Search a number
-
+
4023003000441 = 341211155011097
BaseRepresentation
bin111010100010101101101…
…010100010111001111001
3112020121001222220012100110
4322202231222202321321
51011403102232003231
612320050404054533
7563436523200255
oct72425552427171
915217058805313
104023003000441
111311167350337
1254b827694449
132324a16984b9
14dca003ad265
156e9aa6ae046
hex3a8adaa2e79

4023003000441 has 16 divisors (see below), whose sum is σ = 5520875266368. Its totient is φ = 2604186412800.

The previous prime is 4023003000391. The next prime is 4023003000469. The reversal of 4023003000441 is 1440003003204.

4023003000441 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4023003000441 - 225 = 4022969446009 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4023003000641) 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 15 ways as a sum of consecutive naturals, for example, 77479596 + ... + 77531501.

It is an arithmetic number, because the mean of its divisors is an integer number (345054704148).

Almost surely, 24023003000441 is an apocalyptic number.

4023003000441 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4023003000441 is a deficient number, since it is larger than the sum of its proper divisors (1497872265927).

4023003000441 is a wasteful number, since it uses less digits than its factorization.

4023003000441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155011352.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 4023003000441 its reverse (1440003003204), we get a palindrome (5463006003645).

The spelling of 4023003000441 in words is "four trillion, twenty-three billion, three million, four hundred forty-one", and thus it is an aban number.

Divisors: 1 3 41 123 211 633 8651 25953 155011097 465033291 6355454977 19066364931 32707341467 98122024401 1341001000147 4023003000441