34142512505010 has 192 divisors, whose sum is σ = 108691045368192. Its totient is φ = 6779948120064.

The previous prime is 34142512505009. The next prime is 34142512505033. The reversal of 34142512505010 is 1050521524143.

It is a super-2 number, since 2×34142512505010² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52223092 + ... + 52872831.

It is an arithmetic number, because the mean of its divisors is an integer number (566099194626).

Almost surely, 2^{34142512505010} is an apocalyptic number.

34142512505010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34142512505010 is an abundant number, since it is smaller than the sum of its proper divisors (74548532863182).

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

34142512505010 is a wasteful number, since it uses less digits than its factorization.

34142512505010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105095977 (or 105095970 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 34142512505010 in words is "thirty-four trillion, one hundred forty-two billion, five hundred twelve million, five hundred five thousand, ten".