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4105885014 = 2327112436263
BaseRepresentation
bin1111010010111010…
…1101010101010110
3101121010221120101100
43310232231111112
531402101310024
61515231210530
7203514306150
oct36456552526
911533846340
104105885014
111817735200
12967076a46
13505845a7a
142ad437ad0
151906dd7c9
hexf4bad556

4105885014 has 144 divisors (see below), whose sum is σ = 11436961536. Its totient is φ = 1041495840.

The previous prime is 4105885013. The next prime is 4105885019.

4105885014 is a `hidden beast` number, since 4 + 10 + 588 + 50 + 14 = 666.

4105885014 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4105885014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4105885013) 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 71 ways as a sum of consecutive naturals, for example, 652447 + ... + 658709.

It is an arithmetic number, because the mean of its divisors is an integer number (79423344).

Almost surely, 24105885014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4105885014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5718480768).

4105885014 is an abundant number, since it is smaller than the sum of its proper divisors (7331076522).

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

4105885014 is a wasteful number, since it uses less digits than its factorization.

4105885014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6343 (or 6329 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 4105885014 is about 64077.1801345846. The cubic root of 4105885014 is about 1601.2860771744.

The spelling of 4105885014 in words is "four billion, one hundred five million, eight hundred eighty-five thousand, fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 43 63 66 77 86 99 121 126 129 154 198 231 242 258 301 363 387 462 473 602 693 726 774 847 903 946 1089 1386 1419 1694 1806 2178 2541 2709 2838 3311 4257 5082 5203 5418 6263 6622 7623 8514 9933 10406 12526 15246 15609 18789 19866 29799 31218 36421 37578 43841 46827 56367 59598 68893 72842 87682 93654 109263 112734 131523 137786 206679 218526 263046 269309 327789 394569 413358 482251 538618 620037 655578 757823 789138 807927 964502 1240074 1446753 1515646 1615854 1885163 2273469 2423781 2893506 2962399 3770326 4340259 4546938 4847562 5304761 5655489 5924798 6820407 8680518 8887197 10609522 11310978 13640814 15914283 16966467 17774394 20736793 26661591 31828566 32586389 33932934 41473586 47742849 53323182 62210379 65172778 95485698 97759167 124420758 186631137 195518334 228104723 293277501 373262274 456209446 586555002 684314169 1368628338 2052942507 4105885014