Octosexagintacentillion

An octosexagintacentillion is equal to \(10^{507}\) in the short scale and \(10^{1008}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 168th -illion number.
In the long scale, \(10^{507}\) is called quattuoroctogintilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{507}\) (exact) 	\(1\times10^{507}\) (exact)
Arrow notation 	\(10\uparrow 507\) (exact) 	\(10\uparrow 507\) (exact)
Steinhaus-Moser Notation 	216[3] 	217[3]
Chained arrow notation 	\(10\rightarrow 507\) (exact) 	\(10\rightarrow 507\) (exact)
Taro's multivariable Ackermann function	A(3,1681) 	A(3,1682)
BEAF & Bird's array notation 	{10,507} (exact) 	{10,507} (exact)
Hyper-E notation 	E507 (exact) 	E507 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(7)\) 	\(s(1)^3(\lambda x.x+1)(8)\)
m(n) map 	m(1)(216) 	m(1)(217)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)[95] 	(0)(0)(0)(0)(0)(0)(0)(0)[96]
Fast-growing hierarchy 	\(f_2(1673)\) 	\(f_2(1674)\)
Hardy hierarchy 	\(H_{\omega^2}(1673)\) 	\(H_{\omega^2}(1674)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 5+7}}(10)\) (exact)	\(g_{\omega^{\omega^2 5+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1008}\) (exact) 	\(1\times10^{1008}\) (exact)
Arrow notation 	\(10\uparrow 1008\) (exact) 	\(10\uparrow 1008\) (exact)
Steinhaus-Moser Notation 	389[3] 	390[3]
Chained arrow notation 	\(10\rightarrow 1008\) (exact) 	\(10\rightarrow 1008\) (exact)
Taro's multivariable Ackermann function	A(3,3345) 	A(3,3346)
BEAF & Bird's array notation 	{10,1008} (exact) 	{10,1008} (exact)
Hyper-E notation 	E1008 (exact) 	E1008 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(8)\) 	\(s(1)^3(\lambda x.x+1)(9)\)
m(n) map 	m(1)(389) 	m(1)(390)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(3336)\) 	\(f_2(3337)\)
Hardy hierarchy 	\(H_{\omega^2}(3336)\) 	\(H_{\omega^2}(3337)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+8}}(10)\) (exact)	\(g_{\omega^{\omega^3+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Tier 1 -illion numbers