Search a number
-
+
14200115641 = 61701332081
BaseRepresentation
bin11010011100110010…
…01001000110111001
31100122122000121121221
431032121021012321
5213040212200031
610305021432041
71011614664025
oct151631110671
940578017557
1014200115641
116027660068
12290370b621
131453c069ba
14989cc9385
155819b1a11
hex34e6491b9

14200115641 has 8 divisors (see below), whose sum is σ = 14453536968. Its totient is φ = 13947360000.

The previous prime is 14200115543. The next prime is 14200115653. The reversal of 14200115641 is 14651100241.

14200115641 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 2583587241 + 11616528400 = 50829^2 + 107780^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 14200115641 - 29 = 14200115129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14200115681) 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 7 ways as a sum of consecutive naturals, for example, 123280 + ... + 208801.

It is an arithmetic number, because the mean of its divisors is an integer number (1806692121).

Almost surely, 214200115641 is an apocalyptic number.

It is an amenable number.

14200115641 is a deficient number, since it is larger than the sum of its proper divisors (253421327).

14200115641 is an equidigital number, since it uses as much as digits as its factorization.

14200115641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332843.

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 14200115641 its reverse (14651100241), we get a palindrome (28851215882).

The spelling of 14200115641 in words is "fourteen billion, two hundred million, one hundred fifteen thousand, six hundred forty-one".

Divisors: 1 61 701 42761 332081 20256941 232788781 14200115641