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I guess what I am really asking is, can an integer be constituted of an infinite non-repeating sequence of digits? Can you take all the digits of $\pi$ and store them in a single integer (even if we don't know how to write that?)

Widawensen
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LB--
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    No. An integer number is a finite number hence it cannot have an infinite number of digits (non repeating or periodic). – leonbloy Oct 16 '13 at 03:31
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    The question, perhaps, is what you mean by "store". One might argue that $960$ encodes all the digits, because it it stands (in some encodings) for the letter "$\pi$". – Robert Israel Oct 16 '13 at 04:35

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