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34105324143 = 3112127973459
BaseRepresentation
bin11111110000110101…
…011111001001101111
310021000212011222101110
4133300311133021233
51024321430333033
623400123243103
72315106320622
oct376065371157
9107025158343
1034105324143
1113511625900
126739979493
1332a6a72797
141917777db9
15d49256363
hex7f0d5f26f

34105324143 has 24 divisors (see below), whose sum is σ = 50023321600. Its totient is φ = 20653451280.

The previous prime is 34105324087. The next prime is 34105324153. The reversal of 34105324143 is 34142350143.

It is not a de Polignac number, because 34105324143 - 29 = 34105323631 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34105324143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34105324153) 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, 427548 + ... + 501006.

Almost surely, 234105324143 is an apocalyptic number.

34105324143 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34105324143 is a deficient number, since it is larger than the sum of its proper divisors (15917997457).

34105324143 is a wasteful number, since it uses less digits than its factorization.

34105324143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74763 (or 74752 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 34105324143 its reverse (34142350143), we get a palindrome (68247674286).

The spelling of 34105324143 in words is "thirty-four billion, one hundred five million, three hundred twenty-four thousand, one hundred forty-three".

Divisors: 1 3 11 33 121 363 1279 3837 14069 42207 73459 154759 220377 464277 808049 2424147 8888539 26665617 93954061 281862183 1033494671 3100484013 11368441381 34105324143