Search a number
-
+
444001223133 = 32133794882249
BaseRepresentation
bin1100111011000001000…
…10010000000111011101
31120110001012122002202200
412131200202100013131
524233303303120013
6535545451042113
744035523061246
oct6354042200735
91513035562680
10444001223133
1116133312a616
1272073140339
1332b3b64cc50
14176bdd21ccd
15b8397e7e73
hex67608901dd

444001223133 has 12 divisors (see below), whose sum is σ = 690668569500. Its totient is φ = 273231521856.

The previous prime is 444001223059. The next prime is 444001223147. The reversal of 444001223133 is 331322100444.

444001223133 is a `hidden beast` number, since 4 + 4 + 400 + 1 + 223 + 1 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 226745487684 + 217255735449 = 476178^2 + 466107^2 .

It is not a de Polignac number, because 444001223133 - 28 = 444001222877 is a prime.

It is a super-2 number, since 2×4440012231332 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444001223097 and 444001223106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444001293133) 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 11 ways as a sum of consecutive naturals, for example, 1897441008 + ... + 1897441241.

It is an arithmetic number, because the mean of its divisors is an integer number (57555714125).

Almost surely, 2444001223133 is an apocalyptic number.

It is an amenable number.

444001223133 is a deficient number, since it is larger than the sum of its proper divisors (246667346367).

444001223133 is a wasteful number, since it uses less digits than its factorization.

444001223133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3794882268 (or 3794882265 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 444001223133 its reverse (331322100444), we get a palindrome (775323323577).

The spelling of 444001223133 in words is "four hundred forty-four billion, one million, two hundred twenty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 13 39 117 3794882249 11384646747 34153940241 49333469237 148000407711 444001223133