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14005612320 = 253574168337
BaseRepresentation
bin11010000101100110…
…01010111100100000
31100011002000211020020
431002303022330200
5212140414043240
610233432513440
71004033511660
oct150263127440
940132024206
1014005612320
115a37891917
12286a54b880
13142282558b
1496c1381a0
1556e8910d0
hex342ccaf20

14005612320 has 96 divisors (see below), whose sum is σ = 50420216448. Its totient is φ = 3201282048.

The previous prime is 14005612307. The next prime is 14005612351. The reversal of 14005612320 is 2321650041.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2080809 + ... + 2087528.

It is an arithmetic number, because the mean of its divisors is an integer number (525210588).

Almost surely, 214005612320 is an apocalyptic number.

14005612320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14005612320 is an abundant number, since it is smaller than the sum of its proper divisors (36414604128).

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

14005612320 is a wasteful number, since it uses less digits than its factorization.

14005612320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4168362 (or 4168354 counting only the distinct ones).

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

The spelling of 14005612320 in words is "fourteen billion, five million, six hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 4168337 8336674 12505011 16673348 20841685 25010022 29178359 33346696 41683370 50020044 58356718 62525055 66693392 83366740 87535077 100040088 116713436 125050110 133386784 145891795 166733480 175070154 200080176 233426872 250100220 291783590 333466960 350140308 400160352 437675385 466853744 500200440 583567180 666933920 700280616 875350770 933707488 1000400880 1167134360 1400561232 1750701540 2000801760 2334268720 2801122464 3501403080 4668537440 7002806160 14005612320