Huh so I've wondered how the Babylonian "base 60" system worked. Looking at the image in that article it's not base 60 at all! It's more like a mix of base 6 and base 10. The factor increase for the columns are not:

60x 60x 60x 60

The are

6x 10x 6x 10

Much simpler than it sounds from "base 60".