242136631242 has 96 divisors (see below), whose sum is σ = 584402532480. Its totient is φ = 71840770560.

The previous prime is 242136631207. The next prime is 242136631327.

242136631242 is a `hidden beast` number, since 2 + 4 + 2 + 13 + 6 + 631 + 2 + 4 + 2 = 666.

242136631242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 242136631197 and 242136631206.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1919059 + ... + 2041337.

It is an arithmetic number, because the mean of its divisors is an integer number (6087526380).

Almost surely, 2^242136631242 is an apocalyptic number.

242136631242 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 242136631242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292201266240).

242136631242 is an abundant number, since it is smaller than the sum of its proper divisors (342265901238).

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

242136631242 is a wasteful number, since it uses less digits than its factorization.

242136631242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122508 (or 122505 counting only the distinct ones).

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

It can be divided in two parts, 242136 and 631242, that added together give a palindrome (873378).

The spelling of 242136631242 in words is "two hundred forty-two billion, one hundred thirty-six million, six hundred thirty-one thousand, two hundred forty-two".