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14042333312 = 27718186587
BaseRepresentation
bin11010001001111110…
…10000000010000000
31100020122010102221222
431010333100002000
5212224314131222
610241223534212
71004660602160
oct150477200200
940218112858
1014042333312
115a56592947
12287a8ba368
13142a311787
14972d765a0
15572be6542
hex344fd0080

14042333312 has 64 divisors (see below), whose sum is σ = 32148392640. Its totient is φ = 5984824320.

The previous prime is 14042333309. The next prime is 14042333341. The reversal of 14042333312 is 21333324041.

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

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, 118883 + ... + 205469.

It is an arithmetic number, because the mean of its divisors is an integer number (502318635).

Almost surely, 214042333312 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 14042333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16074196320).

14042333312 is an abundant number, since it is smaller than the sum of its proper divisors (18106059328).

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

14042333312 is an equidigital number, since it uses as much as digits as its factorization.

14042333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86789 (or 86777 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 14042333312 its reverse (21333324041), we get a palindrome (35375657353).

The spelling of 14042333312 in words is "fourteen billion, forty-two million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 181 224 362 448 724 896 1267 1448 2534 2896 5068 5792 10136 11584 20272 23168 40544 81088 86587 162176 173174 346348 606109 692696 1212218 1385392 2424436 2770784 4848872 5541568 9697744 11083136 15672247 19395488 31344494 38790976 62688988 77581952 109705729 125377976 219411458 250755952 438822916 501511904 877645832 1003023808 1755291664 2006047616 3510583328 7021166656 14042333312