You're still having problems with your billions.

Taking your figures, 14 billion is 14 x 10^9.

Light travels at about 186,000 miles/second.

There are about 31.55 million seconds in a year, thus light travels about 5.87 x 10^12 miles/year.

5.87x 10^12 x 14 x 10^9 = 8.218 x 10^22 miles.

In fact, according to

http://en.wikipedia.org/wiki/Age_of_the_Universe, the age of the universe is 13.7 × 10^9 years.

Thus the figures would be 13.7 x 10^9 x 5.87 x 10^12 = 8.0419 x 10^22.

**G***eorge*