I have seen that there are

1,461,501,637,330,902,918,203,684,832,716,283,019,655,932,542,976

Bitcoin addresses.

If I wrote a computer program that generates private btc addresses and then generated the public address, if that public address has a balance, and if I then imported that private address into a wallet, could I claim the money on that wallet?

How many addresses would nee to be checked before I found an address with a balance?

Thanks.