1003142431004 has 24 divisors (see below), whose sum is σ = 2015123134080. Its totient is φ = 428024269296.

The previous prime is 1003142431003. The next prime is 1003142431051. The reversal of 1003142431004 is 4001342413001.

It is a super-2 number, since 2×1003142431004² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003142431003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78906674 + ... + 78919385.

It is an arithmetic number, because the mean of its divisors is an integer number (83963463920).

Almost surely, 2^{1003142431004} is an apocalyptic number.

1003142431004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1003142431004 is an abundant number, since it is smaller than the sum of its proper divisors (1011980703076).

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

1003142431004 is a wasteful number, since it uses less digits than its factorization.

1003142431004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157826297 (or 157826295 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1003142431004 its reverse (4001342413001), we get a palindrome (5004484844005).

The spelling of 1003142431004 in words is "one trillion, three billion, one hundred forty-two million, four hundred thirty-one thousand, four".