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442432432422 = 233238310740111
BaseRepresentation
bin1100111000000110000…
…01110010100100100110
31120021222212200021111000
412130003001302210212
524222100200314142
6535130050254130
743651613424351
oct6340301624446
91507885607430
10442432432422
111606a8634972
12718b5887346
133294b623716
14175b1833298
15b796c1114c
hex6703072926

442432432422 has 128 divisors (see below), whose sum is σ = 1048020664320. Its totient is φ = 138059903520.

The previous prime is 442432432391. The next prime is 442432432457. The reversal of 442432432422 is 224234234244.

442432432422 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 324 + 324 + 2 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11010147 + ... + 11050257.

It is an arithmetic number, because the mean of its divisors is an integer number (8187661440).

Almost surely, 2442432432422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442432432422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524010332160).

442432432422 is an abundant number, since it is smaller than the sum of its proper divisors (605588231898).

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

442432432422 is a wasteful number, since it uses less digits than its factorization.

442432432422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40335 (or 40329 counting only the distinct ones).

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

Adding to 442432432422 its reverse (224234234244), we get a palindrome (666666666666).

The spelling of 442432432422 in words is "four hundred forty-two billion, four hundred thirty-two million, four hundred thirty-two thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 83 107 138 166 207 214 249 321 414 498 621 642 747 963 1242 1494 1909 1926 2241 2461 2889 3818 4482 4922 5727 5778 7383 8881 11454 14766 17181 17762 22149 26643 34362 40111 44298 51543 53286 66447 79929 80222 103086 120333 132894 159858 204263 239787 240666 360999 408526 479574 612789 721998 922553 1082997 1225578 1838367 1845106 2165994 2767659 3329213 3676734 4291877 5515101 5535318 6658426 8302977 8583754 9987639 11030202 12875631 16605954 19975278 24908931 25751262 29962917 38626893 49817862 59925834 76571899 77253786 89888751 98713171 115880679 153143798 179777502 197426342 229715697 231761358 296139513 356225791 459431394 592279026 689147091 712451582 888418539 1068677373 1378294182 1776837078 2067441273 2137354746 2665255617 3206032119 4134882546 5330511234 6412064238 8193193193 9618096357 16386386386 19236192714 24579579579 49159159158 73738738737 147477477474 221216216211 442432432422