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14094684927477 = 32721117178395857
BaseRepresentation
bin1100110100011010110010…
…1100000011010111110101
31211220102211211022122012100
43031012230230003113311
53321411403320134402
645551001525412313
72653210301064600
oct315065454032765
954812754278170
1014094684927477
114544582215070
1216b778956a099
137b317a55a65b
1436a287653337
1519697d6e671c
hexcd1acb035f5

14094684927477 has 144 divisors (see below), whose sum is σ = 27371284117632. Its totient is φ = 6887276605440.

The previous prime is 14094684927439. The next prime is 14094684927493. The reversal of 14094684927477 is 77472948649041.

It is a happy number.

14094684927477 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 4 + 68 + 4 + 92 + 7 + 477 = 666.

It is not a de Polignac number, because 14094684927477 - 210 = 14094684926453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14094684927577) 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 143 ways as a sum of consecutive naturals, for example, 146990733 + ... + 147086589.

It is an arithmetic number, because the mean of its divisors is an integer number (190078361928).

Almost surely, 214094684927477 is an apocalyptic number.

14094684927477 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

14094684927477 is a deficient number, since it is larger than the sum of its proper divisors (13276599190155).

14094684927477 is a wasteful number, since it uses less digits than its factorization.

14094684927477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97688 (or 97678 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 72.

The spelling of 14094684927477 in words is "fourteen trillion, ninety-four billion, six hundred eighty-four million, nine hundred twenty-seven thousand, four hundred seventy-seven".

Divisors: 1 3 7 9 11 17 21 33 49 51 63 77 99 119 147 153 187 231 357 441 539 561 693 833 1071 1309 1617 1683 1783 2499 3927 4851 5349 7497 9163 11781 12481 16047 19613 27489 30311 37443 58839 82467 87367 90933 95857 112329 137291 176517 212177 262101 272799 287571 333421 411873 636531 670999 786303 862713 961037 1000263 1054427 1235619 1485239 1629569 1909593 2012997 2333947 2883111 3000789 3163281 4455717 4696993 4888707 6038991 7001841 7380989 8649333 9489843 11406983 13367151 14090979 14666121 16337629 17925259 21005523 22142967 34220949 42272937 49012887 51666923 53775777 66428901 79848881 102662847 125476813 147038661 155000769 161327331 170913031 239546643 376430439 465002307 512739093 718639929 878337691 1129291317 1196391217 1538217279 1880043341 2635013073 2905521527 3589173651 5640130023 7905039219 8374738519 8716564581 10767520953 13160303387 16920390069 20338650689 25124215557 26149693743 31960736797 39480910161 61015952067 75372646671 92122123709 95882210391 118442730483 142370554823 183047856201 223725157579 276366371127 287646631173 427111664469 671175472737 829099113381 1281334993407 1566076103053 2013526418211 4698228309159 14094684927477