311240253240234 has 24 divisors (see below), whose sum is σ = 714021757434180. Its totient is φ = 97644001016448.

The previous prime is 311240253240229. The next prime is 311240253240239. The reversal of 311240253240234 is 432042352042113.

311240253240234 is a `hidden beast` number, since 3 + 1 + 1 + 2 + 402 + 5 + 3 + 240 + 2 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (311240253240229) and next prime (311240253240239).

It can be written as a sum of positive squares in 2 ways, for example, as 231604172791209 + 79636080449025 = 15218547^2 + 8923905^2 .

It is a super-2 number, since 2×311240253240234² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (311240253240239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 508562504989 + ... + 508562505600.

Almost surely, 2^{311240253240234} is an apocalyptic number.

311240253240234 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

311240253240234 is an abundant number, since it is smaller than the sum of its proper divisors (402781504193946).

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

311240253240234 is a wasteful number, since it uses less digits than its factorization.

311240253240234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017125010614 (or 1017125010611 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 311240253240234 in words is "three hundred eleven trillion, two hundred forty billion, two hundred fifty-three million, two hundred forty thousand, two hundred thirty-four".