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413244323232 = 25313331125259
BaseRepresentation
bin1100000001101110100…
…01111111010110100000
31110111122201002200220220
412000313101333112200
523232311021320412
6513501500003040
741566402535166
oct6006721772640
91414581080826
10413244323232
1114a28a713484
126810a830480
132cc795158b0
141600316b236
15ab3950c68c
hex603747f5a0

413244323232 has 48 divisors (see below), whose sum is σ = 1168209917280. Its totient is φ = 127152099072.

The previous prime is 413244323231. The next prime is 413244323249. The reversal of 413244323232 is 232323442314.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 413244323193 and 413244323202.

It is not an unprimeable number, because it can be changed into a prime (413244323231) 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 7 ways as a sum of consecutive naturals, for example, 165561382 + ... + 165563877.

It is an arithmetic number, because the mean of its divisors is an integer number (24337706610).

Almost surely, 2413244323232 is an apocalyptic number.

It is an amenable number.

413244323232 is an abundant number, since it is smaller than the sum of its proper divisors (754965594048).

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

413244323232 is a wasteful number, since it uses less digits than its factorization.

413244323232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331125285 (or 331125277 counting only the distinct ones).

The product of its digits is 82944, while the sum is 33.

Adding to 413244323232 its reverse (232323442314), we get a palindrome (645567765546).

The spelling of 413244323232 in words is "four hundred thirteen billion, two hundred forty-four million, three hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 331125259 662250518 993375777 1324501036 1986751554 2649002072 3973503108 4304628367 5298004144 7947006216 8609256734 10596008288 12913885101 15894012432 17218513468 25827770202 31788024864 34437026936 51655540404 68874053872 103311080808 137748107744 206622161616 413244323232