Search a number
-
+
34441356541 is a prime number
BaseRepresentation
bin100000000100110111…
…010110010011111101
310021220021111012011211
4200010313112103331
51031013441402131
623453325444421
72326326462124
oct400467262375
9107807435154
1034441356541
111367427aa29
126812410711
13332b578217
14194a24aabb
15d689d15b1
hex804dd64fd

34441356541 has 2 divisors, whose sum is σ = 34441356542. Its totient is φ = 34441356540.

The previous prime is 34441356511. The next prime is 34441356557. The reversal of 34441356541 is 14565314443.

34441356541 is digitally balanced in base 2, 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., 32173596900 + 2267759641 = 179370^2 + 47621^2 .

It is a cyclic number.

It is not a de Polignac number, because 34441356541 - 29 = 34441356029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34441356494 and 34441356503.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34441356511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17220678270 + 17220678271.

It is an arithmetic number, because the mean of its divisors is an integer number (17220678271).

Almost surely, 234441356541 is an apocalyptic number.

It is an amenable number.

34441356541 is a deficient number, since it is larger than the sum of its proper divisors (1).

34441356541 is an equidigital number, since it uses as much as digits as its factorization.

34441356541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 345600, while the sum is 40.

The spelling of 34441356541 in words is "thirty-four billion, four hundred forty-one million, three hundred fifty-six thousand, five hundred forty-one".