Even if we measure the widest distance (width of the known universe) by the smallest unit (planck length), we only get to 10^61, which is still 16 orders of magnitude away.
oh, but space is 3d, so we're talking 10^183. Just put a computer in every 10^100 of those cubes, and we'll find Satoshi's key in no time.
Find the key in no time, but how much time for the information to reach us? If it's a cube close by, then great, but most of them would still be millions of light years away.