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404000141443299 = 3217192326922462411
BaseRepresentation
bin101101111011011111001110…
…0111010111000000011100011
31221222110000222111002212210200
41123312332130322320003203
5410423114242202141144
63551123034112400243
7151045022060116542
oct13366763472700343
91858400874085720
10404000141443299
111077aa552645755
1239389b25b46083
131445708573a73b
1471a99d5686159
1531a8e86727c69
hex16f6f9ceb80e3

404000141443299 has 96 divisors (see below), whose sum is σ = 681204091276800. Its totient is φ = 228853502254080.

The previous prime is 404000141443279. The next prime is 404000141443309. The reversal of 404000141443299 is 992344141000404.

404000141443299 is a `hidden beast` number, since 4 + 0 + 40 + 0 + 0 + 141 + 443 + 29 + 9 = 666.

It is not a de Polignac number, because 404000141443299 - 29 = 404000141442787 is a prime.

It is a super-2 number, since 2×4040001414432992 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (404000141443229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6754404 + ... + 29216814.

It is an arithmetic number, because the mean of its divisors is an integer number (7095875950800).

Almost surely, 2404000141443299 is an apocalyptic number.

404000141443299 is a deficient number, since it is larger than the sum of its proper divisors (277203949833501).

404000141443299 is a wasteful number, since it uses less digits than its factorization.

404000141443299 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22462745 (or 22462742 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 404000141443299 in words is "four hundred four trillion, one hundred forty-one million, four hundred forty-three thousand, two hundred ninety-nine".

Divisors: 1 3 9 17 19 23 51 57 69 153 171 207 269 323 391 437 807 969 1173 1311 2421 2907 3519 3933 4573 5111 6187 7429 13719 15333 18561 22287 41157 45999 55683 66861 86887 105179 117553 260661 315537 352659 781983 946611 1057977 1998401 5995203 17985609 22462411 67387233 202161699 381860987 426785809 516635453 1145582961 1280357427 1549906359 3436748883 3841072281 4649719077 6042388559 7255358753 8782802701 9816073607 18127165677 21766076259 26348408103 29448220821 54381497031 65298228777 79045224309 88344662463 102720605503 114805382621 138974936857 166873251319 308161816509 344416147863 416924810571 500619753957 924485449527 1033248443589 1250774431713 1501859261871 1951691504557 2362573926569 2640523800283 5855074513671 7087721779707 7921571400849 17565223541013 21263165339121 23764714202547 44888904604811 134666713814433 404000141443299