Octoquadragintacentillion

An octoquadragintacentillion is equal to \(10^{447}\) in the short scale and \(10^{888}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 148th -illion number.
In the long scale, \(10^{447}\) is called quattuorseptuagintilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{447}\) (exact) 	\(1\times10^{447}\) (exact)
Arrow notation 	\(10\uparrow 447\) (exact) 	\(10\uparrow 447\) (exact)
Steinhaus-Moser Notation 	195[3] 	196[3]
Chained arrow notation 	\(10\rightarrow 447\) (exact) 	\(10\rightarrow 447\) (exact)
Taro's multivariable Ackermann function	A(3,1481) 	A(3,1482)
BEAF & Bird's array notation 	{10,447} (exact) 	{10,447} (exact)
Hyper-E notation 	E447 (exact) 	E447 (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)(195) 	m(1)(196)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)[55] 	(0)(0)(0)(0)(0)(0)(0)(0)[56]
Fast-growing hierarchy 	\(f_2(1474)\) 	\(f_2(1475)\)
Hardy hierarchy 	\(H_{\omega^2}(1474)\) 	\(H_{\omega^2}(1475)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 4+\omega 4+7}}(10)\) (exact)	\(g_{\omega^{\omega^2 4+\omega 4+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{888}\) (exact) 	\(1\times10^{888}\) (exact)
Arrow notation 	\(10\uparrow 888\) (exact) 	\(10\uparrow 888\) (exact)
Steinhaus-Moser Notation 	349[3] 	350[3]
Chained arrow notation 	\(10\rightarrow 888\) (exact) 	\(10\rightarrow 888\) (exact)
Taro's multivariable Ackermann function	A(3,2946) 	A(3,2947)
BEAF & Bird's array notation 	{10,888} (exact) 	{10,888} (exact)
Hyper-E notation 	E888 (exact) 	E888 (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)(349) 	m(1)(350)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[54] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[55]
Fast-growing hierarchy 	\(f_2(2938)\) 	\(f_2(2939)\)
Hardy hierarchy 	\(H_{\omega^2}(2938)\) 	\(H_{\omega^2}(2939)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 8+\omega 8+8}}(10)\) (exact)	\(g_{\omega^{\omega^2 8+\omega 8+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Tier 1 -illion numbers
Category:Powers of 10 with squarefree exponent