Solve prod_n=1^15(3n)!/100

$$\prod _ { n = 1 } ^ { 15 } \frac { ( 3 n ) ! } { 100 }$$

Evaluate

$$6374011051219514058662294716421570750521265667713016511102792967402923262101921052939909328448521336700164447020472384104381632987733485652047774380609022444136934387852747752605155383447609031465062951130180549392929802734265026546673121378675170903326487307077830129516939135593941521316468500044975471329280000000000000000000000000000000000000000000$$

Factor

$$2^{288}\times 3^{162}\times 5^{43}\times 7^{45}\times 11^{26}\times 13^{21}\times 17^{14}\times 19^{12}\times 23^{8}\times 29^{6}\times 31^{5}\times 37^{3}\times 41^{2}\times 43$$