Vigintillion

A vigintillion is equal to 1063 in the short scale, or 10120 in the long scale.Merriam-Webster Dictionary VigintillionConway and Guy. The Book of Numbers. Copernicus. 1995. ISBN 978-0387979939 p.16Vigintillion at Wolfram MathWorldIllion Numbers by Jonathan BowersConway and Guy (1995) "The book of Numbers" CopernicusFish, Conway's zillion numbers, 2022/02/20. It is the largest -illion with a recognized name in the English language other than the much larger centillion, although the extended names to the -illions like unvigintillion have been recognized by many people as well. It is also the second-largest -illion number found in most major English dictionaries, and is the fourth-largest largest number found in most major English dictionaries (after googol, centillion, and googolplex). It is 64 digits long in short scale, and 121 digits long in long scale.
In the long scale, 1063 is called decilliard, which is commonly used in France and Germany.
This number is also called icosihenillion in Russ Rowlett's Greek-based naming system of -illions.Russ Rowlett　Names for Large Numbers　Archived 2006-01-10.
Aarex Tiaokhiao gave the name vigimillion, referring to the value of this number.Aarex Tiaokhiao's illion numbers
BlankEntity calls this number Voogol.BlankEntity's Googology Site
== Decimal expansion ==
*1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 - short scale
*1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 - long scale
== Examples ==
*The volume of the Virgo Super Cluster (The super cluster in which we reside) is roughly 3.54 vigintillion cubic kilometers.Saibian, Sbiis. Larger numbers in science.
*For prefixes that mean multipling by one vigintillion, see Prefix 10^63.
*One vigintillion (1×1063) is Archimedes' estimate in The Sand Reckoner of the total number of grains of sand that could fit into the entire cosmos, the diameter of which he estimated in stadia to be what we call 2 light years.
== List of prefixed numbers derived from vigintillion ==
Name 	Short scale	Long scale
unvigintillion 	1066 	10126
duovigintillion 	1069 	10132
tresvigintillion 	1072 	10138
quattuorvigintillion	1075 	10144
quinvigintillion 	1078 	10150
sesvigintillion 	1081 	10156
septemvigintillion 	1084 	10162
octovigintillion 	1087 	10168
novemvigintillion 	1090 	10174
== Approximations ==
For short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{63}\) 	\(1\times10^{63}\)
Arrow notation 	\(10\uparrow63\) 	\(10\uparrow63\)
Steinhaus-Moser Notation 	39[3] 	40[3]
Copy notation 	9[63] 	10[32]
Taro's multivariable Ackermann function	A(3,206) 	A(3,207)
Pound-Star Notation 	#*(1,9,0,6)*12 	#*(5,2,0,2,4,2)*7
BEAF 	{10,63} 	{10,63}
Hyper-E notation 	E63 	E63
s(n) map 	\(s(1)^2(\lambda x.x+1)(201)\)	\(s(1)^2(\lambda x.x+1)(202)\)
m(n) map 	m(1)(39) 	m(1)(40)
Bashicu matrix system 	(0)(0)(0)(0)[8659] 	(0)(0)(0)(0)[8660]
Hyperfactorial array notation 	49! 	50!
Fast-growing hierarchy 	\(f_2(201)\) 	\(f_2(202)\)
Hardy hierarchy 	\(H_{\omega^2}(201)\) 	\(H_{\omega^2}(202)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega6+3}}(10)\)	\(g_{\omega^{\omega6+3}}(10)\)
For long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{120}\) 	\(1\times10^{120}\)
Arrow notation 	\(10\uparrow120\) 	\(10\uparrow120\)
Steinhaus-Moser Notation 	65[3] 	66[3]
Copy notation 	9[120] 	1[121]
Taro's multivariable Ackermann function	A(3,395) 	A(3,396)
Pound-Star Notation 	#*(9,5,5,10,4,5,6,4)*8 	#*(10,5,5,10,4,5,6,4)*8
BEAF 	{10,120} 	{10,120}
Hyper-E notation 	E120 	E120
s(n) map 	\(s(1)^2(\lambda x.x+1)(390)\) 	\(s(1)^2(\lambda x.x+1)(391)\)
m(n) map 	m(1)(65) 	m(1)(66)
Bashicu matrix system 	(0)(0)(0)(0)(0)[5623] 	(0)(0)(0)(0)(0)[5624]
Hyperfactorial array notation 	80! 	81!
Fast-growing hierarchy 	\(f_2(390)\) 	\(f_2(391)\)
Hardy hierarchy 	\(H_{\omega^2}(390)\) 	\(H_{\omega^2}(391)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2+\omega2}}(10)\)	\(g_{\omega^{\omega^2+\omega2}}(10)\)
== Sources ==
== See also ==
*Vigintyllion
ja:ビジンティリオン
fr:Vigintillion
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