Search a number
-
+
40432404304242 = 23219711402257277
BaseRepresentation
bin10010011000101111001110…
…00110001001000101110010
312022011022002202220121001200
421030113213012021011302
520244421031000213432
6221554220133112030
711342100446014656
oct1114274706110562
9168138082817050
1040432404304242
11119793171828a5
1246500a2488616
1319739b4432a12
149dad20146a66
154a1b16365a7c
hex24c5e7189172

40432404304242 has 24 divisors (see below), whose sum is σ = 88048230700716. Its totient is φ = 13409054556576.

The previous prime is 40432404304151. The next prime is 40432404304247. The reversal of 40432404304242 is 24240340423404.

40432404304242 is a `hidden beast` number, since 4 + 0 + 4 + 3 + 2 + 404 + 3 + 0 + 4 + 242 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40431170819601 + 1233484641 = 6358551^2 + 35121^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40432404304197 and 40432404304206.

It is not an unprimeable number, because it can be changed into a prime (40432404304247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5701125093 + ... + 5701132184.

Almost surely, 240432404304242 is an apocalyptic number.

40432404304242 is an abundant number, since it is smaller than the sum of its proper divisors (47615826396474).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40432404304242 is a wasteful number, since it uses less digits than its factorization.

40432404304242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11402257482 (or 11402257479 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 40432404304242 its reverse (24240340423404), we get a palindrome (64672744727646).

The spelling of 40432404304242 in words is "forty trillion, four hundred thirty-two billion, four hundred four million, three hundred four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 197 394 591 1182 1773 3546 11402257277 22804514554 34206771831 68413543662 102620315493 205240630986 2246244683569 4492489367138 6738734050707 13477468101414 20216202152121 40432404304242