List of googolisms/Bachmann's collapsing level

Smaller numbers

\(f_{\Gamma_0}(10^6)\) ~ \(f_{\varphi(1,0,0,0)}(10^6)\)

 * Hugexul, 200![200(1)200] \(\approx f_{\Gamma_{198}+199}(200)\)
 * Kilohugexul, hugexul![200(1)200]
 * Superior Hugexul, 200![200(1)200,200] \(\approx f_{\Gamma_{\omega^2}}(200)\)
 * Bisuperior Hugexul, 200![200(1)200,200,200]
 * Pentacthulhusquare, E100#^^^##100
 * Pentacthulcubor, E100#^^^###100
 * Pentacthulteron, E100#^^^####100
 * Pentacthulpeton, E100#^^^#^#5
 * Pentacthulhexon, E100#^^^#^#6
 * Pentacthulhepton, E100#^^^#^#7
 * Pentacthul-ogdon, E100#^^^#^#8
 * Pentacthulennon, E100#^^^#^#9
 * Pentacthuldekon, E100#^^^#^#10
 * Pentacthultope, E100#^^^#^#100
 * Hexacthulhum, E100#^^^^#100
 * Quadrunculus, {10,100,4} & 10
 * Hugebixul, 200![200(1)200(1)200] \(\approx f_{\varphi(2,0,198)}(200)\)
 * Superior Hugebixul, 200![200(1)200(1)200,200] \(\approx f_{\varphi(2,0,\omega^2)}(200)\)
 * Bisuperior Hugebixul, 200![200(1)200(1)200,200,200]
 * Heptacthulhum, E100#{5}#100
 * Hugetrixul, 200![200(1)200(1)200(1)200] \(\approx f_{\varphi(3,0,198)}(200)\)
 * Superior Hugetrixul, 200![200(1)200(1)200(1)200,200]
 * Bisuperior Hugetrixul, 200![200(1)200(1)200(1)200,200,200]
 * Ogdacthulhum, E100#{6}#100
 * Hugequaxul, 200![200(1)200(1)200(1)200(1)200] \(\approx f_{\varphi(4,0,198)}(200)\)
 * Superior Hugequaxul, 200![200(1)200(1)200(1)200(1)200,200]
 * Bisuperior Hugequaxul, 200![200(1)200(1)200(1)200(1)200,200,200]
 * Ennacthulhum, E100#{7}#100
 * Dekacthulhum, E100#{8}#100
 * Dekacthularxihect, E100#{9}#100
 * Tridecatrix, {10,10,10} & 10
 * Goliath, E100#{10}#100
 * Golligog, E100#{50}#100
 * Humongulus, {10,10,100} & 10
 * Godsgodgulus, E100#{100}#100

\(f_{\varphi(1,0,0,0)}(10^6)\) ~ \(f_{\vartheta(\Omega^\omega)}(10^{10^6})\)

 * Enormaxul, 200![200(2)200] \(\approx f_{\varphi(1,0,0,198)+199}(200)\)
 * Kiloenormaxul, enormaxul![200(2)200]
 * Gigantorgog, E100#{500}#100
 * Colossigog, E100#{50,000,000,000,000,000}#100
 * Grand godsgodgulus, E100#{#}#100#2
 * Superior Enormaxul, 200![200(2)200,200] \(\approx f_{\varphi(1,0,0,\omega^2)}(200)\)
 * Bisuperior Enormaxul, 200![200(2)200,200,200]
 * Enormabixul, 200![200(2)200(2)200] \(\approx f_{\varphi(2,0,0,198)+199}(200)\)
 * Superior Enormabixul, 200![200(2)200(2)200,200] \(\approx f_{\varphi(2,0,0,\omega^2)}(200)\)
 * Bisuperior Enormabixul, 200![200(2)200(2)200,200,200]
 * Enormatrixul, 200![200(2)200(2)200(2)200] \(\approx f_{\varphi(3,0,0,198)+199}(200)\)
 * Superior Enormatrixul, 200![200(2)200(2)200(2)200,200]
 * Bisuperior Enormatrixul, 200![200(2)200(2)200(2)200,200,200]
 * Enormaquaxul, 200![200(2)200(2)200(2)200(2)200] \(\approx f_{\varphi(4,0,0,198)+199}(200)\)
 * Superior Enormaquaxul, 200![200(2)200(2)200(2)200(2)200,200]
 * Bisuperior Enormaquaxul, 200![200(2)200(2)200(2)200(2)200,200,200]
 * Destruxul, 200![200(200)200] \(\approx f_{\vartheta(\Omega^{200},198)+199}(200)\)
 * Kilodestruxul, destruxul![200(200)200]
 * Great Destruxul, 200![200(200)200(200)200] \(\approx f_{\vartheta(\Omega^{200} 2)}(200)\)
 * Bigreat Destruxul, 200![200(200)200(200)200(200)200] \(\approx f_{\vartheta(\Omega^{200} 3)}(200)\)

\(f_{\vartheta(\Omega^\omega)}(10^{10^6})\) ~ \(f_{\vartheta(\varepsilon_{\Omega+1})}(10^6)\)

 * Bird's number, \(\approx f_{\vartheta(\Omega^{\omega})+2}(f_{\vartheta(\Omega^{\omega})+1}(f_{\vartheta(\Omega^{\omega})}(f_{\vartheta(\Omega^{\omega})}(7))))\)
 * TREE(3) (lower bound)
 * Destrubixul, 200![200([200(200)200])200] \(\approx f_{\vartheta(\Omega^{\vartheta(\Omega^\omega)})}(200)\)
 * Great Destrubixul, 200![200([200(200)200(200)200])200(200)200]
 * Bigreat Destrubixul, 200![200([200(200)200(200)200(200)200])200(200)200(200)200]
 * Destrutrixul, 200![200([200([200(200)200])200])200]
 * Great Destrutrixul
 * Bigreat Destrutrixul
 * Destruquaxul, 200![200([200([200([200(200)200])200])200])200]
 * Great Destruquaxul
 * Bigreat Destruquaxul
 * Golapulus, {10,100} & 10 & 10
 * Extremexul, 200![1(1)[2200,200,200,200]] \(\approx f_{\vartheta(\varepsilon_{\Omega+1})}(200)\)
 * Kiloextremexul, extremexul![1(1)[2200,200,200,200]]

Larger numbers