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14244001344 = 2632171454657
BaseRepresentation
bin11010100010000001…
…00011011001000000
31100202200121020111100
431101000203121000
5213132431020334
610313230214400
71012660004466
oct152100433100
940680536440
1014244001344
11604a405041
122916354400
131460031081
14991a70836
1558577ec99
hex351023640

14244001344 has 84 divisors (see below), whose sum is σ = 43229526444. Its totient is φ = 4468703232.

The previous prime is 14244001297. The next prime is 14244001367. The reversal of 14244001344 is 44310044241.

It can be written as a sum of positive squares in 2 ways, for example, as 12968654400 + 1275346944 = 113880^2 + 35712^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 717537 + ... + 737120.

Almost surely, 214244001344 is an apocalyptic number.

It is an amenable number.

14244001344 is an abundant number, since it is smaller than the sum of its proper divisors (28985525100).

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

14244001344 is a wasteful number, since it uses less digits than its factorization.

14244001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454692 (or 1454679 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14244001344 its reverse (44310044241), we get a palindrome (58554045585).

The spelling of 14244001344 in words is "fourteen billion, two hundred forty-four million, one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 1454657 2909314 4363971 5818628 8727942 11637256 13091913 17455884 23274512 24729169 26183826 34911768 46549024 49458338 52367652 69823536 74187507 93098048 98916676 104735304 139647072 148375014 197833352 209470608 222562521 279294144 296750028 395666704 418941216 445125042 593500056 791333408 837882432 890250084 1187000112 1582666816 1780500168 2374000224 3561000336 4748000448 7122000672 14244001344