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22144410041 = 132632164717
BaseRepresentation
bin10100100111111010…
…001110000110111001
32010011021121120210212
4110213322032012321
5330322432110131
614101211320505
71412521244135
oct244772160671
963137546725
1022144410041
119433a40026
124360150135
13211ba44710
1411010123c5
15899156a2b
hex527e8e1b9

22144410041 has 8 divisors (see below), whose sum is σ = 23849100744. Its totient is φ = 20439901440.

The previous prime is 22144410023. The next prime is 22144410091. The reversal of 22144410041 is 14001444122.

It can be written as a sum of positive squares in 4 ways, for example, as 2477152441 + 19667257600 = 49771^2 + 140240^2 .

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 22144410041 - 222 = 22140215737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22144409989 and 22144410016.

It is not an unprimeable number, because it can be changed into a prime (22144410091) 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, 309815 + ... + 374531.

It is an arithmetic number, because the mean of its divisors is an integer number (2981137593).

Almost surely, 222144410041 is an apocalyptic number.

It is an amenable number.

22144410041 is a deficient number, since it is larger than the sum of its proper divisors (1704690703).

22144410041 is a wasteful number, since it uses less digits than its factorization.

22144410041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91051.

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 22144410041 its reverse (14001444122), we get a palindrome (36145854163).

The spelling of 22144410041 in words is "twenty-two billion, one hundred forty-four million, four hundred ten thousand, forty-one".

Divisors: 1 13 26321 64717 342173 841321 1703416157 22144410041