201142583144 has 16 divisors (see below), whose sum is σ = 389308225920. Its totient is φ = 97327056240.

The previous prime is 201142583129. The next prime is 201142583153. The reversal of 201142583144 is 441385241102.

201142583144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 3 ways as a sum of consecutive naturals, for example, 405529154 + ... + 405529649.

It is an arithmetic number, because the mean of its divisors is an integer number (24331764120).

Almost surely, 2^201142583144 is an apocalyptic number.

It is an amenable number.

201142583144 is a deficient number, since it is larger than the sum of its proper divisors (188165642776).

201142583144 is a wasteful number, since it uses less digits than its factorization.

201142583144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811058840 (or 811058836 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The spelling of 201142583144 in words is "two hundred one billion, one hundred forty-two million, five hundred eighty-three thousand, one hundred forty-four".