Quinoctogintasescentillion

A quinoctogintasescentillion is equal to \(10^{2058}\) in the short scale and \(10^{4110}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 685th -illion number.
In the long scale, \(10^{2058}\) is called tresquadragintatrecentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2058}\) (exact) 	\(1\times10^{2058}\) (exact)
Arrow notation 	\(10\uparrow 2058\) (exact) 	\(10\uparrow 2058\) (exact)
Steinhaus-Moser Notation 	720[3] 	721[3]
Chained arrow notation 	\(10\rightarrow 2058\) (exact) 	\(10\rightarrow 2058\) (exact)
Taro's multivariable Ackermann function	A(3,6833) 	A(3,6834)
BEAF & Bird's array notation 	{10,2058} (exact) 	{10,2058} (exact)
Hyper-E notation 	E2058 (exact) 	E2058 (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)(720) 	m(1)(721)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(6823)\) 	\(f_2(6824)\)
Hardy hierarchy 	\(H_{\omega^2}(6823)\) 	\(H_{\omega^2}(6824)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega 5+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega 5+8}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4110}\) (exact) 	\(1\times10^{4110}\) (exact)
Arrow notation 	\(10\uparrow 4110\) (exact) 	\(10\uparrow 4110\) (exact)
Steinhaus-Moser Notation 	1317[3] 	1318[3]
Chained arrow notation 	\(10\rightarrow 4110\) (exact) 	\(10\rightarrow 4110\) (exact)
Taro's multivariable Ackermann function	A(3,13650) 	A(3,13651)
BEAF & Bird's array notation 	{10,4110} (exact) 	{10,4110} (exact)
Hyper-E notation 	E4110 (exact) 	E4110 (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)(1317) 	m(1)(1318)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(13639)\) 	\(f_2(13640)\)
Hardy hierarchy 	\(H_{\omega^2}(13639)\) 	\(H_{\omega^2}(13640)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2+\omega}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2+\omega}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers