Search a number
-
+
34541435741 is a prime number
BaseRepresentation
bin100000001010110101…
…000111101101011101
310022011020210202000212
4200022311013231131
51031220101420431
623511302502205
72331653234201
oct401265075535
9108136722025
1034541435741
1113715815a0a
12683ba34965
133346218a97
14195965cb01
15d7269e72b
hex80ad47b5d

34541435741 has 2 divisors, whose sum is σ = 34541435742. Its totient is φ = 34541435740.

The previous prime is 34541435711. The next prime is 34541435807. The reversal of 34541435741 is 14753414543.

34541435741 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., 31057012900 + 3484422841 = 176230^2 + 59029^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34541435741 is a prime.

It is a super-3 number, since 3×345414357413 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34541435701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17270717870 + 17270717871.

It is an arithmetic number, because the mean of its divisors is an integer number (17270717871).

Almost surely, 234541435741 is an apocalyptic number.

It is an amenable number.

34541435741 is a deficient number, since it is larger than the sum of its proper divisors (1).

34541435741 is an equidigital number, since it uses as much as digits as its factorization.

34541435741 is an evil number, because the sum of its binary digits is even.

The product of its digits is 403200, while the sum is 41.

The spelling of 34541435741 in words is "thirty-four billion, five hundred forty-one million, four hundred thirty-five thousand, seven hundred forty-one".