Octoducentillion

An octoducentillion is equal to \(10^{627}\) in the short scale and \(10^{1248}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 208th -illion number.
In the long scale, \(10^{627}\) is called quattuorcentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{627}\) (exact) 	\(1\times10^{627}\) (exact)
Arrow notation 	\(10\uparrow 627\) (exact) 	\(10\uparrow 627\) (exact)
Steinhaus-Moser Notation 	259[3] 	260[3]
Chained arrow notation 	\(10\rightarrow 627\) (exact) 	\(10\rightarrow 627\) (exact)
Taro's multivariable Ackermann function	A(3,2079) 	A(3,2080)
BEAF & Bird's array notation 	{10,627} (exact) 	{10,627} (exact)
Hyper-E notation 	E627 (exact) 	E627 (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)(259) 	m(1)(260)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[16] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[17]
Fast-growing hierarchy 	\(f_2(2071)\) 	\(f_2(2072)\)
Hardy hierarchy 	\(H_{\omega^2}(2071)\) 	\(H_{\omega^2}(2072)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 6+\omega 2+7}}(10)\) (exact)	\(g_{\omega^{\omega^2 6+\omega 2+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1248}\) (exact) 	\(1\times10^{1248}\) (exact)
Arrow notation 	\(10\uparrow 1248\) (exact) 	\(10\uparrow 1248\) (exact)
Steinhaus-Moser Notation 	467[3] 	468[3]
Chained arrow notation 	\(10\rightarrow 1248\) (exact) 	\(10\rightarrow 1248\) (exact)
Taro's multivariable Ackermann function	A(3,4142) 	A(3,4143)
BEAF & Bird's array notation 	{10,1248} (exact) 	{10,1248} (exact)
Hyper-E notation 	E1248 (exact) 	E1248 (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)(467) 	m(1)(468)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4133)\) 	\(f_2(4134)\)
Hardy hierarchy 	\(H_{\omega^2}(4133)\) 	\(H_{\omega^2}(4134)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 2+\omega 4+8}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 2+\omega 4+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers