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34513143409 is a prime number
BaseRepresentation
bin100000001001001001…
…001100011001110001
310022002021120100020201
4200021021030121301
51031140331042114
623504412235201
72331160610233
oct401111143161
9108067510221
1034513143409
1113700851518
12683246bb01
1333403c1164
1419559b6253
15d6ee61874
hex80924c671

34513143409 has 2 divisors, whose sum is σ = 34513143410. Its totient is φ = 34513143408.

The previous prime is 34513143367. The next prime is 34513143461. The reversal of 34513143409 is 90434131543.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34402830400 + 110313009 = 185480^2 + 10503^2 .

It is a cyclic number.

It is not a de Polignac number, because 34513143409 - 29 = 34513142897 is a prime.

It is a super-3 number, since 3×345131434093 (a number of 33 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (34513143209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17256571704 + 17256571705.

It is an arithmetic number, because the mean of its divisors is an integer number (17256571705).

Almost surely, 234513143409 is an apocalyptic number.

It is an amenable number.

34513143409 is a deficient number, since it is larger than the sum of its proper divisors (1).

34513143409 is an equidigital number, since it uses as much as digits as its factorization.

34513143409 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 34513143409 in words is "thirty-four billion, five hundred thirteen million, one hundred forty-three thousand, four hundred nine".