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241314455102553 = 32717377621379903
BaseRepresentation
bin110110110111100101100110…
…011000000010010001011001
31011122102102210021201211000200
4312313211212120002101121
5223112144001001240203
62213122155200252413
7101554252104402120
oct6667454630022131
91148372707654020
10241314455102553
116a98798193a058
1223094436911109
13a485b17624ca1
14438397938aab7
151cd7221c5e9a3
hexdb7966602459

241314455102553 has 96 divisors (see below), whose sum is σ = 433204258646016. Its totient is φ = 126271690020864.

The previous prime is 241314455102527. The next prime is 241314455102647. The reversal of 241314455102553 is 355201554413142.

241314455102553 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 1 + 4 + 45 + 51 + 0 + 2 + 553 = 666.

It is not a de Polignac number, because 241314455102553 - 226 = 241314387993689 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 241314455102499 and 241314455102508.

It is not an unprimeable number, because it can be changed into a prime (241314455102353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3020052600 + ... + 3020132502.

It is an arithmetic number, because the mean of its divisors is an integer number (4512544360896).

Almost surely, 2241314455102553 is an apocalyptic number.

It is an amenable number.

241314455102553 is a deficient number, since it is larger than the sum of its proper divisors (191889803543463).

241314455102553 is a wasteful number, since it uses less digits than its factorization.

241314455102553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156183 (or 156180 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 241314455102553 in words is "two hundred forty-one trillion, three hundred fourteen billion, four hundred fifty-five million, one hundred two thousand, five hundred fifty-three".

Divisors: 1 3 7 9 17 21 37 51 63 111 119 153 259 333 357 629 777 1071 1887 2331 4403 5661 13209 39627 76213 79903 228639 239709 533491 559321 685917 719127 1295621 1358351 1600473 1677963 2819881 2956411 3886863 4075053 4801419 5033889 8459643 8869233 9069347 9508457 11660589 12225159 19739167 20694877 25378929 26607699 27208041 28525371 47937977 50258987 59217501 62084631 81624123 85576113 143813931 150776961 177652503 186253893 335565839 351812909 431441793 452330883 1006697517 1055438727 3020092551 3166316181 6089647339 18268942017 42627531373 54806826051 103524004763 127882594119 225316951543 310572014289 383647782357 675950854629 724668033341 931716042867 1577218660801 2027852563887 2174004100023 3830388176231 4731655982403 6522012300069 11491164528693 14194967947209 26812717233617 34473493586079 80438151700851 241314455102553