Tetralogue

Tetralogue is equal to E1#4 = EEEE1 = 10101010 using Hyper-E notation. The term was coined by Sbiis Saibian. It is equal to a one followed by a trialogue (ten trillitrestrigintatrecentillitrestrigintatrecentilliduotrigintatrecentillion) zeros. It is also equal to 101010,000,000,000, 410, or 10↑↑4 in up-arrow notation. It is 101010+1 digits long.
Writing down the full decimal expansion would take 109,999,999,994 books of 400 pages each, with 2,500 digits on each page (except for the first, which would have 2,501).
Username5243 calls this number goodcolduplex or dooquol, and it's equal to 10[2]4 = 10[1]10[1]10[1]10 in Username5243's Array Notation.Part 1 - My Large Numbers
BlankEntity calls this number Roentgenic Great Billion.
== Etymology ==
The name of this number is based on Greek prefix "tetra-" and the suffix "-logue" for "logarithm".
== Names in -illion systems ==
In Conway-Wechsler system,Conway and Guy (1995) "The book of Numbers" Copernicus \(10^{10^{10^{10}}}\) is expressed in short scale as follows by using Fish's result.User blog:Kyodaisuu/Illion name of 10^10^x in Conway-Wechsler system
Using Saibian's generalization of Bowers' -illions, it is approximately:
== Approximations in other notations ==
Notation 	Approximation
Up-arrow notation 	\(10 \uparrow\uparrow 4\) (exact)
Down-arrow notation 	\(10 \downarrow\downarrow (10^{10}+1)\) (exact)
Chained arrow notation 	\(10 \rightarrow 4 \rightarrow 2\) (exact)
Steinhaus-Moser Notation 	\(10[3][3][3]\)
Copy notation 	\(9[9[9[10]]]\)
Notation Array Notation 	\((10\{2,2\}4)\) (exact)
BEAF 	\(\{10,4,2\}\) (exact)
Bashicu matrix system 	\((0)(1)(0)(0)[427]\)
Hyperfactorial array notation	\(((13!)!)!\)
Nested Factorial Notation 	\(13!^3\)
Fast-growing hierarchy 	\(f_2(f_2(f_2(28))))\)
Hardy hierarchy 	\(H_{(\omega^2) 3}(28)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^{\omega^\omega}}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Numbers by Sbiis Saibian
Category:Hyper-E numbers
Category:Class 4
Category:3 entry linear
Category:Greek-based name
Category:Googol series
Category:-logue
Category:Doogol Regiment
zh:Tetralogue
Category:Guppy regiment