Octoquadringentillion

An octoquadringentillion is equal to \(10^{1227}\) in the short scale and \(10^{2448}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 408th -illion number.
In the long scale, \(10^{1227}\) is called quattuorducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1227}\) (exact) 	\(1\times10^{1227}\) (exact)
Arrow notation 	\(10\uparrow 1227\) (exact) 	\(10\uparrow 1227\) (exact)
Steinhaus-Moser Notation 	460[3] 	461[3]
Chained arrow notation 	\(10\rightarrow 1227\) (exact) 	\(10\rightarrow 1227\) (exact)
Taro's multivariable Ackermann function	A(3,4073) 	A(3,4074)
BEAF & Bird's array notation 	{10,1227} (exact) 	{10,1227} (exact)
Hyper-E notation 	E1227 (exact) 	E1227 (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)(460) 	m(1)(461)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4064)\) 	\(f_2(4065)\)
Hardy hierarchy 	\(H_{\omega^2}(4064)\) 	\(H_{\omega^2}(4065)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 2+\omega 2+7}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 2+\omega 2+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2448}\) (exact) 	\(1\times10^{2448}\) (exact)
Arrow notation 	\(10\uparrow 2448\) (exact) 	\(10\uparrow 2448\) (exact)
Steinhaus-Moser Notation 	837[3] 	838[3]
Chained arrow notation 	\(10\rightarrow 2448\) (exact) 	\(10\rightarrow 2448\) (exact)
Taro's multivariable Ackermann function	A(3,8129) 	A(3,8130)
BEAF & Bird's array notation 	{10,2448} (exact) 	{10,2448} (exact)
Hyper-E notation 	E2448 (exact) 	E2448 (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)(837) 	m(1)(838)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8119)\) 	\(f_2(8120)\)
Hardy hierarchy 	\(H_{\omega^2}(8119)\) 	\(H_{\omega^2}(8120)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega 4+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega 4+8}}(10)\) (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