Search a number
-
+
404012340333441 = 32722812811439847
BaseRepresentation
bin101101111011100100111010…
…0000001111100101110000001
31221222111012110122110201010200
41123313021310001330232001
5410423314233111132231
63551132412405115413
7151045633265016120
oct13367116401745601
91858435418421120
10404012340333441
111078047425a1444
123939036b3b8b69
131445827ab5b328
1471aa431877ab7
1531a944c683be6
hex16f727407cb81

404012340333441 has 24 divisors (see below), whose sum is σ = 667233396246144. Its totient is φ = 230762982559680.

The previous prime is 404012340333421. The next prime is 404012340333451. The reversal of 404012340333441 is 144333043210404.

404012340333441 is a `hidden beast` number, since 40 + 40 + 1 + 234 + 0 + 3 + 3 + 344 + 1 = 666.

It is not a de Polignac number, because 404012340333441 - 27 = 404012340333313 is a prime.

It is a super-2 number, since 2×4040123403334412 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404012340333396 and 404012340333405.

It is not an unprimeable number, because it can be changed into a prime (404012340333421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1405576221 + ... + 1405863626.

It is an arithmetic number, because the mean of its divisors is an integer number (27801391510256).

Almost surely, 2404012340333441 is an apocalyptic number.

It is an amenable number.

404012340333441 is a deficient number, since it is larger than the sum of its proper divisors (263221055912703).

404012340333441 is a wasteful number, since it uses less digits than its factorization.

404012340333441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811442141 (or 2811442138 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 404012340333441 its reverse (144333043210404), we get a palindrome (548345383543845).

The spelling of 404012340333441 in words is "four hundred four trillion, twelve billion, three hundred forty million, three hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 63 2281 6843 15967 20529 47901 143703 2811439847 8434319541 19680078929 25302958623 59040236787 177120710361 6412894291007 19238682873021 44890260037049 57716048619063 134670780111147 404012340333441