Octoseptuagintatrecentillion

An octoseptuagintatrecentillion is equal to \(10^{1137}\) in the short scale and \(10^{2268}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 378th -illion number.
In the long scale, \(10^{1137}\) is called novemoctogintacentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1137}\) (exact) 	\(1\times10^{1137}\) (exact)
Arrow notation 	\(10\uparrow 1137\) (exact) 	\(10\uparrow 1137\) (exact)
Steinhaus-Moser Notation 	431[3] 	432[3]
Chained arrow notation 	\(10\rightarrow 1137\) (exact) 	\(10\rightarrow 1137\) (exact)
Taro's multivariable Ackermann function	A(3,3774) 	A(3,3775)
BEAF & Bird's array notation 	{10,1137} (exact) 	{10,1137} (exact)
Hyper-E notation 	E1137 (exact) 	E1137 (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)(431) 	m(1)(432)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(3765)\) 	\(f_2(3766)\)
Hardy hierarchy 	\(H_{\omega^2}(3765)\) 	\(H_{\omega^2}(3766)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2+\omega 3+7}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2+\omega 3+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2268}\) (exact) 	\(1\times10^{2268}\) (exact)
Arrow notation 	\(10\uparrow 2268\) (exact) 	\(10\uparrow 2268\) (exact)
Steinhaus-Moser Notation 	783[3] 	784[3]
Chained arrow notation 	\(10\rightarrow 2268\) (exact) 	\(10\rightarrow 2268\) (exact)
Taro's multivariable Ackermann function	A(3,7531) 	A(3,7532)
BEAF & Bird's array notation 	{10,2268} (exact) 	{10,2268} (exact)
Hyper-E notation 	E2268 (exact) 	E2268 (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)(783) 	m(1)(784)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7521)\) 	\(f_2(7522)\)
Hardy hierarchy 	\(H_{\omega^2}(7521)\) 	\(H_{\omega^2}(7522)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 2+\omega 6+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 2+\omega 6+8}}(10)\) (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