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44122113211041 = 322711049136112671
BaseRepresentation
bin10100000100000111110101…
…11000100111101010100001
312210020000212221011120022200
422002003322320213222201
521240344041440223131
6233501230300123413
712202501045161315
oct1202037270475241
9183200787146280
1044122113211041
11130710a0712568
124b471b2536569
131b8090b312698
14ac7743689b45
15517ab64542e6
hex2820fae27aa1

44122113211041 has 48 divisors (see below), whose sum is σ = 64080195379200. Its totient is φ = 29254442112000.

The previous prime is 44122113211037. The next prime is 44122113211063. The reversal of 44122113211041 is 14011231122144.

44122113211041 is a `hidden beast` number, since 4 + 412 + 2 + 1 + 132 + 110 + 4 + 1 = 666.

It is not a de Polignac number, because 44122113211041 - 22 = 44122113211037 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 44122113210996 and 44122113211014.

It is not an unprimeable number, because it can be changed into a prime (44122113211091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3482127136 + ... + 3482139806.

It is an arithmetic number, because the mean of its divisors is an integer number (1335004070400).

Almost surely, 244122113211041 is an apocalyptic number.

It is an amenable number.

44122113211041 is a deficient number, since it is larger than the sum of its proper divisors (19958082168159).

44122113211041 is a wasteful number, since it uses less digits than its factorization.

44122113211041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15358 (or 15355 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 44122113211041 its reverse (14011231122144), we get a palindrome (58133344333185).

The spelling of 44122113211041 in words is "forty-four trillion, one hundred twenty-two billion, one hundred thirteen million, two hundred eleven thousand, forty-one".

Divisors: 1 3 9 271 813 1049 1361 2439 3147 4083 9441 12249 12671 38013 114039 284279 368831 852837 1106493 1427689 2558511 3319479 3433841 4283067 10301523 12849201 13291879 17245231 30904569 39875637 51735693 119626911 155207079 386903719 1160711157 3482133471 3602099209 4673457601 10806297627 14020372803 18090247319 32418892881 42061118409 54270741957 162812225871 4902457023449 14707371070347 44122113211041