(The radius of the universe) / (the Compton wavelength of an electron / 2pi)
= (the proton charge radius) / (the proton Schwarzschild radius).
https://www.wolframalpha.com/input/?i=%2813.831+billion+years++speed+of+light%29+%2F+%28Compton+wavelength+of+electron+%2F+%282pi%29%29
https://www.wolframalpha.com/input/?i=%288.414++10%5E-16+m%29+%2F+%282++G++proton+mass+%2F+c%5E2%29
They're identical