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11404150125255 = 345194136146849
BaseRepresentation
bin1010010111110011110001…
…0100010011001011000111
31111101020002211102020220000
42211330330110103023013
52443321144413002010
640130554431212343
72254631320442016
oct245747424231307
944336084366800
1011404150125255
1136a7522492898
12134224a9770b3
136495397c79c4
142b5d6c9aaa7d
1514b9ac5ce7c0
hexa5f3c5132c7

11404150125255 has 80 divisors (see below), whose sum is σ = 22043795004000. Its totient is φ = 5621557800960.

The previous prime is 11404150125119. The next prime is 11404150125271. The reversal of 11404150125255 is 55252105140411.

11404150125255 is a `hidden beast` number, since 1 + 1 + 40 + 41 + 50 + 1 + 2 + 525 + 5 = 666.

It is not a de Polignac number, because 11404150125255 - 216 = 11404150059719 is a prime.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 17757930 + ... + 18388919.

It is an arithmetic number, because the mean of its divisors is an integer number (275547437550).

Almost surely, 211404150125255 is an apocalyptic number.

11404150125255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11404150125255 is a deficient number, since it is larger than the sum of its proper divisors (10639644878745).

11404150125255 is a wasteful number, since it uses less digits than its factorization.

11404150125255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36146926 (or 36146917 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

Adding to 11404150125255 its reverse (55252105140411), we get a palindrome (66656255265666).

The spelling of 11404150125255 in words is "eleven trillion, four hundred four billion, one hundred fifty million, one hundred twenty-five thousand, two hundred fifty-five".

Divisors: 1 3 5 9 15 19 27 41 45 57 81 95 123 135 171 205 285 369 405 513 615 779 855 1107 1539 1845 2337 2565 3321 3895 5535 7011 7695 11685 16605 21033 35055 63099 105165 315495 36146849 108440547 180734245 325321641 542202735 686790131 975964923 1482020809 1626608205 2060370393 2927894769 3433950655 4446062427 4879824615 6181111179 7410104045 10301851965 13338187281 14639473845 18543333537 22230312135 28158395371 30905555895 40014561843 55630000611 66690936405 84475186113 92716667685 120043685529 140791976855 200072809215 253425558339 278150003055 422375930565 600218427645 760276675017 1267127791695 2280830025051 3801383375085 11404150125255