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14084691760 = 2451767154573
BaseRepresentation
bin11010001111000001…
…10101011100110000
31100100120211110211101
431013200311130300
5212321140114020
610245335454144
71006013622166
oct150740653460
940316743741
1014084691760
115a78494427
122890b27354
131436022949
14978841236
155767b200a
hex347835730

14084691760 has 80 divisors (see below), whose sum is σ = 35190935136. Its totient is φ = 5223297024.

The previous prime is 14084691757. The next prime is 14084691763. The reversal of 14084691760 is 6719648041.

It is an interprime number because it is at equal distance from previous prime (14084691757) and next prime (14084691763).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 14084691760.

It is not an unprimeable number, because it can be changed into a prime (14084691763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13834 + ... + 168406.

Almost surely, 214084691760 is an apocalyptic number.

14084691760 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 14084691760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17595467568).

14084691760 is an abundant number, since it is smaller than the sum of its proper divisors (21106243376).

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

14084691760 is a wasteful number, since it uses less digits than its factorization.

14084691760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154670 (or 154664 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 14084691760 in words is "fourteen billion, eighty-four million, six hundred ninety-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 67 68 80 85 134 136 170 268 272 335 340 536 670 680 1072 1139 1340 1360 2278 2680 4556 5360 5695 9112 11390 18224 22780 45560 91120 154573 309146 618292 772865 1236584 1545730 2473168 2627741 3091460 5255482 6182920 10356391 10510964 12365840 13138705 20712782 21021928 26277410 41425564 42043856 51781955 52554820 82851128 103563910 105109640 165702256 176058647 207127820 210219280 352117294 414255640 704234588 828511280 880293235 1408469176 1760586470 2816938352 3521172940 7042345880 14084691760