Find the sum of all positive integers m such that 2^{m} can be expressed as a sum of four factorials (of positive integers).
Note: The factorials do not have to be distinct. For example, 2^{4}=16 counts, because it equals 3!+3!+2!+2!
Find the sum of all positive integers m such that 2^{m} can be expressed as a sum of four factorials (of positive integers).
Note: The factorials do not have to be distinct. For example, 2^{4}=16 counts, because it equals 3!+3!+2!+2!