Tresquinquagintaducentillion

A tresquinquagintaducentillion is equal to \(10^{762}\) in the short scale and \(10^{1518}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 253rd -illion number.
In the long scale, \(10^{762}\) is called septemviginticentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{762}\) (exact) 	\(1\times10^{762}\) (exact)
Arrow notation 	\(10\uparrow 762\) (exact) 	\(10\uparrow 762\) (exact)
Steinhaus-Moser Notation 	306[3] 	307[3]
Chained arrow notation 	\(10\rightarrow 762\) (exact) 	\(10\rightarrow 762\) (exact)
Taro's multivariable Ackermann function	A(3,2528) 	A(3,2529)
BEAF & Bird's array notation 	{10,762} (exact) 	{10,762} (exact)
Hyper-E notation 	E762 (exact) 	E762 (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)(306) 	m(1)(307)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[30] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[31]
Fast-growing hierarchy 	\(f_2(2520)\) 	\(f_2(2521)\)
Hardy hierarchy 	\(H_{\omega^2}(2520)\) 	\(H_{\omega^2}(2521)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 7+\omega 6+2}}(10)\) (exact)	\(g_{\omega^{\omega^2 7+\omega 6+2}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1518}\) (exact) 	\(1\times10^{1518}\) (exact)
Arrow notation 	\(10\uparrow 1518\) (exact) 	\(10\uparrow 1518\) (exact)
Steinhaus-Moser Notation 	553[3] 	554[3]
Chained arrow notation 	\(10\rightarrow 1518\) (exact) 	\(10\rightarrow 1518\) (exact)
Taro's multivariable Ackermann function	A(3,5039) 	A(3,5040)
BEAF & Bird's array notation 	{10,1518} (exact) 	{10,1518} (exact)
Hyper-E notation 	E1518 (exact) 	E1518 (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)(553) 	m(1)(554)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5030)\) 	\(f_2(5031)\)
Hardy hierarchy 	\(H_{\omega^2}(5030)\) 	\(H_{\omega^2}(5031)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 5+\omega+8}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 5+\omega+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers