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17113314042 = 2341142122811
BaseRepresentation
bin11111111000000100…
…00111001011111010
31122011122201102120000
433330002013023322
5240022002022132
611510045413430
71144040524566
oct177402071372
948148642500
1017113314042
117292024150
12339726a276
1317c9619036
14b84b786a6
156a260b87c
hex3fc0872fa

17113314042 has 80 divisors (see below), whose sum is σ = 41933748384. Its totient is φ = 5173308000.

The previous prime is 17113314017. The next prime is 17113314131. The reversal of 17113314042 is 24041331171.

It is a super-2 number, since 2×171133140422 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 17113313997 and 17113314015.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 738817 + ... + 761627.

Almost surely, 217113314042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17113314042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20966874192).

17113314042 is an abundant number, since it is smaller than the sum of its proper divisors (24820434342).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

17113314042 is a wasteful number, since it uses less digits than its factorization.

17113314042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23257 (or 23248 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 17113314042 in words is "seventeen billion, one hundred thirteen million, three hundred fourteen thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 421 594 842 891 1263 1782 2526 3789 4631 7578 9262 11367 13893 22734 22811 27786 34101 41679 45622 68202 68433 83358 125037 136866 205299 250074 250921 375111 410598 501842 615897 750222 752763 1231794 1505526 1847691 2258289 3695382 4516578 6774867 9603431 13549734 19206862 20324601 28810293 40649202 57620586 86430879 105637741 172861758 211275482 259292637 316913223 518585274 633826446 777877911 950739669 1555755822 1901479338 2852219007 5704438014 8556657021 17113314042