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The goggol is equal to $$\{10,100,6\}$$ in BEAF.[1] The term was coined by Jonathan Bowers.

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

Username5243 calls this number Exoogol, and it's equal to 10[6]100 in Username5243's Array Notation.[3]

Approximations

Notation Approximation
Chained arrow notation $$10 \rightarrow 100 \rightarrow 6$$ (exact value)
Notation Array Notation $$(10\{2,6\}100)$$
Hyperfactorial array notation $$102!5$$
Fast-growing hierarchy $$f_7(100)$$
Hardy hierarchy $$H_{\omega^7}(100)$$
Slow-growing hierarchy $$g_{\varphi(5,0)}(100)$$

Sources

1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.
2. Saibian, Sbiis. Hyper-E Numbers. Retrieved 2015-04-16.
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)