Search a number
-
+
23411362883841 = 32532304312
BaseRepresentation
bin1010101001010111000011…
…11101111110100100000001
310001220002211010120110101100
411110223201331332210001
511032032432344240331
6121443010455525013
74634262253060152
oct524534175764401
9101802733513340
1023411362883841
1175067810189a9
122761342089769
13100a8b35c3b7a
145ad18a489929
152a8eb3843ae6
hex154ae1f7e901

23411362883841 has 27 divisors (see below), whose sum is σ = 34467629827267. Its totient is φ = 15312589496880.

The previous prime is 23411362883833. The next prime is 23411362883851. The reversal of 23411362883841 is 14838826311432.

The square root of 23411362883841 is 4838529.

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

23411362883841 is a `hidden beast` number, since 2 + 3 + 4 + 1 + 1 + 3 + 628 + 8 + 3 + 8 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16877183994225 + 6534178889616 = 4108185^2 + 2556204^2 .

It is not a de Polignac number, because 23411362883841 - 23 = 23411362883833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23411362883801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 769310896 + ... + 769341326.

Almost surely, 223411362883841 is an apocalyptic number.

23411362883841 is the 4838529-th square number.

23411362883841 is the 2419265-th centered octagonal number.

It is an amenable number.

23411362883841 is a deficient number, since it is larger than the sum of its proper divisors (11056266943426).

23411362883841 is an frugal number, since it uses more digits than its factorization.

23411362883841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60974 (or 30487 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 23411362883841 in words is "twenty-three trillion, four hundred eleven billion, three hundred sixty-two million, eight hundred eighty-three thousand, eight hundred forty-one".

Divisors: 1 3 9 53 159 477 2809 8427 25281 30431 91293 273879 1612843 4838529 14515587 85480679 256442037 769326111 926045761 2778137283 8334411849 49080425333 147241275999 441723827997 2601262542649 7803787627947 23411362883841