Colossoogol

is equal to \(\{100,5\times10^{16}[1[2\backslash2\neg2]2]2\}\) in Bird's array notation, using the modified Hierarchical Hyper-Nested Array Notation. The term was coined by googology user .
==Approximations==
Notation 	Approximation
Hyper-Extended Cascading-E Notation 	\(\text{E}100\#\{5\text{E}16\}\#100\)
DeepLineMadom's Array Notation 	\(100[1\{1<2/2>2\}2]5[2]10[3]16\)
Fast-growing hierarchy (with this system of fundamental sequences)	\(f_{\varphi(\omega,0,0)}(5\times10^{16})\)
\(\approx f_{\varphi(\omega,0,0)}(f_2(50))\)
Hardy hierarchy (with this system of fundamental sequences) 	\(H_{\varphi(\omega,0,0)}(5\times10^{16})\)
\(\approx H_{\varphi(\omega,0,0)+2}(50)\)
Slow-growing hierarchy (with this system of fundamental sequences)	\(g_{\psi_0(\Omega_2^{\Omega_2 \omega^8 5})}(100)\)
==Sources==
Category:Numbers
Category:Numbers by HaydenTheGoogologist2009
Category:Bachmann's collapsing level
Category:Bird's array notation numbers