241433113040100 has 54 divisors (see below), whose sum is σ = 756758679876290. Its totient is φ = 64382163477120.

The previous prime is 241433113040081. The next prime is 241433113040129. The reversal of 241433113040100 is 1040311334142.

241433113040100 is a `hidden beast` number, since 2 + 4 + 1 + 43 + 311 + 304 + 0 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 31891681041984 + 209541431998116 = 5647272^2 + 14475546^2 .

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 17 ways as a sum of consecutive naturals, for example, 134129506345 + ... + 134129508144.

Almost surely, 2^{241433113040100} is an apocalyptic number.

241433113040100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241433113040100 is an abundant number, since it is smaller than the sum of its proper divisors (515325566836190).

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

241433113040100 is a wasteful number, since it uses less digits than its factorization.

241433113040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268259014509 (or 268259014499 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 241433113040100 its reverse (1040311334142), we get a palindrome (242473424374242).

The spelling of 241433113040100 in words is "two hundred forty-one trillion, four hundred thirty-three billion, one hundred thirteen million, forty thousand, one hundred".