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41442523510122 = 23271362724136561
BaseRepresentation
bin10010110110001000101101…
…11001000111010101101010
312102201212101201101221101200
421123010112321013111222
520412443242004310442
6224050233225225030
711505060236421660
oct1133042671072552
9172655351357350
1041442523510122
1112228748131959
124793a09332176
131a18022cc5337
14a33b864a2c30
154bd03618534c
hex25b116e4756a

41442523510122 has 48 divisors (see below), whose sum is σ = 102627116884032. Its totient is φ = 11839851596160.

The previous prime is 41442523510111. The next prime is 41442523510127. The reversal of 41442523510122 is 22101532524414.

41442523510122 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 2 + 523 + 5 + 1 + 0 + 122 = 666.

41442523510122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (41442523510127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10351279 + ... + 13785282.

It is an arithmetic number, because the mean of its divisors is an integer number (2138064935084).

Almost surely, 241442523510122 is an apocalyptic number.

41442523510122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

41442523510122 is an abundant number, since it is smaller than the sum of its proper divisors (61184593373910).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41442523510122 is a wasteful number, since it uses less digits than its factorization.

41442523510122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24150203 (or 24150200 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 41442523510122 in words is "forty-one trillion, four hundred forty-two billion, five hundred twenty-three million, five hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 13627 27254 40881 81762 95389 122643 190778 245286 286167 572334 858501 1717002 24136561 48273122 72409683 144819366 168955927 217229049 337911854 434458098 506867781 1013735562 1520603343 3041206686 328908916747 657817833494 986726750241 1973453500482 2302362417229 2960180250723 4604724834458 5920360501446 6907087251687 13814174503374 20721261755061 41442523510122