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4144130133 = 3111323419999
BaseRepresentation
bin1111011100000010…
…0110100001010101
3101200210220121211020
43313000212201111
531441344131013
61523115031353
7204460345023
oct36700464125
911623817736
104144130133
111837287340
12977a3b559
13510746910
142b4551713
15193c45623
hexf7026855

4144130133 has 32 divisors (see below), whose sum is σ = 6773760000. Its totient is φ = 2217589440.

The previous prime is 4144130083. The next prime is 4144130143. The reversal of 4144130133 is 3310314414.

4144130133 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 4144130133 - 28 = 4144129877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144130143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200133 + ... + 219866.

It is an arithmetic number, because the mean of its divisors is an integer number (211680000).

Almost surely, 24144130133 is an apocalyptic number.

It is an amenable number.

4144130133 is a deficient number, since it is larger than the sum of its proper divisors (2629629867).

4144130133 is a wasteful number, since it uses less digits than its factorization.

4144130133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420049.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 4144130133 is about 64374.9185086863. The cubic root of 4144130133 is about 1606.2425567784.

Adding to 4144130133 its reverse (3310314414), we get a palindrome (7454444547).

The spelling of 4144130133 in words is "four billion, one hundred forty-four million, one hundred thirty thousand, one hundred thirty-three".

Divisors: 1 3 11 13 23 33 39 69 143 253 299 429 759 897 3289 9867 419999 1259997 4619989 5459987 9659977 13859967 16379961 28979931 60059857 106259747 125579701 180179571 318779241 376739103 1381376711 4144130133