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41424003410220 = 22325266391739421
BaseRepresentation
bin10010110101100110001110…
…00000100010100100101100
312102200002121000120101102200
421122303013000202210230
520412142324333111340
6224033531403221500
711503533264236424
oct1132630700424454
9172602530511380
1041424003410220
1112220904004772
1247902bab17890
131a163610c2c42
14a32d0a96b484
154bc8002e3330
hex25acc702292c

41424003410220 has 144 divisors (see below), whose sum is σ = 125727042272832. Its totient is φ = 11039877066240.

The previous prime is 41424003410183. The next prime is 41424003410287. The reversal of 41424003410220 is 2201430042414.

41424003410220 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 400 + 34 + 1 + 0 + 220 = 666.

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 47 ways as a sum of consecutive naturals, for example, 4396981110 + ... + 4396990530.

It is an arithmetic number, because the mean of its divisors is an integer number (873104460228).

Almost surely, 241424003410220 is an apocalyptic number.

It is an amenable number.

41424003410220 is an abundant number, since it is smaller than the sum of its proper divisors (84303038862612).

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

41424003410220 is a wasteful number, since it uses less digits than its factorization.

41424003410220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21272 (or 21267 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 41424003410220 its reverse (2201430042414), we get a palindrome (43625433452634).

The spelling of 41424003410220 in words is "forty-one trillion, four hundred twenty-four billion, three million, four hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2663 5326 7989 9173 9421 10652 13315 15978 18346 18842 23967 26630 27519 28263 31956 36692 37684 39945 45865 47105 47934 53260 55038 56526 79890 82557 84789 91730 94210 95868 110076 113052 119835 137595 141315 159780 165114 169578 183460 188420 239670 275190 282630 330228 339156 412785 423945 479340 550380 565260 825570 847890 1651140 1695780 24427699 25088123 48855398 50176246 73283097 75264369 86418833 97710796 100352492 122138495 125440615 146566194 150528738 172837666 219849291 225793107 244276990 250881230 259256499 293132388 301057476 345675332 366415485 376321845 432094165 439698582 451586214 488553980 501762460 518512998 732830970 752643690 777769497 864188330 879397164 903172428 1037025996 1099246455 1128965535 1296282495 1465661940 1505287380 1555538994 1728376660 2198492910 2257931070 2592564990 3111077988 3888847485 4396985820 4515862140 5185129980 7777694970 15555389940 230133352279 460266704558 690400056837 920533409116 1150666761395 1380800113674 2071200170511 2301333522790 2761600227348 3452000284185 4142400341022 4602667045580 6904000568370 8284800682044 10356000852555 13808001136740 20712001705110 41424003410220