242320004013144 has 32 divisors (see below), whose sum is σ = 606394514520000. Its totient is φ = 80694067406112.

The previous prime is 242320004013119. The next prime is 242320004013151. The reversal of 242320004013144 is 441310400023242.

It is a super-3 number, since 3×242320004013144³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4954179094 + ... + 4954228005.

It is an arithmetic number, because the mean of its divisors is an integer number (18949828578750).

Almost surely, 2^{242320004013144} is an apocalyptic number.

242320004013144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242320004013144 is an abundant number, since it is smaller than the sum of its proper divisors (364074510506856).

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

242320004013144 is a wasteful number, since it uses less digits than its factorization.

242320004013144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9908408127 (or 9908408123 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 242320004013144 its reverse (441310400023242), we get a palindrome (683630404036386).

The spelling of 242320004013144 in words is "two hundred forty-two trillion, three hundred twenty billion, four million, thirteen thousand, one hundred forty-four".