In the product 1 × 2 × 3 × The tail of x n has exactly 106 continuous zeros

In the product 1 × 2 × 3 × The tail of x n has exactly 106 continuous zeros

Because 5, 10, 15, 20, 25 At least one bit of the product of, 450 and other even numbers is 0450 △ 5 = 90, 450 △ 25 = 18, 90 + 18 = 108, that is, the product of continuous natural numbers is 1 × 2 × 3 × The tail of X 450 has 108 consecutive zeros, and 125 can contribute 3 zeros, so 1 × 2 × 3 × In x n, the maximum value of n is 444