Quadragintillion

A quadragintillion is equal to 10123 in the short scale, or \(10^{240}\) in the long scale by Conway and Guy's naming systemConway and Guy. (1995) "The book of Numbers" CopernicusSteve Olsen, Big-Ass NumbersThe Conway-Wechsler System and Jonathan Bowers's system.
In the long scale which is commonly used in France and Germany, 10123 is called vigintilliard.
==In decimal form==
Short Scale
Long Scale 
== Approximations ==
For short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{123}\) 	\(1\times10^{123}\)
Arrow notation 	\(10\uparrow123\) 	\(10\uparrow123\)
Steinhaus-Moser Notation 	67[3] 	68[3]
Copy notation 	9[123] 	10[62]
Taro's multivariable Ackermann function	A(3,405) 	A(3,406)
Pound-Star Notation 	#*(5,1,8,4,7,1,5,7)*8 	#*(6,1,8,4,7,1,5,7)*8
BEAF 	{10,123} 	{10,123}
Hyper-E notation 	E123 	E123
Bashicu matrix system 	(0)(0)(0)(0)(0)[6978] 	(0)(0)(0)(0)(0)[6979]
Hyperfactorial array notation 	82! 	83!
Fast-growing hierarchy 	\(f_2(399)\) 	\(f_2(400)\)
Hardy hierarchy 	\(H_{\omega^2}(399)\) 	\(H_{\omega^2}(400)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2+\omega2+3}}(10)\)	\(g_{\omega^{\omega^2+\omega2+3}}(10)\)
For long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{240}\) 	\(1\times10^{240}\)
Arrow notation 	\(10\uparrow240\) 	\(10\uparrow240\)
Steinhaus-Moser Notation 	116[3] 	117[3]
Copy notation 	9[240] 	1[241]
Taro's multivariable Ackermann function	A(3,794) 	A(3,795)
Pound-Star Notation 	#*((187))*10 	#*((188))*10
BEAF 	{10,240} 	{10,240}
Hyper-E notation 	E240 	E240
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)[5623] 	(0)(0)(0)(0)(0)(0)[5624]
Hyperfactorial array notation 	139! 	140!
Fast-growing hierarchy 	\(f_2(787)\) 	\(f_2(788)\)
Hardy hierarchy 	\(H_{\omega^2}(787)\) 	\(H_{\omega^2}(788)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^22+\omega4}}(10)\)	\(g_{\omega^{\omega^22+\omega4}}(10)\)
== Examples ==
*A proton and a neutron are both 100 quadragintillion times smaller than the observable universe.1.3 Sizes of the -illions - Pointless Large Number Stuff#One quadragintillion
==List of prefixed numbers derived from quadragintillion==
Name 	Short scale	Long scale
unquadragintillion 	10126 	10246
duoquadragintillion 	10129 	10252
tresquadragintillion 	10132 	10258
quattuorquadragintillion	10135 	10264
quinquadragintillion 	10138 	10270
sesquadragintillion 	10141 	10276
septenquadragintillion 	10144 	10282
octoquadragintillion 	10147 	10288
novenquadragintillion 	10150 	10294
== Sources ==
== See also ==
Category:Numbers
Category:Illion
Category:Class 2
Category:Quadragintillion
Category:Numbers with 101 to 999 digits
Category:Tier 1 -illion numbers
Category:Powers of 10 with squarefree exponent