Octoquadragintaseptingentillion

An octoquadragintaseptingentillion is equal to \(10^{2247}\) in the short scale and \(10^{4488}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 748th -illion number.
In the long scale, \(10^{2247}\) is called quattuorseptuagintatrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2247}\) (exact) 	\(1\times10^{2247}\) (exact)
Arrow notation 	\(10\uparrow 2247\) (exact) 	\(10\uparrow 2247\) (exact)
Steinhaus-Moser Notation 	777[3] 	778[3]
Chained arrow notation 	\(10\rightarrow 2247\) (exact) 	\(10\rightarrow 2247\) (exact)
Taro's multivariable Ackermann function	A(3,7461) 	A(3,7462)
BEAF & Bird's array notation 	{10,2247} (exact) 	{10,2247} (exact)
Hyper-E notation 	E2247 (exact) 	E2247 (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)(777) 	m(1)(778)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7451)\) 	\(f_2(7452)\)
Hardy hierarchy 	\(H_{\omega^2}(7451)\) 	\(H_{\omega^2}(7452)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 2+\omega 4+7}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 2+\omega 4+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4488}\) (exact) 	\(1\times10^{4488}\) (exact)
Arrow notation 	\(10\uparrow 4488\) (exact) 	\(10\uparrow 4488\) (exact)
Steinhaus-Moser Notation 	1423[3] 	1424[3]
Chained arrow notation 	\(10\rightarrow 4488\) (exact) 	\(10\rightarrow 4488\) (exact)
Taro's multivariable Ackermann function	A(3,14905) 	A(3,14906)
BEAF & Bird's array notation 	{10,4488} (exact) 	{10,4488} (exact)
Hyper-E notation 	E4488 (exact) 	E4488 (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)(1423) 	m(1)(1424)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(14894)\) 	\(f_2(14895)\)
Hardy hierarchy 	\(H_{\omega^2}(14894)\) 	\(H_{\omega^2}(14895)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 4+\omega 8+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 4+\omega 8+8}}(10)\) (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