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12334414430 = 25131711349391
BaseRepresentation
bin10110111110011000…
…00011101001011110
31011211121101011201002
423133030003221132
5200230102230210
65355533150302
7614441535632
oct133714035136
934747334632
1012334414430
11525a501138
12248292b392
1312175219a0
148501ccdc2
154c2ccb4a5
hex2df303a5e

12334414430 has 64 divisors (see below), whose sum is σ = 25540800768. Its totient is φ = 4248330240.

The previous prime is 12334414409. The next prime is 12334414451. The reversal of 12334414430 is 3441443321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12334414409) and next prime (12334414451).

It is a junction number, because it is equal to n+sod(n) for n = 12334414393 and 12334414402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225035 + ... + 274425.

It is an arithmetic number, because the mean of its divisors is an integer number (399075012).

Almost surely, 212334414430 is an apocalyptic number.

12334414430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12334414430 is an abundant number, since it is smaller than the sum of its proper divisors (13206386338).

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

12334414430 is a wasteful number, since it uses less digits than its factorization.

12334414430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49541.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 12334414430 its reverse (3441443321), we get a palindrome (15775857751).

The spelling of 12334414430 in words is "twelve billion, three hundred thirty-four million, four hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 65 85 113 130 170 221 226 442 565 1105 1130 1469 1921 2210 2938 3842 7345 9605 14690 19210 24973 49391 49946 98782 124865 246955 249730 493910 642083 839647 1284166 1679294 3210415 4198235 5581183 6420830 8396470 10915411 11162366 21830822 27905915 54577055 55811830 72555379 94880111 109154110 145110758 189760222 362776895 474400555 725553790 948801110 1233441443 2466882886 6167207215 12334414430