Search a number
-
+
404404023213 = 3244933780357
BaseRepresentation
bin1011110001010000101…
…10111010111110101101
31102122211121111221002200
411320220112322332231
523111204412220323
6505440341412113
741134336323561
oct5705026727655
91378747457080
10404404023213
1114656358a203
126646210a039
132c19ab7c638
14158050476a1
15a7bd379443
hex5e285bafad

404404023213 has 6 divisors (see below), whose sum is σ = 584139144654. Its totient is φ = 269602682136.

The previous prime is 404404023209. The next prime is 404404023239. The reversal of 404404023213 is 312320404404.

It is a happy number.

404404023213 is a `hidden beast` number, since 4 + 0 + 4 + 40 + 402 + 3 + 213 = 666.

It can be written as a sum of positive squares in only one way, i.e., 403393927689 + 1010095524 = 635133^2 + 31782^2 .

It is not a de Polignac number, because 404404023213 - 22 = 404404023209 is a prime.

It is a super-2 number, since 2×4044040232132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404404023203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22466890170 + ... + 22466890187.

It is an arithmetic number, because the mean of its divisors is an integer number (97356524109).

Almost surely, 2404404023213 is an apocalyptic number.

It is an amenable number.

404404023213 is a deficient number, since it is larger than the sum of its proper divisors (179735121441).

404404023213 is a wasteful number, since it uses less digits than its factorization.

404404023213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44933780363 (or 44933780360 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 404404023213 its reverse (312320404404), we get a palindrome (716724427617).

The spelling of 404404023213 in words is "four hundred four billion, four hundred four million, twenty-three thousand, two hundred thirteen".

Divisors: 1 3 9 44933780357 134801341071 404404023213