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4443465114 = 2341143103563
BaseRepresentation
bin1000010001101100…
…11110010110011010
3102110200011102020000
410020312132112122
533100011340424
62012530513430
7215053554534
oct41066362632
912420142200
104443465114
111980247120
12a40135876
1355a770aca
143021d0854
151b01723c9
hex108d9e59a

4443465114 has 160 divisors (see below), whose sum is σ = 11242243584. Its totient is φ = 1300108320.

The previous prime is 4443465079. The next prime is 4443465121. The reversal of 4443465114 is 4115643444.

4443465114 is a `hidden beast` number, since 44 + 43 + 465 + 114 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7892197 + ... + 7892759.

Almost surely, 24443465114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4443465114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5621121792).

4443465114 is an abundant number, since it is smaller than the sum of its proper divisors (6798778470).

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

4443465114 is a wasteful number, since it uses less digits than its factorization.

4443465114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 725 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 4443465114 is about 66659.3212836734. The cubic root of 4443465114 is about 1644.0206121876.

The spelling of 4443465114 in words is "four billion, four hundred forty-three million, four hundred sixty-five thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 43 54 66 81 86 99 103 129 162 198 206 258 297 309 387 473 563 594 618 774 891 927 946 1126 1133 1161 1419 1689 1782 1854 2266 2322 2781 2838 3378 3399 3483 4257 4429 5067 5562 6193 6798 6966 8343 8514 8858 10134 10197 12386 12771 13287 15201 16686 18579 20394 24209 25542 26574 30402 30591 37158 38313 39861 45603 48418 48719 55737 57989 61182 72627 76626 79722 91206 91773 97438 111474 115978 119583 145254 146157 167211 173967 183546 217881 239166 266299 292314 334422 347934 358749 435762 438471 501633 521901 532598 637879 653643 717498 798897 876942 1003266 1043802 1275758 1307286 1315413 1565703 1597794 1913637 1960929 2396691 2493527 2630826 3131406 3827274 3921858 3946239 4697109 4793382 4987054 5740911 7190073 7480581 7892478 9394218 11481822 14380146 14961162 17222733 21570219 22441743 27428797 34445466 43140438 44883486 51668199 54857594 67325229 82286391 103336398 134650458 164572782 201975687 246859173 403951374 493718346 740577519 1481155038 2221732557 4443465114