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34113631143 = 397208156333
BaseRepresentation
bin11111110001010101…
…001011001110100111
310021001102211000110010
4133301111023032213
51024331042144033
623401021301303
72315240036364
oct376125131647
9107042730403
1034113631143
1113516289a99
126740704833
1332a86c0877
1419188db46b
15d49d47863
hex7f154b3a7

34113631143 has 16 divisors (see below), whose sum is σ = 45976656096. Its totient is φ = 22496747520.

The previous prime is 34113631127. The next prime is 34113631171.

34113631143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34113631143 - 24 = 34113631127 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34113631143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34113631183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 577405 + ... + 633737.

It is an arithmetic number, because the mean of its divisors is an integer number (2873541006).

Almost surely, 234113631143 is an apocalyptic number.

34113631143 is a deficient number, since it is larger than the sum of its proper divisors (11863024953).

34113631143 is a wasteful number, since it uses less digits than its factorization.

34113631143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58514.

The product of its digits is 7776, while the sum is 30.

The spelling of 34113631143 in words is "thirty-four billion, one hundred thirteen million, six hundred thirty-one thousand, one hundred forty-three".

Divisors: 1 3 97 291 2081 6243 56333 168999 201857 605571 5464301 16392903 117228973 351686919 11371210381 34113631143