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34251733141 is a prime number
BaseRepresentation
bin11111111001100011…
…111111100010010101
310021102001200022202221
4133321203333202111
51030121420430031
623422433302341
72321534633203
oct377143774225
9107361608687
1034251733141
111358723507a
12677aa049b1
1332cb1b5022
14192cdaa073
15d57026a11
hex7f98ff895

34251733141 has 2 divisors, whose sum is σ = 34251733142. Its totient is φ = 34251733140.

The previous prime is 34251733133. The next prime is 34251733157. The reversal of 34251733141 is 14133715243.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31950132516 + 2301600625 = 178746^2 + 47975^2 .

It is a cyclic number.

It is not a de Polignac number, because 34251733141 - 23 = 34251733133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34251733097 and 34251733106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34251733541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17125866570 + 17125866571.

It is an arithmetic number, because the mean of its divisors is an integer number (17125866571).

Almost surely, 234251733141 is an apocalyptic number.

It is an amenable number.

34251733141 is a deficient number, since it is larger than the sum of its proper divisors (1).

34251733141 is an equidigital number, since it uses as much as digits as its factorization.

34251733141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30240, while the sum is 34.

The spelling of 34251733141 in words is "thirty-four billion, two hundred fifty-one million, seven hundred thirty-three thousand, one hundred forty-one".