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14306896494 = 23211223893209
BaseRepresentation
bin11010101001100000…
…11110101001101110
31100221001221122102100
431110300132221232
5213300031141434
610323354235530
71014352420332
oct152460365156
940831848370
1014306896494
116081963100
122933425ba6
131470082a37
1499a1637c2
1558b055699
hex354c1ea6e

14306896494 has 144 divisors (see below), whose sum is σ = 35964583200. Its totient is φ = 4099054080.

The previous prime is 14306896481. The next prime is 14306896529. The reversal of 14306896494 is 49469860341.

It is a happy number.

14306896494 is a `hidden beast` number, since 1 + 4 + 3 + 0 + 68 + 96 + 494 = 666.

It is a super-5 number, since 5×143068964945 (a number of 52 digits) contains 55555 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 14306896494.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4456762 + ... + 4459970.

It is an arithmetic number, because the mean of its divisors is an integer number (249754050).

Almost surely, 214306896494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14306896494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17982291600).

14306896494 is an abundant number, since it is smaller than the sum of its proper divisors (21657686706).

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

14306896494 is a wasteful number, since it uses less digits than its factorization.

14306896494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 14306896494 in words is "fourteen billion, three hundred six million, eight hundred ninety-six thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 89 99 121 138 178 198 207 242 253 267 363 414 506 534 726 759 801 979 1089 1518 1602 1958 2047 2178 2277 2783 2937 3209 4094 4554 5566 5874 6141 6418 8349 8811 9627 10769 12282 16698 17622 18423 19254 21538 22517 25047 28881 32307 35299 36846 45034 50094 57762 64614 67551 70598 73807 96921 105897 135102 147614 193842 202653 211794 221421 247687 285601 317691 388289 405306 442842 495374 571202 635382 664263 743061 776578 811877 856803 1164867 1328526 1486122 1623754 1713606 2229183 2329734 2435631 2570409 3141611 3494601 4458366 4871262 5140818 6283222 6568823 6989202 7306893 8930647 9424833 13137646 14613786 17861294 18849666 19706469 26791941 28274499 34557721 39412938 53583882 56548998 59119407 69115442 72257053 80375823 103673163 118238814 144514106 160751646 207346326 216771159 311019489 433542318 622038978 650313477 794827583 1300626954 1589655166 2384482749 4768965498 7153448247 14306896494