Quinoctingentillion

A quinoctingentillion is equal to \(10^{2418}\) in the short scale and \(10^{4830}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 805th -illion number.
In the long scale, \(10^{2418}\) is called tresquadringentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2418}\) (exact) 	\(1\times10^{2418}\) (exact)
Arrow notation 	\(10\uparrow 2418\) (exact) 	\(10\uparrow 2418\) (exact)
Steinhaus-Moser Notation 	828[3] 	829[3]
Chained arrow notation 	\(10\rightarrow 2418\) (exact) 	\(10\rightarrow 2418\) (exact)
Taro's multivariable Ackermann function	A(3,8029) 	A(3,8030)
BEAF & Bird's array notation 	{10,2418} (exact) 	{10,2418} (exact)
Hyper-E notation 	E2418 (exact) 	E2418 (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)(828) 	m(1)(829)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8019)\) 	\(f_2(8020)\)
Hardy hierarchy 	\(H_{\omega^2}(8019)\) 	\(H_{\omega^2}(8020)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega+8}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4830}\) (exact) 	\(1\times10^{4830}\) (exact)
Arrow notation 	\(10\uparrow 4830\) (exact) 	\(10\uparrow 4830\) (exact)
Steinhaus-Moser Notation 	1518[3] 	1519[3]
Chained arrow notation 	\(10\rightarrow 4830\) (exact) 	\(10\rightarrow 4830\) (exact)
Taro's multivariable Ackermann function	A(3,16041) 	A(3,16042)
BEAF & Bird's array notation 	{10,4830} (exact) 	{10,4830} (exact)
Hyper-E notation 	E4830 (exact) 	E4830 (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)(1518) 	m(1)(1519)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(16030)\) 	\(f_2(16031)\)
Hardy hierarchy 	\(H_{\omega^2}(16030)\) 	\(H_{\omega^2}(16031)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 8+\omega 3}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 8+\omega 3}}(10)\) (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