Quattuortrigintaquingentillion

A quattuortrigintaquingentillion is equal to \(10^{1605}\) in the short scale and \(10^{3204}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 534th -illion number.
In the long scale, \(10^{1605}\) is called septensexagintaducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1605}\) (exact) 	\(1\times10^{1605}\) (exact)
Arrow notation 	\(10\uparrow 1605\) (exact) 	\(10\uparrow 1605\) (exact)
Steinhaus-Moser Notation 	580[3] 	581[3]
Chained arrow notation 	\(10\rightarrow 1605\) (exact) 	\(10\rightarrow 1605\) (exact)
Taro's multivariable Ackermann function	A(3,5328) 	A(3,5329)
BEAF & Bird's array notation 	{10,1605} (exact) 	{10,1605} (exact)
Hyper-E notation 	E1605 (exact) 	E1605 (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)(580) 	m(1)(581)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5319)\) 	\(f_2(5320)\)
Hardy hierarchy 	\(H_{\omega^2}(5319)\) 	\(H_{\omega^2}(5320)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 6+5}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 6+5}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3204}\) (exact) 	\(1\times10^{3204}\) (exact)
Arrow notation 	\(10\uparrow 3204\) (exact) 	\(10\uparrow 3204\) (exact)
Steinhaus-Moser Notation 	1059[3] 	1060[3]
Chained arrow notation 	\(10\rightarrow 3204\) (exact) 	\(10\rightarrow 3204\) (exact)
Taro's multivariable Ackermann function	A(3,10640) 	A(3,10641)
BEAF & Bird's array notation 	{10,3204} (exact) 	{10,3204} (exact)
Hyper-E notation 	E3204 (exact) 	E3204 (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)(1059) 	m(1)(1060)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(10630)\) 	\(f_2(10631)\)
Hardy hierarchy 	\(H_{\omega^2}(10630)\) 	\(H_{\omega^2}(10631)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 2+4}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 2+4}}(10)\) (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