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14002101120 = 273571041823
BaseRepresentation
bin11010000101001011…
…10001101110000000
31100010211102102202210
431002211301232000
5212134014213440
610233225342120
71003661616150
oct150245615600
940124372683
1014002101120
115a359038a7
122869337940
131421b96347
1496b8a2760
1556e3eaa80
hex342971b80

14002101120 has 128 divisors (see below), whose sum is σ = 51007703040. Its totient is φ = 3200477184.

The previous prime is 14002101109. The next prime is 14002101181. The reversal of 14002101120 is 2110120041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 14002101096 and 14002101105.

It is a congruent number.

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, 507472 + ... + 534351.

It is an arithmetic number, because the mean of its divisors is an integer number (398497680).

Almost surely, 214002101120 is an apocalyptic number.

14002101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14002101120 is an abundant number, since it is smaller than the sum of its proper divisors (37005601920).

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

14002101120 is a wasteful number, since it uses less digits than its factorization.

14002101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041852 (or 1041840 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 14002101120 its reverse (2110120041), we get a palindrome (16112221161).

The spelling of 14002101120 in words is "fourteen billion, two million, one hundred one thousand, one 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 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 1041823 2083646 3125469 4167292 5209115 6250938 7292761 8334584 10418230 12501876 14585522 15627345 16669168 20836460 21878283 25003752 29171044 31254690 33338336 36463805 41672920 43756566 50007504 58342088 62509380 66676672 72927610 83345840 87513132 100015008 109391415 116684176 125018760 133353344 145855220 166691680 175026264 200030016 218782830 233368352 250037520 291710440 333383360 350052528 400060032 437565660 466736704 500075040 583420880 666766720 700105056 875131320 933473408 1000150080 1166841760 1400210112 1750262640 2000300160 2333683520 2800420224 3500525280 4667367040 7001050560 14002101120