Search a number
-
+
34950144133 is a prime number
BaseRepresentation
bin100000100011001100…
…001110000010000101
310100012201212021112201
4200203030032002011
51033034214103013
624020022514501
72345045215642
oct404314160205
9110181767481
1034950144133
1113905499643
126934895a31
1333acab9078
141997a4cdc9
15d984d33dd
hex82330e085

34950144133 has 2 divisors, whose sum is σ = 34950144134. Its totient is φ = 34950144132.

The previous prime is 34950144113. The next prime is 34950144137. The reversal of 34950144133 is 33144105943.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28202835969 + 6747308164 = 167937^2 + 82142^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34950144133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34950144092 and 34950144101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34950144137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17475072066 + 17475072067.

It is an arithmetic number, because the mean of its divisors is an integer number (17475072067).

Almost surely, 234950144133 is an apocalyptic number.

It is an amenable number.

34950144133 is a deficient number, since it is larger than the sum of its proper divisors (1).

34950144133 is an equidigital number, since it uses as much as digits as its factorization.

34950144133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 34950144133 in words is "thirty-four billion, nine hundred fifty million, one hundred forty-four thousand, one hundred thirty-three".