Search a number
-
+
42432101313 = 3737167327007
BaseRepresentation
bin100111100001001001…
…100111101111000001
311001112011111002021220
4213201021213233001
51143400104220223
631254255105253
73031335624120
oct474111475701
9131464432256
1042432101313
1116aa48a6828
128282512229
134002bca774
1420a75c5ab7
15118529e6e3
hex9e1267bc1

42432101313 has 32 divisors (see below), whose sum is σ = 66803810304. Its totient is φ = 23450254272.

The previous prime is 42432101311. The next prime is 42432101317. The reversal of 42432101313 is 31310123424.

It is a happy number.

42432101313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42432101313 - 21 = 42432101311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42432101311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33745 + ... + 293262.

It is an arithmetic number, because the mean of its divisors is an integer number (2087619072).

Almost surely, 242432101313 is an apocalyptic number.

It is an amenable number.

42432101313 is a deficient number, since it is larger than the sum of its proper divisors (24371708991).

42432101313 is a wasteful number, since it uses less digits than its factorization.

42432101313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327221.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 42432101313 its reverse (31310123424), we get a palindrome (73742224737).

The spelling of 42432101313 in words is "forty-two billion, four hundred thirty-two million, one hundred one thousand, three hundred thirteen".

Divisors: 1 3 7 21 37 111 167 259 501 777 1169 3507 6179 18537 43253 129759 327007 981021 2289049 6867147 12099259 36297777 54610169 84694813 163830507 254084439 382271183 1146813549 2020576253 6061728759 14144033771 42432101313