153441442024 has 16 divisors (see below), whose sum is σ = 309833681220. Its totient is φ = 70819127040.

The previous prime is 153441442019. The next prime is 153441442031. The reversal of 153441442024 is 420244144351.

153441442024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 106647964900 + 46793477124 = 326570^2 + 216318^2 .

It is a super-2 number, since 2×153441442024² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 737699137 + ... + 737699344.

Almost surely, 2^153441442024 is an apocalyptic number.

It is an amenable number.

153441442024 is an abundant number, since it is smaller than the sum of its proper divisors (156392239196).

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

153441442024 is a wasteful number, since it uses less digits than its factorization.

153441442024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475398500 (or 1475398496 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 153441442024 its reverse (420244144351), we get a palindrome (573685586375).

The spelling of 153441442024 in words is "one hundred fifty-three billion, four hundred forty-one million, four hundred forty-two thousand, twenty-four".