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14148864601 = 17269972
BaseRepresentation
bin11010010110101011…
…01000101001011001
31100112001120210102021
431023111220221121
5212434102131401
610255551134441
71010423236054
oct151325505131
940461523367
1014148864601
116000735433
1228aa514421
131446401041
14983187a9b
1557c23b2a1
hex34b568a59

14148864601 has 9 divisors (see below), whose sum is σ = 15032257149. Its totient is φ = 13314675264.

The previous prime is 14148864571. The next prime is 14148864617. The reversal of 14148864601 is 10646884141.

The square root of 14148864601 is 118949.

It is a perfect power (a square), and thus also a powerful number.

14148864601 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 172896201 + 13975968400 = 13149^2 + 118220^2 .

It is not a de Polignac number, because 14148864601 - 221 = 14146767449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14148864671) 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 8 ways as a sum of consecutive naturals, for example, 2018635 + ... + 2025631.

Almost surely, 214148864601 is an apocalyptic number.

14148864601 is the 118949-th square number.

14148864601 is the 59475-th centered octagonal number.

It is an amenable number.

14148864601 is a deficient number, since it is larger than the sum of its proper divisors (883392548).

14148864601 is an frugal number, since it uses more digits than its factorization.

14148864601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14028 (or 7014 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The spelling of 14148864601 in words is "fourteen billion, one hundred forty-eight million, eight hundred sixty-four thousand, six hundred one".

Divisors: 1 17 289 6997 118949 2022133 48958009 832286153 14148864601