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13443174960432 = 2437432573620437
BaseRepresentation
bin1100001110011111101110…
…1010110000110100110000
31202121011011222101010200220
43003213323222300310300
53230223110242213212
644331413114013040
72555144256534540
oct303477352606460
952534158333626
1013443174960432
114313244890978
121611464117180
137668bc08b609
14346920303320
15184a4b66b38c
hexc39fbab0d30

13443174960432 has 160 divisors (see below), whose sum is σ = 40770418478592. Its totient is φ = 3736985075712.

The previous prime is 13443174960419. The next prime is 13443174960443. The reversal of 13443174960432 is 23406947134431.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1902918 + ... + 5523354.

Almost surely, 213443174960432 is an apocalyptic number.

13443174960432 is a gapful number since it is divisible by the number (12) 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 13443174960432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20385209239296).

13443174960432 is an abundant number, since it is smaller than the sum of its proper divisors (27327243518160).

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

13443174960432 is a wasteful number, since it uses less digits than its factorization.

13443174960432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620755 (or 3620749 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 51.

The spelling of 13443174960432 in words is "thirteen trillion, four hundred forty-three billion, one hundred seventy-four million, nine hundred sixty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 257 258 301 336 344 514 516 602 688 771 903 1028 1032 1204 1542 1799 1806 2056 2064 2408 3084 3598 3612 4112 4816 5397 6168 7196 7224 10794 11051 12336 14392 14448 21588 22102 28784 33153 43176 44204 66306 77357 86352 88408 132612 154714 176816 232071 265224 309428 464142 530448 618856 928284 1237712 1856568 3620437 3713136 7240874 10861311 14481748 21722622 25343059 28963496 43445244 50686118 57926992 76029177 86890488 101372236 152058354 155678791 173780976 202744472 304116708 311357582 405488944 467036373 608233416 622715164 930452309 934072746 1089751537 1216466832 1245430328 1860904618 1868145492 2179503074 2490860656 2791356927 3269254611 3721809236 3736290984 4359006148 5582713854 6513166163 6538509222 7443618472 7472581968 8718012296 11165427708 13026332326 13077018444 14887236944 17436024592 19539498489 22330855416 26052664652 26154036888 39078996978 40009449287 44661710832 52105329304 52308073776 78157993956 80018898574 104210658608 120028347861 156315987912 160037797148 240056695722 280066145009 312631975824 320075594296 480113391444 560132290018 640151188592 840198435027 960226782888 1120264580036 1680396870054 1920453565776 2240529160072 3360793740108 4481058320144 6721587480216 13443174960432