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442231412121 = 32379454728513
BaseRepresentation
bin1100110111101110000…
…10111101010110011001
31120021110212102101110200
412123313002331112121
524221142220141441
6535054105532413
743643622660342
oct6336702752631
91507425371420
10442231412121
11160605115394
127185a4a4109
1332918a9cbb5
1417592c670c9
15b7842547b6
hex66f70bd599

442231412121 has 24 divisors (see below), whose sum is σ = 640627459680. Its totient is φ = 293968071936.

The previous prime is 442231412089. The next prime is 442231412137. The reversal of 442231412121 is 121214132244.

442231412121 is a `hidden beast` number, since 4 + 4 + 2 + 231 + 412 + 12 + 1 = 666.

It is not a de Polignac number, because 442231412121 - 25 = 442231412089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442231412521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15495561 + ... + 15524073.

It is an arithmetic number, because the mean of its divisors is an integer number (26692810820).

Almost surely, 2442231412121 is an apocalyptic number.

It is an amenable number.

442231412121 is a deficient number, since it is larger than the sum of its proper divisors (198396047559).

442231412121 is a wasteful number, since it uses less digits than its factorization.

442231412121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33445 (or 33442 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 442231412121 its reverse (121214132244), we get a palindrome (563445544365).

The spelling of 442231412121 in words is "four hundred forty-two billion, two hundred thirty-one million, four hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 379 1137 3411 4547 13641 28513 40923 85539 256617 1723313 5169939 10806427 15509817 32419281 97257843 129648611 388945833 1166837499 49136823569 147410470707 442231412121