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34856350141 is a prime number
BaseRepresentation
bin100000011101100110…
…011011000110111101
310022222012101001101011
4200131212123012331
51032341211201031
624002432315221
72342526042034
oct403546330675
9108865331334
1034856350141
1113867556848
1269093a2b11
133396539272
1419893d571b
15d901576b1
hex81d99b1bd

34856350141 has 2 divisors, whose sum is σ = 34856350142. Its totient is φ = 34856350140.

The previous prime is 34856350073. The next prime is 34856350229. The reversal of 34856350141 is 14105365843.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32308624516 + 2547725625 = 179746^2 + 50475^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34856350141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34856350094 and 34856350103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34856351141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17428175070 + 17428175071.

It is an arithmetic number, because the mean of its divisors is an integer number (17428175071).

Almost surely, 234856350141 is an apocalyptic number.

It is an amenable number.

34856350141 is a deficient number, since it is larger than the sum of its proper divisors (1).

34856350141 is an equidigital number, since it uses as much as digits as its factorization.

34856350141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 34856350141 in words is "thirty-four billion, eight hundred fifty-six million, three hundred fifty thousand, one hundred forty-one".