Ruminating on the equation
13! + 288^2 = (288*274)^2
and on the equation for the age of the Universe
16! + 35750*29*2^14 = 35750^2*2^14
we note that we did not "do anything" with the numbers 13 and 16.
The following is just an observation:
(13/16)*35750*29*2^14 = 13,801,216,000
is well within the current scientific range, 13.798 ± 0.037 billion years.