Search a number
-
+
16440624841 = 1282212
BaseRepresentation
bin11110100111111000…
…00000011011001001
31120102202221021110011
433103330000123021
5232132244443331
611315215351521
71121262001564
oct172374003311
946382837404
1016440624841
116a77338863
123229b225a1
13172014c8a4
14b1d6ad4db
156635313b1
hex3d3f006c9

16440624841 has 3 divisors (see below), whose sum is σ = 16440753063. Its totient is φ = 16440496620.

The previous prime is 16440624821. The next prime is 16440624913. The reversal of 16440624841 is 14842604461.

The square root of 16440624841 is 128221.

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

16440624841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 8024397241 + 8416227600 = 89579^2 + 91740^2 .

It is not a de Polignac number, because 16440624841 - 29 = 16440624329 is a prime.

It is a super-3 number, since 3×164406248413 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16440624794 and 16440624803.

It is not an unprimeable number, because it can be changed into a prime (16440624821) 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 2 ways as a sum of consecutive naturals, for example, 64111 + ... + 192331.

It is an arithmetic number, because the mean of its divisors is an integer number (5480251021).

Almost surely, 216440624841 is an apocalyptic number.

16440624841 is the 128221-st square number.

16440624841 is the 64111-st centered octagonal number.

It is an amenable number.

16440624841 is a deficient number, since it is larger than the sum of its proper divisors (128222).

16440624841 is an frugal number, since it uses more digits than its factorization.

16440624841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256442 (or 128221 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 16440624841 in words is "sixteen billion, four hundred forty million, six hundred twenty-four thousand, eight hundred forty-one".

Divisors: 1 128221 16440624841