Googolgoogoltriplex

The googolgoogoltriplex or googolstackstackstackCantor's attic is equal to \(10 \uparrow\uparrow 10 \uparrow\uparrow 10 \uparrow\uparrow (10^{100})\).bigΨ section 1.5.2. Googol world
Aarex Tiaokhiao calls this number googoltreduex.Part 1 (LAN) - Aarex Googology
Username5243 calls this number googoltriduex, and it's equal to 10[2]googolduduex in Username5243's Array Notation.
== Etymology ==
The name "googolstackstackstack" can be separated into 4 parts, "googol" and 3 "-stack"s, where "n-stack" means \(10\uparrow\uparrow n\), so 3 "-stack"s means the operation applying 3 times.
== Approximations in other notations ==
Notation 	Approximation
Up-arrow notation 	\(10 \uparrow\uparrow 10 \uparrow\uparrow 10 \uparrow\uparrow(10 \uparrow 100)\) (exact)
Chained arrow notation 	\(10 \rightarrow (10 \rightarrow (10 \rightarrow 10^{100} \rightarrow 2) \rightarrow 2) \rightarrow 2\) (exact)
BEAF 	\(\{10,\{10,\{10,\{10,100\},2\},2\},2\}\) (exact)
Hyper-E notation 	\(\textrm{E}100\#1\#4\)
Hyperfactorial array notation	\((((70!)!1)!1)!1\)
Fast-growing hierarchy 	\(f_3(f_3(f_3(f_2(324))))\)
Hardy hierarchy 	\(H_{\omega^33+\omega^2}(324)\)
Slow-growing hierarchy 	\(g_{\varepsilon_{\varepsilon_{\varepsilon_{\omega^\omega}}}}(100)\)
== Sources ==
Category:Numbers
Category:Up-arrow notation level
Category:Googol series
Category:-plex