Unquadragintaseptingentillion

An unquadragintaseptingentillion is equal to \(10^{2226}\) in the short scale and \(10^{4446}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 741st -illion number.
In the long scale, \(10^{2226}\) is called unseptuagintatrecentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2226}\) (exact) 	\(1\times10^{2226}\) (exact)
Arrow notation 	\(10\uparrow 2226\) (exact) 	\(10\uparrow 2226\) (exact)
Steinhaus-Moser Notation 	771[3] 	772[3]
Chained arrow notation 	\(10\rightarrow 2226\) (exact) 	\(10\rightarrow 2226\) (exact)
Taro's multivariable Ackermann function	A(3,7391) 	A(3,7392)
BEAF & Bird's array notation 	{10,2226} (exact) 	{10,2226} (exact)
Hyper-E notation 	E2226 (exact) 	E2226 (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)(771) 	m(1)(772)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7381)\) 	\(f_2(7382)\)
Hardy hierarchy 	\(H_{\omega^2}(7381)\) 	\(H_{\omega^2}(7382)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 2+\omega 2+6}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 2+\omega 2+6}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4446}\) (exact) 	\(1\times10^{4446}\) (exact)
Arrow notation 	\(10\uparrow 4446\) (exact) 	\(10\uparrow 4446\) (exact)
Steinhaus-Moser Notation 	1411[3] 	1412[3]
Chained arrow notation 	\(10\rightarrow 4446\) (exact) 	\(10\rightarrow 4446\) (exact)
Taro's multivariable Ackermann function	A(3,14766) 	A(3,14767)
BEAF & Bird's array notation 	{10,4446} (exact) 	{10,4446} (exact)
Hyper-E notation 	E4446 (exact) 	E4446 (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)(1411) 	m(1)(1412)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(14755)\) 	\(f_2(14756)\)
Hardy hierarchy 	\(H_{\omega^2}(14755)\) 	\(H_{\omega^2}(14756)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 4+\omega 4+6}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 4+\omega 4+6}}(10)\) (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