Search a number
-
+
241366846681 = 472104532
BaseRepresentation
bin1110000011001010010…
…1011100110011011001
3212002000021022020011001
43200302211130303121
512423304403043211
6302514333105001
723303203226362
oct3406245346331
9762007266131
10241366846681
11933aa3243a4
123a941328161
13199b7612b4c
14b97a010b69
156429e52ac1
hex383295ccd9

241366846681 has 9 divisors (see below), whose sum is σ = 246635171391. Its totient is φ = 236208782472.

The previous prime is 241366846667. The next prime is 241366846781. The reversal of 241366846681 is 186648663142.

It is a happy number.

The square root of 241366846681 is 491291.

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

241366846681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 236862289225 + 4504557456 = 486685^2 + 67116^2 .

It is not a de Polignac number, because 241366846681 - 221 = 241364749529 is a prime.

It is a super-2 number, since 2×2413668466812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (241366846781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23085451 + ... + 23095903.

Almost surely, 2241366846681 is an apocalyptic number.

241366846681 is the 491291-st square number.

241366846681 is the 245646-th centered octagonal number.

It is an amenable number.

241366846681 is a deficient number, since it is larger than the sum of its proper divisors (5268324710).

241366846681 is an frugal number, since it uses more digits than its factorization.

241366846681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21000 (or 10500 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 55.

The spelling of 241366846681 in words is "two hundred forty-one billion, three hundred sixty-six million, eight hundred forty-six thousand, six hundred eighty-one".

Divisors: 1 47 2209 10453 491291 23090677 109265209 5135464823 241366846681