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32041231201104 = 24361337115328163
BaseRepresentation
bin1110100100100001011100…
…01101000011001101010000
311012110010000111022122100120
413102100232031003031100
513144430420141413404
6152051312143550240
76514621402333536
oct722205615031520
9135403014278316
1032041231201104
11a233678777554
12371597b5bb380
1314b5623b52c28
147cab37b3a156
153a86ec8dd9d9
hex1d242e343350

32041231201104 has 160 divisors (see below), whose sum is σ = 84455943771264. Its totient is φ = 10464692797440.

The previous prime is 32041231201097. The next prime is 32041231201159. The reversal of 32041231201104 is 40110213214023.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1137692527 + ... + 1137720689.

Almost surely, 232041231201104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32041231201104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42227971885632).

32041231201104 is an abundant number, since it is smaller than the sum of its proper divisors (52414712570160).

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

32041231201104 is a wasteful number, since it uses less digits than its factorization.

32041231201104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29725 (or 29719 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 32041231201104 its reverse (40110213214023), we get a palindrome (72151444415127).

The spelling of 32041231201104 in words is "thirty-two trillion, forty-one billion, two hundred thirty-one million, two hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 337 366 488 674 732 976 1011 1153 1348 1464 2022 2306 2696 2928 3459 4044 4612 5392 6918 8088 9224 13836 16176 18448 20557 27672 28163 41114 55344 56326 61671 70333 82228 84489 112652 123342 140666 164456 168978 210999 225304 246684 281332 328912 337956 388561 421998 450608 493368 562664 675912 777122 843996 986736 1125328 1165683 1351824 1554244 1687992 1717943 2331366 3108488 3375984 3435886 4662732 5153829 6216976 6871772 9325464 9490931 10307658 13743544 18650928 18981862 20615316 23702221 27487088 28472793 32471939 37963724 41230632 47404442 56945586 64943878 71106663 75927448 82461264 94808884 97415817 113891172 129887756 142213326 151854896 189617768 194831634 227782344 259775512 284426652 379235536 389663268 455564688 519551024 568853304 578946791 779326536 1137706608 1157893582 1558653072 1736840373 1980788279 2315787164 3473680746 3961576558 4631574328 5942364837 6947361492 7923153116 9263148656 10943043443 11884729674 13894722984 15846306232 21886086886 23769459348 27789445968 31692612464 32829130329 43772173772 47538918696 65658260658 87544347544 95077837392 131316521316 175088695088 262633042632 525266085264 667525650023 1335051300046 2002576950069 2670102600092 4005153900138 5340205200184 8010307800276 10680410400368 16020615600552 32041231201104