Unquadragintaquadringentillion

An unquadragintaquadringentillion is equal to \(10^{1326}\) in the short scale and \(10^{2646}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 441st -illion number.
In the long scale, \(10^{1326}\) is called unvigintiducentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1326}\) (exact) 	\(1\times10^{1326}\) (exact)
Arrow notation 	\(10\uparrow 1326\) (exact) 	\(10\uparrow 1326\) (exact)
Steinhaus-Moser Notation 	492[3] 	493[3]
Chained arrow notation 	\(10\rightarrow 1326\) (exact) 	\(10\rightarrow 1326\) (exact)
Taro's multivariable Ackermann function	A(3,4401) 	A(3,4402)
BEAF & Bird's array notation 	{10,1326} (exact) 	{10,1326} (exact)
Hyper-E notation 	E1326 (exact) 	E1326 (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)(492) 	m(1)(493)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4392)\) 	\(f_2(4393)\)
Hardy hierarchy 	\(H_{\omega^2}(4392)\) 	\(H_{\omega^2}(4393)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 3+\omega 2+6}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 3+\omega 2+6}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2646}\) (exact) 	\(1\times10^{2646}\) (exact)
Arrow notation 	\(10\uparrow 2646\) (exact) 	\(10\uparrow 2646\) (exact)
Steinhaus-Moser Notation 	896[3] 	897[3]
Chained arrow notation 	\(10\rightarrow 2646\) (exact) 	\(10\rightarrow 2646\) (exact)
Taro's multivariable Ackermann function	A(3,8786) 	A(3,8787)
BEAF & Bird's array notation 	{10,2646} (exact) 	{10,2646} (exact)
Hyper-E notation 	E2646 (exact) 	E2646 (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)(896) 	m(1)(897)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8776)\) 	\(f_2(8777)\)
Hardy hierarchy 	\(H_{\omega^2}(8776)\) 	\(H_{\omega^2}(8777)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 6+\omega 4+6}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 6+\omega 4+6}}(10)\) (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