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41643163065141 = 34113116317951673
BaseRepresentation
bin10010111011111110011011…
…11100010001101100110101
312110110001021122010101110000
421131333031330101230311
520424240144221041031
6224322334403221513
711525422254460611
oct1135771574215465
9173401248111400
1041643163065141
11122a5847a08220
124806883077899
131a30c1997c221
14a3d77b4a6341
154c337a83c3e6
hex25dfcdf11b35

41643163065141 has 160 divisors (see below), whose sum is σ = 70876951326720. Its totient is φ = 24138223430400.

The previous prime is 41643163065131. The next prime is 41643163065221. The reversal of 41643163065141 is 14156036134614.

It is a happy number.

41643163065141 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 3 + 1 + 630 + 6 + 5 + 1 + 4 + 1 = 666.

It is not a de Polignac number, because 41643163065141 - 235 = 41608803326773 is a prime.

It is a super-3 number, since 3×416431630651413 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41643163065131) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 805872081 + ... + 805923753.

It is an arithmetic number, because the mean of its divisors is an integer number (442980945792).

Almost surely, 241643163065141 is an apocalyptic number.

It is an amenable number.

41643163065141 is a deficient number, since it is larger than the sum of its proper divisors (29233788261579).

41643163065141 is a wasteful number, since it uses less digits than its factorization.

41643163065141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52069 (or 52060 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

Adding to 41643163065141 its reverse (14156036134614), we get a palindrome (55799199199755).

The spelling of 41643163065141 in words is "forty-one trillion, six hundred forty-three billion, one hundred sixty-three million, sixty-five thousand, one hundred forty-one".

Divisors: 1 3 9 11 27 31 33 81 93 99 163 179 279 297 341 489 537 837 891 1023 1467 1611 1793 1969 2511 3069 4401 4833 5053 5379 5549 5907 9207 13203 14499 15159 16137 16647 17721 27621 29177 45477 48411 49941 51673 53163 55583 61039 87531 136431 145233 149823 155019 159489 166749 183117 262593 320947 409293 449469 465057 500247 549351 568403 787779 904487 962841 1395171 1500741 1601863 1648053 1705209 2363337 2713461 2888523 4185513 4502223 4805589 4944159 5115627 8140383 8422699 8665569 9249467 9949357 14416767 15346881 17620493 24421149 25268097 25996707 27748401 29848071 43250301 46040643 52861479 73263447 75804291 83245203 89544213 92649689 101744137 129750903 158584437 227412873 249735609 261103669 268632639 277949067 286733477 305232411 475753311 682238619 749206827 783311007 805897917 833847201 860200431 915697233 1427259933 1507663121 2349933021 2501541603 2580601293 2747091699 2872140359 3154068247 4522989363 7049799063 7504624809 7741803879 8241275097 8616421077 9462204741 13568968089 16584294331 21149397189 23225411637 25849263231 28386614223 40706904267 46737556751 49752882993 77547789693 85159842669 122120712801 140212670253 149258648979 232643369079 255479528007 420638010759 447775946937 514113124261 1261914032277 1343327840811 1542339372783 3785742096831 4627018118349 13881054355047 41643163065141