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12344114430 = 2325277495151
BaseRepresentation
bin10110111111100010…
…00011110011111110
31011212021121222121100
423133301003303332
5200240043130210
65400521113530
7614620145544
oct133761036376
934767558540
1012344114430
115264a2696a
1224860288a6
131219539b2b
148515d5d94
154c3a955c0
hex2dfc43cfe

12344114430 has 48 divisors (see below), whose sum is σ = 32210627904. Its totient is φ = 3279873600.

The previous prime is 12344114429. The next prime is 12344114459. The reversal of 12344114430 is 3441144321.

It is a super-3 number, since 3×123441144303 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12344114394 and 12344114403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222646 + ... + 272505.

It is an arithmetic number, because the mean of its divisors is an integer number (671054748).

Almost surely, 212344114430 is an apocalyptic number.

12344114430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12344114430 is an abundant number, since it is smaller than the sum of its proper divisors (19866513474).

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

12344114430 is a wasteful number, since it uses less digits than its factorization.

12344114430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495441 (or 495438 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12344114430 its reverse (3441144321), we get a palindrome (15785258751).

The spelling of 12344114430 in words is "twelve billion, three hundred forty-four million, one hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 277 554 831 1385 1662 2493 2770 4155 4986 8310 12465 24930 495151 990302 1485453 2475755 2970906 4456359 4951510 7427265 8912718 14854530 22281795 44563590 137156827 274313654 411470481 685784135 822940962 1234411443 1371568270 2057352405 2468822886 4114704810 6172057215 12344114430