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14060950272 = 283323241367
BaseRepresentation
bin11010001100001100…
…10001001100000000
31100021221011021122000
431012012101030000
5212244100402042
610243130544000
71005305051055
oct150606211400
940257137560
1014060950272
115a66049066
122884b98000
13143112c525
1497562102c
1557467274c
hex346191300

14060950272 has 288 divisors, whose sum is σ = 43687311360. Its totient is φ = 4452433920.

The previous prime is 14060950259. The next prime is 14060950279. The reversal of 14060950272 is 27205906041.

14060950272 is a `hidden beast` number, since 1 + 40 + 609 + 5 + 0 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14060950279) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 38313033 + ... + 38313399.

Almost surely, 214060950272 is an apocalyptic number.

14060950272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14060950272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21843655680).

14060950272 is an abundant number, since it is smaller than the sum of its proper divisors (29626361088).

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

14060950272 is a wasteful number, since it uses less digits than its factorization.

14060950272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 14060950272 in words is "fourteen billion, sixty million, nine hundred fifty thousand, two hundred seventy-two".