3142242144 has 72 divisors (see below), whose sum is σ = 8941448880. Its totient is φ = 1046746368.

The previous prime is 3142242127. The next prime is 3142242161. The reversal of 3142242144 is 4412422413.

It is an interprime number because it is at equal distance from previous prime (3142242127) and next prime (3142242161).

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 685749 + ... + 690315.

It is an arithmetic number, because the mean of its divisors is an integer number (124186790).

Almost surely, 2^3142242144 is an apocalyptic number.

It is an amenable number.

3142242144 is an abundant number, since it is smaller than the sum of its proper divisors (5799206736).

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

3142242144 is a wasteful number, since it uses less digits than its factorization.

3142242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6972 (or 6961 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 3142242144 is about 56055.7057220761. The cubic root of 3142242144 is about 1464.6928101344.

Adding to 3142242144 its reverse (4412422413), we get a palindrome (7554664557).

The spelling of 3142242144 in words is "three billion, one hundred forty-two million, two hundred forty-two thousand, one hundred forty-four".