Search a number
-
+
114823644804 = 22321110317915727
BaseRepresentation
bin110101011110000000…
…1011100011010000100
3101222101020221112002100
41222330001130122010
53340124323113204
6124425501112100
711203302606561
oct1527401343204
9358336845070
10114823644804
1144772a54920
121a306258630
13aa9b95c8bb
1457b3a99868
152ec0815a39
hex1abc05c684

114823644804 has 144 divisors (see below), whose sum is σ = 321515550720. Its totient is φ = 34262550720.

The previous prime is 114823644797. The next prime is 114823644811. The reversal of 114823644804 is 408446328411.

114823644804 is a `hidden beast` number, since 1 + 148 + 23 + 6 + 4 + 480 + 4 = 666.

114823644804 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (114823644797) and next prime (114823644811).

It is a self number, because there is not a number n which added to its sum of digits gives 114823644804.

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, 7293189 + ... + 7308915.

It is an arithmetic number, because the mean of its divisors is an integer number (2232746880).

Almost surely, 2114823644804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114823644804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160757775360).

114823644804 is an abundant number, since it is smaller than the sum of its proper divisors (206691905916).

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

114823644804 is a wasteful number, since it uses less digits than its factorization.

114823644804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16030 (or 16025 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 114823644804 in words is "one hundred fourteen billion, eight hundred twenty-three million, six hundred forty-four thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 103 132 179 198 206 309 358 396 412 537 618 716 927 1074 1133 1236 1611 1854 1969 2148 2266 3222 3399 3708 3938 4532 5907 6444 6798 7876 10197 11814 13596 15727 17721 18437 20394 23628 31454 35442 36874 40788 47181 55311 62908 70884 73748 94362 110622 141543 165933 172997 188724 202807 221244 283086 331866 345994 405614 518991 566172 608421 663732 691988 811228 1037982 1216842 1556973 1619881 1825263 2075964 2433684 2815133 3113946 3239762 3650526 4859643 5630266 6227892 6479524 7301052 8445399 9719286 11260532 14578929 16890798 17818691 19438572 25336197 29157858 30966463 33781596 35637382 50672394 53456073 58315716 61932926 71274764 92899389 101344788 106912146 123865852 160368219 185798778 213824292 278698167 289958699 320736438 371597556 557396334 579917398 641472876 869876097 1114792668 1159834796 1739752194 2609628291 3189545689 3479504388 5219256582 6379091378 9568637067 10438513164 12758182756 19137274134 28705911201 38274548268 57411822402 114823644804