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42441335144 = 231337107103079
BaseRepresentation
bin100111100001101100…
…110110000101101000
311001112210212012201122
4213201230312011220
51143404440211034
631255225034412
73031510252655
oct474154660550
9131483765648
1042441335144
1116aaa03329a
128285625a08
134004ab1680
1420a890ac2c
151185ec562e
hex9e1b36168

42441335144 has 64 divisors (see below), whose sum is σ = 88838467200. Its totient is φ = 18880591104.

The previous prime is 42441335129. The next prime is 42441335161. The reversal of 42441335144 is 44153314424.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360197 + ... + 463275.

It is an arithmetic number, because the mean of its divisors is an integer number (1388101050).

Almost surely, 242441335144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42441335144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44419233600).

42441335144 is an abundant number, since it is smaller than the sum of its proper divisors (46397132056).

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

42441335144 is a wasteful number, since it uses less digits than its factorization.

42441335144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103242 (or 103238 counting only the distinct ones).

The product of its digits is 92160, while the sum is 35.

Adding to 42441335144 its reverse (44153314424), we get a palindrome (86594649568).

The spelling of 42441335144 in words is "forty-two billion, four hundred forty-one million, three hundred thirty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 37 52 74 104 107 148 214 296 428 481 856 962 1391 1924 2782 3848 3959 5564 7918 11128 15836 31672 51467 102934 103079 205868 206158 411736 412316 824632 1340027 2680054 3813923 5360108 7627846 10720216 11029453 15255692 22058906 30511384 44117812 49580999 88235624 99161998 143382889 198323996 286765778 396647992 408089761 573531556 816179522 1147063112 1632359044 3264718088 5305166893 10610333786 21220667572 42441335144