Binary-Tooquol

The Binary-Tooquol (also called Binary-Tetootol) is equal to 2[3]4 = 2[4]3 using Username5243's Array Notation. This number is equal to \(2 \uparrow\uparrow\uparrow\uparrow 3\) = \(2 \uparrow\uparrow\uparrow 4\) = \(2 \uparrow\uparrow 65536\) using arrow notation. The term was coined by Wikia user Username5243.
ARsygo coined ascend-tet for this number.AR Googol - Numbers from BEAF. Retrieved 2022-10-26.
==Approximations==
Notation 	Lower bound 	Upper bound
Arrow notation 	\(2\uparrow \uparrow 65,536\)\(=2\uparrow \uparrow \uparrow 4\)	\(2\uparrow \uparrow 65,536\)\(=2\uparrow \uparrow \uparrow 4\)
Steinhaus-Moser Notation 	6[3][4] 	7[3][4]
Chained arrow notation 	\(2\to 65,536 \to 2\), \(2\to 4 \to 3\) 	\(2\to 65,536 \to 2\), \(2\to 4 \to 3\)
Decimal equivalent 	(10↑)65,5311019,727 	(10↑)65,5311019,728
Hyperfactorial array notation	65533!1 	65534!1
BEAF & Bird's array notation 	{2,65536,2}, {2,4,3} 	{2,65536,2}, {2,4,3}
Hyper-E notation 	E[2]1#1#4 	E[2]1#1#4
Fast-growing hierarchy 	\(f_3(65\,532)\) 	\(f_3(65\,533)\)
Hardy hierarchy 	\(H_{\omega^3 2}(65\,532)\) 	\(H_{\omega^3 2}(65\,533)\)
Slow-growing hierarchy 	\(g_{\varepsilon_{\omega^4}}(8)\) 	\(g_{\varepsilon_{\omega^4}}(9)\)
== Sources ==
Category:Numbers
Category:Numbers by Username5243
Category:Tetration level
Category:Powers of 2
Category:Googol series
Category:Toogol Regiment
Category:Incomplete