34014177141043 has 8 divisors (see below), whose sum is σ = 37576076014080. Its totient is φ = 30530561759880.

The previous prime is 34014177140989. The next prime is 34014177141121.

34014177141043 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34014177141043 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34014177140987 and 34014177141005.

It is not an unprimeable number, because it can be changed into a prime (34014177151043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19570872055 + ... + 19570873792.

It is an arithmetic number, because the mean of its divisors is an integer number (4697009501760).

Almost surely, 2^{34014177141043} is an apocalyptic number.

34014177141043 is a deficient number, since it is larger than the sum of its proper divisors (3561898873037).

34014177141043 is a wasteful number, since it uses less digits than its factorization.

34014177141043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39141745937.

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 34014177141043 in words is "thirty-four trillion, fourteen billion, one hundred seventy-seven million, one hundred forty-one thousand, forty-three".