Septemvigintiquingentillion

A septemvigintiquingentillion is equal to \(10^{1584}\) in the short scale and \(10^{3162}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 527th -illion number.
In the long scale, \(10^{1584}\) is called quattuorsexagintaducentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1584}\) (exact) 	\(1\times10^{1584}\) (exact)
Arrow notation 	\(10\uparrow 1584\) (exact) 	\(10\uparrow 1584\) (exact)
Steinhaus-Moser Notation 	574[3] 	575[3]
Chained arrow notation 	\(10\rightarrow 1584\) (exact) 	\(10\rightarrow 1584\) (exact)
Taro's multivariable Ackermann function	A(3,5258) 	A(3,5259)
BEAF & Bird's array notation 	{10,1584} (exact) 	{10,1584} (exact)
Hyper-E notation 	E1584 (exact) 	E1584 (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)(574) 	m(1)(575)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5249)\) 	\(f_2(5250)\)
Hardy hierarchy 	\(H_{\omega^2}(5249)\) 	\(H_{\omega^2}(5250)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 5+\omega 8+4}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 5+\omega 8+4}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3162}\) (exact) 	\(1\times10^{3162}\) (exact)
Arrow notation 	\(10\uparrow 3162\) (exact) 	\(10\uparrow 3162\) (exact)
Steinhaus-Moser Notation 	1047[3] 	1048[3]
Chained arrow notation 	\(10\rightarrow 3162\) (exact) 	\(10\rightarrow 3162\) (exact)
Taro's multivariable Ackermann function	A(3,10500) 	A(3,10501)
BEAF & Bird's array notation 	{10,3162} (exact) 	{10,3162} (exact)
Hyper-E notation 	E3162 (exact) 	E3162 (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)(1047) 	m(1)(1048)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(10490)\) 	\(f_2(10491)\)
Hardy hierarchy 	\(H_{\omega^2}(10490)\) 	\(H_{\omega^2}(10491)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2+\omega 6+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2+\omega 6+2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers