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14185609380 = 2234519460871
BaseRepresentation
bin11010011011000011…
…10011100010100100
31100121121201121210000
431031201303202210
5213023004000010
610303342501300
71011350455515
oct151541634244
940547647700
1014185609380
11601a452318
1228ba894830
131450bc8007
14987dd0a0c
155805987c0
hex34d8738a4

14185609380 has 120 divisors (see below), whose sum is σ = 46843030080. Its totient is φ = 3583725120.

The previous prime is 14185609351. The next prime is 14185609381. The reversal of 14185609380 is 8390658141.

14185609380 is a `hidden beast` number, since 1 + 4 + 1 + 8 + 5 + 609 + 38 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (14185609381) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 199656 + ... + 261215.

It is an arithmetic number, because the mean of its divisors is an integer number (390358584).

Almost surely, 214185609380 is an apocalyptic number.

14185609380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14185609380 is an abundant number, since it is smaller than the sum of its proper divisors (32657420700).

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

14185609380 is a wasteful number, since it uses less digits than its factorization.

14185609380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460911 (or 460900 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 14185609380 in words is "fourteen billion, one hundred eighty-five million, six hundred nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 684 810 855 1026 1140 1539 1620 1710 2052 2565 3078 3420 5130 6156 7695 10260 15390 30780 460871 921742 1382613 1843484 2304355 2765226 4147839 4608710 5530452 6913065 8295678 8756549 9217420 12443517 13826130 16591356 17513098 20739195 24887034 26269647 27652260 35026196 37330551 41478390 43782745 49774068 52539294 62217585 74661102 78808941 82956780 87565490 105078588 124435170 131348235 149322204 157617882 175130980 186652755 236426823 248870340 262696470 315235764 373305510 394044705 472853646 525392940 709280469 746611020 788089410 945707292 1182134115 1418560938 1576178820 2364268230 2837121876 3546402345 4728536460 7092804690 14185609380