242004144 has 40 divisors (see below), whose sum is σ = 629033152. Its totient is φ = 80170560.

The previous prime is 242004131. The next prime is 242004151. The reversal of 242004144 is 441400242.

It is a self number, because there is not a number n which added to its sum of digits gives 242004144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7642 + ... + 23289.

Almost surely, 2^242004144 is an apocalyptic number.

242004144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242004144 is an abundant number, since it is smaller than the sum of its proper divisors (387029008).

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

242004144 is a wasteful number, since it uses less digits than its factorization.

242004144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31105 (or 31099 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 242004144 is about 15556.4823787385. The cubic root of 242004144 is about 623.1715254526.

Adding to 242004144 its reverse (441400242), we get a palindrome (683404386).

The spelling of 242004144 in words is "two hundred forty-two million, four thousand, one hundred forty-four".