Duocentillion

A duocentillion is equal to \(10^{309}\) in the short scale and \(10^{612}\) in the long scale by Conway and Guy's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus and with Jonathan Bowers system (short scale)Illion Numbers as it is the 102nd -illion number. It is the smallest -illion number not expressible in the double-precision floating-point format, as it maxes out at \(2^{1,024}\).
In the long scale, \(10^{309}\) is called unquinquagintilliard.
Aarex Tiaokhiao gave the name cetertillion, referring to the short-scale value of this number.Aarex Tiaokhiao's illion numbers
Sbiis Saibian coined hectatrillion, referring to the short-scale value of this number, using Russ Rowlett's illions.
 coined doecentillion, referring to the short-scale value of this number.
Do not confuse this number with Landon Curt Noll's duocentillion which means \(10^{603}\) in the short scale or ducentillion in Conway's system.English names of the first 10000 powers of 10 - American System without dashesEnglish names of the first 10000 powers of 10 - European System without dashes
==Decimal Expansion==
==Approximations==
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{309}\) 	\(1\times10^{309}\)
Arrow notation 	\(10\uparrow309\) 	\(10\uparrow309\)
Steinhaus-Moser Notation 	143[3] 	144[3]
Chained arrow notation 	\(10\rightarrow309\) 	\(10\rightarrow309\)
Copy notation 	9[309] 	10[155]
Taro's multivariable Ackermann function	A(3,1023) 	A(3,1024)
Pound-Star Notation 	#*((608))*11 	#*((609))*11
BEAF & Bird's array notation 	{10,309} 	{10,309}
Hyper-E notation 	E309 	E309
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)[67317] 	(0)(0)(0)(0)(0)(0)[67318]
Hyperfactorial array notation 	170! 	171!
Fast-growing hierarchy 	\(f_2(1\,016)\) 	\(f_2(1\,017)\)
Hardy hierarchy 	\(H_{\omega^2}(1\,016)\) 	\(H_{\omega^2}(1\,017)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^23+9}}(10)\)	\(g_{\omega^{\omega^23+9}}(10)\)
== 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