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The gaggol is equal to $$\{10,100,3\}$$ in BEAF, or 10 pentated to 100.[1] In tetra-tower form, this is equal to 1010...1010 with 100 tens. The term was coined by Jonathan Bowers.

This number is also called hecta-taxis (formerly hecta-teraksys) by Sbiis Saibian, and it's equal to E1#1#100 in Hyper-E Notation.[2]

Username5243 calls this number Toogol, and it's equal to 10[3]100 in Username5243's Array Notation.[3]

## ComputationEdit

The number can be computed as follows:

1. Let N1 be 10.
2. Let Nx be $$10^{10^{10^{...^{10^{10}}}}}$$, with Nx-1 tens.
3. Gaggol is N100.

## Approximations Edit

Notation Approximation
Bird's array notation $$\{10,100,3\}$$ (exact)
Hyper-E notation $$E1\#1\#100$$ (exact)
Chained arrow notation $$10 \rightarrow 100 \rightarrow 3$$ (exact)
Hyperfactorial array notation $$102!2$$
Nested Factorial Notation $$100![3]$$
Fast-growing hierarchy $$f_4(100)$$
Hardy hierarchy $$H_{\omega^4}(100)$$
Slow-growing hierarchy $$g_{\zeta_0}(100)$$

## Sources Edit

1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.
2. Saibian, Sbiis. Hyper-E Numbers. Retrieved 2015-03-18.
3. Username5243. Shortened listMy Large Numbers. Retrieved 2017-05-02.

Jonathan Bowers' googol series

Googol series: googol(plex/duplex/triplex/quadraplex) · giggol(plex/duplex) · gaggol(plex/duplex) · geegol(plex) · gigol(plex) · goggol(plex) · gagol(plex)
Boogol series: boogol(plex/duplex/triplex) · biggol(plex/duplex) · baggol(plex) · beegol(plex) · bigol(plex) · boggol(plex) · bagol(plex)
Troogol series: troogol(plex/duplex) · triggol(plex) · traggol(plex) · treegol(plex) · trigol(plex) · troggol(plex) · tragol(plex)
Quintoogol series: quintoogol(plex) · quintiggol · quintaggol · quinteegol · quintigol · quintoggol · quintagol · (sextoogol · septoogol · octoogol)
Goobol series: goobol(plex) · gibbol · gabbol · geebol · gibol · gobbol · gabol
Boobol series: boobol · bibbol · babbol · beebol · bibol · bobbol · babol
Troobol series: troobol · tribbol · trabbol · treebol · tribol · trobbol · trabol
Gossol series: gossol(plex) · gissol(plex) · gassol(plex) · geesol(plex) · gussol(plex)
Mossol series: mossol(plex) · missol · massol · meesol · mussol
Bossol series: bossol · bissol · bassol · beesol · bussol
Trossol series: trossol · trissol · trassol · treesol · trussol · (quadrossol · quintossol)
Dubol series: dubol · dutrol · duquadrol · dossol(plex)

Saibian's power towers of 10s

Googol — Greagol
Greagol — Gugold
Throogol — Godgahlah-ex-grand godgahlah