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34143672951 = 3241293315803
BaseRepresentation
bin11111110011000111…
…110001101001110111
310021010112100022001200
4133303013301221313
51024411240013301
623404013223543
72316053301003
oct376307615167
9107115308050
1034143672951
1113531238933
12674a791bb3
1332b19ab89b
14191c8bb703
15d4c7cdc86
hex7f31f1a77

34143672951 has 24 divisors (see below), whose sum is σ = 50694121296. Its totient is φ = 22131404160.

The previous prime is 34143672949. The next prime is 34143672971. The reversal of 34143672951 is 15927634143.

It is not a de Polignac number, because 34143672951 - 21 = 34143672949 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34143672897 and 34143672906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34143672971) 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 23 ways as a sum of consecutive naturals, for example, 49785 + ... + 266018.

It is an arithmetic number, because the mean of its divisors is an integer number (2112255054).

Almost surely, 234143672951 is an apocalyptic number.

34143672951 is a deficient number, since it is larger than the sum of its proper divisors (16550448345).

34143672951 is a wasteful number, since it uses less digits than its factorization.

34143672951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316143 (or 316140 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 34143672951 in words is "thirty-four billion, one hundred forty-three million, six hundred seventy-two thousand, nine hundred fifty-one".

Divisors: 1 3 9 41 123 293 369 879 2637 12013 36039 108117 315803 947409 2842227 12947923 38843769 92530279 116531307 277590837 832772511 3793741439 11381224317 34143672951