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12214441344 = 27374544063
BaseRepresentation
bin10110110000000100…
…11001010110000000
31011112020121220120110
423120002121112000
5200003344110334
65340005511320
7611454016110
oct133002312600
934466556513
1012214441344
1151a8808626
12244a712540
1311c87070b1
1483c2bd040
154b74cdae9
hex2d8099580

12214441344 has 64 divisors (see below), whose sum is σ = 37079562240. Its totient is φ = 3489839616.

The previous prime is 12214441339. The next prime is 12214441361. The reversal of 12214441344 is 44314441221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2269344 + ... + 2274719.

It is an arithmetic number, because the mean of its divisors is an integer number (579368160).

Almost surely, 212214441344 is an apocalyptic number.

12214441344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12214441344 is an abundant number, since it is smaller than the sum of its proper divisors (24865120896).

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

12214441344 is an equidigital number, since it uses as much as digits as its factorization.

12214441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4544087 (or 4544075 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

Adding to 12214441344 its reverse (44314441221), we get a palindrome (56528882565).

The spelling of 12214441344 in words is "twelve billion, two hundred fourteen million, four hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 4544063 9088126 13632189 18176252 27264378 31808441 36352504 54528756 63616882 72705008 95425323 109057512 127233764 145410016 190850646 218115024 254467528 290820032 381701292 436230048 508935056 581640064 763402584 872460096 1017870112 1526805168 1744920192 2035740224 3053610336 4071480448 6107220672 12214441344