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14042505344 = 27767233917
BaseRepresentation
bin11010001001111111…
…11010000010000000
31100020122110011221112
431010333322002000
5212224340132334
610241231342452
71004662216550
oct150477720200
940218404845
1014042505344
115a566a011a
12287a981a28
13142a371b7a
14972dbd160
15572c2c4ce
hex344ffa080

14042505344 has 64 divisors (see below), whose sum is σ = 32449104960. Its totient is φ = 5928367104.

The previous prime is 14042505319. The next prime is 14042505377. The reversal of 14042505344 is 44350524041.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 14042505344.

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, 56927 + ... + 176990.

It is an arithmetic number, because the mean of its divisors is an integer number (507017265).

Almost surely, 214042505344 is an apocalyptic number.

14042505344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14042505344 is an abundant number, since it is smaller than the sum of its proper divisors (18406599616).

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

14042505344 is an equidigital number, since it uses as much as digits as its factorization.

14042505344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234005 (or 233993 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 14042505344 in words is "fourteen billion, forty-two million, five hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 128 134 224 268 448 469 536 896 938 1072 1876 2144 3752 4288 7504 8576 15008 30016 60032 233917 467834 935668 1637419 1871336 3274838 3742672 6549676 7485344 13099352 14970688 15672439 26198704 29941376 31344878 52397408 62689756 104794816 109707073 125379512 209589632 219414146 250759024 438828292 501518048 877656584 1003036096 1755313168 2006072192 3510626336 7021252672 14042505344