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11114240343066 = 2327353444156267
BaseRepresentation
bin1010000110111011110001…
…0110001111110000011010
31110100111210112000101211200
42201232330112033300122
52424043431011434231
635345451142335030
72224656144112110
oct241567426176032
943314715011750
1011114240343066
1135a5582a20583
1212b602072a476
136280b72836a3
142a5d09993ab0
15144190b9ebe6
hexa1bbc58fc1a

11114240343066 has 96 divisors (see below), whose sum is σ = 27605644380288. Its totient is φ = 3165732218880.

The previous prime is 11114240342987. The next prime is 11114240343067. The reversal of 11114240343066 is 66034304241111.

11114240343066 is a `hidden beast` number, since 1 + 1 + 1 + 14 + 240 + 343 + 0 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11114240343066.

It is not an unprimeable number, because it can be changed into a prime (11114240343067) 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 47 ways as a sum of consecutive naturals, for example, 197498665 + ... + 197554931.

It is an arithmetic number, because the mean of its divisors is an integer number (287558795628).

Almost surely, 211114240343066 is an apocalyptic number.

11114240343066 is an abundant number, since it is smaller than the sum of its proper divisors (16491404037222).

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

11114240343066 is a wasteful number, since it uses less digits than its factorization.

11114240343066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61076 (or 61073 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 11114240343066 its reverse (66034304241111), we get a palindrome (77148544584177).

The spelling of 11114240343066 in words is "eleven trillion, one hundred fourteen billion, two hundred forty million, three hundred forty-three thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 353 706 1059 2118 2471 3177 4441 4942 6354 7413 8882 13323 14826 22239 26646 31087 39969 44478 56267 62174 79938 93261 112534 168801 186522 279783 337602 393869 506403 559566 787738 1012806 1181607 1567673 2363214 3135346 3544821 4703019 7089642 9406038 10973711 14109057 19862251 21947422 28218114 32921133 39724502 59586753 65842266 98763399 119173506 139035757 178760259 197526798 249881747 278071514 357520518 417107271 499763494 749645241 834214542 1251321813 1499290482 1749172229 2248935723 2502643626 3498344458 4497871446 5247516687 10495033374 15742550061 31485100122 88208256691 176416513382 264624770073 529249540146 617457796837 793874310219 1234915593674 1587748620438 1852373390511 3704746781022 5557120171533 11114240343066