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242182916841 = 3538947935729
BaseRepresentation
bin1110000110001100111…
…0100000101011101001
3212011010010212212221210
43201203032200223221
512431442311314331
6303131324223333
723332342553565
oct3414316405351
9764103785853
10242182916841
1193788a40a48
123ab2a69ab49
1319ab77014b8
14ba165606a5
156476901446
hex38633a0ae9

242182916841 has 32 divisors (see below), whose sum is σ = 333403776000. Its totient is φ = 156297709568.

The previous prime is 242182916821. The next prime is 242182916849. The reversal of 242182916841 is 148619281242.

It is a cyclic number.

It is not a de Polignac number, because 242182916841 - 230 = 241109175017 is a prime.

It is a super-2 number, since 2×2421829168412 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242182916849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6760465 + ... + 6796193.

It is an arithmetic number, because the mean of its divisors is an integer number (10418868000).

Almost surely, 2242182916841 is an apocalyptic number.

It is an amenable number.

242182916841 is a deficient number, since it is larger than the sum of its proper divisors (91220859159).

242182916841 is a wasteful number, since it uses less digits than its factorization.

242182916841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36353.

The product of its digits is 442368, while the sum is 48.

The spelling of 242182916841 in words is "two hundred forty-two billion, one hundred eighty-two million, nine hundred sixteen thousand, eight hundred forty-one".

Divisors: 1 3 53 89 159 267 479 1437 4717 14151 25387 35729 42631 76161 107187 127893 1893637 2259443 3179881 5680911 6778329 9539643 17114191 51342573 168533693 505601079 907052123 1523162999 2721156369 4569488997 80727638947 242182916841