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14443311344 = 2472118811901
BaseRepresentation
bin11010111001110001…
…10111000011110000
31101021120122020102012
431130320313003300
5214034441430334
610345110142052
71020630056300
oct153470670360
941246566365
1014443311344
116141966650
122971051928
131492406297
149b0313600
15597eee9ce
hex35ce370f0

14443311344 has 120 divisors (see below), whose sum is σ = 35571067056. Its totient is φ = 5617920000.

The previous prime is 14443311341. The next prime is 14443311361. The reversal of 14443311344 is 44311334441.

It is a self number, because there is not a number n which added to its sum of digits gives 14443311344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14443311341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7596794 + ... + 7598694.

Almost surely, 214443311344 is an apocalyptic number.

14443311344 is a gapful number since it is divisible by the number (14) 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 14443311344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17785533528).

14443311344 is an abundant number, since it is smaller than the sum of its proper divisors (21127755712).

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

14443311344 is a wasteful number, since it uses less digits than its factorization.

14443311344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815 (or 2802 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

Adding to 14443311344 its reverse (44311334441), we get a palindrome (58754645785).

The spelling of 14443311344 in words is "fourteen billion, four hundred forty-three million, three hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 392 539 616 784 881 1078 1232 1762 1901 2156 3524 3802 4312 6167 7048 7604 8624 9691 12334 13307 14096 15208 19382 20911 24668 26614 30416 38764 41822 43169 49336 53228 67837 77528 83644 86338 93149 98672 106456 135674 146377 155056 167288 172676 186298 212912 271348 292754 334576 345352 372596 474859 542696 585508 690704 745192 949718 1024639 1085392 1171016 1490384 1674781 1899436 2049278 2342032 3349562 3798872 4098556 6699124 7597744 8197112 11723467 13398248 16394224 18422591 23446934 26796496 36845182 46893868 73690364 82064269 93787736 128958137 147380728 164128538 187575472 257916274 294761456 328257076 515832548 656514152 902706959 1031665096 1313028304 1805413918 2063330192 3610827836 7221655672 14443311344