Googol-stack

Googol-stack is equal to \(10\uparrow\uparrow 10^{100}\) in up-arrow notation.Sbiis Saibian's Ultimate Finite Numbers List Part I It is also called a googolgoogolplex.bigΨ section 1.5.2. Googol world, Big Psi It is equal to a power tower of a googol tens.
Sbiis Saibian calls this number googologue, and it's equal to E1#10100 using Hyper-E notation.
Aarex Tiaokhiao and Username5243 call this number googolduex.Part 1 (LAN) - Aarex Googology Aarex Tiaokhiao also calls this number Giggolplexin-Googol.
== Etymology ==
The name "googol-stack" comes from the -stack suffix which, when applied to a number x, turns it into \(10 \uparrow\uparrow x\).
== Approximations in other notations ==
Notation 	Approximation
Up-arrow notation 	\(10 \uparrow\uparrow(10 \uparrow 100)\) (exact)
Chained arrow notation 	\(10 \rightarrow (10 \rightarrow 100) \rightarrow 2\) (exact)
BEAF 	\(\{10,\{10,100\},2\}\) (exact)
Hyper-E Notation 	\(\textrm{E}100\#1\#2\)
Hyperfactorial Array Notation	\((70!)!1\)
Fast-growing hierarchy 	\(f_3(f_2(324))\)
Hardy hierarchy 	\(H_{\omega^3+\omega^2}(324)\)
Slow-growing hierarchy 	\(g_{\varepsilon_{\omega^\omega}}(100)\)
== Sources ==
== See also ==
*Googolbang
*Googol-3-flex
zh:古戈爾棧
Category:Numbers
Category:Tetration level
Category:Googol series
Category:Hyper-E numbers
Category:Numbers by Sbiis Saibian
Category:3 entry linear
Category:Doogol Regiment