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14375328173361 = 32232549492
BaseRepresentation
bin1101000100110000010001…
…0101000100110100110001
31212220021020100002200011100
43101030010111010310301
53341011133003021421
650323533512235013
73012404014236621
oct321140425046461
955807210080140
1014375328173361
1146425a6a98511
12174205039ba69
1380378403c2ac
14379aabab2881
1519de0684ac26
hexd1304544d31

14375328173361 has 27 divisors (see below), whose sum is σ = 21706808444139. Its totient is φ = 9166709111472.

The previous prime is 14375328173359. The next prime is 14375328173473. The reversal of 14375328173361 is 16337182357341.

The square root of 14375328173361 is 3791481.

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

14375328173361 is a `hidden beast` number, since 1 + 4 + 3 + 7 + 532 + 8 + 1 + 73 + 36 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4501530265761 + 9873797907600 = 2121681^2 + 3142260^2 .

It is not a de Polignac number, because 14375328173361 - 21 = 14375328173359 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14375328173298 and 14375328173307.

It is not an unprimeable number, because it can be changed into a prime (14375328173341) 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 26 ways as a sum of consecutive naturals, for example, 261584715 + ... + 261639663.

Almost surely, 214375328173361 is an apocalyptic number.

14375328173361 is the 3791481-st square number.

14375328173361 is the 1895741-st centered octagonal number.

It is an amenable number.

14375328173361 is a deficient number, since it is larger than the sum of its proper divisors (7331480270778).

14375328173361 is an frugal number, since it uses more digits than its factorization.

14375328173361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109950 (or 54975 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 14375328173361 in words is "fourteen trillion, three hundred seventy-five billion, three hundred twenty-eight million, one hundred seventy-three thousand, three hundred sixty-one".

Divisors: 1 3 9 23 69 207 529 1587 4761 54949 164847 494541 1263827 3791481 11374443 29068021 87204063 261612189 3019392601 9058177803 27174533409 69446029823 208338089469 625014268407 1597258685929 4791776057787 14375328173361