Names Of Large Numbers

*
*
*
*
*
*
*
*
*
*
*
*
* Create account
* Log in
*
*
== Contents ==
*
*
*
*
*
*
*
*
*
*
= Names of large numbers =
* Article
* Talk
* Read
* View source
* View history
*
*
*
*
*
*
*
*
*
*
*
*
*
https://upload.wikimedia.org/wikipedia/en/thumb/1/1b/Semi-protection-shackle.svg/20px-Semi-protection-shackle.svg.png
From Wikipedia, the free encyclopedia
Two naming scales for large numbers have been used in English and other European languages since the early modern era: the long and short scales. Most English variants use the short scale today, but the long scale remains dominant in many non-English-speaking areas, including continental Europeand Spanish-speaking countries in Latin America. These naming procedures are based on taking the number n occurring in 103n+3 (short scale) or 106n(long scale) and concatenating Latin roots for its units, tens, and hundreds place, together with the suffix -illion.
Names of numbers above a trillion are rarely used in practice; such large numbers have practical usage primarily in the scientific domain, where powers of ten are expressed as 10 with a numeric superscript. However, these somewhat rare names are considered acceptable for approximate statements. For example, the statement "There are approximately 7.1 octillion atoms in an adult human body" is understood to be in short scale of the table below (and is only accurate if referring to short scale rather than long scale). 
Indian and Pakistani English do not use millions, but have their own system of large numbers including lakhs (Anglicised as lacs) and crores. English also has many words, such as "zillion", used informally to mean large but unspecified amounts; see indefinite and fictitious numbers.
== Standard dictionary numbers ==
x 	Name
(SS/LS, LS) 	SS(103x+3)	LS(106x, 106x+3)	Authorities	Authorities	Authorities	Authorities	Authorities	Authorities	Authorities	Authorities	Authorities
x 	Name
(SS/LS, LS) 	SS(103x+3)	LS(106x, 106x+3)	AHD4 	CED 	COD 	OED2 	OEDweb 	RHD2 	SOED3 	W3 	HM
1 	Million 	106 	106 	✓ 	✓ 	✓ 	✓ 	✓ 	✓ 	✓ 	✓ 	✓
 	Milliard 	 	109 	✓ 	✓ 	✓ 	✓ 	✓ 	✓ 	 	 	✓
2 	Billion 	109 	1012 	✓ 	✓ 	✓ 	✓ 	✓ 	✓ 	✓ 	✓ 	✓
3 	Trillion 	1012 	1018 	✓ 	✓ 	✓ 	✓ 	✓ 	✓ 	✓ 	✓ 	✓
4 	Quadrillion 	1015 	1024 	✓ 	✓ 	✓ 	✓ 	✓ 	✓ 	✓ 	✓ 	✓
5 	Quintillion 	1018 	1030 	✓ 	✓ 	✓ 	✓ 	✓ 	✓ 	✓ 	✓ 	✓
6 	Sextillion 	1021 	1036 	✓ 	✓ 	 	✓ 	✓ 	✓ 	✓ 	✓ 	✓
7 	Septillion 	1024 	1042 	✓ 	✓ 	 	✓ 	✓ 	✓ 	✓ 	✓ 	✓
8 	Octillion 	1027 	1048 	✓ 	✓ 	 	✓ 	✓ 	✓ 	✓ 	✓ 	✓
9 	Nonillion 	1030 	1054 	✓ 	✓ 	 	✓ 	✓ 	✓ 	✓ 	✓ 	✓
10 	Decillion 	1033 	1060 	✓ 	✓ 	 	✓ 	✓ 	✓ 	✓ 	✓ 	✓
11 	Undecillion 	1036 	1066 	✓ 	✓ 	 	 	 	✓ 	 	✓ 	✓
12 	Duodecillion 	1039 	1072 	✓ 	✓ 	✓ 	 	 	✓ 	 	✓ 	✓
13 	Tredecillion 	1042 	1078 	✓ 	✓ 	 	 	 	✓ 	 	✓ 	✓
14 	Quattuordecillion	1045 	1084 	✓ 	✓ 	 	 	 	✓ 	 	✓ 	✓
15 	Quindecillion 	1048 	1090 	✓ 	✓ 	 	 	 	✓ 	 	✓ 	✓
16 	Sexdecillion 	1051 	1096 	✓ 	✓ 	 	 	 	✓ 	 	✓ 	✓
17 	Septendecillion 	1054 	10102 	✓ 	✓ 	 	 	 	✓ 	 	✓ 	✓
18 	Octodecillion 	1057 	10108 	✓ 	✓ 	 	 	 	✓ 	 	✓ 	✓
19 	Novemdecillion 	1060 	10114 	✓ 	✓ 	 	 	 	✓ 	 	✓ 	✓
20 	Vigintillion 	1063 	10120 	✓ 	✓ 	 	✓ 	✓ 	✓ 	✓ 	✓ 	✓
100	Centillion 	10303 	10600 	✓ 	✓ 	 	✓ 	✓ 	✓ 	 	 	✓
Usage:
* Short scale: US, English Canada, modern British, Australia, and Eastern Europe
* Long scale: French Canada, older British, Western & Central Europe
Apart from million, the words in this list ending with -illion are all derived by adding prefixes (bi-, tri-, etc., derived from Latin) to the stem -illion.Centillion appears to be the highest name ending in -"illion" that is included in these dictionaries. Trigintillion, often cited as a word in discussions of names of large numbers, is not included in any of them, nor are any of the names that can easily be created by extending the naming pattern (unvigintillion, duovigintillion, duo­quinqua­gint­illion, etc.).
Name 	Value 	Authorities	Authorities	Authorities	Authorities	Authorities	Authorities	Authorities	Authorities	Authorities
Name 	Value 	AHD4 	CED 	COD 	OED2 	OEDnew 	RHD2 	SOED3 	W3 	HM
Googol 	10100 	✓ 	✓ 	✓ 	✓ 	✓ 	✓ 	✓ 	✓ 	✓
Googolplex	10googol (1010100)	✓ 	✓ 	✓ 	✓ 	✓ 	✓ 	✓ 	✓ 	✓
All of the dictionaries included googol and googolplex, generally crediting it to the Kasner and Newman book and to Kasner's nephew (see below). None include any higher names in the googol family (googolduplex, etc.). The Oxford English Dictionary comments that googol and googolplex are "not in formal mathematical use".
== Usage of names of large numbers ==
Some names of large numbers, such as million, billion, and trillion, have real referents in human experience, and are encountered in many contexts. At times, the names of large numbers have been forced into common usage as a result of hyperinflation. The highest numerical value banknote ever printed was a note for 1 sextillion pengő (1021 or 1 milliard bilpengő as printed) printed in Hungary in 1946. In 2009, Zimbabwe printed a 100 trillion (1014) Zimbabwean dollar note, which at the time of printing was worth about US$30.
Names of larger numbers, however, have a tenuous, artificial existence, rarely found outside definitions, lists, and discussions of how large numbers are named. Even well-established names like sextillion are rarely used, since in the context of science, including astronomy, where such large numbers often occur, they are nearly always written using scientific notation. In this notation, powers of ten are expressed as 10 with a numeric superscript, e.g. "The X-ray emission of the radio galaxy is 1.3×1045 joules." When a number such as 1045 needs to be referred to in words, it is simply read out as "ten to the forty-fifth" or "ten to the forty-five". This is easier to say and less ambiguous than "quattuordecillion", which means something different in the long scale and the short scale.
When a number represents a quantity rather than a count, SI prefixes can be used—thus "femtosecond", not "one quadrillionth of a second"—although often powers of ten are used instead of some of the very high and very low prefixes. In some cases, specialized units are used, such as the astronomer's parsec and light year or the particle physicist's barn.
Nevertheless, large numbers have an intellectual fascination and are of mathematical interest, and giving them names is one way people try to conceptualize and understand them.
One of the earliest examples of this is The Sand Reckoner, in which Archimedes gave a system for naming large numbers. To do this, he called the numbers up to a myriad myriad (108) "first numbers" and called 108 itself the "unit of the second numbers". Multiples of this unit then became the second numbers, up to this unit taken a myriad myriad times, 108·108=1016. This became the "unit of the third numbers", whose multiples were the third numbers, and so on. Archimedes continued naming numbers in this way up to a myriad myriad times the unit of the 108-th numbers, i.e.  and embedded this construction within another copy of itself to produce names for numbers up to Archimedes then estimated the number of grains of sand that would be required to fill the known universe, and found that it was no more than "one thousand myriad of the eighth numbers" (1063).
Since then, many others have engaged in the pursuit of conceptualizing and naming numbers that have no existence outside the imagination. One motivation for such a pursuit is that attributed to the inventor of the word googol, who was certain that any finite number "had to have a name". Another possible motivation is competition between students in computer programming courses, where a common exercise is that of writing a program to output numbers in the form of English words.[citation needed]
Most names proposed for large numbers belong to systematic schemes which are extensible. Thus, many names for large numbers are simply the result of following a naming system to its logical conclusion—or extending it further.[citation needed]
== Origins of the "standard dictionary numbers" ==
link=https://en.wikipedia.org/wiki/File:Chuquet.gif|right|500x500px
The words bymillion and trimillion were first recorded in 1475 in a manuscript of Jehan Adam. Subsequently, Nicolas Chuquet wrote a book Triparty en la science des nombres which was not published during Chuquet's lifetime. However, most of it was copied by Estienne de La Roche for a portion of his 1520 book, L'arismetique. Chuquet's book contains a passage in which he shows a large number marked off into groups of six digits, with the comment:Ou qui veult le premier point peult signiffier million Le second point byllion Le tiers point tryllion Le quart quadrillion Le cinqe quyllion Le sixe sixlion Le sept.e septyllion Le huyteottyllion Le neufe nonyllion et ainsi des ault's se plus oultre on vouloit preceder(Or if you prefer the first mark can signify million, the second mark byllion, the third mark tryllion, the fourth quadrillion, the fifth quyillion, the sixth sixlion, the seventh septyllion, the eighth ottyllion, the ninth nonyllion and so on with others as far as you wish to go).Adam and Chuquet used the long scale of powers of a million; that is, Adam's bymillion (Chuquet's byllion) denoted 1012, and Adam's trimillion(Chuquet's tryllion) denoted 1018.
== The googol family ==
The names googol and googolplex were invented by Edward Kasner's nephew Milton Sirotta and introduced in Kasner and Newman's 1940 book Mathematics and the Imagination in the following passage:The name "googol" was invented by a child (Dr. Kasner's nine-year-old nephew) who was asked to think up a name for a very big number, namely 1 with one hundred zeroes after it. He was very certain that this number was not infinite, and therefore equally certain that it had to have a name. At the same time that he suggested "googol" he gave a name for a still larger number: "googolplex." A googolplex is much larger than a googol, but is still finite, as the inventor of the name was quick to point out. It was first suggested that a googolplex should be 1, followed by writing zeros until you got tired. This is a description of what would happen if one tried to write a googolplex, but different people get tired at different times and it would never do to have Carnera a better mathematician than Dr. Einstein, simply because he had more endurance. The googolplex is, then, a specific finite number, equal to 1 with a googol zeros after it.
Value 	Name 	Authority
10100 	Googol 	Kasner and Newman, dictionaries (see above)
10googol = 1010100	Googolplex	Kasner and Newman, dictionaries (see above)
John Horton Conway and Richard K. Guy have suggested that N-plex be used as a name for 10N. This gives rise to the name googolplexplex for 10googolplex = 101010100. Conway and Guy have proposed that N-minex be used as a name for 10−N, giving rise to the name googolminex for the reciprocal of a googolplex, which is written as 10-(10100). None of these names are in wide use.
The names googol and googolplex inspired the name of the Internet company Google and its corporate headquarters, the Googleplex, respectively.[citation needed]
== Extensions of the standard dictionary numbers ==
This section illustrates several systems for naming large numbers, and shows how they can be extended past vigintillion.
Traditional British usage assigned new names for each power of one million (the long scale): 1,000,000 = 1 million; 1,000,0002 = 1 billion; 1,000,0003 = 1 trillion; and so on. It was adapted from French usage, and is similar to the system that was documented or invented by Chuquet.
Traditional American usage (which was also adapted from French usage but at a later date), Canadian, and modern British usage assign new names for each power of one thousand (the short scale). Thus, a billion is 1000 × 10002 = 109; a trillion is 1000 × 10003 = 1012; and so forth. Due to its dominance in the financial world (and by the US dollar), this was adopted for official United Nations documents.
Traditional French usage has varied; in 1948, France, which had originally popularized the short scale worldwide, reverted to the long scale.
The term milliard is unambiguous and always means 109. It is seldom seen in American usage and rarely in British usage, but frequently in continental European usage. The term is sometimes attributed to French mathematician Jacques Peletier du Mans c. 1550 (for this reason, the long scale is also known as the Chuquet-Peletier system), but the Oxford English Dictionary states that the term derives from post-Classical Latin term milliartum, which became milliare and then milliart and finally our modern term.
Concerning names ending in -illiard for numbers 106n+3, milliard is certainly in widespread use in languages other than English, but the degree of actual use of the larger terms is questionable. The terms "milliardo" in Italian, "Milliarde" in German, "miljard" in Dutch, "milyar" in Turkish, and "миллиард," milliard (transliterated) in Russian, are standard usage when discussing financial topics.
For additional details, see billion and long and short scale.
The naming procedure for large numbers is based on taking the number n occurring in 103n+3 (short scale) or 106n (long scale) and concatenating Latin roots for its units, tens, and hundreds place, together with the suffix -illion. In this way, numbers up to 103·999+3 = 103000 (short scale) or 106·999 = 105994(long scale) may be named. The choice of roots and the concatenation procedure is that of the standard dictionary numbers if n is 9 or smaller. For larger n (between 10 and 999), prefixes can be constructed based on a system described by Conway and Guy. Today, sexdecillion and novemdecillion are standard dictionary numbers and, using the same reasoning as Conway and Guy did for the numbers up to nonillion, could probably be used to form acceptable prefixes. The Conway–Guy system for forming prefixes:
 	Units 	Tens 	Hundreds
1	Un 	N Deci 	NX Centi
2	Duo 	MS Viginti 	N Ducenti
3	Tre (*) 	NS Triginta 	NS Trecenti
4	Quattuor 	NS Quadraginta 	NS Quadringenti
5	Quin 	NS Quinquaginta	NS Quingenti
6	Se (*) 	N Sexaginta 	N Sescenti
7	Septe (*)	N Septuaginta 	N Septingenti
8	Octo 	MX Octoginta 	MX Octingenti
9	Nove (*) 	Nonaginta 	Nongenti
: (*) ^ When preceding a component marked S or X, "tre" changes to "tres" and "se" to "ses" or "sex"; similarly, when preceding a component marked Mor N, "septe" and "nove" change to "septem" and "novem" or "septen" and "noven".
Since the system of using Latin prefixes will become ambiguous for numbers with exponents of a size which the Romans rarely counted to, like 106,000,258, Conway and Guy co-devised with Allan Wechsler the following set of consistent conventions that permit, in principle, the extension of this system indefinitely to provide English short-scale names for any integer whatsoever. The name of a number 103n+3, where n is greater than or equal to 1000, is formed by concatenating the names of the numbers of the form 103m+3, where m represents each group of comma-separated digits of n, with each but the last "-illion" trimmed to "-illi-", or, in the case of m = 0, either "-nilli-" or "-nillion". For example, 103,000,012, the 1,000,003rd "-illion" number, equals one "millinillitrillion"; 1033,002,010,111, the 11,000,670,036th "-illion" number, equals one "undecillinilli­septua­ginta­ses­centilli­sestrigint­illion"; and 1029,629,629,633, the 9,876,543,210th "-illion" number, equals one "nonillise­septua­ginta­octingentillitres­quadra­ginta­quingentillideciducent­illion".
The following table shows number names generated by the system described by Conway and Guy for the short and long scales.
Base -illion
(short scale)	Base -illion
(long scale)	Value 	US, Canada and modern British
(short scale)	Traditional British
(long scale) 	Traditional European (Peletier)
(long scale)	SI
Symbol 	SI
Prefix
1 	1 	106 	Million 	Million 	Million 	M 	Mega-
2 	1 	109 	Billion 	Thousand million 	Milliard 	G 	Giga-
3 	2 	1012 	Trillion 	Billion 	Billion 	T 	Tera-
4 	2 	1015 	Quadrillion 	Thousand billion 	Billiard 	P 	Peta-
5 	3 	1018 	Quintillion 	Trillion 	Trillion 	E 	Exa-
6 	3 	1021 	Sextillion 	Thousand trillion 	Trilliard 	Z 	Zetta-
7 	4 	1024 	Septillion 	Quadrillion 	Quadrillion 	Y 	Yotta-
8 	4 	1027 	Octillion 	Thousand quadrillion 	Quadrilliard 	R 	Ronna-
9 	5 	1030 	Nonillion 	Quintillion 	Quintillion 	Q 	Quetta-
10 	5 	1033 	Decillion 	Thousand quintillion 	Quintilliard 	Quintilliard 	Quintilliard
11 	6 	1036 	Undecillion 	Sextillion 	Sextillion 	Sextillion 	Sextillion
12 	6 	1039 	Duodecillion 	Thousand sextillion 	Sextilliard 	Sextilliard 	Sextilliard
13 	7 	1042 	Tredecillion 	Septillion 	Septillion 	Septillion 	Septillion
14 	7 	1045 	Quattuordecillion 	Thousand septillion 	Septilliard 	Septilliard 	Septilliard
15 	8 	1048 	Quindecillion 	Octillion 	Octillion 	Octillion 	Octillion
16 	8 	1051 	Sedecillion 	Thousand octillion 	Octilliard 	Octilliard 	Octilliard
17 	9 	1054 	Septendecillion 	Nonillion 	Nonillion 	Nonillion 	Nonillion
18 	9 	1057 	Octodecillion 	Thousand nonillion 	Nonilliard 	Nonilliard 	Nonilliard
19 	10 	1060 	Novendecillion 	Decillion 	Decillion 	Decillion 	Decillion
20 	10 	1063 	Vigintillion 	Thousand decillion 	Decilliard 	Decilliard 	Decilliard
21 	11 	1066 	Unvigintillion 	Undecillion 	Undecillion 	Undecillion 	Undecillion
22 	11 	1069 	Duovigintillion 	Thousand undecillion 	Undecilliard 	Undecilliard 	Undecilliard
23 	12 	1072 	Tresvigintillion 	Duodecillion 	Duodecillion 	Duodecillion 	Duodecillion
24 	12 	1075 	Quattuor­vigint­illion	Thousand duodecillion 	Duodecilliard 	Duodecilliard 	Duodecilliard
25 	13 	1078 	Quinvigintillion 	Tredecillion 	Tredecillion 	Tredecillion 	Tredecillion
26 	13 	1081 	Sesvigintillion 	Thousand tredecillion 	Tredecilliard 	Tredecilliard 	Tredecilliard
27 	14 	1084 	Septemvigintillion 	Quattuordecillion 	Quattuordecillion 	Quattuordecillion 	Quattuordecillion
28 	14 	1087 	Octovigintillion 	Thousand quattuordecillion 	Quattuordecilliard 	Quattuordecilliard 	Quattuordecilliard
29 	15 	1090 	Novemvigintillion 	Quindecillion 	Quindecillion 	Quindecillion 	Quindecillion
30 	15 	1093 	Trigintillion 	Thousand quindecillion 	Quindecilliard 	Quindecilliard 	Quindecilliard
31 	16 	1096 	Untrigintillion 	Sedecillion 	Sedecillion 	Sedecillion 	Sedecillion
32 	16 	1099 	Duotrigintillion 	Thousand sedecillion 	Sedecilliard 	Sedecilliard 	Sedecilliard
33 	17 	10102 	Trestrigintillion 	Septendecillion 	Septendecillion 	Septendecillion 	Septendecillion
34 	17 	10105 	Quattuor­trigint­illion	Thousand septendecillion 	Septendecilliard 	Septendecilliard 	Septendecilliard
35 	18 	10108 	Quintrigintillion 	Octodecillion 	Octodecillion 	Octodecillion 	Octodecillion
36 	18 	10111 	Sestrigintillion 	Thousand octodecillion 	Octodecilliard 	Octodecilliard 	Octodecilliard
37 	19 	10114 	Septentrigintillion 	Novendecillion 	Novendecillion 	Novendecillion 	Novendecillion
38 	19 	10117 	Octotrigintillion 	Thousand novendecillion 	Novendecilliard 	Novendecilliard 	Novendecilliard
39 	20 	10120 	Noventrigintillion 	Vigintillion 	Vigintillion 	Vigintillion 	Vigintillion
40 	20 	10123 	Quadragintillion 	Thousand vigintillion 	Vigintilliard 	Vigintilliard 	Vigintilliard
50 	25 	10153 	Quinquagintillion 	Thousand quinvigintillion 	Quinvigintilliard 	Quinvigintilliard 	Quinvigintilliard
60 	30 	10183 	Sexagintillion 	Thousand trigintillion 	Trigintilliard 	Trigintilliard 	Trigintilliard
70 	35 	10213 	Septuagintillion 	Thousand quintrigintillion 	Quintrigintilliard 	Quintrigintilliard 	Quintrigintilliard
80 	40 	10243 	Octogintillion 	Thousand quadragintillion 	Quadragintilliard 	Quadragintilliard 	Quadragintilliard
90 	45 	10273 	Nonagintillion 	Thousand quin­quadra­gint­illion 	Quin­quadra­gint­illiard 	Quin­quadra­gint­illiard 	Quin­quadra­gint­illiard
100 	50 	10303 	Centillion 	Thousand quinquagintillion 	Quinquagintilliard 	Quinquagintilliard 	Quinquagintilliard
101 	51 	10306 	Uncentillion 	Unquinquagintillion 	Unquinquagintillion 	Unquinquagintillion 	Unquinquagintillion
110 	55 	10333 	Decicentillion 	Thousand quin­quinqua­gint­illion 	Quin­quinqua­gint­illiard 	Quin­quinqua­gint­illiard 	Quin­quinqua­gint­illiard
111 	56 	10336 	Undecicentillion 	Ses­quinqua­gint­illion 	Ses­quinqua­gint­illion 	Ses­quinqua­gint­illion 	Ses­quinqua­gint­illion
120 	60 	10363 	Viginticentillion 	Thousand sexagintillion 	Sexagintilliard 	Sexagintilliard 	Sexagintilliard
121 	61 	10366 	Unviginticentillion 	Unsexagintillion 	Unsexagintillion 	Unsexagintillion 	Unsexagintillion
130 	65 	10393 	Trigintacentillion 	Thousand quinsexagintillion 	Quinsexagintilliard 	Quinsexagintilliard 	Quinsexagintilliard
140 	70 	10423 	Quadra­gintacent­illion	Thousand septuagintillion 	Septuagintilliard 	Septuagintilliard 	Septuagintilliard
150 	75 	10453 	Quinqua­gintacent­illion	Thousand quin­septua­gint­illion 	Quin­septua­gint­illiard 	Quin­septua­gint­illiard 	Quin­septua­gint­illiard
160 	80 	10483 	Sexagintacentillion 	Thousand octogintillion 	Octogintilliard 	Octogintilliard 	Octogintilliard
170 	85 	10513 	Septuagintacentillion 	Thousand quinoctogintillion 	Quinoctogintilliard 	Quinoctogintilliard 	Quinoctogintilliard
180 	90 	10543 	Octogintacentillion 	Thousand nonagintillion 	Nonagintilliard 	Nonagintilliard 	Nonagintilliard
190 	95 	10573 	Nonagintacentillion 	Thousand quinnonagintillion 	Quinnonagintilliard 	Quinnonagintilliard 	Quinnonagintilliard
200 	100	10603 	Ducentillion 	Thousand centillion 	Centilliard 	Centilliard 	Centilliard
300 	150	10903 	Trecentillion 	Thousand quinqua­gintacent­illion 	Quinqua­gintacent­illiard 	Quinqua­gintacent­illiard 	Quinqua­gintacent­illiard
400 	200	101203	Quadringentillion 	Thousand ducentillion 	Ducentilliard 	Ducentilliard 	Ducentilliard
500 	250	101503	Quingentillion 	Thousand quinqua­gintaducent­illion 	Quinqua­gintaducent­illiard 	Quinqua­gintaducent­illiard 	Quinqua­gintaducent­illiard
600 	300	101803	Sescentillion 	Thousand trecentillion 	Trecentilliard 	Trecentilliard 	Trecentilliard
700 	350	102103	Septingentillion 	Thousand quinqua­gintatrecent­illion 	Quinqua­gintatrecent­illiard 	Quinqua­gintatrecent­illiard 	Quinqua­gintatrecent­illiard
800 	400	102403	Octingentillion 	Thousand quadringentillion 	Quadringentilliard 	Quadringentilliard 	Quadringentilliard
900 	450	102703	Nongentillion 	Thousand quinqua­ginta­quadringent­illion	Quinqua­ginta­quadringent­illiard	Quinqua­ginta­quadringent­illiard	Quinqua­ginta­quadringent­illiard
1000	500	103003	Millinillion 	Thousand quingentillion 	Quingentilliard 	Quingentilliard 	Quingentilliard
Value 	Name 	Equivalent 	Equivalent 	Equivalent
Value 	Name 	US, Canadian and modern British
(short scale) 	Traditional British
(long scale) 	Traditional European (Peletier)
(long scale)
10100 	Googol 	Ten duotrigintillion 	Ten thousand sedecillion 	Ten sedecilliard
1010100	Googolplex	[1] Ten trilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­trestrigintatrecentilli­duotrigintatrecentillion	[2] Ten thousand milli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentillion	[2] Ten milli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilli­sesexagintasescentilliard
: ^[1] Googolplex's short scale name is derived from it equal to ten of the 3,​333,​333,​333,​333,​333,​333,​333,​333,​333,​333,​333,​333,​333,​333,​333,​333,​333,​333,​333,​333,​333,​333,​333,​333,​333,​333,​333,​333,​333,​333,​333,​333,​332nd "-illion"s (This is the value of n when 10 × 10(3n + 3) = 1010100)
: ^[2] Googolplex's long scale name (both traditional British and traditional European) is derived from it being equal to ten thousand of the 1,​666,​666,​666,​666,​666,​666,​666,​666,​666,​666,​666,​666,​666,​666,​666,​666,​666,​666,​666,​666,​666,​666,​666,​666,​666,​666,​666,​666,​666,​666,​666,​666,​666th "-illion"s (This is the value of n when 10,000 × 106n = 1010100).
== Binary prefixes ==
The International System of Quantities (ISQ) defines a series of prefixes denoting integer powers of 1024 between 10241 and 10248.
Power	Value	ISQ
symbol	ISQ
prefix
1 	10241	Ki	Kibi-
2 	10242	Mi	Mebi-
3 	10243	Gi	Gibi-
4 	10244	Ti	Tebi-
5 	10245	Pi	Pebi-
6 	10246	Ei	Exbi-
7 	10247	Zi	Zebi-
8 	10248	Yi	Yobi-
== Other named large numbers used in mathematics, physics and chemistry ==
* Avogadro number
* Graham's number
* Skewes's number
* Steinhaus–Moser notation
* TREE(3)
* Rayo's number
* SSCG(3)
== See also ==
* https://upload.wikimedia.org/wikipedia/commons/thumb/3/3e/Nuvola_apps_edu_mathematics_blue-p.svg/28px-Nuvola_apps_edu_mathematics_blue-p.svg.pngMathematics portal
* -yllion – Mathematical notation
* Infinity – Mathematical concept
* Asaṃkhyeya – Buddhist name for a large number
* Chinese numerals – Characters used to denote numbers in Chinese
* History of large numbers
* Indefinite and fictitious numbers
* Indian numbering system – Indian methods of naming large numbers
* Japanese numerals – Number words used in the Japanese language
* Knuth's up-arrow notation – Method of notation of very large integers
* Law of large numbers – Averages of repeated trials converge to the expected value
* List of numbers – Notable numbers
* Long and short scale – Two meanings of "billion" and "trillion"
* Metric prefix – Order of magnitude indicator
* Names of small numbers
* Number names – Word or phrase which describes a numerical quantity
* Number prefix – Prefix derived from numerals or other numbers
* Orders of magnitude – Scale of numbers with a fixed ratio
* Orders of magnitude (data) – Computer data measurements and scales
* Orders of magnitude (numbers) – Scale of numbers of interest arranged from small to large
* Power of 10 – Ten raised to an integer power
== References ==
#
#
#
#
#
#
#
#
#
#
#
#
#
#
#
#
#
#
* v
* t
* e
Large numbers	
* v
* t
* e
Large numbers	 	
Examples 
in
numerical 
order	
* Thousand
* Ten thousand
* Hundred thousand
* Million
* Ten million
* Hundred million
* Billion
* Trillion
* Quadrillion
* Quintillion
* Sextillion
* Septillion
* Octillion
* Nonillion
* Decillion
* Eddington number
* Googol
* Shannon number
* Googolplex
* Skewes's number
* Moser's number
* Graham's number
* TREE(3)
* SSCG(3)
* BH(3)
* Rayo's number
* Transfinite numbers	 	
Expression
methods	
{| class="fandom-table"	Notations	
* Scientific notation
* Knuth's up-arrow notation
* Conway chained arrow notation
* Steinhaus–Moser notation
Operators	
* Hyperoperation 
** Tetration
** Pentation
* Ackermann function
* Grzegorczyk hierarchy
* Fast-growing hierarchy	 	
Categories: 
* Large numbers
* Numeral systems
* Numerals
* Numbers
* Integers
* This page was last edited on 7 May 2024, at 15:18 (UTC).
* Text is available under the Creative Commons Attribution-ShareAlike License 4.0; additional terms may apply. By using this site, you agree to the Terms of Use and Privacy Policy. Wikipedia® is a registered trademark of the Wikimedia Foundation, Inc., a non-profit organization.
* Privacy policy
* About Wikipedia
* Disclaimers
* Contact Wikipedia
* Code of Conduct
* Developers
* Statistics
* Cookie statement
* Mobile view
*
*
*