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4442244122205 = 325209701470749
BaseRepresentation
bin100000010100100101001…
…1000100000011001011101
3120201200012122000211100200
41000221022120200121131
51040240203443402310
613240423324214113
7635640644011221
oct100511230403135
916650178024320
104442244122205
111462a43aa825a
125b8b2a69a339
13262b953c8896
14115011b54781
157a8463c09c0
hex40a4a62065d

4442244122205 has 24 divisors (see below), whose sum is σ = 7699942887000. Its totient is φ = 2369180534400.

The previous prime is 4442244122201. The next prime is 4442244122207. The reversal of 4442244122205 is 5022214422444.

4442244122205 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 2 + 441 + 2 + 2 + 205 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2285064559449 + 2157179562756 = 1511643^2 + 1468734^2 .

It is not a de Polignac number, because 4442244122205 - 22 = 4442244122201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4442244122205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4442244122201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9201171 + ... + 9671919.

It is an arithmetic number, because the mean of its divisors is an integer number (320830953625).

Almost surely, 24442244122205 is an apocalyptic number.

4442244122205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4442244122205 is a deficient number, since it is larger than the sum of its proper divisors (3257698764795).

4442244122205 is a wasteful number, since it uses less digits than its factorization.

4442244122205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680461 (or 680458 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 36.

Adding to 4442244122205 its reverse (5022214422444), we get a palindrome (9464458544649).

The spelling of 4442244122205 in words is "four trillion, four hundred forty-two billion, two hundred forty-four million, one hundred twenty-two thousand, two hundred five".

Divisors: 1 3 5 9 15 45 209701 470749 629103 1048505 1412247 1887309 2353745 3145515 4236741 7061235 9436545 21183705 98716536049 296149608147 493582680245 888448824441 1480748040735 4442244122205