Octosexagintaseptingentillion

An octosexagintaseptingentillion is equal to \(10^{2307}\) in the short scale and \(10^{4608}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 768th -illion number.
In the long scale, \(10^{2307}\) is called quattuoroctogintatrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2307}\) (exact) 	\(1\times10^{2307}\) (exact)
Arrow notation 	\(10\uparrow 2307\) (exact) 	\(10\uparrow 2307\) (exact)
Steinhaus-Moser Notation 	795[3] 	796[3]
Chained arrow notation 	\(10\rightarrow 2307\) (exact) 	\(10\rightarrow 2307\) (exact)
Taro's multivariable Ackermann function	A(3,7660) 	A(3,7661)
BEAF & Bird's array notation 	{10,2307} (exact) 	{10,2307} (exact)
Hyper-E notation 	E2307 (exact) 	E2307 (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)(795) 	m(1)(796)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7650)\) 	\(f_2(7651)\)
Hardy hierarchy 	\(H_{\omega^2}(7650)\) 	\(H_{\omega^2}(7651)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 3+7}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 3+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4608}\) (exact) 	\(1\times10^{4608}\) (exact)
Arrow notation 	\(10\uparrow 4608\) (exact) 	\(10\uparrow 4608\) (exact)
Steinhaus-Moser Notation 	1456[3] 	1457[3]
Chained arrow notation 	\(10\rightarrow 4608\) (exact) 	\(10\rightarrow 4608\) (exact)
Taro's multivariable Ackermann function	A(3,15304) 	A(3,15305)
BEAF & Bird's array notation 	{10,4608} (exact) 	{10,4608} (exact)
Hyper-E notation 	E4608 (exact) 	E4608 (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)(1456) 	m(1)(1457)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(15293)\) 	\(f_2(15294)\)
Hardy hierarchy 	\(H_{\omega^2}(15293)\) 	\(H_{\omega^2}(15294)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 6+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 6+8}}(10)\) (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