Some Relevant Constants



G (the universal gravitational constant) = 6.673-11 X 10 nt-m2/kg2.

rS (the Schwartzchild radius, in kilometers) = GM/c2 kilometers, where M is the mass, in kilograms, of the object whose Schwartzchild radius we're seeking = 1.4835 X M (kgs.) X 10-30 kilometers.

For the sun, rS = 2.95 kms., and M = 1.9885 X 1030 kgs.

c, the speed of light, = 299,792,458 meters/second = 2.998 X 10 kms./sec.
c2 = 8.996 X 1016 kms./sec.

The radius of the universe is variously sized as 12,000,000,000 to 14,000,000,000 light-years.

A light-year = 31,536,000 seconds X 299,792,458 meters/second = 9.4545 X 1015 meters = 9.4545 X 1012 kilometers.

12,000,000,000 light-years = 1.2 X 1010 light-years = 1.2 X 1010 X 0.94545 X 1013 kilometers = 1.1345 X 1023 kilometers.   

Taking 1.1345 X 1023 kilometers to be the Schwartzchild radius of the universe, its mass becomes

  1.1345 X 1023 /1.4835 X 10-30 = 7.64 X 1052 kilograms, or about 382 X 1020 solar masses.