31014144 has 144 divisors (see below), whose sum is σ = 104979840. Its totient is φ = 8847360.

The previous prime is 31014131. The next prime is 31014161. The reversal of 31014144 is 44141013.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48064 + ... + 48704.

Almost surely, 2^31014144 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 31014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52489920).

31014144 is an abundant number, since it is smaller than the sum of its proper divisors (73965696).

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

31014144 is an equidigital number, since it uses as much as digits as its factorization.

31014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 31014144 is about 5569.0343866778. The cubic root of 31014144 is about 314.1858339835.

Adding to 31014144 its reverse (44141013), we get a palindrome (75155157).

The spelling of 31014144 in words is "thirty-one million, fourteen thousand, one hundred forty-four".