14044620100 has 81 divisors (see below), whose sum is σ = 35473586967. Its totient is φ = 4812454080.

The previous prime is 14044620067. The next prime is 14044620133. The reversal of 14044620100 is 102644041.

The square root of 14044620100 is 118510.

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

14044620100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14044620067) and next prime (14044620133).

It can be written as a sum of positive squares in 4 ways, for example, as 942612804 + 13102007296 = 30702^2 + 114464^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8294854 + ... + 8296546.

Almost surely, 2^14044620100 is an apocalyptic number.

14044620100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14044620100 is the 118510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14044620100

14044620100 is an abundant number, since it is smaller than the sum of its proper divisors (21428966867).

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

14044620100 is an equidigital number, since it uses as much as digits as its factorization.

14044620100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The spelling of 14044620100 in words is "fourteen billion, forty-four million, six hundred twenty thousand, one hundred".