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442443423042 = 23453103500299
BaseRepresentation
bin1100111000000111010…
…11101101110101000010
31120022000122100122210000
412130003223231311002
524222111004014132
6535131122020430
743652106021105
oct6340353556502
91508018318700
10442443423042
11160703861325
12718b94a7716
13329509a114a
14175b309473c
15b797b8287c
hex6703aedd42

442443423042 has 80 divisors (see below), whose sum is σ = 1019915582400. Its totient is φ = 143293351968.

The previous prime is 442443423001. The next prime is 442443423043. The reversal of 442443423042 is 240324344244.

442443423042 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 4 + 342 + 304 + 2 = 666.

442443423042 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 442443422988 and 442443423006.

It is not an unprimeable number, because it can be changed into a prime (442443423043) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 634209 + ... + 1134507.

It is an arithmetic number, because the mean of its divisors is an integer number (12748944780).

Almost surely, 2442443423042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442443423042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509957791200).

442443423042 is an abundant number, since it is smaller than the sum of its proper divisors (577472159358).

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

442443423042 is a wasteful number, since it uses less digits than its factorization.

442443423042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500469 (or 500460 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 442443423042 its reverse (240324344244), we get a palindrome (682767767286).

The spelling of 442443423042 in words is "four hundred forty-two billion, four hundred forty-three million, four hundred twenty-three thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 81 103 106 159 162 206 309 318 477 618 927 954 1431 1854 2781 2862 4293 5459 5562 8343 8586 10918 16377 16686 32754 49131 98262 147393 294786 442179 500299 884358 1000598 1500897 3001794 4502691 9005382 13508073 26515847 27016146 40524219 51530797 53031694 79547541 81048438 103061594 154592391 159095082 238642623 309184782 463777173 477285246 715927869 927554346 1391331519 1431855738 2147783607 2731132241 2782663038 4173994557 4295567214 5462264482 8193396723 8347989114 16386793446 24580190169 49160380338 73740570507 147481141014 221221711521 442443423042