Uncentillion

An uncentillion is equal to \(10^{306}\) in the short scale and \(10^{606}\) in the long scale by Conway and Guy's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 101st -illion number. Jonathan Bowers called this number cenuntillion.Illion Numbers Aarex Tiaokhiao called this number cebillion.Aarex Tiaokhiao's illion numbers It is the largest -illion expressible in the double-precision floating-point format, as it maxes out at \(2^{1,024}\).
In the long scale, \(10^{306}\) is called unquinquagintillion.
==Approximations==
For short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{306}\) 	\(1\times10^{306}\)
Arrow notation 	\(10\uparrow306\) 	\(10\uparrow306\)
Steinhaus-Moser Notation 	142[3] 	143[3]
Copy notation 	9[306] 	1[307]
Taro's multivariable Ackermann function	A(3,1013) 	A(3,1014)
Pound-Star Notation 	#*((437))*11 	#*((438))*11
BEAF 	{10,306} 	{10,306}
Hyper-E notation 	E306 	E306
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)[60429] 	(0)(0)(0)(0)(0)(0)[60430]
Hyperfactorial array notation 	169! 	170!
Fast-growing hierarchy 	\(f_2(1\,006)\) 	\(f_2(1\,007)\)
Hardy hierarchy 	\(H_{\omega^2}(1\,006)\) 	\(H_{\omega^2}(1\,007)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^23+6}}(10)\)	\(g_{\omega^{\omega^23+6}}(10)\)
For long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{606}\) 	\(1\times10^{606}\)
Arrow notation 	\(10\uparrow606\) 	\(10\uparrow606\)
Steinhaus-Moser Notation 	252[3] 	253[3]
Copy notation 	9[606] 	1[607]
Taro's multivariable Ackermann function	A(3,2010) 	A(3,2011)
Pound-Star Notation 	#*((187))*15 	#*((188))*15
BEAF 	{10,606} 	{10,606}
Hyper-E notation 	E606 	E606
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)[54246] 	(0)(0)(0)(0)(0)(0)(0)[54247]
Hyperfactorial array notation 	296! 	297!
Fast-growing hierarchy 	\(f_2(2\,002)\) 	\(f_2(2\,003)\)
Hardy hierarchy 	\(H_{\omega^2}(2\,002)\) 	\(H_{\omega^2}(2\,003)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^26+6}}(10)\)	\(g_{\omega^{\omega^26+6}}(10)\)
== Sources ==
== See also ==
Category:Numbers
Category:Illion
Category:Class 2
Category:Numbers with 101 to 999 digits
Category:Tier 1 -illion numbers