Search a number
-
+
4277951142557 is a prime number
BaseRepresentation
bin111110010000001001110…
…000100001101010011101
3120010222010202210201101112
4332100021300201222131
51030042220443030212
613033132535351405
7621033421511321
oct76201160415235
916128122721345
104277951142557
1113aa2a5991a34
12591119222565
1325054192a021
1410b0a8023981
157642cad9422
hex3e409c21a9d

4277951142557 has 2 divisors, whose sum is σ = 4277951142558. Its totient is φ = 4277951142556.

The previous prime is 4277951142463. The next prime is 4277951142583. The reversal of 4277951142557 is 7552411597724.

4277951142557 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., 4139165836036 + 138785306521 = 2034494^2 + 372539^2 .

It is a cyclic number.

It is not a de Polignac number, because 4277951142557 - 220 = 4277950093981 is a prime.

It is a super-3 number, since 3×42779511425573 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4277951142496 and 4277951142505.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4277951141557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2138975571278 + 2138975571279.

It is an arithmetic number, because the mean of its divisors is an integer number (2138975571279).

Almost surely, 24277951142557 is an apocalyptic number.

It is an amenable number.

4277951142557 is a deficient number, since it is larger than the sum of its proper divisors (1).

4277951142557 is an equidigital number, since it uses as much as digits as its factorization.

4277951142557 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24696000, while the sum is 59.

The spelling of 4277951142557 in words is "four trillion, two hundred seventy-seven billion, nine hundred fifty-one million, one hundred forty-two thousand, five hundred fifty-seven".