242073577431 has 32 divisors (see below), whose sum is σ = 423993139200. Its totient is φ = 133557832800.

The previous prime is 242073577429. The next prime is 242073577517. The reversal of 242073577431 is 134775370242.

242073577431 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 73 + 577 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 242073577431 - 2¹ = 242073577429 is a prime.

It is a super-2 number, since 2×242073577431² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242073577331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22077495 + ... + 22088456.

It is an arithmetic number, because the mean of its divisors is an integer number (13249785600).

Almost surely, 2^242073577431 is an apocalyptic number.

242073577431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242073577431 is a deficient number, since it is larger than the sum of its proper divisors (181919561769).

242073577431 is a wasteful number, since it uses less digits than its factorization.

242073577431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44165996 (or 44165990 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 242073577431 in words is "two hundred forty-two billion, seventy-three million, five hundred seventy-seven thousand, four hundred thirty-one".