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34124140381 is a prime number
BaseRepresentation
bin11111110001111101…
…010000111101011101
310021002011120221102011
4133301331100331131
51024341234443011
623402034431221
72315425256512
oct376175207535
9107064527364
1034124140381
1113521207811
126744132511
1332aa930156
14191a075309
15d4ac21621
hex7f1f50f5d

34124140381 has 2 divisors, whose sum is σ = 34124140382. Its totient is φ = 34124140380.

The previous prime is 34124140319. The next prime is 34124140451. The reversal of 34124140381 is 18304142143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17618314756 + 16505825625 = 132734^2 + 128475^2 .

It is a cyclic number.

It is not a de Polignac number, because 34124140381 - 227 = 33989922653 is a prime.

It is a super-2 number, since 2×341241403812 (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 (34124140301) 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, 17062070190 + 17062070191.

It is an arithmetic number, because the mean of its divisors is an integer number (17062070191).

Almost surely, 234124140381 is an apocalyptic number.

It is an amenable number.

34124140381 is a deficient number, since it is larger than the sum of its proper divisors (1).

34124140381 is an equidigital number, since it uses as much as digits as its factorization.

34124140381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 34124140381 in words is "thirty-four billion, one hundred twenty-four million, one hundred forty thousand, three hundred eighty-one".