Search a number
-
+
14642117361 = 3620085209
BaseRepresentation
bin11011010001011110…
…01111101011110001
31101210102201122000000
431220233033223301
5214441340223421
610420531220213
71025562641544
oct155057175361
941712648000
1014642117361
116234103543
122a07747669
1314c4662c91
149cc8a485b
155aa6c0226
hex368bcfaf1

14642117361 has 14 divisors (see below), whose sum is σ = 21953134530. Its totient is φ = 9761411088.

The previous prime is 14642117341. The next prime is 14642117443. The reversal of 14642117361 is 16371124641.

14642117361 is a `hidden beast` number, since 1 + 4 + 6 + 421 + 173 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14403600225 + 238517136 = 120015^2 + 15444^2 .

It is not a de Polignac number, because 14642117361 - 213 = 14642109169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14642117341) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 10041876 + ... + 10043333.

Almost surely, 214642117361 is an apocalyptic number.

It is an amenable number.

14642117361 is a deficient number, since it is larger than the sum of its proper divisors (7311017169).

14642117361 is an frugal number, since it uses more digits than its factorization.

14642117361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20085227 (or 20085212 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The spelling of 14642117361 in words is "fourteen billion, six hundred forty-two million, one hundred seventeen thousand, three hundred sixty-one".

Divisors: 1 3 9 27 81 243 729 20085209 60255627 180766881 542300643 1626901929 4880705787 14642117361