if 2 ^ 4 , 3 ^ 3 , and 13 ^ 3 are factors of the product of 1,452 and w , where w is a positive integer , what is the smallest possible value of w ?
n0 = 2.0
n1 = 4.0
n2 = 3.0
n3 = 3.0
n4 = 13.0
n5 = 3.0
n6 = 1452.0
t0 = n0**min(n0, 5)
t1 = n2**min(n0, 5)
t2 = t0 * t1
answer = n4 * t2
print(answer)