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442433320434 = 232712619278261
BaseRepresentation
bin1100111000000110001…
…01001011010111110010
31120021222221100101121100
412130003011023113302
524222100412223214
6535130121305230
743651624113330
oct6340305132762
91507887311540
10442433320434
111606a9091066
12718b6035216
133294b874981
14175b19c4b50
15b796d39309
hex670314b5f2

442433320434 has 48 divisors (see below), whose sum is σ = 1095639929280. Its totient is φ = 126399048480.

The previous prime is 442433320423. The next prime is 442433320451. The reversal of 442433320434 is 434023334244.

442433320434 is a `hidden beast` number, since 44 + 243 + 332 + 0 + 43 + 4 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1450864 + ... + 1729124.

It is an arithmetic number, because the mean of its divisors is an integer number (22825831860).

Almost surely, 2442433320434 is an apocalyptic number.

442433320434 is an abundant number, since it is smaller than the sum of its proper divisors (653206608846).

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

442433320434 is a wasteful number, since it uses less digits than its factorization.

442433320434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290895 (or 290892 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 442433320434 its reverse (434023334244), we get a palindrome (876456654678).

The spelling of 442433320434 in words is "four hundred forty-two billion, four hundred thirty-three million, three hundred twenty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 12619 25238 37857 75714 88333 113571 176666 227142 264999 278261 529998 556522 794997 834783 1589994 1669566 1947827 2504349 3895654 5008698 5843481 11686962 17530443 35060886 3511375559 7022751118 10534126677 21068253354 24579628913 31602380031 49159257826 63204760062 73738886739 147477773478 221216660217 442433320434