Septuagintaducentillion

A septuagintaducentillion is equal to \(10^{813}\) in the short scale and \(10^{1620}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 270th -illion number.
In the long scale, \(10^{813}\) is called quintrigintacentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{813}\) (exact) 	\(1\times10^{813}\) (exact)
Arrow notation 	\(10\uparrow 813\) (exact) 	\(10\uparrow 813\) (exact)
Steinhaus-Moser Notation 	323[3] 	324[3]
Chained arrow notation 	\(10\rightarrow 813\) (exact) 	\(10\rightarrow 813\) (exact)
Taro's multivariable Ackermann function	A(3,2697) 	A(3,2698)
BEAF & Bird's array notation 	{10,813} (exact) 	{10,813} (exact)
Hyper-E notation 	E813 (exact) 	E813 (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)(323) 	m(1)(324)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[38] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[39]
Hyperfactorial array notation 	379! 	378!
Copy notation 	9[812] 	1[813]
Fast-growing hierarchy 	\(f_2(2689)\) 	\(f_2(2690)\)
Hardy hierarchy 	\(H_{\omega^2}(2689)\) 	\(H_{\omega^2}(2690)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 8+\omega+3}}(10)\) (exact)	\(g_{\omega^{\omega^2 8+\omega+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1620}\) (exact) 	\(1\times10^{1620}\) (exact)
Arrow notation 	\(10\uparrow 1620\) (exact) 	\(10\uparrow 1620\) (exact)
Steinhaus-Moser Notation 	585[3] 	586[3]
Chained arrow notation 	\(10\rightarrow 1620\) (exact) 	\(10\rightarrow 1620\) (exact)
Taro's multivariable Ackermann function	A(3,5378) 	A(3,5379)
BEAF & Bird's array notation 	{10,1620} (exact) 	{10,1620} (exact)
Hyper-E notation 	E1620 (exact) 	E1620 (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)(585) 	m(1)(586)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Hyperfactorial array notation 	675! 	676!
Copy notation 	9[1619] 	1[1620]
Fast-growing hierarchy 	\(f_2(5369)\) 	\(f_2(5370)\)
Hardy hierarchy 	\(H_{\omega^2}(5369)\) 	\(H_{\omega^2}(5370)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 6+\omega 2}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 6+\omega 2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Tier 1 -illion numbers
Category:Powers of 10 with squarefree exponent