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12331433440440 = 2332553646301543
BaseRepresentation
bin1011001101110010001010…
…1101011011010010111000
31121122212120210120100112100
42303130202231123102320
53104014233430043230
642120552102543400
72411626262534352
oct263344255332270
947585523510470
1012331433440440
113a24805774154
121471ab8137b60
136b5b0686cc9a
14308bb76a40d2
15165b7eea6660
hexb3722b5b4b8

12331433440440 has 96 divisors (see below), whose sum is σ = 40833331549920. Its totient is φ = 3226337297664.

The previous prime is 12331433440421. The next prime is 12331433440471. The reversal of 12331433440440 is 4404433413321.

12331433440440 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 143 + 34 + 40 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12331433440395 and 12331433440404.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 323131692 + ... + 323169851.

It is an arithmetic number, because the mean of its divisors is an integer number (425347203645).

Almost surely, 212331433440440 is an apocalyptic number.

12331433440440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12331433440440 is an abundant number, since it is smaller than the sum of its proper divisors (28501898109480).

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

12331433440440 is a wasteful number, since it uses less digits than its factorization.

12331433440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646301613 (or 646301606 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 12331433440440 its reverse (4404433413321), we get a palindrome (16735866853761).

The spelling of 12331433440440 in words is "twelve trillion, three hundred thirty-one billion, four hundred thirty-three million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1590 1908 2120 2385 3180 3816 4770 6360 9540 19080 646301543 1292603086 1938904629 2585206172 3231507715 3877809258 5170412344 5816713887 6463015430 7755618516 9694523145 11633427774 12926030860 15511237032 19389046290 23266855548 25852061720 29083569435 34253981779 38778092580 46533711096 58167138870 68507963558 77556185160 102761945337 116334277740 137015927116 171269908895 205523890674 232668555480 274031854232 308285836011 342539817790 411047781348 513809726685 616571672022 685079635580 822095562696 1027619453370 1233143344044 1370159271160 1541429180055 2055238906740 2466286688088 3082858360110 4110477813480 6165716720220 12331433440440