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14112400002120 = 233457622239859
BaseRepresentation
bin1100110101011100110010…
…0101101100110001001000
31211222010120102100200010000
43031113030211230301020
53322204143400031440
650003051433123000
72654405266533540
oct315271445546110
954863512320100
1014112400002120
114551042989922
1216bb0b2259460
137b4a4173a744
1436b0882b2320
15197168a6c730
hexcd5cc96cc48

14112400002120 has 160 divisors (see below), whose sum is σ = 54209536603200. Its totient is φ = 3225691423872.

The previous prime is 14112400002073. The next prime is 14112400002137. The reversal of 14112400002120 is 2120000421141.

14112400002120 is a `hidden beast` number, since 1 + 41 + 12 + 400 + 0 + 0 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14112400002093 and 14112400002102.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 311097250 + ... + 311142609.

It is an arithmetic number, because the mean of its divisors is an integer number (338809603770).

Almost surely, 214112400002120 is an apocalyptic number.

14112400002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14112400002120 is an abundant number, since it is smaller than the sum of its proper divisors (40097136601080).

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

14112400002120 is a wasteful number, since it uses less digits than its factorization.

14112400002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622239889 (or 622239876 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14112400002120 its reverse (2120000421141), we get a palindrome (16232400423261).

The spelling of 14112400002120 in words is "fourteen trillion, one hundred twelve billion, four hundred million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 22680 622239859 1244479718 1866719577 2488959436 3111199295 3733439154 4355679013 4977918872 5600158731 6222398590 7466878308 8711358026 9333597885 11200317462 12444797180 13067037039 14933756616 16800476193 17422716052 18667195770 21778395065 22400634924 24889594360 26134074078 28000793655 33600952386 34845432104 37334391540 39201111117 43556790130 44801269848 50401428579 52268148156 56001587310 65335185195 67201904772 74668783080 78402222234 84002380965 87113580260 100802857158 104536296312 112003174620 117603333351 130670370390 134403809544 156804444468 168004761930 174227160520 196005555585 201605714316 224006349240 235206666702 252007142895 261340740780 313608888936 336009523860 352810000053 392011111170 403211428632 470413333404 504014285790 522681481560 588016666755 672019047720 705620000106 784022222340 940826666808 1008028571580 1176033333510 1411240000212 1568044444680 1764050000265 2016057143160 2352066667020 2822480000424 3528100000530 4704133334040 7056200001060 14112400002120