Quintrigintaoctingentillion

A quintrigintaoctingentillion is equal to \(10^{2508}\) in the short scale and \(10^{5010}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 835th -illion number.
In the long scale, \(10^{2508}\) is called octodeciquadringentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2508}\) (exact) 	\(1\times10^{2508}\) (exact)
Arrow notation 	\(10\uparrow 2508\) (exact) 	\(10\uparrow 2508\) (exact)
Steinhaus-Moser Notation 	855[3] 	856[3]
Chained arrow notation 	\(10\rightarrow 2508\) (exact) 	\(10\rightarrow 2508\) (exact)
Taro's multivariable Ackermann function	A(3,8328) 	A(3,8329)
BEAF & Bird's array notation 	{10,2508} (exact) 	{10,2508} (exact)
Hyper-E notation 	E2508 (exact) 	E2508 (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)(855) 	m(1)(856)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8318)\) 	\(f_2(8319)\)
Hardy hierarchy 	\(H_{\omega^2}(8318)\) 	\(H_{\omega^2}(8319)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 5+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 5+8}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{5010}\) (exact) 	\(1\times10^{5010}\) (exact)
Arrow notation 	\(10\uparrow 5010\) (exact) 	\(10\uparrow 5010\) (exact)
Steinhaus-Moser Notation 	1567[3] 	1568[3]
Chained arrow notation 	\(10\rightarrow 5010\) (exact) 	\(10\rightarrow 5010\) (exact)
Taro's multivariable Ackermann function	A(3,16639) 	A(3,16640)
BEAF & Bird's array notation 	{10,5010} (exact) 	{10,5010} (exact)
Hyper-E notation 	E5010 (exact) 	E5010 (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)(1567) 	m(1)(1568)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(16628)\) 	\(f_2(16629)\)
Hardy hierarchy 	\(H_{\omega^2}(16628)\) 	\(H_{\omega^2}(16629)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 5+\omega}}(10)\) (exact)	\(g_{\omega^{\omega^3 5+\omega}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers