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13841221045365 = 345724714839711
BaseRepresentation
bin1100100101101010100100…
…0100000100110001110101
31211000012121111022100010000
43021122221010010301311
53303233310041422430
645234322535021513
72625665234454300
oct311325104046165
954005544270100
1013841221045365
114457035492a2a
121676630b0a899
137952b596999c
1435bcc0ba5b37
15190096756e60
hexc96a9104c75

13841221045365 has 120 divisors (see below), whose sum is σ = 29476654175232. Its totient is φ = 6192789059520.

The previous prime is 13841221045343. The next prime is 13841221045411. The reversal of 13841221045365 is 56354012214831.

13841221045365 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 1 + 2 + 2 + 104 + 536 + 5 = 666.

It is not a de Polignac number, because 13841221045365 - 211 = 13841221043317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 13841221045365.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 6487141 + ... + 8352570.

Almost surely, 213841221045365 is an apocalyptic number.

13841221045365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13841221045365 is an abundant number, since it is smaller than the sum of its proper divisors (15635433129867).

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

13841221045365 is a wasteful number, since it uses less digits than its factorization.

13841221045365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14839789 (or 14839773 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 13841221045365 in words is "thirteen trillion, eight hundred forty-one billion, two hundred twenty-one million, forty-five thousand, three hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 47 49 63 81 105 135 141 147 189 235 245 315 329 405 423 441 567 705 735 945 987 1269 1323 1645 2115 2205 2303 2835 2961 3807 3969 4935 6345 6615 6909 8883 11515 14805 19035 19845 20727 26649 34545 44415 62181 103635 133245 186543 310905 932715 14839711 44519133 74198555 103877977 133557399 222595665 311633931 400672197 519389885 667786995 697466417 727145839 934901793 1202016591 1558169655 2003360985 2092399251 2181437517 2804705379 3487332085 3635729195 4674508965 4882264919 6010082955 6277197753 6544312551 8414116137 10461996255 10907187585 14023526895 14646794757 18831593259 19632937653 24411324595 31385988765 32721562755 34175854433 42070580685 43940384271 56494779777 58898812959 73233973785 94157966295 98164688265 102527563299 131821152813 170879272165 219701921355 282473898885 294494064795 307582689897 395463458439 512637816495 659105764065 922748069691 1537913449485 1977317292195 2768244209073 4613740348455 13841221045365