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14100566272 = 281316572557
BaseRepresentation
bin11010010000111010…
…11001000100000000
31100101200200222120021
431020131121010000
5212334221110042
610251104023224
71006265556442
oct151035310400
940350628507
1014100566272
115a86447161
122896301b14
1314393c0350
1497a9b4492
15577d9a867
hex348759100

14100566272 has 72 divisors (see below), whose sum is σ = 30341287256. Its totient is φ = 6501482496.

The previous prime is 14100566269. The next prime is 14100566317. The reversal of 14100566272 is 27266500141.

It can be written as a sum of positive squares in 4 ways, for example, as 66846976 + 14033719296 = 8176^2 + 118464^2 .

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, 5513218 + ... + 5515774.

Almost surely, 214100566272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14100566272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15170643628).

14100566272 is an abundant number, since it is smaller than the sum of its proper divisors (16240720984).

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

14100566272 is a wasteful number, since it uses less digits than its factorization.

14100566272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4243 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 14100566272 in words is "fourteen billion, one hundred million, five hundred sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1657 1664 2557 3314 3328 5114 6628 10228 13256 20456 21541 26512 33241 40912 43082 53024 66482 81824 86164 106048 132964 163648 172328 212096 265928 327296 344656 424192 531856 654592 689312 1063712 1378624 2127424 2757248 4236949 4254848 5514496 8473898 8509696 16947796 33895592 55080337 67791184 110160674 135582368 220321348 271164736 440642696 542329472 881285392 1084658944 1762570784 3525141568 7050283136 14100566272