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442010225723 = 112310721177383
BaseRepresentation
bin1100110111010011101…
…11001100110000111011
31120020220110012221202212
412123221313030300323
524220214104210343
6535020125045335
743635265633133
oct6335167146073
91506813187685
10442010225723
11160501281810
12717b83b684b
13328b2008481
141757172bac3
15b76eb12c18
hex66e9dccc3b

442010225723 has 32 divisors (see below), whose sum is σ = 510273810432. Its totient is φ = 378955130400.

The previous prime is 442010225717. The next prime is 442010225737. The reversal of 442010225723 is 327522010244.

It is not a de Polignac number, because 442010225723 - 216 = 442010160187 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 442010225723.

It is not an unprimeable number, because it can be changed into a prime (442010225023) 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 31 ways as a sum of consecutive naturals, for example, 5673290 + ... + 5750672.

It is an arithmetic number, because the mean of its divisors is an integer number (15946056576).

Almost surely, 2442010225723 is an apocalyptic number.

442010225723 is a deficient number, since it is larger than the sum of its proper divisors (68263584709).

442010225723 is a wasteful number, since it uses less digits than its factorization.

442010225723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77735.

The product of its (nonzero) digits is 26880, while the sum is 32.

Adding to 442010225723 its reverse (327522010244), we get a palindrome (769532235967).

The spelling of 442010225723 in words is "four hundred forty-two billion, ten million, two hundred twenty-five thousand, seven hundred twenty-three".

Divisors: 1 11 23 107 211 253 1177 2321 2461 4853 22577 27071 53383 77383 248347 519271 851213 1779809 5711981 8279981 16327813 19577899 91079791 179605943 190439563 375539699 1747075991 2094835193 4130936689 19217835901 40182747793 442010225723