34143514000 has 80 divisors (see below), whose sum is σ = 87415516656. Its totient is φ = 12854016000.

The previous prime is 34143513991. The next prime is 34143514003. The reversal of 34143514000 is 41534143.

It can be written as a sum of positive squares in 8 ways, for example, as 5725646224 + 28417867776 = 75668^2 + 168576^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (34143514003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 468111 + ... + 536110.

Almost surely, 2^34143514000 is an apocalyptic number.

It is an amenable number.

34143514000 is an abundant number, since it is smaller than the sum of its proper divisors (53272002656).

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

34143514000 is a wasteful number, since it uses less digits than its factorization.

34143514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004261 (or 1004245 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 34143514000 in words is "thirty-four billion, one hundred forty-three million, five hundred fourteen thousand".