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413042125545 = 325722716693461
BaseRepresentation
bin1100000001010110011…
…10101010101011101001
31110111010121121222211200
412000223032222223221
523231402241004140
6513425434114413
741561366065440
oct6005316525351
91414117558750
10413042125545
1114a19656a355
1268072b7ba09
132cc4666c1aa
1415dc4375d57
15ab268bc030
hex602b3aaae9

413042125545 has 96 divisors (see below), whose sum is σ = 822551258880. Its totient is φ = 187820536320.

The previous prime is 413042125519. The next prime is 413042125553. The reversal of 413042125545 is 545521240314.

413042125545 is a `hidden beast` number, since 41 + 30 + 4 + 21 + 25 + 545 = 666.

It is not a de Polignac number, because 413042125545 - 228 = 412773690089 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 119340115 + ... + 119343575.

It is an arithmetic number, because the mean of its divisors is an integer number (8568242280).

Almost surely, 2413042125545 is an apocalyptic number.

413042125545 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413042125545 is a deficient number, since it is larger than the sum of its proper divisors (409509133335).

413042125545 is a wasteful number, since it uses less digits than its factorization.

413042125545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5375 (or 5372 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 413042125545 its reverse (545521240314), we get a palindrome (958563365859).

The spelling of 413042125545 in words is "four hundred thirteen billion, forty-two million, one hundred twenty-five thousand, five hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 227 315 681 1135 1589 1669 2043 3405 3461 4767 5007 7945 8345 10215 10383 11683 14301 15021 17305 23835 24227 25035 31149 35049 51915 58415 71505 72681 75105 105147 121135 155745 175245 218043 363405 378863 525735 785647 1090215 1136589 1894315 2356941 2652041 3409767 3928235 5499529 5682945 5776409 7070823 7956123 11784705 13260205 16498587 17048835 17329227 23868369 27497645 28882045 35354115 39780615 40434863 49495761 51987681 82492935 86646135 119341845 121304589 202174315 247478805 259938405 363913767 606522945 1311244843 1819568835 3933734529 6556224215 9178713901 11801203587 19668672645 27536141703 45893569505 59006017935 82608425109 137680708515 413042125545