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241060116896 = 2529593438049
BaseRepresentation
bin1110000010000001001…
…1010111100110100000
3212001012220010201222122
43200200103113212200
512422142342220041
6302424054523412
723262460120424
oct3404023274640
9761186121878
10241060116896
1193262173805
123a876666568
1319968bc9b31
14b94b3a8b84
15640d064c4b
hex38204d79a0

241060116896 has 48 divisors (see below), whose sum is σ = 491781213000. Its totient is φ = 116177338368.

The previous prime is 241060116877. The next prime is 241060116967. The reversal of 241060116896 is 698611060142.

It can be written as a sum of positive squares in 4 ways, for example, as 240433315600 + 626801296 = 490340^2 + 25036^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 331280 + ... + 769328.

Almost surely, 2241060116896 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 241060116896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245890606500).

241060116896 is an abundant number, since it is smaller than the sum of its proper divisors (250721096104).

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

241060116896 is a wasteful number, since it uses less digits than its factorization.

241060116896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438681 (or 438673 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The spelling of 241060116896 in words is "two hundred forty-one billion, sixty million, one hundred sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 593 928 1186 2372 4744 9488 17197 18976 34394 68788 137576 275152 438049 550304 876098 1752196 3504392 7008784 12703421 14017568 25406842 50813684 101627368 203254736 259763057 406509472 519526114 1039052228 2078104456 4156208912 7533128653 8312417824 15066257306 30132514612 60265029224 120530058448 241060116896