Quinoctogintaseptingentillion

A quinoctogintaseptingentillion is equal to \(10^{2358}\) in the short scale and \(10^{4710}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 785th -illion number.
In the long scale, \(10^{2358}\) is called trenonagintatrecentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2358}\) (exact) 	\(1\times10^{2358}\) (exact)
Arrow notation 	\(10\uparrow 2358\) (exact) 	\(10\uparrow 2358\) (exact)
Steinhaus-Moser Notation 	810[3] 	811[3]
Chained arrow notation 	\(10\rightarrow 2358\) (exact) 	\(10\rightarrow 2358\) (exact)
Taro's multivariable Ackermann function	A(3,7830) 	A(3,7831)
BEAF & Bird's array notation 	{10,2358} (exact) 	{10,2358} (exact)
Hyper-E notation 	E2358 (exact) 	E2358 (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)(810) 	m(1)(811)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7820)\) 	\(f_2(7821)\)
Hardy hierarchy 	\(H_{\omega^2}(7820)\) 	\(H_{\omega^2}(7821)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 3+\omega 5+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 3+\omega 5+8}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4710}\) (exact) 	\(1\times10^{4710}\) (exact)
Arrow notation 	\(10\uparrow 4710\) (exact) 	\(10\uparrow 4710\) (exact)
Steinhaus-Moser Notation 	1484[3] 	1485[3]
Chained arrow notation 	\(10\rightarrow 4710\) (exact) 	\(10\rightarrow 4710\) (exact)
Taro's multivariable Ackermann function	A(3,15643) 	A(3,15644)
BEAF & Bird's array notation 	{10,4710} (exact) 	{10,4710} (exact)
Hyper-E notation 	E4710 (exact) 	E4710 (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)(1484) 	m(1)(1485)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(15632)\) 	\(f_2(15633)\)
Hardy hierarchy 	\(H_{\omega^2}(15632)\) 	\(H_{\omega^2}(15633)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 7+\omega}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 7+\omega}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers