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4314122014329 = 3453260765609
BaseRepresentation
bin111110110001110101101…
…101011100111001111001
3120021102111120200101110000
4332301311231130321321
51031140310213424304
613101514050543213
7623453652035061
oct76616555347171
916242446611400
104314122014329
111413677454296
12598132897b09
13253a875b6c2a
1410cb39c3a3a1
157734834e939
hex3ec75b5ce79

4314122014329 has 10 divisors (see below), whose sum is σ = 6444552638810. Its totient is φ = 2876081342832.

The previous prime is 4314122014309. The next prime is 4314122014351. The reversal of 4314122014329 is 9234102214134.

4314122014329 is a `hidden beast` number, since 4 + 3 + 1 + 4 + 12 + 201 + 432 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4309975298304 + 4146716025 = 2076048^2 + 64395^2 .

It is not a de Polignac number, because 4314122014329 - 25 = 4314122014297 is a prime.

It is a super-2 number, since 2×43141220143292 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4314122014293 and 4314122014302.

It is not an unprimeable number, because it can be changed into a prime (4314122014309) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 26630382724 + ... + 26630382885.

It is an arithmetic number, because the mean of its divisors is an integer number (644455263881).

Almost surely, 24314122014329 is an apocalyptic number.

It is an amenable number.

4314122014329 is a deficient number, since it is larger than the sum of its proper divisors (2130430624481).

4314122014329 is an equidigital number, since it uses as much as digits as its factorization.

4314122014329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53260765621 (or 53260765612 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 4314122014329 in words is "four trillion, three hundred fourteen billion, one hundred twenty-two million, fourteen thousand, three hundred twenty-nine".

Divisors: 1 3 9 27 81 53260765609 159782296827 479346890481 1438040671443 4314122014329