14124144 has 80 divisors (see below), whose sum is σ = 40711680. Its totient is φ = 4193280.

The previous prime is 14124119. The next prime is 14124181. The reversal of 14124144 is 44142141.

It is a super-3 number, since 3×14124144³ (a number of 22 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 14124144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15049 + ... + 15959.

It is an arithmetic number, because the mean of its divisors is an integer number (508896).

Almost surely, 2^14124144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20355840).

14124144 is an abundant number, since it is smaller than the sum of its proper divisors (26587536).

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

14124144 is a wasteful number, since it uses less digits than its factorization.

14124144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 952 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 14124144 is about 3758.2102123218. The cubic root of 14124144 is about 241.7245231803.

Adding to 14124144 its reverse (44142141), we get a palindrome (58266285).

The spelling of 14124144 in words is "fourteen million, one hundred twenty-four thousand, one hundred forty-four".