You mathematical experts help! Half, one third, two fifths, three eighths, five thirteenth, eight twenty-one fill out the last two

You mathematical experts help! Half, one third, two fifths, three eighths, five thirteenth, eight twenty-one fill out the last two

thirteen-thirty-fourths
twenty-one-fifty-fifths

It is known that there are 31 continuous zeros in the tail of 1 ×... × n, which is the product of N consecutive natural numbers from 1. What is the maximum value of N?

31 = 25+5+1
25×5 = 125 ＜ 130
The maximum is 129
The maximum value of n is 129

Given that 14 is the sum of several natural numbers, what is the maximum value of the product of these natural numbers?

2^7
3 ^ 4 * 2 -------- max = 162
4^3*2=2^7
5^2*4
6^2*2