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430639125361 = 107261332
BaseRepresentation
bin1100100010001000001…
…01111001001101110001
31112011112222111012112121
412101010011321031301
524023422104002421
6525455522554241
743053432112054
oct6210405711561
91464488435477
10430639125361
111566a6617805
126b564208981
13317bc24a713
1416bb345aa9b
15b3066bcd41
hex6444179371

430639125361 has 9 divisors (see below), whose sum is σ = 434772294411. Its totient is φ = 426544900152.

The previous prime is 430639125311. The next prime is 430639125379. The reversal of 430639125361 is 163521936034.

The square root of 430639125361 is 656231.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 416986605025 + 13652520336 = 645745^2 + 116844^2 .

It is not a de Polignac number, because 430639125361 - 227 = 430504907633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (430639125311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 70213651 + ... + 70219783.

Almost surely, 2430639125361 is an apocalyptic number.

430639125361 is the 656231-st square number.

430639125361 is the 328116-th centered octagonal number.

It is an amenable number.

430639125361 is a deficient number, since it is larger than the sum of its proper divisors (4133169050).

430639125361 is an frugal number, since it uses more digits than its factorization.

430639125361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12480 (or 6240 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 43.

The spelling of 430639125361 in words is "four hundred thirty billion, six hundred thirty-nine million, one hundred twenty-five thousand, three hundred sixty-one".

Divisors: 1 107 6133 11449 656231 37613689 70216717 4024664723 430639125361