Quattuorquadragintaquadringentillion

A quattuorquadragintaquadringentillion is equal to \(10^{1335}\) in the short scale and \(10^{2664}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 444th -illion number.
In the long scale, \(10^{1335}\) is called duovigintiducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1335}\) (exact) 	\(1\times10^{1335}\) (exact)
Arrow notation 	\(10\uparrow 1335\) (exact) 	\(10\uparrow 1335\) (exact)
Steinhaus-Moser Notation 	495[3] 	496[3]
Chained arrow notation 	\(10\rightarrow 1335\) (exact) 	\(10\rightarrow 1335\) (exact)
Taro's multivariable Ackermann function	A(3,4431) 	A(3,4432)
BEAF & Bird's array notation 	{10,1335} (exact) 	{10,1335} (exact)
Hyper-E notation 	E1335 (exact) 	E1335 (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)(495) 	m(1)(496)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4422)\) 	\(f_2(4423)\)
Hardy hierarchy 	\(H_{\omega^2}(4422)\) 	\(H_{\omega^2}(4423)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 3+\omega 3+5}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 3+\omega 3+5}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2664}\) (exact) 	\(1\times10^{2664}\) (exact)
Arrow notation 	\(10\uparrow 2664\) (exact) 	\(10\uparrow 2664\) (exact)
Steinhaus-Moser Notation 	901[3] 	902[3]
Chained arrow notation 	\(10\rightarrow 2664\) (exact) 	\(10\rightarrow 2664\) (exact)
Taro's multivariable Ackermann function	A(3,8846) 	A(3,8847)
BEAF & Bird's array notation 	{10,2664} (exact) 	{10,2664} (exact)
Hyper-E notation 	E2664 (exact) 	E2664 (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)(901) 	m(1)(902)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8836)\) 	\(f_2(8837)\)
Hardy hierarchy 	\(H_{\omega^2}(8836)\) 	\(H_{\omega^2}(8837)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 6+\omega 6+4}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 6+\omega 6+4}}(10)\) (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