242436144 has 40 divisors (see below), whose sum is σ = 627002032. Its totient is φ = 80720640.

The previous prime is 242436121. The next prime is 242436197. The reversal of 242436144 is 441634242.

242436144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50154 + ... + 54774.

Almost surely, 2^242436144 is an apocalyptic number.

242436144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242436144 is an abundant number, since it is smaller than the sum of its proper divisors (384565888).

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

242436144 is a wasteful number, since it uses less digits than its factorization.

242436144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5725 (or 5719 counting only the distinct ones).

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

The square root of 242436144 is about 15570.3610748113. The cubic root of 242436144 is about 623.5421114886.

The spelling of 242436144 in words is "two hundred forty-two million, four hundred thirty-six thousand, one hundred forty-four".