Octoquadragintaducentillion

An octoquadragintaducentillion is equal to \(10^{747}\) in the short scale and \(10^{1488}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 248th -illion number.
In the long scale, \(10^{747}\) is called quattuorviginticentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{747}\) (exact) 	\(1\times10^{747}\) (exact)
Arrow notation 	\(10\uparrow 747\) (exact) 	\(10\uparrow 747\) (exact)
Steinhaus-Moser Notation 	301[3] 	302[3]
Chained arrow notation 	\(10\rightarrow 747\) (exact) 	\(10\rightarrow 747\) (exact)
Taro's multivariable Ackermann function	A(3,2478) 	A(3,2479)
BEAF & Bird's array notation 	{10,747} (exact) 	{10,747} (exact)
Hyper-E notation 	E747 (exact) 	E747 (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)(301) 	m(1)(302)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[28] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[29]
Fast-growing hierarchy 	\(f_2(2470)\) 	\(f_2(2471)\)
Hardy hierarchy 	\(H_{\omega^2}(2470)\) 	\(H_{\omega^2}(2471)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 7+\omega 4+7}}(10)\) (exact)	\(g_{\omega^{\omega^2 7+\omega 4+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1488}\) (exact) 	\(1\times10^{1488}\) (exact)
Arrow notation 	\(10\uparrow 1488\) (exact) 	\(10\uparrow 1488\) (exact)
Steinhaus-Moser Notation 	543[3] 	544[3]
Chained arrow notation 	\(10\rightarrow 1488\) (exact) 	\(10\rightarrow 1488\) (exact)
Taro's multivariable Ackermann function	A(3,4940) 	A(3,4941)
BEAF & Bird's array notation 	{10,1488} (exact) 	{10,1488} (exact)
Hyper-E notation 	E1488 (exact) 	E1488 (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)(543) 	m(1)(544)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4930)\) 	\(f_2(4931)\)
Hardy hierarchy 	\(H_{\omega^2}(4930)\) 	\(H_{\omega^2}(4931)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 4+\omega 8+8}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 4+\omega 8+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Tier 1 -illion numbers