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41124443234121 = 32138934611141097
BaseRepresentation
bin10010101100111000001111…
…10101001001111101001001
312101121110101011020201122200
421112130013311021331021
520342240324431442441
6223244150341110413
711443100016611352
oct1126340765117511
9171543334221580
1041124443234121
11121158621036a5
1247422389b8409
1319c403143a280
14a2260ddd8d29
154b4b1b5627b6
hex256707d49f49

41124443234121 has 48 divisors (see below), whose sum is σ = 64708883300880. Its totient is φ = 25015745525760.

The previous prime is 41124443234107. The next prime is 41124443234143. The reversal of 41124443234121 is 12143234442114.

41124443234121 is a `hidden beast` number, since 4 + 11 + 244 + 43 + 2 + 341 + 21 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2461167953721 + 38663275280400 = 1568811^2 + 6217980^2 .

It is not a de Polignac number, because 41124443234121 - 221 = 41124441136969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41124443234321) 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, 35468845 + ... + 36609941.

It is an arithmetic number, because the mean of its divisors is an integer number (1348101735435).

Almost surely, 241124443234121 is an apocalyptic number.

It is an amenable number.

41124443234121 is a deficient number, since it is larger than the sum of its proper divisors (23584440066759).

41124443234121 is a wasteful number, since it uses less digits than its factorization.

41124443234121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144666 (or 1144663 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 41124443234121 its reverse (12143234442114), we get a palindrome (53267677676235).

The spelling of 41124443234121 in words is "forty-one trillion, one hundred twenty-four billion, four hundred forty-three million, two hundred thirty-four thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 89 117 267 801 1157 3461 3471 10383 10413 31149 44993 134979 308029 404937 924087 1141097 2772261 3423291 4004377 10269873 12013131 14834261 36039393 44502783 101557633 133508349 304672899 914018697 1320249229 3949336717 3960747687 11848010151 11882243061 35544030453 51341377321 154024131963 351490967813 462072395889 1054472903439 3163418710317 4569382581569 13708147744707 41124443234121