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34042430993 = 831912147381
BaseRepresentation
bin11111101101000101…
…100100011000010001
310020212110211200012112
4133231011210120101
51024204330242433
623345555235105
72313413613644
oct375505443021
9106773750175
1034042430993
111348a07929a
1267208a8a95
133296a219bc
14190d285a5b
15d43981348
hex7ed164611

34042430993 has 8 divisors (see below), whose sum is σ = 34632976896. Its totient is φ = 33456180400.

The previous prime is 34042430987. The next prime is 34042431001. The reversal of 34042430993 is 39903424043.

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

It is a cyclic number.

It is not a de Polignac number, because 34042430993 - 24 = 34042430977 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34042430993.

It is not an unprimeable number, because it can be changed into a prime (34042430953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1057838 + ... + 1089543.

It is an arithmetic number, because the mean of its divisors is an integer number (4329122112).

Almost surely, 234042430993 is an apocalyptic number.

It is an amenable number.

34042430993 is a deficient number, since it is larger than the sum of its proper divisors (590545903).

34042430993 is a wasteful number, since it uses less digits than its factorization.

34042430993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147655.

The product of its (nonzero) digits is 279936, while the sum is 41.

The spelling of 34042430993 in words is "thirty-four billion, forty-two million, four hundred thirty thousand, nine hundred ninety-three".

Divisors: 1 83 191 15853 2147381 178232623 410149771 34042430993