Search a number
-
+
4406404022761 = 1317147113554371
BaseRepresentation
bin100000000011111001000…
…1001011000000111101001
3120121020200212120010122011
41000013302021120013221
51034143303412212021
613212135110355521
7633231541130326
oct100076211300751
916536625503564
104406404022761
111449822218064
125b1ba795bba1
1325c6a3122150
141133b1c41b4d
1579949be6de1
hex401f22581e9

4406404022761 has 16 divisors (see below), whose sum is σ = 5027912967168. Its totient is φ = 3825585388800.

The previous prime is 4406404022759. The next prime is 4406404022831. The reversal of 4406404022761 is 1672204046044.

4406404022761 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4406404022761 - 21 = 4406404022759 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4406404029761) 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 15 ways as a sum of consecutive naturals, for example, 6452095 + ... + 7102276.

It is an arithmetic number, because the mean of its divisors is an integer number (314244560448).

Almost surely, 24406404022761 is an apocalyptic number.

It is an amenable number.

4406404022761 is a deficient number, since it is larger than the sum of its proper divisors (621508944407).

4406404022761 is a wasteful number, since it uses less digits than its factorization.

4406404022761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13555872.

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 4406404022761 in words is "four trillion, four hundred six billion, four hundred four million, twenty-two thousand, seven hundred sixty-one".

Divisors: 1 13 17 221 1471 19123 25007 325091 13554371 176206823 230424307 2995515991 19938479741 259200236633 338954155597 4406404022761