Septuagintaquadringentillion

A septuagintaquadringentillion is equal to \(10^{1413}\) in the short scale and \(10^{2820}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 470th -illion number.
In the long scale, \(10^{1413}\) is called quintrigintaducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1413}\) (exact) 	\(1\times10^{1413}\) (exact)
Arrow notation 	\(10\uparrow 1413\) (exact) 	\(10\uparrow 1413\) (exact)
Steinhaus-Moser Notation 	520[3] 	521[3]
Chained arrow notation 	\(10\rightarrow 1413\) (exact) 	\(10\rightarrow 1413\) (exact)
Taro's multivariable Ackermann function	A(3,4690) 	A(3,4691)
BEAF & Bird's array notation 	{10,1413} (exact) 	{10,1413} (exact)
Hyper-E notation 	E1413 (exact) 	E1413 (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)(520) 	m(1)(521)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4681)\) 	\(f_2(4682)\)
Hardy hierarchy 	\(H_{\omega^2}(4681)\) 	\(H_{\omega^2}(4682)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 4+\omega+3}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 4+\omega+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2820}\) (exact) 	\(1\times10^{2820}\) (exact)
Arrow notation 	\(10\uparrow 2820\) (exact) 	\(10\uparrow 2820\) (exact)
Steinhaus-Moser Notation 	947[3] 	948[3]
Chained arrow notation 	\(10\rightarrow 2820\) (exact) 	\(10\rightarrow 2820\) (exact)
Taro's multivariable Ackermann function	A(3,9364) 	A(3,9365)
BEAF & Bird's array notation 	{10,2820} (exact) 	{10,2820} (exact)
Hyper-E notation 	E2820 (exact) 	E2820 (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)(947) 	m(1)(948)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(9354)\) 	\(f_2(9355)\)
Hardy hierarchy 	\(H_{\omega^2}(9354)\) 	\(H_{\omega^2}(9355)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 8+\omega 2}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 8+\omega 2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers