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4144155877 is a prime number
BaseRepresentation
bin1111011100000010…
…1100110011100101
3101200210221221010201
43313000230303211
531441400442002
61523115350501
7204460513051
oct36700546345
911623857121
104144155877
1118372a4714
12977a52431
13510755554
142b455ac61
15193c4d087
hexf702cce5

4144155877 has 2 divisors, whose sum is σ = 4144155878. Its totient is φ = 4144155876.

The previous prime is 4144155859. The next prime is 4144155889. The reversal of 4144155877 is 7785514414.

It is a happy number.

4144155877 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3114644481 + 1029511396 = 55809^2 + 32086^2 .

It is a cyclic number.

It is not a de Polignac number, because 4144155877 - 27 = 4144155749 is a prime.

It is a super-3 number, since 3×41441558773 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4144155817) 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 as a sum of consecutive naturals, namely, 2072077938 + 2072077939.

It is an arithmetic number, because the mean of its divisors is an integer number (2072077939).

Almost surely, 24144155877 is an apocalyptic number.

It is an amenable number.

4144155877 is a deficient number, since it is larger than the sum of its proper divisors (1).

4144155877 is an equidigital number, since it uses as much as digits as its factorization.

4144155877 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 627200, while the sum is 46.

The square root of 4144155877 is about 64375.1184620269. The cubic root of 4144155877 is about 1606.2458828502.

The spelling of 4144155877 in words is "four billion, one hundred forty-four million, one hundred fifty-five thousand, eight hundred seventy-seven".