Search a number
-
+
14467518961 = 72171832
BaseRepresentation
bin11010111100101010…
…01101000111110001
31101100021012010000121
431132111031013301
5214112141101321
610351333050241
71021342611400
oct153625150761
941307163017
1014467518961
1161545a0145
122979186981
13149743090c
149b3615637
1559a1d2441
hex35e54d1f1

14467518961 has 9 divisors (see below), whose sum is σ = 16830542361. Its totient is φ = 12400008852.

The previous prime is 14467518911. The next prime is 14467518971. The reversal of 14467518961 is 16981576441.

It is a happy number.

The square root of 14467518961 is 120281.

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

It is not a de Polignac number, because 14467518961 - 211 = 14467516913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14467518899 and 14467518908.

It is not an unprimeable number, because it can be changed into a prime (14467518911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 833376 + ... + 850558.

Almost surely, 214467518961 is an apocalyptic number.

14467518961 is the 120281-st square number.

14467518961 is the 60141-st centered octagonal number.

It is an amenable number.

14467518961 is a deficient number, since it is larger than the sum of its proper divisors (2363023400).

14467518961 is an frugal number, since it uses more digits than its factorization.

14467518961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34380 (or 17190 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 52.

The spelling of 14467518961 in words is "fourteen billion, four hundred sixty-seven million, five hundred eighteen thousand, nine hundred sixty-one".

Divisors: 1 7 49 17183 120281 841967 295255489 2066788423 14467518961