Trescentillion

A trescentillion is equal to \(10^{312}\) in the short scale and \(10^{618}\) in the long scale by Conway and Guy's naming system.Conway and Guy. (1995) "The book of Numbers" Copernicus Jonathan Bower called this number centretillion.Illion Numbers
In the modified Conway system, \(10^{312}\) is called trecentillion. Meauk pointed out that trecentillion has 2 meanings of \(10^{312}\) and \(10^{903}\) in the modified Conway system.Meauk's tweet Because of that, Fish claims that using the modified Conway system is discouraged.
In the long scale, \(10^{312}\) is called duoquinquagintillion.
==Approximations==
For short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{312}\) 	\(1\times10^{312}\)
Arrow notation 	\(10\uparrow312\) 	\(10\uparrow312\)
Steinhaus-Moser Notation 	144[3] 	145[3]
Copy notation 	9[312] 	1[313]
Chained arrow notation 	\(10→312\) 	\(10→312\)
H* function 	H(103) 	H(103)
Taro's multivariable Ackermann function	A(3,1033) 	A(3,1034)
Pound-Star Notation 	#*((844))*11 	#*((845))*11
BEAF 	{10,312} 	{10,312}
Hyper-E notation 	E312 	E312
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)[74989] 	(0)(0)(0)(0)(0)(0)[74990]
Bird's array notation 	{10,312} 	{10,312}
Hyperfactorial array notation 	172! 	173!
Strong array notation 	s(10,312) 	s(10,312)
Fast-growing hierarchy 	\(f_2(1026)\) 	\(f_2(1027)\)
Hardy hierarchy 	\(H_{\omega^2}(1026)\) 	\(H_{\omega^2}(1027)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^23+\omega+2}}(10)\)	\(g_{\omega^{\omega^23+\omega+2}}(10)\)
For long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{618}\) 	\(1\times10^{618}\)
Arrow notation 	\(10\uparrow618\) 	\(10\uparrow618\)
Steinhaus-Moser Notation 	256[3] 	257[3]
Copy notation 	9[618] 	1[619]
Chained arrow notation 	\(10\rightarrow618\) 	\(10\rightarrow618\)
H* function 	H(205) 	H(205)
Taro's multivariable Ackermann function	A(3,2049) 	A(3,2050)
Pound-Star Notation 	#*((485))*15 	#*((486))*15
BEAF 	{10,618} 	{10,618}
Hyper-E notation 	E618 	E618
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)[67317] 	(0)(0)(0)(0)(0)(0)(0)[67318]
Hyperfactorial array notation 	301! 	302!
Fast-growing hierarchy 	\(f_2(2041)\) 	\(f_2(2042)\)
Hardy hierarchy 	\(H_{\omega^2}(2041)\) 	\(H_{\omega^2}(2042)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^26+\omega+8}}(10)\)	\(g_{\omega^{\omega^26+\omega+8}}(10)\)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Tier 1 -illion numbers