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I am not sure what you mean by "types" of numbers.

There are integers with 1 to 4 digits; there are rational fractions.

Then there are surds: like the 13√24 (the 13th root of 24)

or exponents, like 2341 or logarithms such as log2134.

Some of these will be equal but I guess there will still be well over a hundred.

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Q: How many different types of numbers can you make with 123 and 4?
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