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12942443043612 = 2235171693462641
BaseRepresentation
bin1011110001010110010110…
…1110000101101100011100
31200211021201002221012100000
42330111211232011230130
53144022110404343422
643305402023134300
72504026542502665
oct274254556055434
950737632835300
1012942443043612
11413a94a764545
1215503b9ba4390
1372b60c407b84
1432a5bbbd836c
151769e165dcac
hexbc565b85b1c

12942443043612 has 144 divisors (see below), whose sum is σ = 35944329893472. Its totient is φ = 4057967185920.

The previous prime is 12942443043601. The next prime is 12942443043617. The reversal of 12942443043612 is 21634034424921.

12942443043612 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 24 + 4 + 3 + 0 + 4 + 3 + 612 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12942443043617) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 27743812 + ... + 28206452.

It is an arithmetic number, because the mean of its divisors is an integer number (249613402038).

Almost surely, 212942443043612 is an apocalyptic number.

12942443043612 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 12942443043612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17972164946736).

12942443043612 is an abundant number, since it is smaller than the sum of its proper divisors (23001886849860).

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

12942443043612 is a wasteful number, since it uses less digits than its factorization.

12942443043612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464370 (or 464356 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 12942443043612 in words is "twelve trillion, nine hundred forty-two billion, four hundred forty-three million, forty-three thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 918 972 1377 1693 1836 2754 3386 4131 5079 5508 6772 8262 10158 15237 16524 20316 28781 30474 45711 57562 60948 86343 91422 115124 137133 172686 182844 259029 274266 345372 411399 462641 518058 548532 777087 822798 925282 1036116 1387923 1554174 1645596 1850564 2331261 2775846 3108348 4163769 4662522 5551692 6993783 7864897 8327538 9325044 12491307 13987566 15729794 16655076 23594691 24982614 27975132 31459588 37473921 47189382 49965228 70784073 74947842 94378764 112421763 141568146 149895684 212352219 224843526 283136292 424704438 449687052 637056657 783251213 849408876 1274113314 1566502426 1911169971 2349753639 2548226628 3133004852 3822339942 4699507278 7049260917 7644679884 9399014556 13315270621 14098521834 21147782751 26630541242 28197043668 39945811863 42295565502 53261082484 63443348253 79891623726 84591131004 119837435589 126886696506 159783247452 190330044759 239674871178 253773393012 359512306767 380660089518 479349742356 719024613534 761320179036 1078536920301 1438049227068 2157073840602 3235610760903 4314147681204 6471221521806 12942443043612