Regarding the equation
13! + 288^2 = (288*274)^2
and the equation for the age of the Universe
16! + 35750*29*2^14 = 35750^2*2^14
a further rumination. If we approximate 13/16 by (288/320)^2, in terms of sparks of holiness, following Arizal, we find for the age of the Universe:
(288/320)^2*35750*29*2^14 = 13,758,750,720
Keeping only signifant numbers, the age would be 13.759 billion years, just at the lower boundary of the current scientific range, 13.798 ± 0.037 billion years.
The value (13/16)*35750 is very close to 29,000. Assuming this value, "breaking" both 13/16 and 288/320, we get:
29000*29*2^14 = 13,778,944,000
In short notation, the universe would be 29^2*2^14 kiloyears. Alternatively, this is 71471^2*2^14 - 4*16! kiloyears. Perhaps this means that the Universe, long as it seems, is only the last stretch of
71471^2*2^14 = 83,691,173,330,944 kiloyears.
That is 83.7 trillion kiloyears. Anyway, 29^2*2^14 kiloyears is 13.779 billion years, well within the scientific range.