Septuagintacentillion

A septuagintacentillion is equal to \(10^{513}\) in the short scale and \(10^{1020}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 170th -illion number. It is septuaginticentillion in Cookie fonster's extension of the Jonathan Bowers system.1.8. Extensions to the -illions II: Jonathan Bowers' -illions
In the long scale, \(10^{513}\) is called quinoctogintilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{513}\) (exact) 	\(1\times10^{513}\) (exact)
Arrow notation 	\(10\uparrow 513\) (exact) 	\(10\uparrow 513\) (exact)
Steinhaus-Moser Notation 	219[3] 	220[3]
Chained arrow notation 	\(10\rightarrow 513\) (exact) 	\(10\rightarrow 513\) (exact)
Taro's multivariable Ackermann function	A(3,1701) 	A(3,1702)
BEAF & Bird's array notation 	{10,513} (exact) 	{10,513} (exact)
Hyper-E notation 	E513 (exact) 	E513 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(7)\) 	\(s(1)^3(\lambda x.x+1)(8)\)
m(n) map 	m(1)(219) 	m(1)(220)
Copy notation 	9[423] 	10[212]
H* function 	H(170) 	H(170)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[10] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[11]
Fast-growing hierarchy 	\(f_2(1693)\) 	\(f_2(1694)\)
Hardy hierarchy 	\(H_{\omega^2}(1693)\) 	\(H_{\omega^2}(1694)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 5+\omega+3}}(10)\) (exact)	\(g_{\omega^{\omega^2 5+\omega+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1020}\) (exact) 	\(1\times10^{1020}\) (exact)
Arrow notation 	\(10\uparrow 1020\) (exact) 	\(10\uparrow 1020\) (exact)
Steinhaus-Moser Notation 	393[3] 	394[3]
Chained arrow notation 	\(10\rightarrow 1020\) (exact) 	\(10\rightarrow 1020\) (exact)
Taro's multivariable Ackermann function	A(3,3385) 	A(3,3386)
BEAF & Bird's array notation 	{10,1020} (exact) 	{10,1020} (exact)
Hyper-E notation 	E1020 (exact) 	E1020 (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)(393) 	m(1)(394)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(3376)\) 	\(f_2(3377)\)
Hardy hierarchy 	\(H_{\omega^2}(3376)\) 	\(H_{\omega^2}(3377)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega 2}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega 2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Tier 1 -illion numbers