- Not to be confused with greagol or Saibian's great googol.
Great googol, on analogy with gross and great gross, is defined by Andre Joyce as equal to \(10^{1,000}\).[1] Similarly, great great googol is \(10^{10,000}\) = googoltoll, great great great googol would be \(10^{100,000}\) = googolgong, and so forth.
Approximations in other notations
| Notation | Approximation |
|---|---|
| Arrow notation | \(10\uparrow1000\) (exact) |
| Bowers' Exploding Array Function | {10,1000} (exact) |
| Bird's array notation | {10,1000} (exact) |
| Chained arrow notation | \(10\rightarrow 1000\) (exact) |
| Hyper-E notation | E1000 (exact) |
| Scientific notation | \(10^{1000}\) (exact) |
| Fast-growing hierarchy | \(f_{2}(3\,311)\) |
Great googol has the same value with googolchime.
Sources[]
See also[]
Repunits: twenty-twos · thirty-threes · forty-fours · fifty-fives · sixty-sixes · seventy-sevens · eighty-eights
Googo- series: googoli · googolex · googoc · googoci · googocci · googoccic · googoxem · googolmox · googomump ·
Googoo- series: googool · googoodix
Googgoo- series: googgol · googgool · geegeel · geeggeel · geiggeil · geiggeim
Googolplux series: googolplux · googolpluc · googolplum
Bowers' numbers attempts: Joycian gaggol · Joycian gygol · Joycian gagol · Joyce's tetratri · Joyce's pentatri · Joycian grand tridecal · Joycian dimentri · Joycian dulatri · Joycian trimentri · Joycian decaltrix
Archive André Joyce archive
Originals: googol · googolplex
Cockburn's examples: gargoogolplex · fzgoogolplex · (mega)fugagoogolplex
Googol-n-plex: googolduplex · googoltriplex · -quadriplex · -quinplex · -sextiplex · -septiplex · -octiplex · -noniplex · -deciplex · -centiplex
Googol-103n-plex: googolmilliplex · -megaplex · -gigaplex · -teraplex · -petaplex · -exaplex · -zettaplex · -yottaplex · -xennaplex · -vekaplex · -mekaplex
Bowers' extensions: giggol · gaggol · geegol · boogol · biggol · troogol · goobol · more...
Saibian's extensions: googol-minutia · googolchime · googoltoll · googolgong · grangol · greagol · gigangol · gugold · graatagold · gugolthra · throogol · godgahlah · tethrathoth · more...
Miscellany: googolbang (10100!) · googolminex (10^-10100) · googolteen · googolty · great googol(plex) · gooprol · little googol/googolbit · zootzootplex