New CBB

Archimedes' Psammites (the Sand Reckoner) tried to estimate how many grains of sand would fit in a sphere a light-year in diameter.
To do that he had to (among other things) invent a system of naming very large numerals.

Is it possible he was handicapped by writing in Hellenistic Greek?
One would expect that Big Nambas would be the language most naturally equipped to express very-large numerals.

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[/joke]

ObConlang (also ObNatlang):
I can't find it on the CBB, so wherever I posted it must have been somewhere else, and/or it got deleted.

In your natlang or conlang, assuming your numeral base is B, how do you (and can you) express the following numbers?

1. B^(2^1) = B^2
2. B^(2^2) = B^4 = the square of the above
3. B^(2^3) = B^8 = the square of the above
4. B^(2^4) = B^16 = the square of the above
5. B^(2^5) = B^32 = the square of the above
6. B^(2^6) = B^64 = the square of the above
7. B^(2^7) = B^128 = the square of the above
8. B^(2^8) = B^256 = the square of the above
9. B^(2^9) = B^512 = the square of the above
10. B^(2^10) = B^1024 = the square of the above

For instance, if your language's numeral base is ten, this would be

1. 10^2 = 100 = one hundred
2. 10^4 = 10,000 = ten thousand or one myriad
3. 10^8 = 100,000,000 = one hundred million
4. 10^16 = 10,000, 000,000, 000,000 = ten quadrillion (short count) or ten thousand million million
5. 10^32 = 100, 000,000, 000,000, 000,000, 000,000, 000,000 = one hundred nonillion (short count)
6. 10^64 = ten vigintillion (short count)
7. 10^128 = one hundred quadrigintitrillion (did I do this right?)
8. 10^256 = ten octogintiquadrillion (did I do this right?)
9. 10^512 is beyond English's short-count system (which stops at 10^303);
10. 10^1024 is beyond English's long-count system (which stops at 10^600).

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I am not responsible for the accuracy of my sources; they're responsible for their own mistakes, if any, and also responsible for defending their own statements if you disagree with them.

I use base 6 with a very regular system up to 6^9. For bigger numbers you would need compunds :

As for my natlang, French uses the long count so 10^9 is "un milliard", 10^12 "un billion", 10^15 "un billiard", etc :

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grammaire du jrawélien - textes - lexique - miscellanées

Let's reach the limits of the Atlantika number system: up to 10^16 these are "real" Atlantean words, past that point I translated by making them up on the spot.

A. 100 = ekatos
B. 10.000 = miryos (cognate with myriad )
C. 100.000.000 = ekate milhone
D. 10^16 = deke qadrilhone
E. 10^32 = ekate enilhone (?) From now on you're better off with scientific notation IMO...
F. 10^64 = deke ikosilhone (?)
G. 10^128 = ekate tesarkontatrilhone (??) What do you count with these two I wonder
H. 10^256 = deke oktekontaqadrilhone (??)