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12434345415 = 3256711336497
BaseRepresentation
bin10111001010010010…
…10000110111000111
31012002120102012020200
423211021100313013
5200431143023130
65413503101543
7620064122622
oct134511206707
935076365220
1012434345415
115300955828
1224b02a18b3
13123213cc4b
1485d5a2db9
154cb96a760
hex2e5250dc7

12434345415 has 48 divisors (see below), whose sum is σ = 22068734688. Its totient is φ = 6474682368.

The previous prime is 12434345387. The next prime is 12434345437. The reversal of 12434345415 is 51454343421.

12434345415 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12434345415 - 211 = 12434343367 is a prime.

It is a super-2 number, since 2×124343454152 (a number of 21 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 12434345415.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 322447 + ... + 358943.

It is an arithmetic number, because the mean of its divisors is an integer number (459765306).

Almost surely, 212434345415 is an apocalyptic number.

12434345415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12434345415 is a deficient number, since it is larger than the sum of its proper divisors (9634389273).

12434345415 is a wasteful number, since it uses less digits than its factorization.

12434345415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36688 (or 36685 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 12434345415 its reverse (51454343421), we get a palindrome (63888688836).

The spelling of 12434345415 in words is "twelve billion, four hundred thirty-four million, three hundred forty-five thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 45 67 113 201 335 339 565 603 1005 1017 1695 3015 5085 7571 22713 36497 37855 68139 109491 113565 182485 328473 340695 547455 1642365 2445299 4124161 7335897 12226495 12372483 20620805 22007691 36679485 37117449 61862415 110038455 185587245 276318787 828956361 1381593935 2486869083 4144781805 12434345415