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442434025325142 = 232892683694914813
BaseRepresentation
bin110010010011001000011001…
…0111010101000001001010110
32011000112021112221020221210200
41210212100302322220021112
5430442314340440401032
64204551215121201330
7162122542410626004
oct14446206272501126
92130467487227720
10442434025325142
11118a78242079274
1241756817a90246
1315cb4470cca8a6
147b37cc7647a74
153623ace92447c
hex1926432ea8256

442434025325142 has 96 divisors (see below), whose sum is σ = 969944250132000. Its totient is φ = 145735786538496.

The previous prime is 442434025325141. The next prime is 442434025325161. The reversal of 442434025325142 is 241523520434244.

442434025325142 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 340 + 2 + 53 + 251 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442434025325141) 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, 29867948128 + ... + 29867962940.

It is an arithmetic number, because the mean of its divisors is an integer number (10103585938875).

Almost surely, 2442434025325142 is an apocalyptic number.

442434025325142 is an abundant number, since it is smaller than the sum of its proper divisors (527510224806858).

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

442434025325142 is a wasteful number, since it uses less digits than its factorization.

442434025325142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24542 (or 24539 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 45.

Adding to 442434025325142 its reverse (241523520434244), we get a palindrome (683957545759386).

The spelling of 442434025325142 in words is "four hundred forty-two trillion, four hundred thirty-four billion, twenty-five million, three hundred twenty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 89 178 267 534 801 1602 2683 5366 6949 8049 13898 14813 16098 20847 24147 29626 41694 44439 48294 62541 88878 125082 133317 238787 266634 477574 618461 716361 1236922 1318357 1432722 1855383 2149083 2636714 3710766 3955071 4298166 5566149 7910142 11132298 11865213 18644167 23730426 37288334 39743279 55932501 79486558 102935537 111865002 119229837 167797503 205871074 238459674 308806611 335595006 357689511 617613222 715379022 926419833 1659330863 1852839666 3318661726 3537151831 4977992589 7074303662 9161262793 9955985178 10611455493 14933977767 18322525586 21222910986 27483788379 29867955534 31834366479 54967576758 63668732958 82451365137 164902730274 276176045771 552352091542 828528137313 1657056274626 2485584411939 4971168823878 24579668073619 49159336147238 73739004220857 147478008441714 221217012662571 442434025325142