Quadragintasescentillion

A quadragintasescentillion is equal to \(10^{1923}\) in the short scale and \(10^{3840}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 640th -illion number.
In the long scale, \(10^{1923}\) is called vigintitrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1923}\) (exact) 	\(1\times10^{1923}\) (exact)
Arrow notation 	\(10\uparrow 1923\) (exact) 	\(10\uparrow 1923\) (exact)
Steinhaus-Moser Notation 	679[3] 	680[3]
Chained arrow notation 	\(10\rightarrow 1923\) (exact) 	\(10\rightarrow 1923\) (exact)
Taro's multivariable Ackermann function	A(3,6385) 	A(3,6386)
BEAF & Bird's array notation 	{10,1923} (exact) 	{10,1923} (exact)
Hyper-E notation 	E1923 (exact) 	E1923 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(9)\) 	\(s(1)^3(\lambda x.x+1)(10)\)
m(n) map 	m(1)(679) 	m(1)(680)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(6375)\) 	\(f_2(6376)\)
Hardy hierarchy 	\(H_{\omega^2}(6375)\) 	\(H_{\omega^2}(6376)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 9+\omega 2+3}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 9+\omega 2+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3840}\) (exact) 	\(1\times10^{3840}\) (exact)
Arrow notation 	\(10\uparrow 3840\) (exact) 	\(10\uparrow 3840\) (exact)
Steinhaus-Moser Notation 	1241[3] 	1242[3]
Chained arrow notation 	\(10\rightarrow 3840\) (exact) 	\(10\rightarrow 3840\) (exact)
Taro's multivariable Ackermann function	A(3,12753) 	A(3,12754)
BEAF & Bird's array notation 	{10,3840} (exact) 	{10,3840} (exact)
Hyper-E notation 	E3840 (exact) 	E3840 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(10)\) 	\(s(1)^3(\lambda x.x+1)(11)\)
m(n) map 	m(1)(1241) 	m(1)(1242)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(12742)\) 	\(f_2(12743)\)
Hardy hierarchy 	\(H_{\omega^2}(12742)\) 	\(H_{\omega^2}(12743)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 8+\omega 4}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 8+\omega 4}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers