Search a number
-
+
241253234013141 = 327431271065165837
BaseRepresentation
bin110110110110101100100101…
…010100000111001111010101
31011122012120202200110020111200
4312312230211110013033111
5223110143110401410031
62213034112232023113
7101546654016622020
oct6666544524071725
91148176680406450
10241253234013141
116a963a16161499
12230845abb31a99
13a48010bbcb3ac
144380a0c6781b7
151cd583c2078e6
hexdb6b255073d5

241253234013141 has 96 divisors (see below), whose sum is σ = 410774781001728. Its totient is φ = 133578136540800.

The previous prime is 241253234013137. The next prime is 241253234013223. The reversal of 241253234013141 is 141310432352142.

241253234013141 is a `hidden beast` number, since 2 + 4 + 1 + 253 + 234 + 0 + 131 + 41 = 666.

It is not a de Polignac number, because 241253234013141 - 22 = 241253234013137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 241253234013096 and 241253234013105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241253234013241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3664369075 + ... + 3664434911.

It is an arithmetic number, because the mean of its divisors is an integer number (4278903968768).

Almost surely, 2241253234013141 is an apocalyptic number.

241253234013141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

241253234013141 is a deficient number, since it is larger than the sum of its proper divisors (169521546988587).

241253234013141 is a wasteful number, since it uses less digits than its factorization.

241253234013141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76671 (or 76668 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 241253234013141 its reverse (141310432352142), we get a palindrome (382563666365283).

The spelling of 241253234013141 in words is "two hundred forty-one trillion, two hundred fifty-three billion, two hundred thirty-four million, thirteen thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 43 63 127 129 301 381 387 889 903 1143 2667 2709 5461 8001 10651 16383 31953 38227 49149 65837 74557 95859 114681 197511 223671 344043 457993 460859 592533 671013 1352677 1373979 1382577 2830991 3205951 4058031 4121937 4147731 8361299 8492973 9468739 9617853 12174093 19816937 25083897 25478919 28406217 28853559 58165111 58529093 59450811 75251691 85218651 174495333 175587279 178352433 359535857 407155777 523485999 526761837 701229887 1078607571 1221467331 2103689661 2516750999 3235822713 3664401993 4908609209 6311068983 7550252997 14725827627 22650758991 30152885141 44177482881 89056195649 90458655423 211070195987 267168586947 271375966269 623393369543 633210587961 801505760841 1870180108629 1899631763883 3829416412907 5610540325887 11488249238721 26805914890349 34464747716163 80417744671047 241253234013141