14005144100 has 36 divisors (see below), whose sum is σ = 30401689584. Its totient is φ = 5600117280.

The previous prime is 14005144091. The next prime is 14005144103. The reversal of 14005144100 is 144150041.

It is a super-2 number, since 2×14005144100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14005144103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285587 + ... + 331013.

Almost surely, 2^14005144100 is an apocalyptic number.

14005144100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14005144100 is an abundant number, since it is smaller than the sum of its proper divisors (16396545484).

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

14005144100 is a wasteful number, since it uses less digits than its factorization.

14005144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48524 (or 48517 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 14005144100 its reverse (144150041), we get a palindrome (14149294141).

The spelling of 14005144100 in words is "fourteen billion, five million, one hundred forty-four thousand, one hundred".