How tall can Mona go?

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4,291,496,7296toushin Mona is a derivative of Hattoushin Mona that is so tall it extends out into space.

When I saw 4,291,496,7296toushin Mona, it reminded me of a blog post by Randall Munroe about a billion-story building. He did the math, and a billion-story building would be so tall that it would be ten times the distance from Earth to the moon. Which got me thinking: what would a realistic 4,291,496,7296toushin Mona be like?

I'm a big nerd, and I love procrastinating when I should be studying, so I'm going to figure this out. Eat your heart out, MatPat.

How tall is Hattoushin Mona?

To calculate the size of a 4,291,496,7296toushin Mona, we first need to figure out how tall a regular Hattoushin Mona is. Which should be easy, right? It literally says in their name that they're eight heads tall... ...Or are they?

15 ⊂_ヽ
14    \\ Λ_Λ
13     \ ( ´Д`)

12       > ⌒ヽ
11       /   へ\
10      /   /  \\
9       レ  ノ     ヽ_つ
8      /  /
7      /  /|
6     (  (ヽ
5     |  |、\
4     | 丿 \ ⌒)
3     | |   ) /
2    ノ )   Lノ
1    (_/

From the tips of its ears to its toes, a single Hattoushin Mona is 14 lines tall. (This one isn't standing perfectly straight, but it will have to do). If we count the ears as part of the head height, our "Hattoushin" Mona is actually 7 heads tall. If we don't count the ears, it's 13 heads tall. Or we could compromise, and say that the head is 1½ lines tall, making it 9 heads tall. Hmmm...

Even if we assume that Hattoushin Mona is exactly eight times as tall as its head, how tall is that head? It seems to be the same size as the heads of shorter AA characters like Mona and Giko. But how tall are they?

Mona and Moralar are anthropomorphic. They stand upright like humans, and do human things like use the computer. Plus, the human >>1-san is the same height as them. But Giko and Shii are different, Giko walks on all fours and Shii lives in a box. They're the same size as Mona and Moralar, but they seem more like regular cats granted sentience than like furries.

                 ((( )))
    ∧ ∧___       (´Д`; ) Holy shit, a giant cat
   /(*゚ー゚) /\      / つ1 _つ
 /| ̄∪∪ ̄|\/     人  Y
   |        |/      し'(_)
     ̄ ̄ ̄ ̄
      ∧
   Holy shit, a tiny human

I don't think that Mona and Giko are human-sized, it's probably more likely that they are around the size of regular cats due to their chibi proportions. So for the purposes of this thought experiment, I'm going to assume that Hattoushin Monas are human-sized, and that >>1-san has some sort of dwarfism.

As of 2023, the average male height in Japan is 172.06 cm (5 ft. 8 in.). In the United States, it's 176.94 cm (5 ft. 10 in.). The Netherlands has the tallest men, at 183.78 cm (6 ft.). Because they are eight heads tall, Hattoushins are probably slightly taller than average, so I'm going to assume that they're six feet tall.

How tall is 128toushin Mona?

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  ( ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄)―――――  \  / /
  ( ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄) ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ./
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128toushin Monas are derivatives of Hattoushin Mona that are 16 times the size of a regular Hattoushin. They're normally coiled up like snakes, but if we go with our estimation that Hattoushins are 6 feet tall, that makes 128toushins 96 feet long from end to end - almost as long as a blue whale, or more than half the length of a football field.

Power of Two Height (heads) Height (ft) Height (m)
20 1 0.75 0.2286
21 2 1.5 0.4572
22 4 3 0.9144
23 8 6 1.8288
24 16 12 3.6576
25 32 24 7.3152
26 64 48 14.6304
27 128 96 29.2608
28 256 192 58.5216
29 512 384 117.0432
210 1,024 768 234.0864
... ... ... ...
220 1,048,576 786,432 239,704.5
... ... ... ...
230 1,073,741,824 805,306,368 2.454574e+8
231 2,147,483,648 1,610,612,736 4.909148e+8
232 4,294,967,296 3,221,225,472 9.818295e+8

Sources: