Search a number
-
+
323105541441 = 32292074722669
BaseRepresentation
bin1001011001110101001…
…01110100110101000001
31010212222210002010222020
410230322211310311001
520243210004311231
6404233241032053
732225566534044
oct4547245646501
91125883063866
10323105541441
111150347225a1
1252753485629
1324612a21917
14118d1a64c5b
158610dba396
hex4b3a974d41

323105541441 has 16 divisors (see below), whose sum is σ = 432728587200. Its totient is φ = 214443269568.

The previous prime is 323105541419. The next prime is 323105541449. The reversal of 323105541441 is 144145501323.

It is not a de Polignac number, because 323105541441 - 26 = 323105541377 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (323105541449) 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 15 ways as a sum of consecutive naturals, for example, 14241855 + ... + 14264523.

It is an arithmetic number, because the mean of its divisors is an integer number (27045536700).

Almost surely, 2323105541441 is an apocalyptic number.

It is an amenable number.

323105541441 is a deficient number, since it is larger than the sum of its proper divisors (109623045759).

323105541441 is a wasteful number, since it uses less digits than its factorization.

323105541441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43648.

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 323105541441 in words is "three hundred twenty-three billion, one hundred five million, five hundred forty-one thousand, four hundred forty-one".

Divisors: 1 3 229 687 20747 22669 62241 68007 4751063 5191201 14253189 15573603 470313743 1410941229 107701847147 323105541441