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214341431641 = 794875879491
BaseRepresentation
bin1100011110011110111…
…1101011000101011001
3202111020211012220020021
43013213233223011121
512002432401303031
6242244520430441
721325403052031
oct3074757530531
9674224186207
10214341431641
11829a1172047
123565a618421
131729b5a41bc
14a534a748c1
15589754c511
hex31e7beb159

214341431641 has 16 divisors (see below), whose sum is σ = 217893795840. Its totient is φ = 210811695120.

The previous prime is 214341431609. The next prime is 214341431683. The reversal of 214341431641 is 146134143412.

It is a cyclic number.

It is not a de Polignac number, because 214341431641 - 25 = 214341431609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 214341431597 and 214341431606.

It is not an unprimeable number, because it can be changed into a prime (214341431141) 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 in 15 ways as a sum of consecutive naturals, for example, 22578906 + ... + 22588396.

It is an arithmetic number, because the mean of its divisors is an integer number (13618362240).

Almost surely, 2214341431641 is an apocalyptic number.

It is an amenable number.

214341431641 is a deficient number, since it is larger than the sum of its proper divisors (3552364199).

214341431641 is an equidigital number, since it uses as much as digits as its factorization.

214341431641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10644.

The product of its digits is 27648, while the sum is 34.

The spelling of 214341431641 in words is "two hundred fourteen billion, three hundred forty-one million, four hundred thirty-one thousand, six hundred forty-one".

Divisors: 1 79 487 587 9491 38473 46373 285869 749789 4622117 5571217 22583651 365147243 440126143 2713182679 214341431641