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22444434314041 = 291901407125729
BaseRepresentation
bin1010001101001110000001…
…00010001101001100111001
32221110200000012212202102111
411012213000202031030321
510420212200141022131
6115422455240532321
74504362001614025
oct506470042151471
987420005782374
1022444434314041
1171736a4055003
122625a6b7810a1
13c6a668b2444c
14578460369385
1528dc706a9ab1
hex1469c088d339

22444434314041 has 8 divisors (see below), whose sum is σ = 23230594153800. Its totient is φ = 21659088729600.

The previous prime is 22444434314023. The next prime is 22444434314063. The reversal of 22444434314041 is 14041343444422.

It can be written as a sum of positive squares in 4 ways, for example, as 6040638288441 + 16403796025600 = 2457771^2 + 4050160^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22444434314041 - 27 = 22444434313913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22444434313985 and 22444434314003.

It is not an unprimeable number, because it can be changed into a prime (22444434344041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203507736 + ... + 203617993.

It is an arithmetic number, because the mean of its divisors is an integer number (2903824269225).

Almost surely, 222444434314041 is an apocalyptic number.

It is an amenable number.

22444434314041 is a deficient number, since it is larger than the sum of its proper divisors (786159839759).

22444434314041 is a wasteful number, since it uses less digits than its factorization.

22444434314041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407127659.

The product of its (nonzero) digits is 589824, while the sum is 40.

Adding to 22444434314041 its reverse (14041343444422), we get a palindrome (36485777758463).

The spelling of 22444434314041 in words is "twenty-two trillion, four hundred forty-four billion, four hundred thirty-four million, three hundred fourteen thousand, forty-one".

Divisors: 1 29 1901 55129 407125729 11806646141 773946010829 22444434314041