Quattuorsescentillion

A quattuorsescentillion is equal to \(10^{1815}\) in the short scale and \(10^{3624}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 604th -illion number.
In the long scale, \(10^{1815}\) is called duotrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1815}\) (exact) 	\(1\times10^{1815}\) (exact)
Arrow notation 	\(10\uparrow 1815\) (exact) 	\(10\uparrow 1815\) (exact)
Steinhaus-Moser Notation 	645[3] 	646[3]
Chained arrow notation 	\(10\rightarrow 1815\) (exact) 	\(10\rightarrow 1815\) (exact)
Taro's multivariable Ackermann function	A(3,6026) 	A(3,6027)
BEAF & Bird's array notation 	{10,1815} (exact) 	{10,1815} (exact)
Hyper-E notation 	E1815 (exact) 	E1815 (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)(645) 	m(1)(646)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(6016)\) 	\(f_2(6017)\)
Hardy hierarchy 	\(H_{\omega^2}(6016)\) 	\(H_{\omega^2}(6017)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 8+\omega+5}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 8+\omega+5}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3624}\) (exact) 	\(1\times10^{3624}\) (exact)
Arrow notation 	\(10\uparrow 3624\) (exact) 	\(10\uparrow 3624\) (exact)
Steinhaus-Moser Notation 	1179[3] 	1180[3]
Chained arrow notation 	\(10\rightarrow 3624\) (exact) 	\(10\rightarrow 3624\) (exact)
Taro's multivariable Ackermann function	A(3,12035) 	A(3,12036)
BEAF & Bird's array notation 	{10,3624} (exact) 	{10,3624} (exact)
Hyper-E notation 	E3624 (exact) 	E3624 (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)(1179) 	m(1)(1180)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(12025)\) 	\(f_2(12026)\)
Hardy hierarchy 	\(H_{\omega^2}(12025)\) 	\(H_{\omega^2}(12026)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 6+\omega 2+4}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 6+\omega 2+4}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers