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14180669712729 = 32132965572
BaseRepresentation
bin1100111001011011000111…
…0001111110100101011001
31212012122210020212022011100
43032112301301332211121
53324314002421301404
650054302034022013
72662343133515652
oct316266161764531
955178706768140
1014180669712729
114577a963aa963
121710385717909
137bb301561c00
143704c319a529
15198d122e4d39
hexce5b1c7e959

14180669712729 has 27 divisors (see below), whose sum is σ = 22180251569853. Its totient is φ = 8726475599712.

The previous prime is 14180669712721. The next prime is 14180669712779. The reversal of 14180669712729 is 92721796608141.

The square root of 14180669712729 is 3765723.

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

14180669712729 is a `hidden beast` number, since 1 + 418 + 0 + 6 + 6 + 97 + 127 + 2 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7764175426329 + 6416494286400 = 2786427^2 + 2533080^2 .

It is not a de Polignac number, because 14180669712729 - 23 = 14180669712721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14180669712721) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 146814919 + ... + 146911475.

Almost surely, 214180669712729 is an apocalyptic number.

14180669712729 is the 3765723-rd square number.

14180669712729 is the 1882862-nd centered octagonal number.

It is an amenable number.

14180669712729 is a deficient number, since it is larger than the sum of its proper divisors (7999581857124).

14180669712729 is an frugal number, since it uses more digits than its factorization.

14180669712729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193146 (or 96573 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 14180669712729 in words is "fourteen trillion, one hundred eighty billion, six hundred sixty-nine million, seven hundred twelve thousand, seven hundred twenty-nine".

Divisors: 1 3 9 13 39 117 169 507 1521 96557 289671 869013 1255241 3765723 11297169 16318133 48954399 146863197 9323254249 27969762747 83909288241 121202305237 363606915711 1090820747133 1575629968081 4726889904243 14180669712729