Use the supplied atomic masses consistently. Their mass defect per four hydrogen atoms is atomic mass units. The conversion efficiency is
The atomic-mass bookkeeping includes the associated positron-annihilation energy; an exact photon-heating budget also subtracts energy carried away by neutrinos. With the stated ten-percent fuel fraction and constant present solar luminosity, the main sequence lifetime estimate is
The much longer timescale explains why stellar nuclear fusion can power the Sun throughout its long main-sequence history.
The radiation registered in the stated solar luminosity includes two Positron annihilations but excludes the two escaping neutrinos. Thus the visible energy per completed helium-producing chain is
The signs in this energy ledger matter: adding the neutrino energy would overestimate the energy available to sustain the measured radiation. Using J, the chain rate and hydrogen-consumption rate are
With a year taken as days, the stated elapsed time is s. Consequently,
At the same fixed luminosity, the remaining time would be
Only about of the stipulated initial reservoir has been consumed under these assumptions. This is a calculation for an entirely accessible hydrogen reservoir with constant luminosity. It is not a prediction of the Sun's remaining main-sequence lifetime: only part of the hydrogen participates in core burning, and stellar structure and luminosity evolve.