Tresquinquagintaseptingentillion

A tresquinquagintaseptingentillion is equal to \(10^{2262}\) in the short scale and \(10^{4518}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 753rd -illion number.
In the long scale, \(10^{2262}\) is called septenseptuagintatrecentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2262}\) (exact) 	\(1\times10^{2262}\) (exact)
Arrow notation 	\(10\uparrow 2262\) (exact) 	\(10\uparrow 2262\) (exact)
Steinhaus-Moser Notation 	781[3] 	782[3]
Chained arrow notation 	\(10\rightarrow 2262\) (exact) 	\(10\rightarrow 2262\) (exact)
Taro's multivariable Ackermann function	A(3,7511) 	A(3,7512)
BEAF & Bird's array notation 	{10,2262} (exact) 	{10,2262} (exact)
Hyper-E notation 	E2262 (exact) 	E2262 (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)(781) 	m(1)(782)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7501)\) 	\(f_2(7502)\)
Hardy hierarchy 	\(H_{\omega^2}(7501)\) 	\(H_{\omega^2}(7502)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 2+\omega 6+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 2+\omega 6+2}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4518}\) (exact) 	\(1\times10^{4518}\) (exact)
Arrow notation 	\(10\uparrow 4518\) (exact) 	\(10\uparrow 4518\) (exact)
Steinhaus-Moser Notation 	1431[3] 	1432[3]
Chained arrow notation 	\(10\rightarrow 4518\) (exact) 	\(10\rightarrow 4518\) (exact)
Taro's multivariable Ackermann function	A(3,15005) 	A(3,15006)
BEAF & Bird's array notation 	{10,4518} (exact) 	{10,4518} (exact)
Hyper-E notation 	E4518 (exact) 	E4518 (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)(1431) 	m(1)(1432)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(14994)\) 	\(f_2(14995)\)
Hardy hierarchy 	\(H_{\omega^2}(14994)\) 	\(H_{\omega^2}(14995)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 5+\omega+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 5+\omega+8}}(10)\) (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