No, I know that there are an infinite number. Wouldn't have even bothered anyone if I thought the result would be of finite length.
At this point based on imatfaal's helpful post, I'm amending my question to be regarding the decimal form instead. Also trying to figure out how/if it can be expressed as the sum of an infinite series. I was able to make a sort of programming loop version. Can't exactly define the infinite array it utilizes, nor provide it with the infinite memory and time needed; but were those things possible, it would work beautifully.