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241543743841 = 3743592
BaseRepresentation
bin1110000011110100100…
…0010000100101100001
3212002110121011112102201
43200331020100211201
512424140144300331
6302544052413201
723310451642501
oct3407510204541
9762417145381
10241543743841
11934901678a4
123a990617201
1319a1516b61a
14b9956dba01
15643a746a61
hex383d210961

241543743841 has 15 divisors (see below), whose sum is σ = 248946728261. Its totient is φ = 234360895176.

The previous prime is 241543743839. The next prime is 241543743853. The reversal of 241543743841 is 148347345142.

It is a happy number.

The square root of 241543743841 is 491471.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 150605310241 + 90938433600 = 388079^2 + 301560^2 .

It is not a de Polignac number, because 241543743841 - 21 = 241543743839 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 241543743791 and 241543743800.

It is not an unprimeable number, because it can be changed into a prime (241543743241) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 672823620 + ... + 672823978.

Almost surely, 2241543743841 is an apocalyptic number.

241543743841 is the 491471-st square number.

241543743841 is the 245736-th centered octagonal number.

It is an amenable number.

241543743841 is a deficient number, since it is larger than the sum of its proper divisors (7402984420).

241543743841 is an frugal number, since it uses more digits than its factorization.

241543743841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 396 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 46.

The spelling of 241543743841 in words is "two hundred forty-one billion, five hundred forty-three million, seven hundred forty-three thousand, eight hundred forty-one".

Divisors: 1 37 359 1369 13283 50653 128881 491471 1874161 4768597 18184427 176438089 672823799 6528209293 241543743841