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241430240224221 = 3612711912396673
BaseRepresentation
bin110110111001010001011011…
…101101001110001111011101
31011122211111122112212102102020
4312321101123231032033131
5223121043112444133341
62213251304325250353
7101565521263605366
oct6671213355161735
91148744575772366
10241430240224221
116aa21a98595754
12230b296ab639b9
13a493a0a5244b9
144389400a06b6d
151cda24bb97566
hexdb945bb4e3dd

241430240224221 has 96 divisors (see below), whose sum is σ = 335063793991680. Its totient is φ = 154595097216000.

The previous prime is 241430240224133. The next prime is 241430240224231. The reversal of 241430240224221 is 122422042034142.

It is not a de Polignac number, because 241430240224221 - 225 = 241430206669789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241430240224231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36180161541 + ... + 36180168213.

It is an arithmetic number, because the mean of its divisors is an integer number (3490247854080).

Almost surely, 2241430240224221 is an apocalyptic number.

It is an amenable number.

241430240224221 is a deficient number, since it is larger than the sum of its proper divisors (93633553767459).

241430240224221 is a wasteful number, since it uses less digits than its factorization.

241430240224221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7299 (or 7238 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 241430240224221 its reverse (122422042034142), we get a palindrome (363852282258363).

The spelling of 241430240224221 in words is "two hundred forty-one trillion, four hundred thirty billion, two hundred forty million, two hundred twenty-four thousand, two hundred twenty-one".

Divisors: 1 3 61 71 183 191 213 239 573 717 3721 4331 6673 11163 11651 12993 13561 14579 16969 20019 34953 40683 43737 45649 50907 136947 264191 407053 473783 710711 792573 827221 889319 1035109 1221159 1274543 1421349 1594847 2132133 2481663 2667957 2784589 3105327 3241079 3823629 4784541 8353767 9723237 24830233 28900763 50460481 63141649 74490699 77747123 86702289 90492553 97285667 113234137 151381443 169859929 189424947 197705819 233241369 271477659 291857001 304615777 339702411 509579787 593117457 913847331 1762946543 4742574503 5288839629 5520045733 5934425687 6907282357 12060054959 14227723509 16560137199 17803277061 18581562397 20721847071 21627720167 36180164877 55744687191 64883160501 336722789713 421344223777 1010168369139 1133475306217 1264032671331 1319290930187 3400425918651 3957872790561 80476746741407 241430240224221