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42440041032 = 23337413073797
BaseRepresentation
bin100111100001100111…
…111010001001001000
311001112201102110112120
4213201213322021020
51143404122303112
631255141211240
73031463253024
oct474147721110
9131481373476
1042440041032
1116aa9329a84
128285100b20
13400474a61c
1420a8691384
151185d1be8c
hex9e19fa248

42440041032 has 128 divisors (see below), whose sum is σ = 112018515840. Its totient is φ = 13381355520.

The previous prime is 42440041031. The next prime is 42440041037. The reversal of 42440041032 is 23014004424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42440040993 and 42440041011.

It is not an unprimeable number, because it can be changed into a prime (42440041031) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11175358 + ... + 11179154.

It is an arithmetic number, because the mean of its divisors is an integer number (875144655).

Almost surely, 242440041032 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 42440041032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56009257920).

42440041032 is an abundant number, since it is smaller than the sum of its proper divisors (69578474808).

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

42440041032 is a wasteful number, since it uses less digits than its factorization.

42440041032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42440041032 its reverse (23014004424), we get a palindrome (65454045456).

The spelling of 42440041032 in words is "forty-two billion, four hundred forty million, forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 41 74 82 111 123 148 164 222 246 296 307 328 444 492 614 888 921 984 1228 1517 1842 2456 3034 3684 3797 4551 6068 7368 7594 9102 11359 11391 12136 12587 15188 18204 22718 22782 25174 30376 34077 36408 37761 45436 45564 50348 68154 75522 90872 91128 100696 136308 140489 151044 155677 272616 280978 302088 311354 421467 465719 467031 561956 622708 842934 931438 934062 1123912 1165679 1245416 1397157 1685868 1862876 1868124 2331358 2794314 3371736 3497037 3725752 3736248 4662716 5588628 5760049 6994074 9325432 11177256 11520098 13988148 17280147 23040196 27976296 34560294 43130123 46080392 47792839 69120588 86260246 95585678 129390369 138241176 143378517 172520492 191171356 258780738 286757034 345040984 382342712 517561476 573514068 1035122952 1147028136 1768335043 3536670086 5305005129 7073340172 10610010258 14146680344 21220020516 42440041032