Search a number
-
+
200404131023241 = 34233743132750951
BaseRepresentation
bin101101100100010000111001…
…000010101000100110001001
3222021120110002110110011010000
4231210100321002220212021
5202231410130020220431
61550120215315513213
760132502121324205
oct5544207102504611
9867513073404100
10200404131023241
1158944a0748a642
121a5877b5bb8809
1387a904a705072
14376b87c6c5b05
151827e8848e9e6
hexb644390a8989

200404131023241 has 160 divisors (see below), whose sum is σ = 328542983036928. Its totient is φ = 121354516483200.

The previous prime is 200404131023153. The next prime is 200404131023329. The reversal of 200404131023241 is 142320131404002.

200404131023241 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 0 + 413 + 1 + 0 + 2 + 3 + 241 = 666.

It is an interprime number because it is at equal distance from previous prime (200404131023153) and next prime (200404131023329).

It is not a de Polignac number, because 200404131023241 - 29 = 200404131022729 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (200404131023741) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 3933246316 + ... + 3933297266.

Almost surely, 2200404131023241 is an apocalyptic number.

It is an amenable number.

200404131023241 is a deficient number, since it is larger than the sum of its proper divisors (128138852013687).

200404131023241 is a wasteful number, since it uses less digits than its factorization.

200404131023241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52393 (or 52384 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 200404131023241 its reverse (142320131404002), we get a palindrome (342724262427243).

The spelling of 200404131023241 in words is "two hundred trillion, four hundred four billion, one hundred thirty-one million, twenty-three thousand, two hundred forty-one".

Divisors: 1 3 9 23 27 37 43 69 81 111 129 207 333 387 621 851 989 999 1161 1327 1591 1863 2553 2967 2997 3483 3981 4773 7659 8901 11943 14319 22977 26703 30521 35829 36593 42957 49099 50951 57061 68931 80109 91563 107487 109779 128871 147297 152853 171183 274689 329337 441891 458559 513549 824067 988011 1129277 1171873 1312403 1325673 1375677 1540647 1885187 2111257 2190893 2472201 2964033 3387831 3515619 3937209 3977019 4127031 4621941 5655561 6333771 6572679 10163493 10546857 11811627 16966683 19001313 19718037 30490479 31640571 35434881 43359301 48558911 50390539 50900049 57003939 59154111 67611977 81063041 91471437 94921713 106304643 130077903 145676733 151171617 152700147 171011817 177462333 202835931 243189123 390233709 437030199 453514851 608507793 729567369 1170701127 1311090597 1360544553 1555075471 1825523379 1864449943 2188702107 2501643149 2907315011 3512103381 3933271791 4081633659 4665226413 5476570137 5593349829 6566106321 7504929447 8721945033 13995679239 16780049487 22514788341 26165835099 41987037717 50340148461 57537792427 66868245253 67544365023 78497505297 107570655407 125961113151 151020445383 172613377281 200604735759 202633095069 235492515891 322711966221 517840131843 601814207277 968135898663 1553520395529 1805442621831 2474125074361 2904407695989 4660561186587 5416327865493 7422375223083 8713223087967 22267125669249 66801377007747 200404131023241