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442128707441 = 1796733670123
BaseRepresentation
bin1100110111100001110…
…11001010111101110001
31120021012201011110010122
412123300323022331301
524220434422114231
6535040000340025
743641235001651
oct6336073127561
91507181143118
10442128707441
11160562146893
1271830014615
13329007202b5
1417583370361
15b77a21877b
hex66f0ecaf71

442128707441 has 8 divisors (see below), whose sum is σ = 445259443680. Its totient is φ = 439005313152.

The previous prime is 442128707437. The next prime is 442128707473. The reversal of 442128707441 is 144707821244.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 442128707441 - 22 = 442128707437 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 442128707392 and 442128707401.

It is not an unprimeable number, because it can be changed into a prime (442128707941) 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 7 ways as a sum of consecutive naturals, for example, 1714595 + ... + 1955528.

It is an arithmetic number, because the mean of its divisors is an integer number (55657430460).

Almost surely, 2442128707441 is an apocalyptic number.

It is an amenable number.

442128707441 is a deficient number, since it is larger than the sum of its proper divisors (3130736239).

442128707441 is a wasteful number, since it uses less digits than its factorization.

442128707441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670975.

The product of its (nonzero) digits is 401408, while the sum is 44.

The spelling of 442128707441 in words is "four hundred forty-two billion, one hundred twenty-eight million, seven hundred seven thousand, four hundred forty-one".

Divisors: 1 179 673 120467 3670123 656952017 2469992779 442128707441