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22414022341241 = 2571213402117881
BaseRepresentation
bin1010001100010101010111…
…10101101111001001111001
32221100202111202101110121112
411012022223311233021321
510414212404204404431
6115400505410450105
74502234240246216
oct506125365571171
987322452343545
1022414022341241
117161808308793
12261bba2893935
13c678302b827b
14576bb7320b0d
1528d090804c2b
hex1462abd6f279

22414022341241 has 16 divisors (see below), whose sum is σ = 22526646789648. Its totient is φ = 22301606707200.

The previous prime is 22414022341213. The next prime is 22414022341279. The reversal of 22414022341241 is 14214322041422.

It can be written as a sum of positive squares in 8 ways, for example, as 1891120032400 + 20522902308841 = 1375180^2 + 4530221^2 .

It is a cyclic number.

It is not a de Polignac number, because 22414022341241 - 210 = 22414022340217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22414022341198 and 22414022341207.

It is not an unprimeable number, because it can be changed into a prime (22414022343241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1253501621 + ... + 1253519501.

It is an arithmetic number, because the mean of its divisors is an integer number (1407915424353).

Almost surely, 222414022341241 is an apocalyptic number.

It is an amenable number.

22414022341241 is a deficient number, since it is larger than the sum of its proper divisors (112624448407).

22414022341241 is a wasteful number, since it uses less digits than its factorization.

22414022341241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23372.

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 22414022341241 its reverse (14214322041422), we get a palindrome (36628344382663).

The spelling of 22414022341241 in words is "twenty-two trillion, four hundred fourteen billion, twenty-two million, three hundred forty-one thousand, two hundred forty-one".

Divisors: 1 257 1213 4021 17881 311741 1033397 4595417 4877473 21689653 71899501 1253510561 5574240821 18478171757 87214094713 22414022341241