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4442115521241 = 3714957135799
BaseRepresentation
bin100000010100100001010…
…1101111011101011011001
3120201122212200001020000000
41000221002231323223121
51040234423033134431
613240402452003213
7635634522635256
oct100510255735331
916648780036000
104442115521241
111462988451472
125b8ab3600509
13262b7487cb38
14114ddca3a42d
157a839e6b9e6
hex40a42b7bad9

4442115521241 has 32 divisors (see below), whose sum is σ = 6662652192000. Its totient is φ = 2961190546704.

The previous prime is 4442115521197. The next prime is 4442115521257. The reversal of 4442115521241 is 1421255112444.

It is a happy number.

4442115521241 is a `hidden beast` number, since 4 + 4 + 42 + 11 + 552 + 12 + 41 = 666.

It is not a de Polignac number, because 4442115521241 - 26 = 4442115521177 is a prime.

It is a super-2 number, since 2×44421155212412 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4442115521196 and 4442115521205.

It is not an unprimeable number, because it can be changed into a prime (4442115591241) 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, 32643060 + ... + 32778858.

It is an arithmetic number, because the mean of its divisors is an integer number (208207881000).

Almost surely, 24442115521241 is an apocalyptic number.

It is an amenable number.

4442115521241 is a deficient number, since it is larger than the sum of its proper divisors (2220536670759).

4442115521241 is an equidigital number, since it uses as much as digits as its factorization.

4442115521241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150777 (or 150759 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The spelling of 4442115521241 in words is "four trillion, four hundred forty-two billion, one hundred fifteen million, five hundred twenty-one thousand, two hundred forty-one".

Divisors: 1 3 9 27 81 243 729 2187 14957 44871 134613 135799 403839 407397 1211517 1222191 3634551 3666573 10903653 10999719 32710959 32999157 98997471 296992413 2031145643 6093436929 18280310787 54840932361 164522797083 493568391249 1480705173747 4442115521241