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201431435500404 = 223417225671620539
BaseRepresentation
bin101101110011001101101001…
…001010001101101101110100
3222102012122202002001201210000
4231303031221022031231310
5202400223034442003104
61552224153552031300
760266640515314014
oct5563155112155564
9872178662051700
10201431435500404
115920065704033a
121a712918232530
138851b97789065
1437a549518bc44
151844a61d81639
hexb7336928db74

201431435500404 has 120 divisors (see below), whose sum is σ = 557581998093120. Its totient is φ = 63191336557824.

The previous prime is 201431435500403. The next prime is 201431435500429. The reversal of 201431435500404 is 404005534134102.

201431435500404 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 3 + 143 + 5 + 500 + 4 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201431435500403) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 123488767 + ... + 125109305.

It is an arithmetic number, because the mean of its divisors is an integer number (4646516650776).

Almost surely, 2201431435500404 is an apocalyptic number.

It is an amenable number.

201431435500404 is an abundant number, since it is smaller than the sum of its proper divisors (356150562592716).

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

201431435500404 is a wasteful number, since it uses less digits than its factorization.

201431435500404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643139 (or 1643128 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 201431435500404 its reverse (404005534134102), we get a palindrome (605436969634506).

The spelling of 201431435500404 in words is "two hundred one trillion, four hundred thirty-one billion, four hundred thirty-five million, five hundred thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 22567 45134 67701 90268 135402 203103 270804 383639 406206 609309 767278 812412 1150917 1218618 1534556 1620539 1827927 2301834 2437236 3241078 3452751 3655854 4603668 4861617 6482156 6905502 7311708 9723234 10358253 13811004 14584851 19446468 20716506 27549163 29169702 31074759 41433012 43754553 55098326 58339404 62149518 82647489 87509106 110196652 124299036 131263659 165294978 175018212 247942467 262527318 330589956 495884934 525054636 743827401 991769868 1487654802 2231482203 2975309604 4462964406 8925928812 36570703613 73141407226 109712110839 146282814452 219424221678 329136332517 438848443356 621701961421 658272665034 987408997551 1243403922842 1316545330068 1865105884263 1974817995102 2486807845684 2962226992653 3730211768526 3949635990204 5595317652789 5924453985306 7460423537052 11190635305578 11848907970612 16785952958367 22381270611156 33571905916734 50357858875101 67143811833468 100715717750202 201431435500404