242631136242 has 72 divisors (see below), whose sum is σ = 578791519488. Its totient is φ = 73403058960.

The previous prime is 242631136229. The next prime is 242631136289.

242631136242 is a `hidden beast` number, since 2 + 4 + 2 + 631 + 13 + 6 + 2 + 4 + 2 = 666.

242631136242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 242631136197 and 242631136206.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1230283 + ... + 1413809.

It is an arithmetic number, because the mean of its divisors is an integer number (8038771104).

Almost surely, 2^242631136242 is an apocalyptic number.

242631136242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 242631136242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289395759744).

242631136242 is an abundant number, since it is smaller than the sum of its proper divisors (336160383246).

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

242631136242 is a wasteful number, since it uses less digits than its factorization.

242631136242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184164 (or 184150 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 242631 and 136242, that added together give a palindrome (378873).

The spelling of 242631136242 in words is "two hundred forty-two billion, six hundred thirty-one million, one hundred thirty-six thousand, two hundred forty-two".