201431211144 has 32 divisors (see below), whose sum is σ = 503642430720. Its totient is φ = 67135150016.

The previous prime is 201431211133. The next prime is 201431211151. The reversal of 201431211144 is 441112134102.

It is a happy number.

201431211144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343704 + ... + 721799.

It is an arithmetic number, because the mean of its divisors is an integer number (15738825960).

Almost surely, 2^201431211144 is an apocalyptic number.

201431211144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201431211144 is an abundant number, since it is smaller than the sum of its proper divisors (302211219576).

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

201431211144 is a wasteful number, since it uses less digits than its factorization.

201431211144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073389 (or 1073385 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 201431211144 its reverse (441112134102), we get a palindrome (642543345246).

The spelling of 201431211144 in words is "two hundred one billion, four hundred thirty-one million, two hundred eleven thousand, one hundred forty-four".