Hate to be the choosing beggar, and I appreciate all the answers, but ... everyone is answering about how long that 70 digit job would take now, when what I meant was, how big a number could you factor “overnight” with similar cost hardware.
The purpose of the FaaS (Factoring as a Service) project is to demonstrate that 512-bit integers can be factored in only a few hours, for less than $100 of compute time in a public cloud environment.