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4314421044217 is a prime number
BaseRepresentation
bin111110110010000111100…
…010001010001111111001
3120021110021102100200100001
4332302013202022033321
51031141413241403332
613102003452113001
7623464242534244
oct76620742121771
916243242320301
104314421044217
111413810225929
125981b6a65761
13253b045352ab
1410cb6783a25b
157736471b0e7
hex3ec8788a3f9

4314421044217 has 2 divisors, whose sum is σ = 4314421044218. Its totient is φ = 4314421044216.

The previous prime is 4314421044187. The next prime is 4314421044233. The reversal of 4314421044217 is 7124401244134.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2969897308921 + 1344523735296 = 1723339^2 + 1159536^2 .

It is a cyclic number.

It is not a de Polignac number, because 4314421044217 - 239 = 3764665230329 is a prime.

It is a super-2 number, since 2×43144210442172 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4314421044317) 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 as a sum of consecutive naturals, namely, 2157210522108 + 2157210522109.

It is an arithmetic number, because the mean of its divisors is an integer number (2157210522109).

Almost surely, 24314421044217 is an apocalyptic number.

It is an amenable number.

4314421044217 is a deficient number, since it is larger than the sum of its proper divisors (1).

4314421044217 is an equidigital number, since it uses as much as digits as its factorization.

4314421044217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86016, while the sum is 37.

The spelling of 4314421044217 in words is "four trillion, three hundred fourteen billion, four hundred twenty-one million, forty-four thousand, two hundred seventeen".