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34000113014 = 2737352112497
BaseRepresentation
bin11111101010100100…
…001000110101110110
310020202112012200211222
4133222210020311312
51024113012104024
623341444230342
72312361122630
oct375244106566
9106675180758
1034000113014
11134681a515a
12670a69b3b2
13328b02608a
1419077cba50
15d3edc285e
hex7ea908d76

34000113014 has 32 divisors (see below), whose sum is σ = 58559029056. Its totient is φ = 14503357440.

The previous prime is 34000113011. The next prime is 34000113019. The reversal of 34000113014 is 41031100043.

It is a junction number, because it is equal to n+sod(n) for n = 34000112983 and 34000113001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000113011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2714414 + ... + 2726910.

It is an arithmetic number, because the mean of its divisors is an integer number (1829969658).

Almost surely, 234000113014 is an apocalyptic number.

34000113014 is a deficient number, since it is larger than the sum of its proper divisors (24558916042).

34000113014 is a wasteful number, since it uses less digits than its factorization.

34000113014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13400.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 34000113014 its reverse (41031100043), we get a palindrome (75031213057).

The spelling of 34000113014 in words is "thirty-four billion, one hundred thirteen thousand, fourteen".

Divisors: 1 2 7 14 373 521 746 1042 2611 3647 5222 7294 12497 24994 87479 174958 194333 388666 1360331 2720662 4661381 6510937 9322762 13021874 32629667 45576559 65259334 91153118 2428579501 4857159002 17000056507 34000113014