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12344133410 = 257243585863
BaseRepresentation
bin10110111111100010…
…01000011100100010
31011212021122221122022
423133301020130202
5200240044232120
65400521341442
7614620255100
oct133761103442
934767587568
1012344133410
115264a3a154
122486037882
13121954566b
148515dcc70
154c3a9b025
hex2dfc48722

12344133410 has 48 divisors (see below), whose sum is σ = 26448244416. Its totient is φ = 4133842272.

The previous prime is 12344133409. The next prime is 12344133421. The reversal of 12344133410 is 1433144321.

It is a happy number.

12344133410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12344133410.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271862 + ... + 314001.

It is an arithmetic number, because the mean of its divisors is an integer number (551005092).

Almost surely, 212344133410 is an apocalyptic number.

12344133410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12344133410 is an abundant number, since it is smaller than the sum of its proper divisors (14104111006).

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

12344133410 is a wasteful number, since it uses less digits than its factorization.

12344133410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585927 (or 585920 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 12344133410 its reverse (1433144321), we get a palindrome (13777277731).

The spelling of 12344133410 in words is "twelve billion, three hundred forty-four million, one hundred thirty-three thousand, four hundred ten".

Divisors: 1 2 5 7 10 14 35 43 49 70 86 98 215 245 301 430 490 602 1505 2107 3010 4214 10535 21070 585863 1171726 2929315 4101041 5858630 8202082 20505205 25192109 28707287 41010410 50384218 57414574 125960545 143536435 176344763 251921090 287072870 352689526 881723815 1234413341 1763447630 2468826682 6172066705 12344133410