Search a number
-
+
331412022441 = 32232237179481
BaseRepresentation
bin1001101001010011011…
…00100010010010101001
31011200102200012002202200
410310221230202102221
520412212434204231
6412125405450413
732641461465603
oct4645154422251
91150380162680
10331412022441
111186074a0725
1254291270a09
13253378c1736
141207cd0c173
15894a254be6
hex4d29b224a9

331412022441 has 24 divisors (see below), whose sum is σ = 501759638016. Its totient is φ = 210387481920.

The previous prime is 331412022427. The next prime is 331412022449. The reversal of 331412022441 is 144220214133.

331412022441 is a `hidden beast` number, since 3 + 3 + 1 + 412 + 0 + 2 + 244 + 1 = 666.

It is not a de Polignac number, because 331412022441 - 223 = 331403633833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (331412022449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3543580 + ... + 3635901.

It is an arithmetic number, because the mean of its divisors is an integer number (20906651584).

Almost surely, 2331412022441 is an apocalyptic number.

It is an amenable number.

331412022441 is a deficient number, since it is larger than the sum of its proper divisors (170347615575).

331412022441 is a wasteful number, since it uses less digits than its factorization.

331412022441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7179733 (or 7179730 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 331412022441 its reverse (144220214133), we get a palindrome (475632236574).

The spelling of 331412022441 in words is "three hundred thirty-one billion, four hundred twelve million, twenty-two thousand, four hundred forty-one".

Divisors: 1 3 9 23 69 207 223 669 2007 5129 15387 46161 7179481 21538443 64615329 165128063 495384189 1486152567 1601024263 4803072789 14409218367 36823558049 110470674147 331412022441