Septemoctogintaquingentillion

A septemoctogintaquingentillion is equal to \(10^{1764}\) in the short scale and \(10^{3522}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 587th -illion number.
In the long scale, \(10^{1764}\) is called quattuornonagintaducentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1764}\) (exact) 	\(1\times10^{1764}\) (exact)
Arrow notation 	\(10\uparrow 1764\) (exact) 	\(10\uparrow 1764\) (exact)
Steinhaus-Moser Notation 	630[3] 	631[3]
Chained arrow notation 	\(10\rightarrow 1764\) (exact) 	\(10\rightarrow 1764\) (exact)
Taro's multivariable Ackermann function	A(3,5856) 	A(3,5857)
BEAF & Bird's array notation 	{10,1764} (exact) 	{10,1764} (exact)
Hyper-E notation 	E1764 (exact) 	E1764 (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)(630) 	m(1)(631)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5847)\) 	\(f_2(5848)\)
Hardy hierarchy 	\(H_{\omega^2}(5847)\) 	\(H_{\omega^2}(5848)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 7+\omega 6+4}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 7+\omega 6+4}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3522}\) (exact) 	\(1\times10^{3522}\) (exact)
Arrow notation 	\(10\uparrow 3522\) (exact) 	\(10\uparrow 3522\) (exact)
Steinhaus-Moser Notation 	1150[3] 	1151[3]
Chained arrow notation 	\(10\rightarrow 3522\) (exact) 	\(10\rightarrow 3522\) (exact)
Taro's multivariable Ackermann function	A(3,11696) 	A(3,11697)
BEAF & Bird's array notation 	{10,3522} (exact) 	{10,3522} (exact)
Hyper-E notation 	E3522 (exact) 	E3522 (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)(1150) 	m(1)(1151)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(11686)\) 	\(f_2(11687)\)
Hardy hierarchy 	\(H_{\omega^2}(11686)\) 	\(H_{\omega^2}(11687)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 5+\omega 2+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 5+\omega 2+2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers