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14452104136410 = 23251767371402081
BaseRepresentation
bin1101001001001110010010…
…0010001000011011011010
31220011121101222121200220100
43102103210202020123122
53343240402124331120
650423112135440230
73021062420166603
oct322234442103332
956147358550810
1014452104136410
114672115023946
121754ab8526076
1380aa9b23a825
1437d6b25a6daa
151a0debc6e490
hexd24e48886da

14452104136410 has 96 divisors (see below), whose sum is σ = 39791726509392. Its totient is φ = 3626653777920.

The previous prime is 14452104136391. The next prime is 14452104136489. The reversal of 14452104136410 is 1463140125441.

14452104136410 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 2 + 1 + 0 + 4 + 1 + 3 + 641 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12994388381529 + 1457715754881 = 3604773^2 + 1207359^2 .

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, 9606570 + ... + 11008650.

Almost surely, 214452104136410 is an apocalyptic number.

14452104136410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14452104136410 is an abundant number, since it is smaller than the sum of its proper divisors (25339622372982).

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

14452104136410 is a wasteful number, since it uses less digits than its factorization.

14452104136410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408848 (or 1408845 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 14452104136410 in words is "fourteen trillion, four hundred fifty-two billion, one hundred four million, one hundred thirty-six thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 6737 13474 20211 33685 40422 60633 67370 101055 114529 121266 202110 229058 303165 343587 572645 606330 687174 1030761 1145290 1402081 1717935 2061522 2804162 3435870 4206243 5153805 7010405 8412486 10307610 12618729 14020810 21031215 23835377 25237458 42062430 47670754 63093645 71506131 119176885 126187290 143012262 214518393 238353770 357530655 429036786 715061310 1072591965 2145183930 9445819697 18891639394 28337459091 47229098485 56674918182 85012377273 94458196970 141687295455 160578934849 170024754546 283374590910 321157869698 425061886365 481736804547 802894674245 850123772730 963473609094 1445210413641 1605789348490 2408684022735 2890420827282 4817368045470 7226052068205 14452104136410