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34122714199 = 743257441107
BaseRepresentation
bin11111110001110111…
…110100110001010111
310021002001220111001121
4133301313310301113
51024340403323244
623401544104411
72315410166530
oct376167646127
9107061814047
1034122714199
1113520423252
126743765107
1332aa550c62
141919bc3687
15d4aa3dc84
hex7f1df4c57

34122714199 has 16 divisors (see below), whose sum is σ = 40059664128. Its totient is φ = 28456630272.

The previous prime is 34122714179. The next prime is 34122714217. The reversal of 34122714199 is 99141722143.

It is a happy number.

It is not a de Polignac number, because 34122714199 - 25 = 34122714167 is a prime.

It is a super-3 number, since 3×341227141993 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34122714139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143197 + ... + 297910.

It is an arithmetic number, because the mean of its divisors is an integer number (2503729008).

Almost surely, 234122714199 is an apocalyptic number.

34122714199 is a deficient number, since it is larger than the sum of its proper divisors (5936949929).

34122714199 is a wasteful number, since it uses less digits than its factorization.

34122714199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441414.

The product of its digits is 108864, while the sum is 43.

The spelling of 34122714199 in words is "thirty-four billion, one hundred twenty-two million, seven hundred fourteen thousand, one hundred ninety-nine".

Divisors: 1 7 43 257 301 1799 11051 77357 441107 3087749 18967601 113364499 132773207 793551493 4874673457 34122714199