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14005212360 = 23351910875651
BaseRepresentation
bin11010000101100011…
…01001010011001000
31100011001021111120220
431002301221103020
5212140313243420
610233420150040
71004030224626
oct150261512310
940131244526
1014005212360
115a37639377
12286a398320
131422715509
1496c072516
1556e812840
hex342c694c8

14005212360 has 128 divisors (see below), whose sum is σ = 44275507200. Its totient is φ = 3534278400.

The previous prime is 14005212313. The next prime is 14005212443. The reversal of 14005212360 is 6321250041.

It is a super-2 number, since 2×140052123602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14005212360.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2475535 + ... + 2481185.

It is an arithmetic number, because the mean of its divisors is an integer number (345902400).

Almost surely, 214005212360 is an apocalyptic number.

14005212360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14005212360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22137753600).

14005212360 is an abundant number, since it is smaller than the sum of its proper divisors (30270294840).

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

14005212360 is a wasteful number, since it uses less digits than its factorization.

14005212360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6771 (or 6767 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 14005212360 in words is "fourteen billion, five million, two hundred twelve thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1087 1140 2174 2280 3261 4348 5435 5651 6522 8696 10870 11302 13044 16305 16953 20653 21740 22604 26088 28255 32610 33906 41306 43480 45208 56510 61959 65220 67812 82612 84765 103265 107369 113020 123918 130440 135624 165224 169530 206530 214738 226040 247836 309795 322107 339060 413060 429476 495672 536845 619590 644214 678120 826120 858952 1073690 1239180 1288428 1610535 2147380 2478360 2576856 3221070 4294760 6142637 6442140 12285274 12884280 18427911 24570548 30713185 36855822 49141096 61426370 73711644 92139555 116710103 122852740 147423288 184279110 233420206 245705480 350130309 368558220 466840412 583550515 700260618 737116440 933680824 1167101030 1400521236 1750651545 2334202060 2801042472 3501303090 4668404120 7002606180 14005212360