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241081453568 = 2101093215399
BaseRepresentation
bin1110000010000110010…
…0110000110000000000
3212001021101021202101202
43200201210300300000
512422213323003233
6302430140120332
723263136354444
oct3404144606000
9761241252352
10241081453568
119327321731a
123a8818360a8
131997045a797
14b950160824
15640ed7bbe8
hex3821930c00

241081453568 has 44 divisors (see below), whose sum is σ = 482370637200. Its totient is φ = 120429883392.

The previous prime is 241081453549. The next prime is 241081453589. The reversal of 241081453568 is 865354180142.

241081453568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1011533 + ... + 1226931.

Almost surely, 2241081453568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241081453568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241185318600).

241081453568 is an abundant number, since it is smaller than the sum of its proper divisors (241289183632).

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

241081453568 is a wasteful number, since it uses less digits than its factorization.

241081453568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216512 (or 216494 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 47.

The spelling of 241081453568 in words is "two hundred forty-one billion, eighty-one million, four hundred fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1093 2186 4372 8744 17488 34976 69952 139904 215399 279808 430798 559616 861596 1119232 1723192 3446384 6892768 13785536 27571072 55142144 110284288 220568576 235431107 470862214 941724428 1883448856 3766897712 7533795424 15067590848 30135181696 60270363392 120540726784 241081453568