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241253052311141 = 1356361409536771
BaseRepresentation
bin110110110110101100011010…
…011110111110011001100101
31011122012120022000112211012222
4312312230122132332121211
5223110142222342424031
62213034042221322125
7101546646352314413
oct6666543236763145
91148176260484188
10241253052311141
116a963932637052
122308455b106345
13a4800b037c910
1443809d249a2b3
151cd582b2b4e7b
hexdb6b1a7be665

241253052311141 has 16 divisors (see below), whose sum is σ = 260277178633920. Its totient is φ = 222295540247040.

The previous prime is 241253052311123. The next prime is 241253052311153. The reversal of 241253052311141 is 141113250352142.

It is not a de Polignac number, because 241253052311141 - 26 = 241253052311077 is a prime.

It is a super-3 number, since 3×2412530523111413 (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241253052311191) 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 15 ways as a sum of consecutive naturals, for example, 449184086 + ... + 449720856.

It is an arithmetic number, because the mean of its divisors is an integer number (16267323664620).

Almost surely, 2241253052311141 is an apocalyptic number.

It is an amenable number.

241253052311141 is a deficient number, since it is larger than the sum of its proper divisors (19024126322779).

241253052311141 is a wasteful number, since it uses less digits than its factorization.

241253052311141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598756.

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 241253052311141 in words is "two hundred forty-one trillion, two hundred fifty-three billion, fifty-two million, three hundred eleven thousand, one hundred forty-one".

Divisors: 1 13 563 7319 61409 536771 798317 6978023 34573267 302202073 449452471 3928626949 32962570339 428513414407 18557927100857 241253052311141