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32044942933104 = 24329101671933923
BaseRepresentation
bin1110100100101000010110…
…11100001011110001110000
311012110110121011121011110010
413102110023130023301300
513200011020342324404
6152053124335134520
76515112362462613
oct722241334136160
9135413534534403
1032044942933104
11a23520296a762
123716636674440
1314b5a95b2385a
147cadaaa9217a
153a88686c1189
hex1d250b70bc70

32044942933104 has 160 divisors (see below), whose sum is σ = 86500663603200. Its totient is φ = 10209382220800.

The previous prime is 32044942933097. The next prime is 32044942933153. The reversal of 32044942933104 is 40133924944023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 944620687 + ... + 944654609.

It is an arithmetic number, because the mean of its divisors is an integer number (540629147520).

Almost surely, 232044942933104 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 32044942933104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43250331801600).

32044942933104 is an abundant number, since it is smaller than the sum of its proper divisors (54455720670096).

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

32044942933104 is a wasteful number, since it uses less digits than its factorization.

32044942933104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40783 (or 40777 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 48.

The spelling of 32044942933104 in words is "thirty-two trillion, forty-four billion, nine hundred forty-two million, nine hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 101 116 174 202 232 303 348 404 464 606 696 808 1212 1392 1616 2424 2929 4848 5858 6719 8787 11716 13438 17574 20157 23432 26876 33923 35148 40314 46864 53752 67846 70296 80628 101769 107504 135692 140592 161256 194851 203538 271384 322512 389702 407076 542768 584553 678619 779404 814152 983767 1169106 1357238 1558808 1628304 1967534 2035857 2338212 2714476 2951301 3117616 3426223 3935068 4071714 4676424 5428952 5902602 6852446 7870136 8143428 9352848 10278669 10857904 11805204 13704892 15740272 16286856 19679951 20557338 23610408 27409784 32573712 39359902 41114676 47220816 54819568 59039853 78719804 82229352 99360467 118079706 157439608 164458704 198720934 227928637 236159412 298081401 314879216 397441868 455857274 472318824 596162802 683785911 794883736 911714548 944637648 1192325604 1367571822 1589767472 1823429096 2384651208 2735143644 3646858192 4769302416 5470287288 6609930473 10940574576 13219860946 19829791419 23020792337 26439721892 39659582838 46041584674 52879443784 69062377011 79319165676 92083169348 105758887568 138124754022 158638331352 184166338696 276249508044 317276662704 368332677392 552499016088 667602977773 1104998032176 1335205955546 2002808933319 2670411911092 4005617866638 5340823822184 8011235733276 10681647644368 16022471466552 32044942933104