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441681669 = 321113226399
BaseRepresentation
bin11010010100111…
…000011100000101
31010210002202100100
4122110320130011
51401032303134
6111454434313
713642142442
oct3224703405
91123082310
10441681669
11207354a80
12103b02999
1370676700
14429349c9
1528b98999
hex1a538705

441681669 has 36 divisors (see below), whose sum is σ = 753667200. Its totient is φ = 247085280.

The previous prime is 441681661. The next prime is 441681671. The reversal of 441681669 is 966186144.

It is not a de Polignac number, because 441681669 - 23 = 441681661 is a prime.

It is a super-2 number, since 2×4416816692 = 390165393461251122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441681661) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3532 + ... + 29930.

It is an arithmetic number, because the mean of its divisors is an integer number (20935200).

Almost surely, 2441681669 is an apocalyptic number.

It is an amenable number.

441681669 is a deficient number, since it is larger than the sum of its proper divisors (311985531).

441681669 is a wasteful number, since it uses less digits than its factorization.

441681669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26442 (or 26426 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 441681669 is about 21016.2239472271. The cubic root of 441681669 is about 761.5582462355.

The spelling of 441681669 in words is "four hundred forty-one million, six hundred eighty-one thousand, six hundred sixty-nine".

Divisors: 1 3 9 11 13 33 39 99 117 143 169 429 507 1287 1521 1859 5577 16731 26399 79197 237591 290389 343187 871167 1029561 2613501 3088683 3775057 4461431 11325171 13384293 33975513 40152879 49075741 147227223 441681669