Quattuorquadragintaquingentillion

A quattuorquadragintaquingentillion is equal to \(10^{1635}\) in the short scale and \(10^{3264}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 544th -illion number.
In the long scale, \(10^{1635}\) is called duoseptuagintaducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1635}\) (exact) 	\(1\times10^{1635}\) (exact)
Arrow notation 	\(10\uparrow 1635\) (exact) 	\(10\uparrow 1635\) (exact)
Steinhaus-Moser Notation 	590[3] 	591[3]
Chained arrow notation 	\(10\rightarrow 1635\) (exact) 	\(10\rightarrow 1635\) (exact)
Taro's multivariable Ackermann function	A(3,5428) 	A(3,5429)
BEAF & Bird's array notation 	{10,1635} (exact) 	{10,1635} (exact)
Hyper-E notation 	E1635 (exact) 	E1635 (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)(590) 	m(1)(591)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5418)\) 	\(f_2(5419)\)
Hardy hierarchy 	\(H_{\omega^2}(5418)\) 	\(H_{\omega^2}(5419)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 6+\omega 3+5}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 6+\omega 3+5}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3264}\) (exact) 	\(1\times10^{3264}\) (exact)
Arrow notation 	\(10\uparrow 3264\) (exact) 	\(10\uparrow 3264\) (exact)
Steinhaus-Moser Notation 	1076[3] 	1077[3]
Chained arrow notation 	\(10\rightarrow 3264\) (exact) 	\(10\rightarrow 3264\) (exact)
Taro's multivariable Ackermann function	A(3,10839) 	A(3,10840)
BEAF & Bird's array notation 	{10,3264} (exact) 	{10,3264} (exact)
Hyper-E notation 	E3264 (exact) 	E3264 (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)(1076) 	m(1)(1077)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(10829)\) 	\(f_2(10830)\)
Hardy hierarchy 	\(H_{\omega^2}(10829)\) 	\(H_{\omega^2}(10830)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 2+\omega 6+4}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 2+\omega 6+4}}(10)\) (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