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14042514420 = 223251117417187
BaseRepresentation
bin11010001001111111…
…11100001111110100
31100020122110122101200
431010333330033310
5212224340430140
610241231452500
71004662255164
oct150477741764
940218418350
1014042514420
115a566a6a20
12287a987130
13142a37603c
14972dc25a4
15572c30030
hex344ffc3f4

14042514420 has 144 divisors (see below), whose sum is σ = 49201483968. Its totient is φ = 3203988480.

The previous prime is 14042514397. The next prime is 14042514449. The reversal of 14042514420 is 2441524041.

14042514420 is a `hidden beast` number, since 1 + 404 + 251 + 4 + 4 + 2 + 0 = 666.

It is a super-2 number, since 2×140425144202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 174934 + ... + 242253.

It is an arithmetic number, because the mean of its divisors is an integer number (341676972).

Almost surely, 214042514420 is an apocalyptic number.

14042514420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14042514420 is an abundant number, since it is smaller than the sum of its proper divisors (35158969548).

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

14042514420 is a wasteful number, since it uses less digits than its factorization.

14042514420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417230 (or 417225 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 14042514420 in words is "fourteen billion, forty-two million, five hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1870 1980 2244 2805 3060 3366 3740 5610 6732 8415 11220 16830 33660 417187 834374 1251561 1668748 2085935 2503122 3754683 4171870 4589057 5006244 6257805 7092179 7509366 8343740 9178114 12515610 13767171 14184358 15018732 18356228 18773415 21276537 22945285 25031220 27534342 28368716 35460895 37546830 41301513 42553074 45890570 55068684 63829611 68835855 70921790 75093660 78013969 82603026 85106148 91781140 106382685 127659222 137671710 141843580 156027938 165206052 206507565 212765370 234041907 255318444 275343420 312055876 319148055 390069845 413015130 425530740 468083814 638296110 702125721 780139690 826030260 936167628 1170209535 1276592220 1404251442 1560279380 2340419070 2808502884 3510628605 4680838140 7021257210 14042514420