Septuagintaquingentillion

A septuagintaquingentillion is equal to \(10^{1713}\) in the short scale and \(10^{3420}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 570th -illion number.
In the long scale, \(10^{1713}\) is called quinoctogintaducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1713}\) (exact) 	\(1\times10^{1713}\) (exact)
Arrow notation 	\(10\uparrow 1713\) (exact) 	\(10\uparrow 1713\) (exact)
Steinhaus-Moser Notation 	614[3] 	615[3]
Chained arrow notation 	\(10\rightarrow 1713\) (exact) 	\(10\rightarrow 1713\) (exact)
Taro's multivariable Ackermann function	A(3,5687) 	A(3,5688)
BEAF & Bird's array notation 	{10,1713} (exact) 	{10,1713} (exact)
Hyper-E notation 	E1713 (exact) 	E1713 (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)(614) 	m(1)(615)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5677)\) 	\(f_2(5678)\)
Hardy hierarchy 	\(H_{\omega^2}(5677)\) 	\(H_{\omega^2}(5678)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 7+\omega+3}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 7+\omega+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3420}\) (exact) 	\(1\times10^{3420}\) (exact)
Arrow notation 	\(10\uparrow 3420\) (exact) 	\(10\uparrow 3420\) (exact)
Steinhaus-Moser Notation 	1121[3] 	1122[3]
Chained arrow notation 	\(10\rightarrow 3420\) (exact) 	\(10\rightarrow 3420\) (exact)
Taro's multivariable Ackermann function	A(3,11357) 	A(3,11358)
BEAF & Bird's array notation 	{10,3420} (exact) 	{10,3420} (exact)
Hyper-E notation 	E3420 (exact) 	E3420 (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)(1121) 	m(1)(1122)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(11347)\) 	\(f_2(11348)\)
Hardy hierarchy 	\(H_{\omega^2}(11347)\) 	\(H_{\omega^2}(11348)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 4+\omega 2}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 4+\omega 2}}(10)\) (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