242514142353313 has 8 divisors (see below), whose sum is σ = 256780971380232. Its totient is φ = 228247456797696.

The previous prime is 242514142353283. The next prime is 242514142353341. The reversal of 242514142353313 is 313353241415242.

It can be written as a sum of positive squares in 4 ways, for example, as 146214698573329 + 96299443779984 = 12091927^2 + 9813228^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 242514142353313 - 2⁵ = 242514142353281 is a prime.

It is a super-3 number, since 3×242514142353313³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 242514142353313.

It is not an unprimeable number, because it can be changed into a prime (242514142353013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32378020 + ... + 39158197.

It is an arithmetic number, because the mean of its divisors is an integer number (32097621422529).

Almost surely, 2^{242514142353313} is an apocalyptic number.

It is an amenable number.

242514142353313 is a deficient number, since it is larger than the sum of its proper divisors (14266829026919).

242514142353313 is a wasteful number, since it uses less digits than its factorization.

242514142353313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71735651.

The product of its digits is 1036800, while the sum is 43.

Adding to 242514142353313 its reverse (313353241415242), we get a palindrome (555867383768555).

The spelling of 242514142353313 in words is "two hundred forty-two trillion, five hundred fourteen billion, one hundred forty-two million, three hundred fifty-three thousand, three hundred thirteen".