Quinoctogintacentillion

A quinoctogintacentillion is equal to \(10^{558}\) in the short scale and \(10^{1110}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 185th -illion number.
In the long scale, \(10^{558}\) is called trenonagintillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{558}\) (exact) 	\(1\times10^{558}\) (exact)
Arrow notation 	\(10\uparrow 558\) (exact) 	\(10\uparrow 558\) (exact)
Steinhaus-Moser Notation 	235[3] 	236[3]
Chained arrow notation 	\(10\rightarrow 558\) (exact) 	\(10\rightarrow 558\) (exact)
Taro's multivariable Ackermann function	A(3,1850) 	A(3,1851)
BEAF & Bird's array notation 	{10,558} (exact) 	{10,558} (exact)
Hyper-E notation 	E558 (exact) 	E558 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(7)\) 	\(s(1)^3(\lambda x.x+1)(8)\)
m(n) map 	m(1)(235) 	m(1)(236)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[12] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[13]
Fast-growing hierarchy 	\(f_2(1842)\) 	\(f_2(1843)\)
Hardy hierarchy 	\(H_{\omega^2}(1842)\) 	\(H_{\omega^2}(1843)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 5+\omega 5+8}}(10)\) (exact)	\(g_{\omega^{\omega^2 5+\omega 5+8}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1110}\) (exact) 	\(1\times10^{1110}\) (exact)
Arrow notation 	\(10\uparrow 1110\) (exact) 	\(10\uparrow 1110\) (exact)
Steinhaus-Moser Notation 	422[3] 	423[3]
Chained arrow notation 	\(10\rightarrow 1110\) (exact) 	\(10\rightarrow 1110\) (exact)
Taro's multivariable Ackermann function	A(3,3684) 	A(3,3685)
BEAF & Bird's array notation 	{10,1110} (exact) 	{10,1110} (exact)
Hyper-E notation 	E1110 (exact) 	E1110 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(8)\) 	\(s(1)^3(\lambda x.x+1)(9)\)
m(n) map 	m(1)(422) 	m(1)(423)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(3675)\) 	\(f_2(3676)\)
Hardy hierarchy 	\(H_{\omega^2}(3675)\) 	\(H_{\omega^2}(3676)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2+\omega}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2+\omega}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Tier 1 -illion numbers