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241084883886 = 2371117137224057
BaseRepresentation
bin1110000010000111000…
…1110110001110101110
3212001021121202000220120
43200201301312032232
512422220212241021
6302430341425410
723263210462410
oct3404161661656
9761247660816
10241084883886
119327514a5a0
123a882a0b266
131997108bc62
14b9507b49b0
1564103082c6
hex3821c763ae

241084883886 has 128 divisors (see below), whose sum is σ = 641157202944. Its totient is φ = 58505502720.

The previous prime is 241084883849. The next prime is 241084883887. The reversal of 241084883886 is 688388480142.

241084883886 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2410848838862 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241084883887) 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 63 ways as a sum of consecutive naturals, for example, 963970 + ... + 1188026.

It is an arithmetic number, because the mean of its divisors is an integer number (5009040648).

Almost surely, 2241084883886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241084883886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320578601472).

241084883886 is an abundant number, since it is smaller than the sum of its proper divisors (400072319058).

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

241084883886 is a wasteful number, since it uses less digits than its factorization.

241084883886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224234.

The product of its (nonzero) digits is 18874368, while the sum is 60.

The spelling of 241084883886 in words is "two hundred forty-one billion, eighty-four million, eight hundred eighty-three thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 119 137 154 187 231 238 274 357 374 411 462 561 714 822 959 1122 1309 1507 1918 2329 2618 2877 3014 3927 4521 4658 5754 6987 7854 9042 10549 13974 16303 21098 25619 31647 32606 48909 51238 63294 76857 97818 153714 179333 224057 358666 448114 537999 672171 1075998 1344342 1568399 2464627 3136798 3808969 4705197 4929254 7393881 7617938 9410394 11426907 14787762 17252389 22853814 26662783 30695809 34504778 41898659 51757167 53325566 61391618 79988349 83797318 92087427 103514334 125695977 159976698 184174854 214870663 251391954 293290613 337653899 429741326 521828753 586581226 644611989 675307798 879871839 1012961697 1043657506 1289223978 1565486259 1759743678 2025923394 2363577293 3130972518 3652801271 4727154586 5740116283 7090731879 7305602542 10958403813 11480232566 14181463758 17220348849 21916807626 34440697698 40180813981 80361627962 120542441943 241084883886