312142440243330 has 48 divisors (see below), whose sum is σ = 819605694603384. Its totient is φ = 82413845606400.

The previous prime is 312142440243251. The next prime is 312142440243353. The reversal of 312142440243330 is 33342044241213.

312142440243330 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 42 + 4 + 40 + 243 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 256822002794889 + 55320437448441 = 16025667^2 + 7437771^2 .

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 23 ways as a sum of consecutive naturals, for example, 17169542079 + ... + 17169560258.

Almost surely, 2^{312142440243330} is an apocalyptic number.

312142440243330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312142440243330 is an abundant number, since it is smaller than the sum of its proper divisors (507463254360054).

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

312142440243330 is a wasteful number, since it uses less digits than its factorization.

312142440243330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34339102451 (or 34339102448 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 312142440243330 its reverse (33342044241213), we get a palindrome (345484484484543).

The spelling of 312142440243330 in words is "three hundred twelve trillion, one hundred forty-two billion, four hundred forty million, two hundred forty-three thousand, three hundred thirty".