1003431144 has 64 divisors (see below), whose sum is σ = 2572574400. Its totient is φ = 325979136.

The previous prime is 1003431067. The next prime is 1003431161. The reversal of 1003431144 is 4411343001.

It is a self number, because there is not a number n which added to its sum of digits gives 1003431144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 673152 + ... + 674640.

It is an arithmetic number, because the mean of its divisors is an integer number (40196475).

Almost surely, 2^1003431144 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 1003431144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286287200).

1003431144 is an abundant number, since it is smaller than the sum of its proper divisors (1569143256).

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

1003431144 is a wasteful number, since it uses less digits than its factorization.

1003431144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1003431144 is about 31676.9812955717. The cubic root of 1003431144 is about 1001.1424090712.

Adding to 1003431144 its reverse (4411343001), we get a palindrome (5414774145).

The spelling of 1003431144 in words is "one billion, three million, four hundred thirty-one thousand, one hundred forty-four".