Find the prime factorization of the follwing numbers:
(write $p^0$ if a prime does not appear in the given number.)
$$90 = 2^a 3^b 5^c 7^d 11^e 13^f 17^g 19^h$$ where
$a =$ $b =$ $c =$ $d =$ $e =$ $f =$ $g =$ $h =$

$$19600 = 2^a 3^b 5^c 7^d 11^e 13^f 17^g 19^h$$ where
$a =$ $b =$ $c =$ $d =$ $e =$ $f =$ $g =$ $h =$

$$4114 = 2^a 3^b 5^c 7^d 11^e 13^f 17^g 19^h$$ where
$a =$ $b =$ $c =$ $d =$ $e =$ $f =$ $g =$ $h =$

$$537251 = 2^a 3^b 5^c 7^d 11^e 13^f 17^g 19^h$$ where
$a =$ $b =$ $c =$ $d =$ $e =$ $f =$ $g =$ $h =$