1014312144 has 80 divisors (see below), whose sum is σ = 2759644800. Its totient is φ = 320398848.

The previous prime is 1014312119. The next prime is 1014312179. The reversal of 1014312144 is 4412134101.

1014312144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1014312144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116122 + ... + 124550.

It is an arithmetic number, because the mean of its divisors is an integer number (34495560).

Almost surely, 2^1014312144 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 1014312144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379822400).

1014312144 is an abundant number, since it is smaller than the sum of its proper divisors (1745332656).

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

1014312144 is a wasteful number, since it uses less digits than its factorization.

1014312144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8572 (or 8566 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1014312144 is about 31848.2675195999. The cubic root of 1014312144 is about 1004.7481342063.

Adding to 1014312144 its reverse (4412134101), we get a palindrome (5426446245).

The spelling of 1014312144 in words is "one billion, fourteen million, three hundred twelve thousand, one hundred forty-four".