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14442006612 = 22311294338713
BaseRepresentation
bin11010111001100111…
…11000100001010100
31101021111011221122210
431130303320201110
5214034123202422
610345022153420
71020613013355
oct153463704124
941244157583
1014442006612
116141155360
122970722870
13149206a457
149b0093d2c
15597d4310c
hex35ccf8854

14442006612 has 96 divisors (see below), whose sum is σ = 38121310080. Its totient is φ = 4215214080.

The previous prime is 14442006581. The next prime is 14442006643. The reversal of 14442006612 is 21660024441.

It is a happy number.

14442006612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14442006581) and next prime (14442006643).

It is a self number, because there is not a number n which added to its sum of digits gives 14442006612.

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 31 ways as a sum of consecutive naturals, for example, 1653168 + ... + 1661880.

It is an arithmetic number, because the mean of its divisors is an integer number (397096980).

Almost surely, 214442006612 is an apocalyptic number.

14442006612 is a gapful number since it is divisible by the number (12) 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 14442006612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19060655040).

14442006612 is an abundant number, since it is smaller than the sum of its proper divisors (23679303468).

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

14442006612 is a wasteful number, since it uses less digits than its factorization.

14442006612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9193 (or 9191 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 14442006612 in words is "fourteen billion, four hundred forty-two million, six thousand, six hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 433 638 866 957 1276 1299 1732 1914 2598 3828 4763 5196 8713 9526 12557 14289 17426 19052 25114 26139 28578 34852 37671 50228 52278 57156 75342 95843 104556 138127 150684 191686 252677 276254 287529 383372 414381 505354 552508 575058 758031 828762 1010708 1150116 1516062 1657524 2779447 3032124 3772729 5558894 7545458 8338341 11117788 11318187 15090916 16676682 22636374 33353364 41500019 45272748 83000038 109409141 124500057 166000076 218818282 249000114 328227423 437636564 498000228 656454846 1203500551 1312909692 2407001102 3610501653 4814002204 7221003306 14442006612