Search a number
-
+
4132040041 is a prime number
BaseRepresentation
bin1111011001001001…
…1110110101101001
3101122222011101100001
43312102132311221
531430300240131
61522003543001
7204252521653
oct36622366551
911588141301
104132040041
111830479928
1297398aa61
1350b0a290c
142b2ac56d3
15192b58261
hexf649ed69

4132040041 has 2 divisors, whose sum is σ = 4132040042. Its totient is φ = 4132040040.

The previous prime is 4132040039. The next prime is 4132040063. The reversal of 4132040041 is 1400402314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2974611600 + 1157428441 = 54540^2 + 34021^2 .

It is a cyclic number.

It is not a de Polignac number, because 4132040041 - 21 = 4132040039 is a prime.

It is a super-3 number, since 3×41320400413 (a number of 30 digits) contains 333 as substring.

Together with 4132040039, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (4132040071) 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, 2066020020 + 2066020021.

It is an arithmetic number, because the mean of its divisors is an integer number (2066020021).

Almost surely, 24132040041 is an apocalyptic number.

It is an amenable number.

4132040041 is a deficient number, since it is larger than the sum of its proper divisors (1).

4132040041 is an equidigital number, since it uses as much as digits as its factorization.

4132040041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4132040041 is about 64280.9461738080. The cubic root of 4132040041 is about 1604.6790170830.

Adding to 4132040041 its reverse (1400402314), we get a palindrome (5532442355).

The spelling of 4132040041 in words is "four billion, one hundred thirty-two million, forty thousand, forty-one".