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14001200112420 = 22325435773135079
BaseRepresentation
bin1100101110111110100010…
…0011110010001100100100
31211120111112201010222111200
43023233220203302030210
53313343424212044140
645440021301402500
72643360535214433
oct313575043621444
954514481128450
1014001200112420
11450896a4a8934
1216a1639709430
137a73cc787641
143659399cb11a
1519430b45c030
hexcbbe88f2324

14001200112420 has 144 divisors (see below), whose sum is σ = 43533319589760. Its totient is φ = 3640502734848.

The previous prime is 14001200112409. The next prime is 14001200112437. The reversal of 14001200112420 is 2421100210041.

14001200112420 is a `hidden beast` number, since 1 + 40 + 0 + 1 + 200 + 1 + 1 + 2 + 420 = 666.

14001200112420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 14001200112393 and 14001200112402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2898441 + ... + 6033519.

Almost surely, 214001200112420 is an apocalyptic number.

14001200112420 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 14001200112420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21766659794880).

14001200112420 is an abundant number, since it is smaller than the sum of its proper divisors (29532119477340).

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

14001200112420 is a wasteful number, since it uses less digits than its factorization.

14001200112420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3135714 (or 3135709 counting only the distinct ones).

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

Adding to 14001200112420 its reverse (2421100210041), we get a palindrome (16422300322461).

The spelling of 14001200112420 in words is "fourteen trillion, one billion, two hundred million, one hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 577 645 774 860 1154 1290 1548 1731 1935 2308 2580 2885 3462 3870 5193 5770 6924 7740 8655 10386 11540 17310 20772 24811 25965 34620 49622 51930 74433 99244 103860 124055 148866 223299 248110 297732 372165 446598 496220 744330 893196 1116495 1488660 2232990 3135079 4465980 6270158 9405237 12540316 15675395 18810474 28215711 31350790 37620948 47026185 56431422 62701580 94052370 112862844 134808397 141078555 188104740 269616794 282157110 404425191 539233588 564314220 674041985 808850382 1213275573 1348083970 1617700764 1808940583 2022125955 2426551146 2696167940 3617881166 4044251910 4853102292 5426821749 6066377865 7235762332 8088503820 9044702915 10853643498 12132755730 16280465247 18089405830 21707286996 24265511460 27134108745 32560930494 36178811660 54268217490 65121860988 77784445069 81402326235 108536434980 155568890138 162804652470 233353335207 311137780276 325609304940 388922225345 466706670414 700060005621 777844450690 933413340828 1166766676035 1400120011242 1555688901380 2333533352070 2800240022484 3500300028105 4667066704140 7000600056210 14001200112420