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14081275656120 = 2335337493770529
BaseRepresentation
bin1100110011101000110101…
…1011101111011110111000
31211212011020022102001222110
43030322031123233132320
53321201423031443440
645540503154252320
72652224065132161
oct314721533573670
954764208361873
1014081275656120
114539921012022
1216b50668870a0
137b1b2144c36a
143697747cc768
1519644639e080
hexcce8d6ef7b8

14081275656120 has 128 divisors (see below), whose sum is σ = 42378362395200. Its totient is φ = 3743052988416.

The previous prime is 14081275656059. The next prime is 14081275656131. The reversal of 14081275656120 is 2165657218041.

It is a happy number.

It is a super-3 number, since 3×140812756561203 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14081275656120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199617016 + ... + 199687544.

Almost surely, 214081275656120 is an apocalyptic number.

14081275656120 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 14081275656120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21189181197600).

14081275656120 is an abundant number, since it is smaller than the sum of its proper divisors (28297086739080).

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

14081275656120 is a wasteful number, since it uses less digits than its factorization.

14081275656120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75817 (or 75813 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 14081275656120 in words is "fourteen trillion, eighty-one billion, two hundred seventy-five million, six hundred fifty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 337 674 1011 1348 1685 2022 2696 3370 4044 4937 5055 6740 8088 9874 10110 13480 14811 19748 20220 24685 29622 39496 40440 49370 59244 70529 74055 98740 118488 141058 148110 197480 211587 282116 296220 352645 423174 564232 592440 705290 846348 1057935 1410580 1663769 1692696 2115870 2821160 3327538 4231740 4991307 6655076 8318845 8463480 9982614 13310152 16637690 19965228 23768273 24956535 33275380 39930456 47536546 49913070 66550760 71304819 95073092 99826140 118841365 142609638 190146184 199652280 237682730 285219276 348201673 356524095 475365460 570438552 696403346 713048190 950730920 1044605019 1392806692 1426096380 1741008365 2089210038 2785613384 2852192760 3482016730 4178420076 5223025095 6964033460 8356840152 10446050190 13928066920 20892100380 41784200760 117343963801 234687927602 352031891403 469375855204 586719819005 704063782806 938751710408 1173439638010 1408127565612 1760159457015 2346879276020 2816255131224 3520318914030 4693758552040 7040637828060 14081275656120