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443102242113234 = 2331144314083119569
BaseRepresentation
bin110010010111111111100011…
…1101111011000011011010010
32011002220011100010000220022000
41210233333013233120123102
5431034241342440110414
64210222205422054430
7162222036425620104
oct14457770757303322
92132804303026260
10443102242113234
11119205673026390
124184422441a416
131603249280cb62
147b5c39775b574
15363618d563b09
hex192ffc7bd86d2

443102242113234 has 128 divisors (see below), whose sum is σ = 1076697507916800. Its totient is φ = 133959673186560.

The previous prime is 443102242113217. The next prime is 443102242113259. The reversal of 443102242113234 is 432311242201344.

443102242113234 is a `hidden beast` number, since 4 + 4 + 310 + 2 + 2 + 4 + 2 + 11 + 323 + 4 = 666.

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, 3705769002 + ... + 3705888570.

It is an arithmetic number, because the mean of its divisors is an integer number (8411699280600).

Almost surely, 2443102242113234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443102242113234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538348753958400).

443102242113234 is an abundant number, since it is smaller than the sum of its proper divisors (633595265803566).

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

443102242113234 is a wasteful number, since it uses less digits than its factorization.

443102242113234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134117 (or 134111 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 443102242113234 its reverse (432311242201344), we get a palindrome (875413484314578).

The spelling of 443102242113234 in words is "four hundred forty-three trillion, one hundred two billion, two hundred forty-two million, one hundred thirteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 443 594 886 1329 2658 3987 4873 7974 9746 11961 14083 14619 23922 28166 29238 42249 43857 84498 87714 119569 126747 131571 154913 239138 253494 263142 309826 358707 380241 464739 717414 760482 929478 1076121 1315259 1394217 2152242 2630518 2788434 3228363 3945777 4182651 6238769 6456726 7891554 8365302 11837331 12477538 18716307 23674662 35511993 37432614 52969067 56148921 68626459 71023986 105938134 112297842 137252918 158907201 168446763 205879377 317814402 336893526 411758754 476721603 582659737 617638131 953443206 1165319474 1235276262 1430164809 1683890227 1747979211 1852914393 2860329618 3367780454 3495958422 3705828786 5051670681 5243937633 10103341362 10487875266 15155012043 15731812899 18522792497 30310024086 31463625798 37045584994 45465036129 55568377491 90930072258 111136754982 166705132473 333410264946 500115397419 745963370561 1000230794838 1491926741122 2237890111683 4475780223366 6713670335049 8205597076171 13427340670098 16411194152342 20141011005147 24616791228513 40282022010294 49233582457026 73850373685539 147700747371078 221551121056617 443102242113234