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443145681 = 331121779101
BaseRepresentation
bin11010011010011…
…101110111010001
31010212212010121000
4122122131313101
51401421130211
6111550052213
713660450626
oct3232356721
91125763530
10443145681
11208164a00
121044aa069
1370a69ba4
1442bd634d
1528d87656
hex1a69ddd1

443145681 has 96 divisors (see below), whose sum is σ = 781401600. Its totient is φ = 247104000.

The previous prime is 443145673. The next prime is 443145691. The reversal of 443145681 is 186541344.

It is not a de Polignac number, because 443145681 - 23 = 443145673 is a prime.

It is a super-2 number, since 2×4431456812 = 392756189177907522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443145601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4387531 + ... + 4387631.

It is an arithmetic number, because the mean of its divisors is an integer number (8139600).

Almost surely, 2443145681 is an apocalyptic number.

It is an amenable number.

443145681 is a deficient number, since it is larger than the sum of its proper divisors (338255919).

443145681 is a wasteful number, since it uses less digits than its factorization.

443145681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 211 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 443145681 is about 21051.0256519724. The cubic root of 443145681 is about 762.3987466016.

The spelling of 443145681 in words is "four hundred forty-three million, one hundred forty-five thousand, six hundred eighty-one".

Divisors: 1 3 9 11 17 27 33 51 79 99 101 121 153 187 237 297 303 363 459 561 711 869 909 1089 1111 1343 1683 1717 2057 2133 2607 2727 3267 3333 4029 5049 5151 6171 7821 7979 9559 9999 12087 12221 14773 15453 18513 18887 23463 23937 28677 29997 36261 36663 44319 46359 55539 56661 71811 86031 87769 109989 132957 135643 162503 169983 207757 215433 258093 263307 329967 398871 406929 487509 509949 623271 789921 965459 1220787 1462527 1492073 1869813 2369763 2896377 3662361 4387581 4476219 5609439 8689131 13428657 16412803 26067393 40285971 49238409 147715227 443145681