Search a number
-
+
34411520053 is a prime number
BaseRepresentation
bin100000000011000101…
…100010000000110101
310021211012100100012201
4200003011202000311
51030433322120203
623450342144501
72325515044231
oct400305420065
9107735310181
1034411520053
1113659451379
126804422131
13332532c7b1
1419462c15c1
15d6608ae1d
hex803162035

34411520053 has 2 divisors, whose sum is σ = 34411520054. Its totient is φ = 34411520052.

The previous prime is 34411519979. The next prime is 34411520111. The reversal of 34411520053 is 35002511443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31733147044 + 2678373009 = 178138^2 + 51753^2 .

It is a cyclic number.

It is not a de Polignac number, because 34411520053 - 213 = 34411511861 is a prime.

It is a super-2 number, since 2×344115200532 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34411520453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17205760026 + 17205760027.

It is an arithmetic number, because the mean of its divisors is an integer number (17205760027).

Almost surely, 234411520053 is an apocalyptic number.

It is an amenable number.

34411520053 is a deficient number, since it is larger than the sum of its proper divisors (1).

34411520053 is an equidigital number, since it uses as much as digits as its factorization.

34411520053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 34411520053 in words is "thirty-four billion, four hundred eleven million, five hundred twenty thousand, fifty-three".