242414434120313 has 128 divisors (see below), whose sum is σ = 319321460097024. Its totient is φ = 178815950438400.

The previous prime is 242414434120259. The next prime is 242414434120337. The reversal of 242414434120313 is 313021434414242.

It is not a de Polignac number, because 242414434120313 - 2⁶ = 242414434120249 is a prime.

It is a super-2 number, since 2×242414434120313² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242414434120343) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10240976468 + ... + 10241000138.

It is an arithmetic number, because the mean of its divisors is an integer number (2494698907008).

Almost surely, 2^{242414434120313} is an apocalyptic number.

242414434120313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

242414434120313 is a deficient number, since it is larger than the sum of its proper divisors (76907025976711).

242414434120313 is a wasteful number, since it uses less digits than its factorization.

242414434120313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24575.

The product of its (nonzero) digits is 221184, while the sum is 38.

Adding to 242414434120313 its reverse (313021434414242), we get a palindrome (555435868534555).

The spelling of 242414434120313 in words is "two hundred forty-two trillion, four hundred fourteen billion, four hundred thirty-four million, one hundred twenty thousand, three hundred thirteen".