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344141143409 = 727757905413
BaseRepresentation
bin1010000001000000110…
…10010001110101110001
31012220021210021110001102
411000200122101311301
521114300113042114
6422032443014145
733602065311500
oct5004032216561
91186253243042
10344141143409
11122a49781708
125684420a355
13265b5b2048b
14129296c4837
158e429eb2de
hex5020691d71

344141143409 has 12 divisors (see below), whose sum is σ = 400379503284. Its totient is φ = 294939769824.

The previous prime is 344141143397. The next prime is 344141143427. The reversal of 344141143409 is 904341141443.

It can be written as a sum of positive squares in 2 ways, for example, as 252712317025 + 91428826384 = 502705^2 + 302372^2 .

It is not a de Polignac number, because 344141143409 - 28 = 344141143153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344141146409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72614 + ... + 832799.

It is an arithmetic number, because the mean of its divisors is an integer number (33364958607).

Almost surely, 2344141143409 is an apocalyptic number.

It is an amenable number.

344141143409 is a deficient number, since it is larger than the sum of its proper divisors (56238359875).

344141143409 is an equidigital number, since it uses as much as digits as its factorization.

344141143409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913184 (or 913177 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 344141143409 in words is "three hundred forty-four billion, one hundred forty-one million, one hundred forty-three thousand, four hundred nine".

Divisors: 1 7 49 7757 54299 380093 905413 6337891 44365237 7023288641 49163020487 344141143409