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13984841857920 = 273522147328883
BaseRepresentation
bin1100101110000001100110…
…0001111111101110000000
31211111221022200012112220220
43023200121201333232000
53313111424003423140
645424314143303040
72642241263310363
oct313403141775600
954457280175826
1013984841857920
114501a3571013a
12169a4332aaa80
137a59c3717ccb
14364c272400da
15193ba029bbd0
hexcb81987fb80

13984841857920 has 128 divisors (see below), whose sum is σ = 44578831731840. Its totient is φ = 3729111435264.

The previous prime is 13984841857901. The next prime is 13984841857927. The reversal of 13984841857920 is 2975814848931.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13984841857927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42357799 + ... + 42686681.

It is an arithmetic number, because the mean of its divisors is an integer number (348272122905).

Almost surely, 213984841857920 is an apocalyptic number.

13984841857920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13984841857920 is an abundant number, since it is smaller than the sum of its proper divisors (30593989873920).

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

13984841857920 is a wasteful number, since it uses less digits than its factorization.

13984841857920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351052 (or 351040 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 69.

The spelling of 13984841857920 in words is "thirteen trillion, nine hundred eighty-four billion, eight hundred forty-one million, eight hundred fifty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 22147 44294 66441 88588 110735 132882 177176 221470 265764 328883 332205 354352 442940 531528 657766 664410 708704 885880 986649 1063056 1315532 1328820 1417408 1644415 1771760 1973298 2126112 2631064 2657640 2834816 3288830 3543520 3946596 4252224 4933245 5262128 5315280 6577660 7087040 7893192 8504448 9866490 10524256 10630560 13155320 14174080 15786384 19732980 21048512 21261120 26310640 31572768 39465960 42097024 42522240 52621280 63145536 78931920 105242560 126291072 157863840 210485120 315727680 631455360 7283771801 14567543602 21851315403 29135087204 36418859005 43702630806 58270174408 72837718010 87405261612 109256577015 116540348816 145675436020 174810523224 218513154030 233080697632 291350872040 349621046448 437026308060 466161395264 582701744080 699242092896 874052616120 932322790528 1165403488160 1398484185792 1748105232240 2330806976320 2796968371584 3496210464480 4661613952640 6992420928960 13984841857920