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14141285892 = 22322937418929
BaseRepresentation
bin11010010101110001…
…01110011000000100
31100111112022202101100
431022320232120010
5212430132122032
610255120500100
71010301642516
oct151270563004
940445282340
1014141285892
115aa7429438
1228a7a7a630
1314449795b6
14982173bb6
1557b74097c
hex34ae2e604

14141285892 has 144 divisors (see below), whose sum is σ = 38908724400. Its totient is φ = 4319723520.

The previous prime is 14141285827. The next prime is 14141285909. The reversal of 14141285892 is 29858214141.

14141285892 is a `hidden beast` number, since 1 + 4 + 1 + 41 + 28 + 589 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1551099456 + 12590186436 = 39384^2 + 112206^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1579284 + ... + 1588212.

It is an arithmetic number, because the mean of its divisors is an integer number (270199475).

Almost surely, 214141285892 is an apocalyptic number.

14141285892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14141285892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19454362200).

14141285892 is an abundant number, since it is smaller than the sum of its proper divisors (24767438508).

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

14141285892 is a wasteful number, since it uses less digits than its factorization.

14141285892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9046 (or 9041 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The spelling of 14141285892 in words is "fourteen billion, one hundred forty-one million, two hundred eighty-five thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 37 41 58 74 82 87 111 116 123 148 164 174 222 246 261 333 348 369 444 492 522 666 738 1044 1073 1189 1332 1476 1517 2146 2378 3034 3219 3567 4292 4551 4756 6068 6438 7134 8929 9102 9657 10701 12876 13653 14268 17858 18204 19314 21402 26787 27306 35716 38628 42804 43993 53574 54612 80361 87986 107148 131979 160722 175972 258941 263958 321444 330373 366089 395937 517882 527916 660746 732178 776823 791874 991119 1035764 1098267 1321492 1464356 1553646 1583748 1982238 2196534 2330469 2973357 3107292 3294801 3964476 4393068 4660938 5946714 6589602 9321876 9580817 10616581 11893428 13179204 13545293 19161634 21233162 27090586 28742451 31849743 38323268 40635879 42466324 54181172 57484902 63699486 81271758 86227353 95549229 114969804 121907637 127398972 162543516 172454706 191098458 243815274 344909412 382196916 392813497 487630548 785626994 1178440491 1571253988 2356880982 3535321473 4713761964 7070642946 14141285892