14182428100 has 27 divisors (see below), whose sum is σ = 30778453447. Its totient is φ = 5672494880.

The previous prime is 14182428067. The next prime is 14182428119. The reversal of 14182428100 is 182428141.

The square root of 14182428100 is 119090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1306533316 + 12875894784 = 36146^2 + 113472^2 .

It is a super-2 number, since 2×14182428100² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1184946 + ... + 1196854.

Almost surely, 2^14182428100 is an apocalyptic number.

14182428100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14182428100 is the 119090-th square number.

It is an amenable number.

14182428100 is an abundant number, since it is smaller than the sum of its proper divisors (16596025347).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14182428100 is an frugal number, since it uses more digits than its factorization.

14182428100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23832 (or 11916 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

Multiplying 14182428100 by its product of nonzero digits (4096), we get a square (58091225497600 = 7621760²).

It can be divided in two parts, 141 and 82428100, that added together give a square (82428241 = 9079²).

The spelling of 14182428100 in words is "fourteen billion, one hundred eighty-two million, four hundred twenty-eight thousand, one hundred".