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4032111404013 = 372118938477283
BaseRepresentation
bin111010101011001100100…
…100010110001111101101
3112021110120202222001002220
4322223030210112033231
51012030231004412023
612324154300505553
7564211323303600
oct72531444261755
915243522861086
104032111404013
1113150108527a0
12551549b4b2b9
132332c3742304
14dd225d62337
156ed401503e3
hex3aacc9163ed

4032111404013 has 96 divisors (see below), whose sum is σ = 6901819591680. Its totient is φ = 2070245802240.

The previous prime is 4032111403997. The next prime is 4032111404021. The reversal of 4032111404013 is 3104041112304.

It is not a de Polignac number, because 4032111404013 - 24 = 4032111403997 is a prime.

It is a super-2 number, since 2×40321114040132 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032111404213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 553629670 + ... + 553636952.

It is an arithmetic number, because the mean of its divisors is an integer number (71893954080).

Almost surely, 24032111404013 is an apocalyptic number.

It is an amenable number.

4032111404013 is a deficient number, since it is larger than the sum of its proper divisors (2869708187667).

4032111404013 is a wasteful number, since it uses less digits than its factorization.

4032111404013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11247 (or 11240 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 4032111404013 its reverse (3104041112304), we get a palindrome (7136152516317).

The spelling of 4032111404013 in words is "four trillion, thirty-two billion, one hundred eleven million, four hundred four thousand, thirteen".

Divisors: 1 3 7 11 21 33 49 77 89 147 231 267 539 623 979 1617 1869 2937 3847 4361 6853 7283 11541 13083 20559 21849 26929 42317 47971 50981 80113 80787 126951 143913 152943 188503 240339 296219 342383 356867 560791 565509 648187 888657 1027149 1070601 1682373 1944561 2073533 2396681 3766213 3925537 4537309 6220599 7130057 7190043 11298639 11776611 13611927 16776767 21390171 26363491 28017701 31761163 49910399 50330301 79090473 84053103 95283489 149731197 184544437 196123907 308194711 349372793 553633311 588371721 924584133 1048118379 1372867349 2157362977 2493575389 4118602047 6472088931 7480726167 15101540839 17455027723 27429329279 45304622517 52365083169 82287987837 122185194061 192005304953 366555582183 576015914859 1344037134671 4032111404013