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The googondol regiment is a series of numbers from E100#100#100#100#100#100#100#100#100#100 to E100##10#2 defined using Hyper-E Notation (i.e. beginning from googondol and up to great googondol).[1] The numbers were coined by Sbiis Saibian.

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Gargantuul regiment Gugold regiment

## List of numbers of the regiment

Name of number Hyper-E Notation (definition) Arrow notation (approximation)
googondol E100#100#100#100#100#100#100#100#100#100 $$10\uparrow^{10}100$$
gargantuuldecex E100#100#100#100#100#100#100#100#100#1#2 $$10\uparrow^{10}(10\uparrow^{9}100)$$
gargantuulennexidecex E100#100#100#100#100#100#100#100#100#2#2 $$10\uparrow^{10}(10\uparrow^{9}(10\uparrow^{9}100))$$
gargantuulduennexidecex E100#100#100#100#100#100#100#100#100#3#2 $$10\uparrow^{10}(10\uparrow^{9}(10\uparrow^{9}(10\uparrow^{9}100)))$$
googondoldecex E100#100#100#100#100#100#100#100#100#100#2 $$10\uparrow^{10}(10\uparrow^{10}100)$$
gargantuuldudecex E100#100#100#100#100#100#100#100#100#1#3 $$10\uparrow^{10}(10\uparrow^{10}(10\uparrow^{9}100))$$
gargantuulennexidudecex E100#100#100#100#100#100#100#100#100#2#3 $$10\uparrow^{10}(10\uparrow^{10}(10\uparrow^{9}(10\uparrow^{9}100)))$$
gargantuulduennexidudecex E100#100#100#100#100#100#100#100#100#3#3 $$10\uparrow^{10}(10\uparrow^{10}(10\uparrow^{9}(10\uparrow^{9}(10\uparrow^{9}100))))$$
googondoldudecex E100#100#100#100#100#100#100#100#100#100#3 $$10\uparrow^{10}(10\uparrow^{10}(10\uparrow^{10}100))$$
googondolchime E1000#1000#1000#1000#1000#1000#

1000#1000#1000#1000

$$10\uparrow^{10}1000$$
googondoldecexichime E1000#1000#1000#1000#1000#1000#

1000#1000#1000#1000#2

$$10\uparrow^{10}(10\uparrow^{10}1000)$$
googondoldudecexichime E1000#1000#1000#1000#1000#1000#

1000#1000#1000#1000#3

$$10\uparrow^{10}(10\uparrow^{10}(10\uparrow^{10}1000))$$
googondoltoll E10,000#10,000#10,000#10,000#10,000#

10,000#10,000#10,000#10,000#10,000

$$10\uparrow^{10}10^4$$
googondoldecexitoll E10,000#10,000#10,000#10,000#10,000#

10,000#10,000#10,000#10,000#10,000#2

$$10\uparrow^{10}(10\uparrow^{10}10^4)$$
googondoldudecexitoll E10,000#10,000#10,000#10,000#10,000#

10,000#10,000#10,000#10,000#10,000#3

$$10\uparrow^{10}(10\uparrow^{10}(10\uparrow^{10}10^4))$$
googondolgong E100,000#100,000#100,000#100,000#

100,000#100,000#100,000#100,000#100,000#100,000

$$10\uparrow^{10}10^5$$
googondoldecexigong E100,000#100,000#100,000#100,000#100,000#

100,000#100,000#100,000#100,000#100,000#2

$$10\uparrow^{10}(10\uparrow^{10}10^5)$$
googondoldudecexigong E100,000#100,000#100,000#100,000#100,000#

100,000#100,000#100,000#100,000#100,000#3

$$10\uparrow^{10}(10\uparrow^{10}(10\uparrow^{10}10^5))$$
googondolbong E100,000,000#100,000,000# ...

... #100,000,000#100,000,000 w/10 100,000,000s

$$10\uparrow^{10}10^8$$
googondoldecexibong E100,000,000#100,000,000# ...

... #100,000,000#100,000,000#2 w/10 100,000,000s

$$10\uparrow^{10}(10\uparrow^{10}10^8)$$
googondoldudecexibong E100,000,000#100,000,000# ...

... #100,000,000#100,000,000#3 w/10 100,000,000s

$$10\uparrow^{10}(10\uparrow^{10}(10\uparrow^{10}10^8))$$
googondolthrong E100,000,000,000#100,000,000,000# ...

...#100,000,000,000#100,000,000,000

w/10 100,000,000,000s

$$10\uparrow^{10}10^{11}$$
googondoldecexithrong E100,000,000,000#100,000,000,000# ...

...#100,000,000,000#100,000,000,000#2 w/10 100,000,000,000s

$$10\uparrow^{10}(10\uparrow^{10}10^{11})$$
googondoldudecexithrong E100,000,000,000#100,000,000,000# ...

...#100,000,000,000#100,000,000,000#3 w/10 100,000,000,000s

$$10\uparrow^{10}(10\uparrow^{10}(10\uparrow^{10}10^{11}))$$
googoldecex E100#1#1#1#1#1#1#1#1#1#2 $$10\uparrow^{10}10^{100}$$
grangoldecex E100#100#1#1#1#1#1#1#1#1#2 $$10\uparrow^{10}(10\uparrow^{2}100)$$
greagoldecex E100#100#100#1#1#1#1#1#1#1#2 $$10\uparrow^{10}(10\uparrow^{3}100)$$
gigangoldecex E100#100#100#100#1#1#1#1#1#1#2 $$10\uparrow^{10}(10\uparrow^{4}100)$$
gorgegoldecex E100#100#100#100#100#1#1#1#1#1#2 $$10\uparrow^{10}(10\uparrow^{5}100)$$
gulgoldecex E100#100#100#100#100#100#1#1#1#1#2 $$10\uparrow^{10}(10\uparrow^{6}100)$$
gaspgoldecex E100#100#100#100#100#100#100#1#1#1#2 $$10\uparrow^{10}(10\uparrow^{7}100)$$
ginorgoldecex E100#100#100#100#100#100#100#100#1#1#2 $$10\uparrow^{10}(10\uparrow^{8}100)$$
googondolplex E(E100##10) $$10\uparrow(10\uparrow^{10}100)$$
googondoldex E100#(E100##10) $$10\uparrow^2 (10\uparrow^{10}100)$$
googondolthrex E100#100#(E100##10) $$10\uparrow^3 (10\uparrow^{10}100)$$
googondoltetrex E100#100#100#(E100##10) $$10\uparrow^4 (10\uparrow^{10}100)$$
googondolpentex E100#100#100#100#(E100##10) $$10\uparrow^5 (10\uparrow^{10}100)$$
googondolhex E100#100#100#100#100#(E100##10) $$10\uparrow^6 (10\uparrow^{10}100)$$
googondolheptex E100#100#100#100#100#100#(E100##10) $$10\uparrow^7 (10\uparrow^{10}100)$$
googondoloctex E100#100#100#100#100#100#100#(E100##10) $$10\uparrow^8 (10\uparrow^{10}100)$$
googondolennex E100#100#100#100#100#100#100#100#(E100##10)

= E100#100#100#100#100#100#100#100#100#101

$$10\uparrow^9 (10\uparrow^{10}100)$$
ecetondecex E303#1#1#1#1#1#1#1#1#1#2 $$10\uparrow^{10} (10^{303})$$
ecetondudecex E303#1#1#1#1#1#1#1#1#1#3 $$10\uparrow^{10} (10\uparrow^{10} (10^{303}))$$
tria-dodekaxis E1#1#1#1#1#1#1#1#1#1#3 $$10\uparrow^{11} 3$$
tetra-dodekaxis E1#1#1#1#1#1#1#1#1#1#4 $$10\uparrow^{11} 4$$
deka-dodekaxis E1#1#1#1#1#1#1#1#1#1#10 $$10\uparrow^{11} 10$$
hecta-dodekaxis E1#1#1#1#1#1#1#1#1#1#100 $$10\uparrow^{11} 100$$
chilia-dodekaxis E1#1#1#1#1#1#1#1#1#1#1000 $$10\uparrow^{11} 1000$$
myria-dodekaxis E1#1#1#1#1#1#1#1#1#1#10,000 $$10\uparrow^{11} 10000$$
googoadol E100##11 $$10\uparrow^{11} 100$$
goograndol E100##12 $$10\uparrow^{12} 100$$
googreadol E100##13 $$10\uparrow^{13} 100$$
googigandol E100##14 $$10\uparrow^{14} 100$$
googorgedol E100##15 $$10\uparrow^{15} 100$$
googuldol E100##16 $$10\uparrow^{16} 100$$
googaspdol E100##17 $$10\uparrow^{17} 100$$
googinordol E100##18 $$10\uparrow^{18} 100$$
googarganduul E100##19 $$10\uparrow^{19} 100$$
googonkosol E100##20 $$10\uparrow^{20} 100$$
googontritol E100##30 $$10\uparrow^{30} 100$$
googonsartol E100##40 $$10\uparrow^{40} 100$$
googonpetol E100##50 $$10\uparrow^{50} 100$$
googonextol E100##60 $$10\uparrow^{60} 100$$
googoneptol E100##70 $$10\uparrow^{70} 100$$
googonogdol E100##80 $$10\uparrow^{80} 100$$
googonentol E100##90 $$10\uparrow^{90} 100$$
googonhectol E100##100 $$10\uparrow^{100} 100$$
great googol E100##1#2 = E100##(E100##1#1) =

= E100##(E100) = E100##(googol) = E100#100#100#100# ... ... #100#100#100#100 w/googol 100s

$$10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10^{100}\quad \uparrow 's}100$$
great grangol E100##2#2

= E100##(E100#100)

$$10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10\uparrow^2 100}100$$
great greagol E100##3#2

= E100##(E100#100#100)

$$10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10\uparrow^3 100}100$$
great gigangol E100##4#2

= E100##(E100#100#100#100)

$$10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10\uparrow^4 100}100$$
great gorgegol E100##5#2

= E100##(E100#100#100#100#100)

$$10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10\uparrow^5 100}100$$
great gulgol E100##6#2

= E100##(E100#100#100#100#100#100)

$$10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10\uparrow^6 100}100$$
great gaspgol E100##7#2

= E100##(E100#100#100#100#100#100#100)

$$10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10\uparrow^7 100}100$$
great ginorgol E100##8#2

= E100##(E100#100#100#100#100#100#100#100)

$$10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10\uparrow^8 100}100$$
great gargantuul E100##9#2

= E100##(E100#100#100#100#100#100#100#100#100)

$$10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10\uparrow^9 100}100$$
great googondol E100##10#2

= E100##(E100##10) = E100##(googondol) = E100#100#100#100#100# ... ... #100#100#100#100#100 w/googondol 100s

$$10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10\uparrow^{10} 100}100$$

## Sources

1. Sbiis Saibian, 4.3.2 - Hyper-E Numbers