  We find a manifestly U-duality invariant formula for the Bekenstein-Hawking
entropy of the most general 4 dimensional, stationary, asymptoticaly flat,
non-extremal STU black holes constructed recently by Chow and Comp\`ere. The
expression is entirely in terms of asymptotic charges. It involves the "scalar
charges" of the black hole which still need to be solved in terms of the dyonic
charges and the mass. We discuss how the formula reduces to some of the known
results as the Klauza-Klein black hole and the dilute gas limit of Cveti\v{c}
and Larsen. We give the expected generalization to an $E_{7(7)}$ invariant in
the case of maximal $\mathcal{N}=8$ supergravity.
