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442431010334441 = 7919798328920029
BaseRepresentation
bin110010010011000110111111…
…1001101010110011011101001
32011000111222202211000120002102
41210212031333031112123221
5430442242202121200231
64204550000015343145
7162122404610626442
oct14446157715263351
92130458684016072
10442431010334441
11118a76a351aa117
1241756116221ab5
1315cb40b049801b
147b37abd05c2c9
1536239a4dbdacb
hex192637f3566e9

442431010334441 has 16 divisors (see below), whose sum is σ = 450763782796800. Its totient is φ = 434171059078848.

The previous prime is 442431010334429. The next prime is 442431010334471. The reversal of 442431010334441 is 144433010134244.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 442431010334441 - 218 = 442431010072297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 442431010334395 and 442431010334404.

It is not an unprimeable number, because it can be changed into a prime (442431010334471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 838415 + ... + 29758443.

It is an arithmetic number, because the mean of its divisors is an integer number (28172736424800).

Almost surely, 2442431010334441 is an apocalyptic number.

It is an amenable number.

442431010334441 is a deficient number, since it is larger than the sum of its proper divisors (8332772462359).

442431010334441 is a wasteful number, since it uses less digits than its factorization.

442431010334441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28921288.

The product of its (nonzero) digits is 221184, while the sum is 38.

Adding to 442431010334441 its reverse (144433010134244), we get a palindrome (586864020468685).

The spelling of 442431010334441 in words is "four hundred forty-two trillion, four hundred thirty-one billion, ten million, three hundred thirty-four thousand, four hundred forty-one".

Divisors: 1 79 197 983 15563 77657 193651 15298429 28920029 2284682291 5697245713 28428388507 450082411327 2245842692053 5600392535879 442431010334441