Search a number
-
+
3126337441 is a prime number
BaseRepresentation
bin1011101001011000…
…0001111110100001
322001212202101201121
42322112001332201
522400320244231
61234120132241
7140321300263
oct27226017641
98055671647
103126337441
111364810657
12733007081
133aa919c16
142192d1b33
151346ec311
hexba581fa1

3126337441 has 2 divisors, whose sum is σ = 3126337442. Its totient is φ = 3126337440.

The previous prime is 3126337429. The next prime is 3126337477. The reversal of 3126337441 is 1447336213.

3126337441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2178929041 + 947408400 = 46679^2 + 30780^2 .

It is a cyclic number.

It is not a de Polignac number, because 3126337441 - 213 = 3126329249 is a prime.

It is a super-3 number, since 3×31263374413 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3126337397 and 3126337406.

It is not a weakly prime, because it can be changed into another prime (3126337421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1563168720 + 1563168721.

It is an arithmetic number, because the mean of its divisors is an integer number (1563168721).

Almost surely, 23126337441 is an apocalyptic number.

It is an amenable number.

3126337441 is a deficient number, since it is larger than the sum of its proper divisors (1).

3126337441 is an equidigital number, since it uses as much as digits as its factorization.

3126337441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36288, while the sum is 34.

The square root of 3126337441 is about 55913.6605938120. The cubic root of 3126337441 is about 1462.2174100898.

The spelling of 3126337441 in words is "three billion, one hundred twenty-six million, three hundred thirty-seven thousand, four hundred forty-one".