14002144 has 48 divisors (see below), whose sum is σ = 30079728. Its totient is φ = 6377472.

The previous prime is 14002141. The next prime is 14002187. The reversal of 14002144 is 44120041.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14002141) 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 7 ways as a sum of consecutive naturals, for example, 40179 + ... + 40525.

It is an arithmetic number, because the mean of its divisors is an integer number (626661).

Almost surely, 2^14002144 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 14002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15039864).

14002144 is an abundant number, since it is smaller than the sum of its proper divisors (16077584).

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

14002144 is a wasteful number, since it uses less digits than its factorization.

14002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 14002144 is about 3741.9438798571. The cubic root of 14002144 is about 241.0265289919.

Adding to 14002144 its reverse (44120041), we get a palindrome (58122185).

The spelling of 14002144 in words is "fourteen million, two thousand, one hundred forty-four".