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2264343132114 = 232791126097561
BaseRepresentation
bin100000111100110101010…
…111100011011111010010
322000110122222002022102200
4200330311113203133102
5244044333320211424
64452120323424030
7322410351024360
oct40746527433722
98013588068380
102264343132114
117a3336737528
12306a17b25016
131356b005228b
147b848178630
153dd7a1088c9
hex20f355e37d2

2264343132114 has 96 divisors (see below), whose sum is σ = 5615993710080. Its totient is φ = 645911884800.

The previous prime is 2264343132113. The next prime is 2264343132157. The reversal of 2264343132114 is 4112313434622.

2264343132114 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 3 + 431 + 3 + 211 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (2264343132113) 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 47 ways as a sum of consecutive naturals, for example, 299472894 + ... + 299480454.

It is an arithmetic number, because the mean of its divisors is an integer number (58499934480).

Almost surely, 22264343132114 is an apocalyptic number.

2264343132114 is an abundant number, since it is smaller than the sum of its proper divisors (3351650577966).

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

2264343132114 is a wasteful number, since it uses less digits than its factorization.

2264343132114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11096 (or 11093 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 2264343132114 its reverse (4112313434622), we get a palindrome (6376656566736).

The spelling of 2264343132114 in words is "two trillion, two hundred sixty-four billion, three hundred forty-three million, one hundred thirty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 911 1822 2609 2733 5218 5466 6377 7561 7827 8199 12754 15122 15654 16398 18263 19131 22683 23481 36526 38262 45366 46962 52927 54789 57393 68049 105854 109578 114786 136098 158781 164367 317562 328734 476343 952686 2376799 4753598 6888071 7130397 13776142 14260794 16637593 19726649 20664213 21391191 33275186 39453298 41328426 42782382 48216497 49912779 59179947 61992639 96432994 99825558 118359894 123985278 138086543 144649491 149738337 177539841 276173086 289298982 299476674 355079682 414259629 433948473 828519258 867896946 1242778887 2485557774 17970977239 35941954478 53912931717 107825863434 125796840673 161738795151 251593681346 323477590302 377390522019 754781044038 1132171566057 2264343132114