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13411452331305 = 335717839995023
BaseRepresentation
bin1100001100101001100011…
…0110100010010100101001
31202111010022011122121102000
43003022120312202110221
53224213123244100210
644305045224001213
72552642201614410
oct303123066422451
952433264577360
1013411452331305
114300846229106
121607290300209
13763904b55c52
143451911a2477
15183ce16bdac0
hexc3298da2529

13411452331305 has 128 divisors (see below), whose sum is σ = 28885944729600. Its totient is φ = 5763422149632.

The previous prime is 13411452331279. The next prime is 13411452331307. The reversal of 13411452331305 is 50313325411431.

13411452331305 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 14 + 5 + 2 + 331 + 305 = 666.

It is not a de Polignac number, because 13411452331305 - 27 = 13411452331177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13411452331305.

It is not an unprimeable number, because it can be changed into a prime (13411452331307) 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 127 ways as a sum of consecutive naturals, for example, 12981024 + ... + 13976046.

It is an arithmetic number, because the mean of its divisors is an integer number (225671443200).

Almost surely, 213411452331305 is an apocalyptic number.

13411452331305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13411452331305 is an abundant number, since it is smaller than the sum of its proper divisors (15474492398295).

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

13411452331305 is a wasteful number, since it uses less digits than its factorization.

13411452331305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995900 (or 995894 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 13411452331305 its reverse (50313325411431), we get a palindrome (63724777742736).

The spelling of 13411452331305 in words is "thirteen trillion, four hundred eleven billion, four hundred fifty-two million, three hundred thirty-one thousand, three hundred five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 85 105 119 135 153 189 255 315 357 459 595 765 839 945 1071 1785 2295 2517 3213 4195 5355 5873 7551 12585 14263 16065 17619 22653 29365 37755 42789 52857 71315 88095 99841 113265 128367 158571 213945 264285 299523 385101 499205 641835 792855 898569 995023 1497615 1925505 2695707 2985069 4492845 4975115 6965161 8955207 13478535 14925345 16915391 20895483 26865621 34825805 44776035 50746173 62686449 84576955 104477415 118407737 134328105 152238519 188059347 253730865 313432245 355223211 456715557 592038685 761192595 834824297 940296735 1065669633 1776116055 2283577785 2504472891 3197008899 4174121485 5328348165 5843770079 7513418673 12522364455 14192013049 15985044495 17531310237 22540256019 29218850395 37567093365 42576039147 52593930711 70960065245 87656551185 99344091343 112701280095 127728117441 157781792133 212880195735 262969653555 298032274029 383184352323 496720456715 638640587205 788908960665 894096822087 1490161370145 1915921761615 2682290466261 4470484110435 13411452331305