Quattuorquinquagintaquadringentillion

A quattuorquinquagintaquadringentillion is equal to \(10^{1365}\) in the short scale and \(10^{2724}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 454th -illion number.
In the long scale, \(10^{1365}\) is called septemvigintiducentilliard.
(Pointless fact, it has the longest name of an illion number by Conway's naming system between 1 and \(10^{3003}\), or 1 millinillion.)
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1365}\) (exact) 	\(1\times10^{1365}\) (exact)
Arrow notation 	\(10\uparrow 1365\) (exact) 	\(10\uparrow 1365\) (exact)
Steinhaus-Moser Notation 	504[3] 	505[3]
Chained arrow notation 	\(10\rightarrow 1365\) (exact) 	\(10\rightarrow 1365\) (exact)
Taro's multivariable Ackermann function	A(3,4531) 	A(3,4532)
BEAF & Bird's array notation 	{10,1365} (exact) 	{10,1365} (exact)
Hyper-E notation 	E1365 (exact) 	E1365 (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)(504) 	m(1)(505)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4522)\) 	\(f_2(4523)\)
Hardy hierarchy 	\(H_{\omega^2}(4522)\) 	\(H_{\omega^2}(4523)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 3+\omega 6+5}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 3+\omega 6+5}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2724}\) (exact) 	\(1\times10^{2724}\) (exact)
Arrow notation 	\(10\uparrow 2724\) (exact) 	\(10\uparrow 2724\) (exact)
Steinhaus-Moser Notation 	919[3] 	920[3]
Chained arrow notation 	\(10\rightarrow 2724\) (exact) 	\(10\rightarrow 2724\) (exact)
Taro's multivariable Ackermann function	A(3,9045) 	A(3,9046)
BEAF & Bird's array notation 	{10,2724} (exact) 	{10,2724} (exact)
Hyper-E notation 	E2724 (exact) 	E2724 (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)(919) 	m(1)(920)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(9035)\) 	\(f_2(9036)\)
Hardy hierarchy 	\(H_{\omega^2}(9035)\) 	\(H_{\omega^2}(9036)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 7+\omega 2+4}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 7+\omega 2+4}}(10)\) (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