1003042144 has 96 divisors (see below), whose sum is σ = 2248888320. Its totient is φ = 436879872.

The previous prime is 1003042141. The next prime is 1003042151. The reversal of 1003042144 is 4412403001.

1003042144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1003042144³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003042141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 755209 + ... + 756535.

It is an arithmetic number, because the mean of its divisors is an integer number (23425920).

Almost surely, 2^1003042144 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 1003042144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124444160).

1003042144 is an abundant number, since it is smaller than the sum of its proper divisors (1245846176).

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

1003042144 is a wasteful number, since it uses less digits than its factorization.

1003042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1003042144 is about 31670.8405950963. The cubic root of 1003042144 is about 1001.0130214410.

Adding to 1003042144 its reverse (4412403001), we get a palindrome (5415445145).

The spelling of 1003042144 in words is "one billion, three million, forty-two thousand, one hundred forty-four".