14242630144 has 40 divisors (see below), whose sum is σ = 28579816980. Its totient is φ = 7090692096.

The previous prime is 14242630117. The next prime is 14242630153. The reversal of 14242630144 is 44103624241.

It can be written as a sum of positive squares in 2 ways, for example, as 13735840000 + 506790144 = 117200^2 + 22512^2 .

It is a super-3 number, since 3×14242630144³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 59602 + ... + 178990.

Almost surely, 2^14242630144 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 14242630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14289908490).

14242630144 is an abundant number, since it is smaller than the sum of its proper divisors (14337186836).

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

14242630144 is an equidigital number, since it uses as much as digits as its factorization.

14242630144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119640 (or 119624 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The spelling of 14242630144 in words is "fourteen billion, two hundred forty-two million, six hundred thirty thousand, one hundred forty-four".