Search a number
-
+
104435433441 = 32971031161439
BaseRepresentation
bin110000101000011010…
…1100011111111100001
3100222120021200201002100
41201100311203333201
53202340432332231
6115551005441013
710355002352223
oct1412065437741
9328507621070
10104435433441
1140322096979
12182a7270169
139b046ca881
1450aa160413
152ab38221e6
hex1850d63fe1

104435433441 has 24 divisors (see below), whose sum is σ = 153886154240. Its totient is φ = 68236805376.

The previous prime is 104435433409. The next prime is 104435433451. The reversal of 104435433441 is 144334534401.

104435433441 is a `hidden beast` number, since 1 + 0 + 4 + 43 + 543 + 34 + 41 = 666.

It is not a de Polignac number, because 104435433441 - 25 = 104435433409 is a prime.

It is a super-2 number, since 2×1044354334412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 104435433396 and 104435433405.

It is not an unprimeable number, because it can be changed into a prime (104435433451) 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, 490801 + ... + 670638.

Almost surely, 2104435433441 is an apocalyptic number.

It is an amenable number.

104435433441 is a deficient number, since it is larger than the sum of its proper divisors (49450720799).

104435433441 is a wasteful number, since it uses less digits than its factorization.

104435433441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161645 (or 1161642 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 104435433441 its reverse (144334534401), we get a palindrome (248769967842).

The spelling of 104435433441 in words is "one hundred four billion, four hundred thirty-five million, four hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 3 9 97 103 291 309 873 927 9991 29973 89919 1161439 3484317 10452951 112659583 119628217 337978749 358884651 1013936247 1076653953 11603937049 34811811147 104435433441