Septingentillion

A septingentillion is equal to \(10^{2103}\) in the short scale and \(10^{4200}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 700th -illion number.
In the long scale, \(10^{2103}\) is called quinquagintatrecentilliard.
== Decimal expansion ==
In the short scale:
In the long scale:
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2103}\) (exact) 	\(1\times10^{2103}\) (exact)
Arrow notation 	\(10\uparrow 2103\) (exact) 	\(10\uparrow 2103\) (exact)
Steinhaus-Moser Notation 	733[3] 	734[3]
Chained arrow notation 	\(10\rightarrow 2103\) (exact) 	\(10\rightarrow 2103\) (exact)
Copy notation 	9[2103] 	10[1052]
Taro's multivariable Ackermann function	A(3,6983) 	A(3,6984)
BEAF & Bird's array notation 	{10,2103} (exact) 	{10,2103} (exact)
Hyper-E notation 	E2103 (exact) 	E2103 (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)(733) 	m(1)(734)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(6973)\) 	\(f_2(6974)\)
Hardy hierarchy 	\(H_{\omega^2}(6973)\) 	\(H_{\omega^2}(6974)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2+3}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4200}\) (exact) 	\(1\times10^{4200}\) (exact)
Arrow notation 	\(10\uparrow 4200\) (exact) 	\(10\uparrow 4200\) (exact)
Steinhaus-Moser Notation 	1342[3] 	1343[3]
Chained arrow notation 	\(10\rightarrow 4200\) (exact) 	\(10\rightarrow 4200\) (exact)
Copy notation 	9[4200] 	1[4201]
Taro's multivariable Ackermann function	A(3,13949) 	A(3,13950)
BEAF & Bird's array notation 	{10,4200} (exact) 	{10,4200} (exact)
Hyper-E notation 	E4200 (exact) 	E4200 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(10)\) 	\(s(1)^3(\lambda x.x+1)(11)\)
m(n) map 	m(1)(1342) 	m(1)(1343)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(13938)\) 	\(f_2(13939)\)
Hardy hierarchy 	\(H_{\omega^2}(13938)\) 	\(H_{\omega^2}(13939)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 2}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 2}}(10)\) (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