Quinoctogintaoctingentillion

A quinoctogintaoctingentillion is equal to \(10^{2658}\) in the short scale and \(10^{5310}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 885th -illion number.
In the long scale, \(10^{2658}\) is called tresquadragintaquadringentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2658}\) (exact) 	\(1\times10^{2658}\) (exact)
Arrow notation 	\(10\uparrow 2658\) (exact) 	\(10\uparrow 2658\) (exact)
Steinhaus-Moser Notation 	899[3] 	900[3]
Chained arrow notation 	\(10\rightarrow 2658\) (exact) 	\(10\rightarrow 2658\) (exact)
Taro's multivariable Ackermann function	A(3,8826) 	A(3,8827)
BEAF & Bird's array notation 	{10,2658} (exact) 	{10,2658} (exact)
Hyper-E notation 	E2658 (exact) 	E2658 (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)(899) 	m(1)(900)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8816)\) 	\(f_2(8817)\)
Hardy hierarchy 	\(H_{\omega^2}(8816)\) 	\(H_{\omega^2}(8817)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 6+\omega 5+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 6+\omega 5+8}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{5310}\) (exact) 	\(1\times10^{5310}\) (exact)
Arrow notation 	\(10\uparrow 5310\) (exact) 	\(10\uparrow 5310\) (exact)
Steinhaus-Moser Notation 	1650[3] 	1651[3]
Chained arrow notation 	\(10\rightarrow 5310\) (exact) 	\(10\rightarrow 5310\) (exact)
Taro's multivariable Ackermann function	A(3,17636) 	A(3,17637)
BEAF & Bird's array notation 	{10,5310} (exact) 	{10,5310} (exact)
Hyper-E notation 	E5310 (exact) 	E5310 (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)(1650) 	m(1)(1651)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(17625)\) 	\(f_2(17626)\)
Hardy hierarchy 	\(H_{\omega^2}(17625)\) 	\(H_{\omega^2}(17626)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 5+\omega^2 3+\omega}}(10)\) (exact)	\(g_{\omega^{\omega^3 5+\omega^2 3+\omega}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers