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14148880938 = 23217173326681
BaseRepresentation
bin11010010110101011…
…01100101000101010
31100112001121121211100
431023111230220222
5212434103142223
610255551342230
71010423334513
oct151325545052
940461547740
1014148880938
116000746735
1228aa521976
1314464085ca
1498318da0a
1557c241043
hex34b56ca2a

14148880938 has 48 divisors (see below), whose sum is σ = 32479144776. Its totient is φ = 4436136960.

The previous prime is 14148880873. The next prime is 14148880939. The reversal of 14148880938 is 83908884141.

14148880938 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8812140129 + 5336740809 = 93873^2 + 73053^2 .

It is not an unprimeable number, because it can be changed into a prime (14148880939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 516958 + ... + 543638.

Almost surely, 214148880938 is an apocalyptic number.

14148880938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

14148880938 is an abundant number, since it is smaller than the sum of its proper divisors (18330263838).

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

14148880938 is a wasteful number, since it uses less digits than its factorization.

14148880938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28439 (or 28436 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 14148880938 in words is "fourteen billion, one hundred forty-eight million, eight hundred eighty thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 1733 3466 5199 10398 15597 26681 29461 31194 53362 58922 80043 88383 160086 176766 240129 265149 453577 480258 530298 907154 1360731 2721462 4082193 8164386 46238173 92476346 138714519 277429038 416143557 786048941 832287114 1572097882 2358146823 4716293646 7074440469 14148880938