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201214131404 = 2211134718141351
BaseRepresentation
bin1011101101100101001…
…0111111110011001100
3201020100221212221200012
42323121102333303030
511244041304201104
6232234141052352
720352162616466
oct2733122776314
9636327787605
10201214131404
117837514a090
1232bb62570b8
1315c88a20820
149a4b44d136
155379d51d6e
hex2ed94bfccc

201214131404 has 96 divisors (see below), whose sum is σ = 424831260672. Its totient is φ = 82170720000.

The previous prime is 201214131403. The next prime is 201214131427. The reversal of 201214131404 is 404131412102.

It is a super-2 number, since 2×2012141314042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201214131404.

It is not an unprimeable number, because it can be changed into a prime (201214131401) 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 31 ways as a sum of consecutive naturals, for example, 4845329 + ... + 4886679.

It is an arithmetic number, because the mean of its divisors is an integer number (4425325632).

Almost surely, 2201214131404 is an apocalyptic number.

It is an amenable number.

201214131404 is an abundant number, since it is smaller than the sum of its proper divisors (223617129268).

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

201214131404 is a wasteful number, since it uses less digits than its factorization.

201214131404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41607 (or 41605 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 201214131404 its reverse (404131412102), we get a palindrome (605345543506).

The spelling of 201214131404 in words is "two hundred one billion, two hundred fourteen million, one hundred thirty-one thousand, four hundred four".

Divisors: 1 2 4 11 13 22 26 44 47 52 94 143 181 188 286 362 517 572 611 724 1034 1222 1991 2068 2353 2444 3982 4706 6721 7964 8507 9412 13442 17014 25883 26884 34028 41351 51766 82702 93577 103532 110591 165404 187154 221182 374308 442364 454861 537563 909722 1075126 1216501 1819444 1943497 2150252 2433002 3886994 4866004 5913193 7484531 7773988 11826386 14969062 21378467 23652772 25265461 29938124 42756934 50530922 82329841 85513868 97298903 101061844 164659682 194597806 277920071 329319364 351772957 389195612 555840142 703545914 1070287933 1111680284 1407091828 2140575866 3869502527 4281151732 4573048441 7739005054 9146096882 15478010108 18292193764 50303532851 100607065702 201214131404