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104434435413 = 327111372334721
BaseRepresentation
bin110000101000011000…
…1110000010101010101
3100222120012211000001100
41201100301300111111
53202340203413123
6115550532220313
710354661024430
oct1412061602525
9328505730040
10104434435413
1140321575060
12182a6a6a699
139b0443b519
1450a9d80817
152ab36c6643
hex1850c70555

104434435413 has 96 divisors (see below), whose sum is σ = 190298564352. Its totient is φ = 53613158400.

The previous prime is 104434435409. The next prime is 104434435463. The reversal of 104434435413 is 314534434401.

104434435413 is a `hidden beast` number, since 1 + 0 + 44 + 34 + 43 + 541 + 3 = 666.

It is not a de Polignac number, because 104434435413 - 22 = 104434435409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104434435463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22118893 + ... + 22123613.

It is an arithmetic number, because the mean of its divisors is an integer number (1982276712).

Almost surely, 2104434435413 is an apocalyptic number.

It is an amenable number.

104434435413 is a deficient number, since it is larger than the sum of its proper divisors (85864128939).

104434435413 is a wasteful number, since it uses less digits than its factorization.

104434435413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5115 (or 5112 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 104434435413 its reverse (314534434401), we get a palindrome (418968869814).

The spelling of 104434435413 in words is "one hundred four billion, four hundred thirty-four million, four hundred thirty-five thousand, four hundred thirteen".

Divisors: 1 3 7 9 11 21 33 63 77 99 137 231 233 411 693 699 959 1233 1507 1631 2097 2563 2877 4521 4721 4893 7689 8631 10549 13563 14163 14679 17941 23067 31647 31921 33047 42489 51931 53823 94941 95763 99141 155793 161469 223447 287289 297423 351131 363517 467379 646777 670341 1053393 1090551 1099993 1940331 2011023 2457917 3160179 3271653 3299979 4527439 5820993 7114547 7373751 7699951 9899937 12099923 13582317 21343641 22121253 23099853 36299769 40746951 49801829 64030923 69299559 84699461 108899307 149405487 150699041 254098383 448216461 452097123 762295149 1054893287 1356291369 1657689451 3164679861 4973068353 9494039583 11603826157 14919205059 34811478471 104434435413