Tresquinquagintaoctingentillion

A tresquinquagintaoctingentillion is equal to \(10^{2562}\) in the short scale and \(10^{5118}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 853rd -illion number.
In the long scale, \(10^{2562}\) is called septemvigintiquadringentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2562}\) (exact) 	\(1\times10^{2562}\) (exact)
Arrow notation 	\(10\uparrow 2562\) (exact) 	\(10\uparrow 2562\) (exact)
Steinhaus-Moser Notation 	871[3] 	872[3]
Chained arrow notation 	\(10\rightarrow 2562\) (exact) 	\(10\rightarrow 2562\) (exact)
Taro's multivariable Ackermann function	A(3,8507) 	A(3,8508)
BEAF & Bird's array notation 	{10,2562} (exact) 	{10,2562} (exact)
Hyper-E notation 	E2562 (exact) 	E2562 (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)(871) 	m(1)(872)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8497)\) 	\(f_2(8498)\)
Hardy hierarchy 	\(H_{\omega^2}(8497)\) 	\(H_{\omega^2}(8498)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 5+\omega 6+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 5+\omega 6+2}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{5118}\) (exact) 	\(1\times10^{5118}\) (exact)
Arrow notation 	\(10\uparrow 5118\) (exact) 	\(10\uparrow 5118\) (exact)
Steinhaus-Moser Notation 	1597[3] 	1598[3]
Chained arrow notation 	\(10\rightarrow 5118\) (exact) 	\(10\rightarrow 5118\) (exact)
Taro's multivariable Ackermann function	A(3,16998) 	A(3,16999)
BEAF & Bird's array notation 	{10,5118} (exact) 	{10,5118} (exact)
Hyper-E notation 	E5118 (exact) 	E5118 (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)(1597) 	m(1)(1598)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(16987)\) 	\(f_2(16988)\)
Hardy hierarchy 	\(H_{\omega^2}(16987)\) 	\(H_{\omega^2}(16988)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 5+\omega^2+\omega+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 5+\omega^2+\omega+8}}(10)\) (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