Search a number
-
+
14420462216337 = 3231149346887547
BaseRepresentation
bin1101000111011000011010…
…0001110010010010010001
31220001120201210202121121200
43101312012201302102101
53342231101311410322
650400400251341413
73015562332255012
oct321660641622221
956046653677550
1014420462216337
11465a757a86a81
12174a947751869
13807ac79531b8
1437bd50075009
151a0198e158ac
hexd1d86872491

14420462216337 has 24 divisors (see below), whose sum is σ = 21645782995200. Its totient is φ = 9241084225440.

The previous prime is 14420462216317. The next prime is 14420462216351. The reversal of 14420462216337 is 73361226402441.

14420462216337 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 0 + 4 + 6 + 2 + 2 + 1 + 633 + 7 = 666.

It is not a de Polignac number, because 14420462216337 - 211 = 14420462214289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14420462216292 and 14420462216301.

It is not an unprimeable number, because it can be changed into a prime (14420462216317) 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 23 ways as a sum of consecutive naturals, for example, 173402203 + ... + 173485344.

It is an arithmetic number, because the mean of its divisors is an integer number (901907624800).

Almost surely, 214420462216337 is an apocalyptic number.

It is an amenable number.

14420462216337 is a deficient number, since it is larger than the sum of its proper divisors (7225320778863).

14420462216337 is a wasteful number, since it uses less digits than its factorization.

14420462216337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346887733 (or 346887730 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

Adding to 14420462216337 its reverse (73361226402441), we get a palindrome (87781688618778).

The spelling of 14420462216337 in words is "fourteen trillion, four hundred twenty billion, four hundred sixty-two million, two hundred sixteen thousand, three hundred thirty-seven".

Divisors: 1 3 9 31 93 149 279 447 1341 4619 13857 41571 346887547 1040662641 3121987923 10753513957 32260541871 51686244503 96781625613 155058733509 465176200527 1602273579593 4806820738779 14420462216337