Search a number
-
+
14183682451129 = 19237925232
BaseRepresentation
bin1100111001100110010101…
…0110101010011010111001
31212012221120012212021022001
43032121211112222122321
53324341140201414004
650055521015301001
72662510605414562
oct316314526523271
955187505767261
1014183682451129
1145792a1a80904
121710a8667a761
137bb691786559
143706cb35b169
15198e3ba531a4
hexce6655aa6b9

14183682451129 has 27 divisors (see below), whose sum is σ = 15037836490053. Its totient is φ = 13376093865624.

The previous prime is 14183682451111. The next prime is 14183682451241. The reversal of 14183682451129 is 92115428638141.

The square root of 14183682451129 is 3766123.

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

It is not a de Polignac number, because 14183682451129 - 215 = 14183682418361 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14183682451129.

It is not an unprimeable number, because it can be changed into a prime (14183682451109) 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, 27119851462 + ... + 27119851984.

It is an arithmetic number, because the mean of its divisors is an integer number (556956907039).

Almost surely, 214183682451129 is an apocalyptic number.

14183682451129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

14183682451129 is the 3766123-rd square number.

14183682451129 is the 1883062-nd centered octagonal number.

It is an amenable number.

14183682451129 is a deficient number, since it is larger than the sum of its proper divisors (854154038924).

14183682451129 is an frugal number, since it uses more digits than its factorization.

14183682451129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 921 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 55.

The spelling of 14183682451129 in words is "fourteen trillion, one hundred eighty-three billion, six hundred eighty-two million, four hundred fifty-one thousand, one hundred twenty-nine".

Divisors: 1 19 361 379 523 7201 9937 136819 143641 188803 198217 273529 2729179 3766123 5197051 51854401 71556337 75124243 98743969 103667491 1427360617 1969682329 27119851723 37423964251 39289979089 746509602691 14183682451129