Octoseptingentillion

An octoseptingentillion is equal to \(10^{2127}\) in the short scale and \(10^{4248}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 708th -illion number.
In the long scale, \(10^{2127}\) is called quattuorquinquagintatrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2127}\) (exact) 	\(1\times10^{2127}\) (exact)
Arrow notation 	\(10\uparrow 2127\) (exact) 	\(10\uparrow 2127\) (exact)
Steinhaus-Moser Notation 	741[3] 	742[3]
Chained arrow notation 	\(10\rightarrow 2127\) (exact) 	\(10\rightarrow 2127\) (exact)
Taro's multivariable Ackermann function	A(3,7062) 	A(3,7063)
BEAF & Bird's array notation 	{10,2127} (exact) 	{10,2127} (exact)
Hyper-E notation 	E2127 (exact) 	E2127 (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)(741) 	m(1)(742)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7052)\) 	\(f_2(7053)\)
Hardy hierarchy 	\(H_{\omega^2}(7052)\) 	\(H_{\omega^2}(7053)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2+\omega 2+7}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2+\omega 2+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4248}\) (exact) 	\(1\times10^{4248}\) (exact)
Arrow notation 	\(10\uparrow 4248\) (exact) 	\(10\uparrow 4248\) (exact)
Steinhaus-Moser Notation 	1356[3] 	1357[3]
Chained arrow notation 	\(10\rightarrow 4248\) (exact) 	\(10\rightarrow 4248\) (exact)
Taro's multivariable Ackermann function	A(3,14108) 	A(3,14109)
BEAF & Bird's array notation 	{10,4248} (exact) 	{10,4248} (exact)
Hyper-E notation 	E4248 (exact) 	E4248 (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)(1356) 	m(1)(1357)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(14097)\) 	\(f_2(14098)\)
Hardy hierarchy 	\(H_{\omega^2}(14097)\) 	\(H_{\omega^2}(14098)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 2+\omega 4+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 2+\omega 4+8}}(10)\) (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