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41442055656516 = 22321151168212681
BaseRepresentation
bin10010110110000111110110…
…00000011001010001000100
312102201211012010001111220100
421123003323000121101010
520412441312222002031
6224050114553404100
711505042525633204
oct1133037300312104
9172654163044810
1041442055656516
1112228528031589
1247938b8709630
131a17c7a0b7198
14a33b402b8404
154bd00a06bde6
hex25b0fb019444

41442055656516 has 18 divisors (see below), whose sum is σ = 104756307354062. Its totient is φ = 13814018552160.

The previous prime is 41442055656511. The next prime is 41442055656523. The reversal of 41442055656516 is 61565655024414.

It is a happy number.

41442055656516 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 2 + 0 + 5 + 565 + 65 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27293519462400 + 14148536194116 = 5224320^2 + 3761454^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (41442055656511) 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 5 ways as a sum of consecutive naturals, for example, 575584106305 + ... + 575584106376.

Almost surely, 241442055656516 is an apocalyptic number.

It is an amenable number.

41442055656516 is an abundant number, since it is smaller than the sum of its proper divisors (63314251697546).

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

41442055656516 is a wasteful number, since it uses less digits than its factorization.

41442055656516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151168212691 (or 1151168212686 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 41442055656516 in words is "forty-one trillion, four hundred forty-two billion, fifty-five million, six hundred fifty-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 1151168212681 2302336425362 3453504638043 4604672850724 6907009276086 10360513914129 13814018552172 20721027828258 41442055656516