Search a number
-
+
34035655405181 is a prime number
BaseRepresentation
bin1111011110100100010110…
…01001100110111001111101
311110111202222100022201020112
413233102023021212321331
513430120010240431211
6200215433024155405
710111665161344043
oct757221311467175
9143452870281215
1034035655405181
11a932493194331
123998408168b65
1315cb719185971
14859497c82393
153e052b12888b
hex1ef48b266e7d

34035655405181 has 2 divisors, whose sum is σ = 34035655405182. Its totient is φ = 34035655405180.

The previous prime is 34035655405123. The next prime is 34035655405187. The reversal of 34035655405181 is 18150455653043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34033619139556 + 2036265625 = 5833834^2 + 45125^2 .

It is a cyclic number.

It is not a de Polignac number, because 34035655405181 - 222 = 34035651210877 is a prime.

It is a super-2 number, since 2×340356554051812 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34035655405187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17017827702590 + 17017827702591.

It is an arithmetic number, because the mean of its divisors is an integer number (17017827702591).

Almost surely, 234035655405181 is an apocalyptic number.

It is an amenable number.

34035655405181 is a deficient number, since it is larger than the sum of its proper divisors (1).

34035655405181 is an equidigital number, since it uses as much as digits as its factorization.

34035655405181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320000, while the sum is 50.

The spelling of 34035655405181 in words is "thirty-four trillion, thirty-five billion, six hundred fifty-five million, four hundred five thousand, one hundred eighty-one".