14042250144 has 144 divisors (see below), whose sum is σ = 43191642312. Its totient is φ = 4301881344.

The previous prime is 14042250139. The next prime is 14042250149. The reversal of 14042250144 is 44105224041.

14042250144 is a `hidden beast` number, since 1 + 404 + 2 + 250 + 1 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (14042250139) and next prime (14042250149).

It can be written as a sum of positive squares in 4 ways, for example, as 8097840144 + 5944410000 = 89988^2 + 77100^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (14042250149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 864304 + ... + 880400.

Almost surely, 2^14042250144 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 14042250144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21595821156).

14042250144 is an abundant number, since it is smaller than the sum of its proper divisors (29149392168).

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

14042250144 is a wasteful number, since it uses less digits than its factorization.

14042250144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16359 (or 16348 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 14042250144 its reverse (44105224041), we get a palindrome (58147474185).

The spelling of 14042250144 in words is "fourteen billion, forty-two million, two hundred fifty thousand, one hundred forty-four".