Powers of a million

This is a list of **Powers of a million**.

Long scale Chuquet number nomenclature (L) is based on such powers,while Short scale (S) alternative names exist for some of the lower powers,and names used by long scale are often used by short scale for lower values in short scale.

* 1,000,0002=1 Billion(L)/Trillion(S)
* 1,000,0003=1 Trillion(L)/Quintillion(S)
* 1,000,0004=1 Quadrillion(L)/Septillion(S)
* 1,000,0005=1 Quintillion(L)/Nonillion(S)
* 1,000,0006=1 Sextillion(L)/Undecillion(S)
* 1,000,0007=1 Septillion(L)/Tredecillion(S)
* 1,000,0008=1 Octillion(L)/Quindecillion(S)
* 1,000,0009=1 Nonillion(L)/Septendecillion(S)
* 1,000,00010=1 Decillion(L)/Novemdecillion(S)
* 1,000,00011=1 Undecillion(L)/Unvigintillion(S)
* 1,000,00012=1 Duodecillion(L)/Trevigintillion(S)
* 1,000,00013=1 Tredecillion(L)/Quinvigintillion(S)
* 1,000,00014=1 Quattuordecillion(L)/Septenvigintillion(S)
* 1,000,00015=1 Quindecillion(L)/Novemvigintillion(S)
* 1,000,00016=1 Sexdecillion(L)/Untrigentillion(S)
* 1,000,00017=1 Septendecillion(L)/Tretrigintillion(S)
* 1,000,00018=1 Octodecillion(L)/Quintrigintillion(S)
* 1,000,00019=1 Novemdecillion(L)/Septentrigintillion(S)
* 1,000,00020=1 Vigintillion(L)/Novemtrigintillion(S)
	+ *the un- to novem- prefixes are used to add to each of the below to add 1 to 9 to the L exponent,but counting by tens:*

* 1,000,00030=1 Trigintillion(L)
* 1,000,00040=1 Quadragintillion(L) *spelling variants exist -- e.g. quatrigintillion*
* 1,000,00050=1 Quinquagintillion(L)
* 1,000,00060=1 Sexagintillion(L)
* 1,000,00070=1 Septuagintillion(L)
* 1,000,00080=1 Octogintillion(L) *spelling variants exist -- e.g. octagintillion*
* 1,000,00090=1 Nonagintillion(L)

* 1,000,000100=1 Centillion(L)

The hundred -illions ending with the centillion existed at least by implication by the 1850s.
From this point,a number of conflicting systems have been set up.In 1860,William Downs Henkle(1828-1881) published his system of one million illions in the *Ohio Educational Monthly*...he preferred long scale but was aware of the short.
Rudolf Ondrejka (in 1969 and 1976) and John Candelaria(from 1975 onwards) devised systems based(primarily for Ondrejka,exclusively for Candelaria) on short scale,while from the latter 1980s Louis Epstein devised the Epstein system based on long scale,which is described in full at the lekno.ws web project "Counting Really,*Really,REALLY* High" which also discusses and links to some texts on the Ondrejka and Candelaria systems.
From about 1991 (judging from its inclusion of SI prefixes adopted in that year) Jonathan Bowers created his multi-tiered short scale based system for which many subsequent enthusiasts have created conflicting extensions.

This article gives names from several systems for subsequent **powers of a million** only.

* 1,000,000120 is a *vigincentillion* to Epstein,a *vigesimo-centillion* to Henkle,and a *viginticentillion* to professional mathematicians Conway & Guy and a variety of Bowers followers...allowing for differences in interpolated format...

### Henkle/Bowers extensions to the 1000th power

Names before the / were pioneered by Henkle and those after are from Bowers...the common power of a million gets a differently
devised name because Henkle preferred long scale and Bowers uses only short...thus,the 999th-illion name (Henkle's *nono-nonagesimo-nongentillion*) is used for 1,000,000999 while the 999th Bowers name (besides different format) is used for 1,000,000500.(Some of the Henkle names are used by Bowers for lower values).

* 1,000,000200=1 Ducentillion(L)/Novemnonagintitrecentillion(S)
* 1,000,000300=1 Trecentillion(L)/Novemnonagintiquingentillion(S)
* 1,000,000400=1 Quadringentillion(L)/Novemnonagintiseptingentillion(S)
* 1,000,000500=1 Quingentillion(L)/Novemnonagintinongentillion(S)
* 1,000,000600=1 Sexcentillion(L) *Bowers uses Sescentillion for 101803*
* 1,000,000700=1 Septingentillion(L)
* 1,000,000800=1 Octingentillion(L)
* 1,000,000900=1 Nongentillion(L)

### Epstein system extensions to 1000th power

These names generally conflict with Bowers and Henkle.
Greek prefixes are used for *multiplication* while Latin prefixes *add*.

* 1,000,000200=1 Bicentillion
* 1,000,000300=1 Tricentillion
* 1,000,000400=1 Tetracentillion
* 1,000,000500=1 Pentacentillion or pencentillion
* 1,000,000600=1 Hexacentillion or hexcentillion
* 1,000,000700=1 Heptacentillion
* 1,000,000800=1 Octacentillion
* 1,000,000900=1 Nonacentillion

### The 1000th power

Henkle uses a name he attributes to Alfred Holbrook (coined 1859),
which Bowers (and Ondrejka and Candelaria) use for its short scale value 103003:

* 1,000,0001,000= 1 Millillion

Bowers uses a name he heard elsewhere:

* 1,000,0001,000= 1 Platillion

Epstein system:
1,000,0001,000= 1 **kilillion** (not to be confused with the Bowers Killillion or Killillion (CompactStar))

### Epstein system 1,000th to 1,000,000th power

* 1,000,0002,000=1 bikilillion
* 1,000,0002,500=1 pencenbikilillion
	+ to Henkle this would be a *quingentesimo-bi-millillion*
* 1,000,0003,000=1 trikilillion
* 1,000,0004,000=1 tetrakilillion
* 1,000,0005,000=1 pentakilillion
* 1,000,0006,000=1 hexakilillion
* 1,000,0007,000=1 heptakilillion
* 1,000,0008,000=1 octakilillion
* 1,000,0009,000=1 nonakilillion

* 1,000,00010,000=1 deckilillion
	+ to Henkle this would be a *deci-millillion*

* 1,000,000100,000=1 heckilillion

### Base SI Prefix Names

The uncompounded names in this section are given with their Epstein system values but are also(except for the new prefixes approved in 2022) used by Bowers for values between their base Epstein system values and their first-order hyphenates.

* 1,000,0001,000,000=1 Megillion
	+ This is the Henkle *milli-millillion*,the final number in his system.
* 1,000,0001,000,001=1 Unmegillion
* 1,000,0001,000,002=1 Duomegillion
* 1,000,0001,000,010=1 Decimegillion
* 1,000,0001,000,050=1 Quinquaginmegillion
* 1,000,0001,000,100=1 Cenmegillion
* 1,000,0001,001,000=1 Kilmegillion
* 1,000,0001,002,000=1 Bikilmegillion
* 1,000,0001,010,000=1 Deckilmegillion
* 1,000,0001,100,000=1 Heckilmegillion
* 1,000,0002,000,000=1 Bimegillion
* 1,000,0003,000,000=1 Trimegillion
* 1,000,00010,000,000=1 Decmegillion
* 1,000,00050,000,000=1 Pendecmegillion
* 1,000,000100,000,000=1 Hecmegillion
* 1,000,0001,000,000,000=1 Gigillion
	+ The Ondrejka *milli-millimillillion*,the final number in *his* 1969 system,if interpreted as long rather than short scale.
* 1,000,0002,000,000,000=1 Bigigillion
* 1,000,00010,000,000,000=1 Decgigillion
	+ Multiplication and addition continue for gig-,etc as for meg-
* 1,000,0001,000,000,000,000=1 Terillion
* 1,000,0001,000,000,000,000,000=1 Petillion
* 1,000,0001,000,000,000,000,000,000=1 Exillion
* 1,000,0001,000,000,000,000,000,000,000=1 Zettillion
* 1,000,0001,000,000,000,000,000,000,000,000=1 Yottillion
* 1,000,0001,000,000,000,000,000,000,000,000,000=1 Ronnillion
* 1,000,0001,000,000,000,000,000,000,000,000,000,000=1 Quettillion

### Epstein system hyphenates

After the prefixes give out,hyphens denote layers of exponentiation in the Epstein system.
Before the 1991 extension the now *decexillion* was a *decatrillio-illion* and before the 2022 extension
the now *decyottillion* was a *decaquadrillio-illion*.

* 1,000,00010,000,000,000,000,000,000,000,000,000,000=1 decaquintillio-illion
* 1,000,000100,000,000,000,000,000,000,000,000,000,000=1 hectoquintillio-illion
* 1,000,0001,000,000,000,000,000,000,000,000,000,000,000=1 quintillia-illion (1033 is a long scale *quintilliard* and this is the quintilliardth power of a million)

* 1,000,0001036=1 sextillio-illion
* 1,000,0001042=1 septillio-illion
* 1,000,0001048=1 octillio-illion
* 1,000,0001054=1 nonillio-illion
* 1,000,0001060=1 decillio-illion
* 1,000,00010120=1 vigintillio-illion

* 1,000,00010600=1 centillio-illion
* 1,000,000106,000=1 kilillio-illion
* 1,000,000106,001=1 decakilillio-illion
* 1,000,000106,002=1 hectokilillio-illion
* 1,000,0001060,000=1 deckilillio-illion
* 1,000,00010600,000=1 heckilillio-illion
* 1,000,000106,000,000=1 megillio-illion
* 1,000,0001060,000,000=1 decmegillio-illion
* 1,000,00010600,000,000=1 hecmegillio-illion

* 1,000,000106,000,000,000=1 gigillio-illion
* 1,000,0001060,000,000,000=1 decgigillio-illion
* 1,000,000106,000,000,000,000=1 Terillio-illion
* 1,000,000106,000,000,000,000,000=1 petillio-illion
* 1,000,000106,000,000,000,000,000,000=1 exillio-illion
* 1,000,000106,000,000,000,000,000,000,000=1 zettillio-illion
* 1,000,000106,000,000,000,000,000,000,000,000=1 yottillio-illion
* 1,000,000106,000,000,000,000,000,000,000,000,000=1 ronnillio-illion
* 1,000,000106,000,000,000,000,000,000,000,000,000,000=1 quettillio-illion

#### Second-order hyphenates

Each second-order hyphenate is a million raised to the corresponding first-order hyphenate.

* 1,000,0001,000,0001031=1 decaquintillio-illio-illion
* 1,000,0001,000,0001033=1 quintillia-illio-illion
* 1,000,0001,000,0001036=1 sextillio-illio-illion
* 1,000,0001,000,0001060=1 decillio-illio-illion
* 1,000,0001,000,00010120=1 vigintillio-illio-illion
* 1,000,0001,000,00010600=1 centillio-illio-illion
* 1,000,0001,000,000106,000=1 kilillio-illio-illion

* 1,000,0001,000,000106,000,000=1 megillio-illio-illion
* 1,000,0001,000,000106,000,000,000=1 gigillio-illio-illion
* 1,000,0001,000,000106,000,000,000,000=1 terillio-illio-illion
* 1,000,0001,000,000106,000,000,000,000,000=1 petillio-illio-illion
* 1,000,0001,000,000106,000,000,000,000,000,000=1 exillio-illio-illion
* 1,000,0001,000,000106,000,000,000,000,000,000,000=1 zettillio-illio-illion
* 1,000,0001,000,000106,000,000,000,000,000,000,000,000=1 yottillio-illio-illion
* 1,000,0001,000,000106,000,000,000,000,000,000,000,000,000=1 ronnillio-illio-illion
* 1,000,0001,000,000106,000,000,000,000,000,000,000,000,000,000=1 quettillio-illio-illion

#### Third-order hyphenates

Each third-order hyphenate is a million raised to the corresponding second-order hyphenate.
The Bowers named -illions give out before the septillio-illio-illio-illion is reached.

* 1,000,0001,000,0001,000,0001033=1 quintillia-illio-illio-illion
* 1,000,0001,000,0001,000,0001060=1 decillio-illio-illio-illion
	+ in this range one moves past the "ultimilillion" at the end of Ondrejka's 1976 system.
* 1,000,0001,000,0001,000,00010600=1 centillio-illio-illio-illion
* 1,000,0001,000,0001,000,000106,000=1 kilillio-illio-illio-illion
* 1,000,0001,000,0001,000,0001,000,0001,000,000=1 megillio-illio-illio-illion
* 1,000,0001,000,0001,000,0001,000,0001,000,000,000,000=1 terillio-illio-illio-illion
* 1,000,0001,000,0001,000,0001,000,0001018=1 exillio-ilio-illio-illion
* 1,000,0001,000,0001,000,0001,000,0001024=1 yottillio-illio-illio-illion
* 1,000,0001,000,0001,000,0001,000,0001030=1 quettillio-illio-illio-illion

#### Fourth order hyphenates

Each fourth-order hyphenate is a million raused to the corresponding third-order hyphenate,etc.

1,000,0001,000,0001,000,0001,000,0001,000,0001,000,000

(or 1,000,000↑↑6)

is a megillio-illio-illio-illio-illion,

1,000,0001,000,0001,000,0001,000,0001,000,0001,000,000,000,000,000,000

is an exillio-illio-illio-illio-illion,etc.

### Epstein system apostrophe numbers

The element before an apostrophe defines the number of layers of exponentiation,each exponent being of the size set by what comes from there to the final hyphen.

* a deca'decillio-illion is a million raised to a stack of 10 long scale decillions.
* a mega'megillio-illion is a million raised to a stack of a million megillions.
* a mega'megillio-illio-illion is a million raised to a stack of a million megillio-illions.
* a megillio'megillio-illion is a million raised to a stack of a megillion megillions.
* a megillio-illio'megillio-illion is a million raised to a stack of a megillio-illion megillions.
* a megillio-illio-illio-illio'megillio-illion is a million raised to a stack of a megillio-illio-illio-illion megillions:

1,000,000((1,000,000↑↑2)↑↑(1,000,000↑↑5))

* an exillio-illio-illio-illio'exillio-illion is a million raised to a stack of an exillio-illio-illio-illion exillions,etc.

As detailed at the referenced website,there are further degrees beyond the apostrophe numbers.

1. ↑ "Names of the Periods in Numeration" by W.D. Henkle
2. ↑ "Counting Really,*Really,REALLY* High"
3. ↑ "-Illion numbers" at Bowers's website