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442443304134 = 23513471489979
BaseRepresentation
bin1100111000000111010…
…11010000110011000110
31120022000122010121200000
412130003223100303012
524222110441213014
6535131115302130
743652105014326
oct6340353206306
91508018117600
10442443304134
1116070378aa57
12718b944a946
133295095bca0
14175b3063286
15b797b5c509
hex6703ad0cc6

442443304134 has 96 divisors (see below), whose sum is σ = 1093383083520. Its totient is φ = 133239792672.

The previous prime is 442443304099. The next prime is 442443304139. The reversal of 442443304134 is 431403344244.

442443304134 is a `hidden beast` number, since 44 + 244 + 330 + 41 + 3 + 4 = 666.

442443304134 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4424433041342 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442443304139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448044 + ... + 1041935.

It is an arithmetic number, because the mean of its divisors is an integer number (11389407120).

Almost surely, 2442443304134 is an apocalyptic number.

442443304134 is an abundant number, since it is smaller than the sum of its proper divisors (650939779386).

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

442443304134 is a wasteful number, since it uses less digits than its factorization.

442443304134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490056 (or 1490044 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 442443304134 its reverse (431403344244), we get a palindrome (873846648378).

The spelling of 442443304134 in words is "four hundred forty-two billion, four hundred forty-three million, three hundred four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 47 54 78 81 94 117 141 162 234 243 282 351 423 486 611 702 846 1053 1222 1269 1833 2106 2538 3159 3666 3807 5499 6318 7614 10998 11421 16497 22842 32994 49491 98982 148473 296946 1489979 2979958 4469937 8939874 13409811 19369727 26819622 38739454 40229433 58109181 70029013 80458866 116218362 120688299 140058026 174327543 210087039 241376598 348655086 362064897 420174078 522982629 630261117 724129794 910377169 1045965258 1260522234 1568947887 1820754338 1890783351 2731131507 3137895774 3781566702 4706843661 5462263014 5672350053 8193394521 9413687322 11344700106 16386789042 17017050159 24580183563 34034100318 49160367126 73740550689 147481101378 221221652067 442443304134