I think you misunderstanding an important concept. There are a finite number of atoms in the observable universe — that is, the part we can see (notice the lower case "u").
When people say "the universe", they can often refer to the observable universe. Sloppy, I know. The whole Universe (notice the capital "u" here) may be infinite. Also, don't know where you got the idea that the Universe has an infinite number of dimensions.
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