Let A be the greatest possible value of a product of positive integers that sums to 2014 . Compute the sum of all bases and exponents in the prime factorization of A. For example, if A=7 \cdot 11^{5}, the answer would be 7+11+5=23.
Let A be the greatest possible value of a product of positive integers that sums to 2014 . Compute the sum of all bases and exponents in the prime factorization of A. For example, if A=7 \cdot 11^{5}, the answer would be 7+11+5=23.