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441323145 = 325172812053
BaseRepresentation
bin11010010011100…
…000111010001001
31010202102112112200
4122103200322021
51400434320040
6111443030413
713636120254
oct3223407211
91122375480
10441323145
1120712a67a
1210396b409
137057c473
144288009b
1528b27630
hex1a4e0e89

441323145 has 48 divisors (see below), whose sum is σ = 813236112. Its totient is φ = 220631040.

The previous prime is 441323119. The next prime is 441323153. The reversal of 441323145 is 541323144.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13329801 + 427993344 = 3651^2 + 20688^2 .

It is not a de Polignac number, because 441323145 - 26 = 441323081 is a prime.

It is a super-2 number, since 2×4413231452 = 389532236625382050, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213939 + ... + 215991.

It is an arithmetic number, because the mean of its divisors is an integer number (16942419).

Almost surely, 2441323145 is an apocalyptic number.

441323145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

441323145 is a deficient number, since it is larger than the sum of its proper divisors (371912967).

441323145 is a wasteful number, since it uses less digits than its factorization.

441323145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2359 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 441323145 is about 21007.6925196462. The cubic root of 441323145 is about 761.3521318639.

Adding to 441323145 its reverse (541323144), we get a palindrome (982646289).

Subtracting 441323145 from its reverse (541323144), we obtain a palindrome (99999999).

The spelling of 441323145 in words is "four hundred forty-one million, three hundred twenty-three thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 281 765 843 1405 2053 2529 4215 4777 6159 10265 12645 14331 18477 23885 30795 34901 42993 71655 92385 104703 174505 214965 314109 523515 576893 1570545 1730679 2884465 5192037 8653395 9807181 25960185 29421543 49035905 88264629 147107715 441323145