240142304101311 has 24 divisors (see below), whose sum is σ = 349375930176000. Its totient is φ = 158939363752272.

The previous prime is 240142304101237. The next prime is 240142304101313. The reversal of 240142304101311 is 113101403241042.

It is a happy number.

240142304101311 is a `hidden beast` number, since 2 + 4 + 0 + 1 + 4 + 230 + 410 + 1 + 3 + 11 = 666.

It is not a de Polignac number, because 240142304101311 - 2¹⁴ = 240142304084927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240142304101313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51377170 + ... + 55856048.

It is an arithmetic number, because the mean of its divisors is an integer number (14557330424000).

Almost surely, 2^{240142304101311} is an apocalyptic number.

240142304101311 is a deficient number, since it is larger than the sum of its proper divisors (109233626074689).

240142304101311 is a wasteful number, since it uses less digits than its factorization.

240142304101311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521883 (or 4521880 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 240142304101311 its reverse (113101403241042), we get a palindrome (353243707342353).

The spelling of 240142304101311 in words is "two hundred forty trillion, one hundred forty-two billion, three hundred four million, one hundred one thousand, three hundred eleven".