Quattuorquinquagintaquingentillion

A quattuorquinquagintaquingentillion is equal to \(10^{1665}\) in the short scale and \(10^{3324}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 554th -illion number.
In the long scale, \(10^{1665}\) is called septenseptuagintaducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1665}\) (exact) 	\(1\times10^{1665}\) (exact)
Arrow notation 	\(10\uparrow 1665\) (exact) 	\(10\uparrow 1665\) (exact)
Steinhaus-Moser Notation 	599[3] 	600[3]
Chained arrow notation 	\(10\rightarrow 1665\) (exact) 	\(10\rightarrow 1665\) (exact)
Taro's multivariable Ackermann function	A(3,5528) 	A(3,5529)
BEAF & Bird's array notation 	{10,1665} (exact) 	{10,1665} (exact)
Hyper-E notation 	E1665 (exact) 	E1665 (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)(599) 	m(1)(600)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5518)\) 	\(f_2(5519)\)
Hardy hierarchy 	\(H_{\omega^2}(5518)\) 	\(H_{\omega^2}(5519)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 6+\omega 6+5}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 6+\omega 6+5}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3324}\) (exact) 	\(1\times10^{3324}\) (exact)
Arrow notation 	\(10\uparrow 3324\) (exact) 	\(10\uparrow 3324\) (exact)
Steinhaus-Moser Notation 	1093[3] 	1094[3]
Chained arrow notation 	\(10\rightarrow 3324\) (exact) 	\(10\rightarrow 3324\) (exact)
Taro's multivariable Ackermann function	A(3,11039) 	A(3,11040)
BEAF & Bird's array notation 	{10,3324} (exact) 	{10,3324} (exact)
Hyper-E notation 	E3324 (exact) 	E3324 (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)(1093) 	m(1)(1094)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(11028)\) 	\(f_2(11029)\)
Hardy hierarchy 	\(H_{\omega^2}(11028)\) 	\(H_{\omega^2}(11029)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 3+\omega 2+4}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 3+\omega 2+4}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers