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334033421417 is a prime number
BaseRepresentation
bin1001101110001011111…
…00011000010001101001
31011221012100210222010122
410313011330120101221
520433100023441132
6413241451253025
733063442143323
oct4670574302151
91157170728118
10334033421417
11119732181563
12548a314a175
1325664a177a7
141224b120613
158a50460912
hex4dc5f18469

334033421417 has 2 divisors, whose sum is σ = 334033421418. Its totient is φ = 334033421416.

The previous prime is 334033421411. The next prime is 334033421419. The reversal of 334033421417 is 714124330433.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 261265121881 + 72768299536 = 511141^2 + 269756^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-334033421417 is a prime.

It is a super-2 number, since 2×3340334214172 (a number of 24 digits) contains 22 as substring.

Together with 334033421419, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (334033421411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 167016710708 + 167016710709.

It is an arithmetic number, because the mean of its divisors is an integer number (167016710709).

Almost surely, 2334033421417 is an apocalyptic number.

It is an amenable number.

334033421417 is a deficient number, since it is larger than the sum of its proper divisors (1).

334033421417 is an equidigital number, since it uses as much as digits as its factorization.

334033421417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 35.

The spelling of 334033421417 in words is "three hundred thirty-four billion, thirty-three million, four hundred twenty-one thousand, four hundred seventeen".