Sexagintaquingentillion

A sexagintaquingentillion is equal to \(10^{1683}\) in the short scale and \(10^{3360}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 560th -illion number.
In the long scale, \(10^{1683}\) is called octogintaducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1683}\) (exact) 	\(1\times10^{1683}\) (exact)
Arrow notation 	\(10\uparrow 1683\) (exact) 	\(10\uparrow 1683\) (exact)
Steinhaus-Moser Notation 	605[3] 	606[3]
Chained arrow notation 	\(10\rightarrow 1683\) (exact) 	\(10\rightarrow 1683\) (exact)
Taro's multivariable Ackermann function	A(3,5587) 	A(3,5588)
BEAF & Bird's array notation 	{10,1683} (exact) 	{10,1683} (exact)
Hyper-E notation 	E1683 (exact) 	E1683 (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)(605) 	m(1)(606)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5578)\) 	\(f_2(5579)\)
Hardy hierarchy 	\(H_{\omega^2}(5578)\) 	\(H_{\omega^2}(5579)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 6+\omega 8+3}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 6+\omega 8+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3360}\) (exact) 	\(1\times10^{3360}\) (exact)
Arrow notation 	\(10\uparrow 3360\) (exact) 	\(10\uparrow 3360\) (exact)
Steinhaus-Moser Notation 	1104[3] 	1105[3]
Chained arrow notation 	\(10\rightarrow 3360\) (exact) 	\(10\rightarrow 3360\) (exact)
Taro's multivariable Ackermann function	A(3,11158) 	A(3,11159)
BEAF & Bird's array notation 	{10,3360} (exact) 	{10,3360} (exact)
Hyper-E notation 	E3360 (exact) 	E3360 (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)(1104) 	m(1)(1105)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(11148)\) 	\(f_2(11149)\)
Hardy hierarchy 	\(H_{\omega^2}(11148)\) 	\(H_{\omega^2}(11149)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 3+\omega 6}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 3+\omega 6}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers