Elon Musk is Officially Single

Elon Musk is a single man again ... divorced a second time from the same woman ... TMZ has learned.

The judge in Elon and Talulah's divorce just signed legal docs making the dissolution official.

The fact there's a settlement makes it clear ... the 2 had a prenup that gives her a lump sum payment in exchange for waving all support.

Elon filed for divorce in 2014 but withdrew the docs 6 months later. At the time we were told the couple had a prenup that would have scored her $16 mil. The new docs don't give an amount.

This time around Talulah filed divorce docs in March.