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14134022340 = 22351578531759
BaseRepresentation
bin11010010100111010…
…00001000011000100
31100111000122201122220
431022131001003010
5212421302203330
610254301052340
71010153131134
oct151235010304
940430581586
1014134022340
115aa33181a9
1228a55570b0
131443305439
14981202ac4
1557aca8710
hex34a7410c4

14134022340 has 96 divisors (see below), whose sum is σ = 39896693760. Its totient is φ = 3738548736.

The previous prime is 14134022339. The next prime is 14134022341. The reversal of 14134022340 is 4322043141.

It is an interprime number because it is at equal distance from previous prime (14134022339) and next prime (14134022341).

It is a self number, because there is not a number n which added to its sum of digits gives 14134022340.

It is not an unprimeable number, because it can be changed into a prime (14134022341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8034381 + ... + 8036139.

It is an arithmetic number, because the mean of its divisors is an integer number (415590560).

Almost surely, 214134022340 is an apocalyptic number.

14134022340 is a gapful number since it is divisible by the number (10) 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 14134022340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19948346880).

14134022340 is an abundant number, since it is smaller than the sum of its proper divisors (25762671420).

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

14134022340 is a wasteful number, since it uses less digits than its factorization.

14134022340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14134022340 its reverse (4322043141), we get a palindrome (18456065481).

The spelling of 14134022340 in words is "fourteen billion, one hundred thirty-four million, twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 853 942 1570 1706 1759 1884 2355 2559 3140 3412 3518 4265 4710 5118 5277 7036 8530 8795 9420 10236 10554 12795 17060 17590 21108 25590 26385 35180 51180 52770 105540 133921 267842 276163 401763 535684 552326 669605 803526 828489 1104652 1339210 1380815 1500427 1607052 1656978 2008815 2678420 2761630 3000854 3313956 4017630 4142445 4501281 5523260 6001708 7502135 8035260 8284890 9002562 15004270 16569780 18005124 22506405 30008540 45012810 90025620 235567039 471134078 706701117 942268156 1177835195 1413402234 2355670390 2826804468 3533505585 4711340780 7067011170 14134022340