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4144129 = 112291181
BaseRepresentation
bin1111110011110000000001
321210112200021
433303300001
52030103004
6224453441
750140003
oct17636001
97715607
104144129
112380600
12147a281
13b21362
1479c373
1556cd54
hex3f3c01

4144129 has 12 divisors (see below), whose sum is σ = 4716180. Its totient is φ = 3634400.

The previous prime is 4144121. The next prime is 4144159. The reversal of 4144129 is 9214414.

4144129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3097600 + 1046529 = 1760^2 + 1023^2 .

It is not a de Polignac number, because 4144129 - 23 = 4144121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4144121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2919 + ... + 4099.

It is an arithmetic number, because the mean of its divisors is an integer number (393015).

Almost surely, 24144129 is an apocalyptic number.

It is an amenable number.

4144129 is a deficient number, since it is larger than the sum of its proper divisors (572051).

4144129 is a wasteful number, since it uses less digits than its factorization.

4144129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1221 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 4144129 is about 2035.7133884710. The cubic root of 4144129 is about 160.6242410397.

The spelling of 4144129 in words is "four million, one hundred forty-four thousand, one hundred twenty-nine".

Divisors: 1 11 29 121 319 1181 3509 12991 34249 142901 376739 4144129