Quinquadragintillion

A quinquadragintillion is equal to \(10^{138}\) or \(10^{270}\) in France and Germany by Conway-Wechsler system.Conway and Guy. (1995) "The book of Numbers" CopernicusThe Conway-Wechsler SystemSteve Olsen, Big-Ass NumbersExtensions to the -illions I: Henkle, Conway, and RowlettFish. Conway's zillion numbers, July 25, 2021
In the long scale which is commonly used in France and Germany, \(10^{138}\) is called tresvigintillion.
The lifetime of our universe is about 10 quinquadragintillion years.https://journals.aps.org/prd/pdf/10.1103/PhysRevD.97.056006
== Decimal expansion ==
In short scale:
In long scale:
== Approximations ==
For short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{138}\) 	\(1\times10^{138}\)
Arrow notation 	\(10\uparrow138\) 	\(10\uparrow138\)
Steinhaus-Moser Notation 	73[3] 	74[3]
Copy notation 	9[138] 	1[139]
Taro's multivariable Ackermann function	A(3,455) 	A(3,456)
Pound-Star Notation 	#*(3,2,7,11,8,2,9,1)*10 	#*(5,11,7,12,11,1)*16
BEAF 	{10,138} 	{10,138}
Hyper-E notation 	E138 	E138
Bashicu matrix system 	(0)(0)(0)(0)(0)[20535] 	(0)(0)(0)(0)(0)[20536]
Hyperfactorial array notation 	89! 	90!
Fast-growing hierarchy 	\(f_2(449)\) 	\(f_2(450)\)
Hardy hierarchy 	\(H_{\omega^2}(449)\) 	\(H_{\omega^2}(450)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2+\omega3+8}}(10)\)	\(g_{\omega^{\omega^2+\omega3+8}}(10)\)
For long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{270}\) 	\(1\times10^{270}\)
Arrow notation 	\(10\uparrow270\) 	\(10\uparrow270\)
Steinhaus-Moser Notation 	128[3] 	129[3]
Copy notation 	9[270] 	1[271]
Taro's multivariable Ackermann function	A(3,893) 	A(3,894)
Pound-Star Notation 	#*((7101))*10 	#*((7102))*10
BEAF 	{10,270} 	{10,270}
Hyper-E notation 	E270 	E270
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)[16548] 	(0)(0)(0)(0)(0)(0)[16549]
Hyperfactorial array notation 	153! 	154!
Fast-growing hierarchy 	\(f_2(887)\) 	\(f_2(888)\)
Hardy hierarchy 	\(H_{\omega^2}(887)\) 	\(H_{\omega^2}(888)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^22+\omega7}}(10)\)	\(g_{\omega^{\omega^22+\omega7}}(10)\)
==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:Class 2
Category:Illion
Category:Numbers in science
Category:Numbers with 101 to 999 digits
Category:Quadragintillion
Category:Powers of 10 with squarefree exponent