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14000104200 = 23352193120899
BaseRepresentation
bin11010000100111100…
…01010001100001000
31100010200122222111210
431002132022030020
5212133011313300
610233114453120
71003635631215
oct150236121410
940120588453
1014000104200
115a3476a555
1228687341a0
131421647434
1496b502b0c
1556e154050
hex34278a308

14000104200 has 96 divisors (see below), whose sum is σ = 43625556000. Its totient is φ = 3713986560.

The previous prime is 14000104189. The next prime is 14000104201. The reversal of 14000104200 is 240100041.

It is a super-2 number, since 2×140001042002 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14000104201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55351 + ... + 176249.

It is an arithmetic number, because the mean of its divisors is an integer number (454432875).

Almost surely, 214000104200 is an apocalyptic number.

14000104200 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 14000104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21812778000).

14000104200 is an abundant number, since it is smaller than the sum of its proper divisors (29625451800).

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

14000104200 is a wasteful number, since it uses less digits than its factorization.

14000104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121111 (or 121102 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 14000104200 its reverse (240100041), we get a palindrome (14240204241).

The spelling of 14000104200 in words is "fourteen billion, one hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 193 200 300 386 579 600 772 965 1158 1544 1930 2316 2895 3860 4632 4825 5790 7720 9650 11580 14475 19300 23160 28950 38600 57900 115800 120899 241798 362697 483596 604495 725394 967192 1208990 1450788 1813485 2417980 2901576 3022475 3626970 4835960 6044950 7253940 9067425 12089900 14507880 18134850 23333507 24179800 36269700 46667014 70000521 72539400 93334028 116667535 140001042 186668056 233335070 280002084 350002605 466670140 560004168 583337675 700005210 933340280 1166675350 1400010420 1750013025 2333350700 2800020840 3500026050 4666701400 7000052100 14000104200