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34105851417 = 3111033510649
BaseRepresentation
bin11111110000110111…
…011111111000011001
310021000220011202200010
4133300313133320121
51024322044221132
623400142432133
72315113645101
oct376067377031
9107026152603
1034105851417
1113511955a70
126739b92649
1332a6bc8791
141917874201
15d4930c6cc
hex7f0ddfe19

34105851417 has 8 divisors (see below), whose sum is σ = 49608511200. Its totient is φ = 20670212960.

The previous prime is 34105851407. The next prime is 34105851431. The reversal of 34105851417 is 71415850143.

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 34105851417 - 222 = 34101657113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34105851407) 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 7 ways as a sum of consecutive naturals, for example, 516755292 + ... + 516755357.

It is an arithmetic number, because the mean of its divisors is an integer number (6201063900).

Almost surely, 234105851417 is an apocalyptic number.

It is an amenable number.

34105851417 is a deficient number, since it is larger than the sum of its proper divisors (15502659783).

34105851417 is a wasteful number, since it uses less digits than its factorization.

34105851417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033510663.

The product of its (nonzero) digits is 67200, while the sum is 39.

The spelling of 34105851417 in words is "thirty-four billion, one hundred five million, eight hundred fifty-one thousand, four hundred seventeen".

Divisors: 1 3 11 33 1033510649 3100531947 11368617139 34105851417