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468231322014 = 2321731148133329
BaseRepresentation
bin1101101000001001100…
…00101111100110011110
31122202120211211122210100
412310010300233212132
530132414204301024
6555034050121530
745554131366041
oct6640460574636
91582524748710
10468231322014
11170637413525
12768b58802a6
1335200511571
141893bd36c58
15c2a6adb7c9
hex6d04c2f99e

468231322014 has 96 divisors (see below), whose sum is σ = 1109610627840. Its totient is φ = 142057267200.

The previous prime is 468231322003. The next prime is 468231322043. The reversal of 468231322014 is 410223132864.

468231322014 is a `hidden beast` number, since 46 + 82 + 313 + 220 + 1 + 4 = 666.

468231322014 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4682313220142 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 468231322014.

It is a congruent number.

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, 14032102 + ... + 14065430.

It is an arithmetic number, because the mean of its divisors is an integer number (11558444040).

Almost surely, 2468231322014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468231322014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554805313920).

468231322014 is an abundant number, since it is smaller than the sum of its proper divisors (641379305826).

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

468231322014 is a wasteful number, since it uses less digits than its factorization.

468231322014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34866 (or 34863 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 468231322014 its reverse (410223132864), we get a palindrome (878454454878).

The spelling of 468231322014 in words is "four hundred sixty-eight billion, two hundred thirty-one million, three hundred twenty-two thousand, fourteen".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 558 1054 1481 1581 2962 3162 4443 4743 8886 9486 13329 25177 26658 33329 45911 50354 66658 75531 91822 99987 137733 151062 199974 226593 275466 299961 413199 453186 566593 599922 780487 826398 1033199 1133186 1560974 1699779 2066398 2341461 3099597 3399558 4682922 5099337 6199194 7024383 9298791 10198674 14048766 17564383 18597582 35128766 49360249 52693149 98720498 105386298 148080747 158079447 296161494 316158894 444242241 839124233 888484482 1530167719 1678248466 2517372699 3060335438 4590503157 5034745398 7552118097 9181006314 13771509471 15104236194 26012851223 27543018942 52025702446 78038553669 156077107338 234115661007 468231322014