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14323382766 = 235721154679
BaseRepresentation
bin11010101011011110…
…10111100111101110
31100222012222020100000
431111233113213232
5213313241222031
610325143445130
71014642513300
oct152557274756
940865866300
1014323382766
1160901a3520
122938a567a6
131473605a24
1499c415970
1558c7103e6
hex355bd79ee

14323382766 has 144 divisors (see below), whose sum is σ = 40842023040. Its totient is φ = 3720291120.

The previous prime is 14323382747. The next prime is 14323382783. The reversal of 14323382766 is 66728332341.

14323382766 is a `hidden beast` number, since 1 + 43 + 2 + 338 + 276 + 6 = 666.

It is a super-2 number, since 2×143233827662 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 234615 + ... + 289293.

It is an arithmetic number, because the mean of its divisors is an integer number (283625160).

Almost surely, 214323382766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14323382766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20421011520).

14323382766 is an abundant number, since it is smaller than the sum of its proper divisors (26518640274).

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

14323382766 is a wasteful number, since it uses less digits than its factorization.

14323382766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54721 (or 54702 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 14323382766 in words is "fourteen billion, three hundred twenty-three million, three hundred eighty-two thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 81 98 99 126 147 154 162 189 198 231 243 294 297 378 441 462 486 539 567 594 693 882 891 1078 1134 1323 1386 1617 1701 1782 2079 2646 2673 3234 3402 3969 4158 4851 5346 6237 7938 9702 11907 12474 14553 18711 23814 29106 37422 43659 54679 87318 109358 130977 164037 261954 328074 382753 492111 601469 765506 984222 1148259 1202938 1476333 1804407 2296518 2679271 2952666 3444777 3608814 4210283 4428999 5358542 5413221 6889554 8037813 8420566 8857998 10334331 10826442 12630849 13286997 16075626 16239663 20668662 24113439 25261698 26573994 29471981 31002993 32479326 37892547 48226878 48718989 58943962 62005986 72340317 75785094 88415943 93008979 97437978 113677641 144680634 146156967 176831886 186017958 217020951 227355282 265247829 292313934 341032923 434041902 530495658 651062853 682065846 795743487 1023098769 1302125706 1591486974 2046197538 2387230461 4774460922 7161691383 14323382766