31142331144 has 160 divisors (see below), whose sum is σ = 92635915680. Its totient is φ = 9740791296.

The previous prime is 31142331113. The next prime is 31142331179. The reversal of 31142331144 is 44113324113.

31142331144 is a `hidden beast` number, since 311 + 4 + 2 + 331 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3818479 + ... + 3826625.

It is an arithmetic number, because the mean of its divisors is an integer number (578974473).

Almost surely, 2^31142331144 is an apocalyptic number.

31142331144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31142331144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46317957840).

31142331144 is an abundant number, since it is smaller than the sum of its proper divisors (61493584536).

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

31142331144 is a wasteful number, since it uses less digits than its factorization.

31142331144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8529 (or 8516 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 31142331144 its reverse (44113324113), we get a palindrome (75255655257).

The spelling of 31142331144 in words is "thirty-one billion, one hundred forty-two million, three hundred thirty-one thousand, one hundred forty-four".