Search a number
-
+
442323111422241 = 357994926137009
BaseRepresentation
bin110010010010010100101111…
…1111011101010100100100001
32011000010200021011011220100000
41210210221133323222210201
5430434010213011002431
64204424233203250213
7162111535021203420
oct14444513773524441
92130120234156300
10442323111422241
11118a351a6070405
1241739223079969
1315ca6b7637a14a
147b327a4d292b7
153620c8c4a59e6
hex1924a5feea921

442323111422241 has 48 divisors (see below), whose sum is σ = 757304182544000. Its totient is φ = 252730648827648.

The previous prime is 442323111422221. The next prime is 442323111422249. The reversal of 442323111422241 is 142224111323244.

442323111422241 is a `hidden beast` number, since 4 + 42 + 3 + 231 + 1 + 142 + 2 + 241 = 666.

It is not a de Polignac number, because 442323111422241 - 29 = 442323111421729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 442323111422196 and 442323111422205.

It is not an unprimeable number, because it can be changed into a prime (442323111422249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3854745 + ... + 29991753.

Almost surely, 2442323111422241 is an apocalyptic number.

It is an amenable number.

442323111422241 is a deficient number, since it is larger than the sum of its proper divisors (314981071121759).

442323111422241 is an equidigital number, since it uses as much as digits as its factorization.

442323111422241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26146980 (or 26146968 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 442323111422241 its reverse (142224111323244), we get a palindrome (584547222745485).

The spelling of 442323111422241 in words is "four hundred forty-two trillion, three hundred twenty-three billion, one hundred eleven million, four hundred twenty-two thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 1701 9949 29847 69643 89541 208929 268623 626787 805869 1880361 2417607 5641083 16923249 26137009 78411027 182959063 235233081 548877189 705699243 1646631567 2117097729 4939894701 6351293187 14819684103 44459052309 260037102541 780111307623 1820259717787 2340333922869 5460779153361 7021001768607 16382337460083 21063005305821 49147012380249 63189015917463 147441037140747 442323111422241