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22144243041 = 325936416473
BaseRepresentation
bin10100100111111001…
…100101010101100001
32010011021022002201200
4110213321211111201
5330322411234131
614101203551413
71412516650224
oct244771452541
963137262650
1022144243041
119433936608
12436008b569
13211b9b66bb
141100dab5bb
158991222e6
hex527e65561

22144243041 has 24 divisors (see below), whose sum is σ = 32095010376. Its totient is φ = 14712668160.

The previous prime is 22144243021. The next prime is 22144243057. The reversal of 22144243041 is 14034244122.

22144243041 is a `hidden beast` number, since 221 + 4 + 4 + 2 + 430 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5344194816 + 16800048225 = 73104^2 + 129615^2 .

It is not a de Polignac number, because 22144243041 - 26 = 22144242977 is a prime.

It is a super-3 number, since 3×221442430413 (a number of 32 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22144242996 and 22144243014.

It is not an unprimeable number, because it can be changed into a prime (22144243021) 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, 3417781 + ... + 3424253.

It is an arithmetic number, because the mean of its divisors is an integer number (1337292099).

Almost surely, 222144243041 is an apocalyptic number.

It is an amenable number.

22144243041 is a deficient number, since it is larger than the sum of its proper divisors (9950767335).

22144243041 is a wasteful number, since it uses less digits than its factorization.

22144243041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7713 (or 7710 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 22144243041 its reverse (14034244122), we get a palindrome (36178487163).

The spelling of 22144243041 in words is "twenty-two billion, one hundred forty-four million, two hundred forty-three thousand, forty-one".

Divisors: 1 3 9 593 641 1779 1923 5337 5769 6473 19419 58257 380113 1140339 3421017 3838489 4149193 11515467 12447579 34546401 37342737 2460471449 7381414347 22144243041