Octoquadragintaquadringentillion

An octoquadragintaquadringentillion is equal to \(10^{1347}\) in the short scale and \(10^{2688}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 448th -illion number.
In the long scale, \(10^{1347}\) is called quattuorvigintiducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1347}\) (exact) 	\(1\times10^{1347}\) (exact)
Arrow notation 	\(10\uparrow 1347\) (exact) 	\(10\uparrow 1347\) (exact)
Steinhaus-Moser Notation 	499[3] 	500[3]
Chained arrow notation 	\(10\rightarrow 1347\) (exact) 	\(10\rightarrow 1347\) (exact)
Taro's multivariable Ackermann function	A(3,4471) 	A(3,4472)
BEAF & Bird's array notation 	{10,1347} (exact) 	{10,1347} (exact)
Hyper-E notation 	E1347 (exact) 	E1347 (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)(499) 	m(1)(500)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4462)\) 	\(f_2(4463)\)
Hardy hierarchy 	\(H_{\omega^2}(4462)\) 	\(H_{\omega^2}(4463)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 3+\omega 4+7}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 3+\omega 4+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2688}\) (exact) 	\(1\times10^{2688}\) (exact)
Arrow notation 	\(10\uparrow 2688\) (exact) 	\(10\uparrow 2688\) (exact)
Steinhaus-Moser Notation 	908[3] 	909[3]
Chained arrow notation 	\(10\rightarrow 2688\) (exact) 	\(10\rightarrow 2688\) (exact)
Taro's multivariable Ackermann function	A(3,8926) 	A(3,8927)
BEAF & Bird's array notation 	{10,2688} (exact) 	{10,2688} (exact)
Hyper-E notation 	E2688 (exact) 	E2688 (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)(908) 	m(1)(909)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8916)\) 	\(f_2(8917)\)
Hardy hierarchy 	\(H_{\omega^2}(8916)\) 	\(H_{\omega^2}(8917)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 6+\omega 8+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 6+\omega 8+8}}(10)\) (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