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241420880085 = 357112531372617
BaseRepresentation
bin1110000011010111001…
…1100100100011010101
3212002011000222102001020
43200311303210203111
512423412221130320
6302523543151353
723304430423230
oct3406563444325
9762130872036
10241420880085
119342787a500
123a957445559
13199c5881088
14b983278417
15642ea77940
hex3835ce48d5

241420880085 has 192 divisors, whose sum is σ = 498190404096. Its totient is φ = 97681858560.

The previous prime is 241420880009. The next prime is 241420880123. The reversal of 241420880085 is 580088024142.

241420880085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 241420880085 - 28 = 241420879829 is a prime.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 92249697 + ... + 92252313.

It is an arithmetic number, because the mean of its divisors is an integer number (2594741688).

Almost surely, 2241420880085 is an apocalyptic number.

It is an amenable number.

241420880085 is an abundant number, since it is smaller than the sum of its proper divisors (256769524011).

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

241420880085 is a wasteful number, since it uses less digits than its factorization.

241420880085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 42.

The spelling of 241420880085 in words is "two hundred forty-one billion, four hundred twenty million, eight hundred eighty thousand, eighty-five".