31782144141 has 48 divisors (see below), whose sum is σ = 51394150080. Its totient is φ = 18762082560.

The previous prime is 31782144137. The next prime is 31782144307. The reversal of 31782144141 is 14144128713.

31782144141 is a `hidden beast` number, since 3 + 178 + 2 + 1 + 441 + 41 = 666.

It is not a de Polignac number, because 31782144141 - 2² = 31782144137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31782144096 and 31782144105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31782145141) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 707545 + ... + 751121.

It is an arithmetic number, because the mean of its divisors is an integer number (1070711460).

Almost surely, 2^31782144141 is an apocalyptic number.

It is an amenable number.

31782144141 is a deficient number, since it is larger than the sum of its proper divisors (19612005939).

31782144141 is a wasteful number, since it uses less digits than its factorization.

31782144141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43786 (or 43783 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The spelling of 31782144141 in words is "thirty-one billion, seven hundred eighty-two million, one hundred forty-four thousand, one hundred forty-one".