Search a number
-
+
241426432030365 = 32538531879374093
BaseRepresentation
bin110110111001001101111000…
…101110000111011010011101
31011122211010211011002010112100
4312321031320232013122131
5223121012313044432430
62213245434410355313
7101565325022521401
oct6671157056073235
91148733734063470
10241426432030365
116aa204139a82aa
12230b208772bb39
13a49355157b65a
14438915cd41101
151cda0c76ad960
hexdb9378b8769d

241426432030365 has 48 divisors (see below), whose sum is σ = 418609014653232. Its totient is φ = 128718758403072.

The previous prime is 241426432030361. The next prime is 241426432030369. The reversal of 241426432030365 is 563030234624142.

241426432030365 is a `hidden beast` number, since 2 + 4 + 1 + 4 + 264 + 3 + 20 + 3 + 0 + 365 = 666.

It is an interprime number because it is at equal distance from previous prime (241426432030361) and next prime (241426432030369).

It can be written as a sum of positive squares in 8 ways, for example, as 4935981993849 + 236490450036516 = 2221707^2 + 15378246^2 .

It is not a de Polignac number, because 241426432030365 - 22 = 241426432030361 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 241426432030365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241426432030361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3258387259 + ... + 3258461351.

It is an arithmetic number, because the mean of its divisors is an integer number (8721021138609).

Almost surely, 2241426432030365 is an apocalyptic number.

It is an amenable number.

241426432030365 is a deficient number, since it is larger than the sum of its proper divisors (177182582622867).

241426432030365 is a wasteful number, since it uses less digits than its factorization.

241426432030365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96750 (or 96747 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 241426432030365 in words is "two hundred forty-one trillion, four hundred twenty-six billion, four hundred thirty-two million, thirty thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 45 3853 11559 18793 19265 34677 56379 57795 74093 93965 169137 173385 222279 281895 370465 666837 845685 1111395 3334185 72409429 217228287 285480329 362047145 651684861 856440987 1086141435 1392429749 1427401645 2569322961 3258424305 4177289247 4282204935 6962148745 12531867741 12846614805 20886446235 62659338705 5365031822897 16095095468691 26825159114485 48285286406073 80475477343455 241426432030365