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4334414344229 is a prime number
BaseRepresentation
bin111111000100101111001…
…110100011000000100101
3120100100212210021112221002
4333010233032203000211
51032003340033003404
613115111422003045
7625102554014534
oct77045716430045
916310783245832
104334414344229
11142123a999072
125a0056716485
1325596c705428
1410db02c9a31b
1577b34ab1c1e
hex3f12f3a3025

4334414344229 has 2 divisors, whose sum is σ = 4334414344230. Its totient is φ = 4334414344228.

The previous prime is 4334414344223. The next prime is 4334414344283. The reversal of 4334414344229 is 9224434144334.

4334414344229 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4330436140900 + 3978203329 = 2080970^2 + 63073^2 .

It is a cyclic number.

It is not a de Polignac number, because 4334414344229 - 212 = 4334414340133 is a prime.

It is a super-2 number, since 2×43344143442292 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4334414344223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2167207172114 + 2167207172115.

It is an arithmetic number, because the mean of its divisors is an integer number (2167207172115).

Almost surely, 24334414344229 is an apocalyptic number.

It is an amenable number.

4334414344229 is a deficient number, since it is larger than the sum of its proper divisors (1).

4334414344229 is an equidigital number, since it uses as much as digits as its factorization.

4334414344229 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3981312, while the sum is 47.

The spelling of 4334414344229 in words is "four trillion, three hundred thirty-four billion, four hundred fourteen million, three hundred forty-four thousand, two hundred twenty-nine".