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4314033257 is a prime number
BaseRepresentation
bin1000000010010001…
…01110110001101001
3102010122121121002112
410001020232301221
532313343031012
61552024412105
7211622451302
oct40110566151
912118547075
104314033257
111914183046
12a04917035
135399c3b01
142ccd3b7a9
151a3b07122
hex10122ec69

4314033257 has 2 divisors, whose sum is σ = 4314033258. Its totient is φ = 4314033256.

The previous prime is 4314033197. The next prime is 4314033263. The reversal of 4314033257 is 7523304134.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4021589056 + 292444201 = 63416^2 + 17101^2 .

It is a cyclic number.

It is not a de Polignac number, because 4314033257 - 28 = 4314033001 is a prime.

It is a super-2 number, since 2×43140332572 = 37221765885004056098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4314033457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2157016628 + 2157016629.

It is an arithmetic number, because the mean of its divisors is an integer number (2157016629).

Almost surely, 24314033257 is an apocalyptic number.

It is an amenable number.

4314033257 is a deficient number, since it is larger than the sum of its proper divisors (1).

4314033257 is an equidigital number, since it uses as much as digits as its factorization.

4314033257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 32.

The square root of 4314033257 is about 65681.3006646488. The cubic root of 4314033257 is about 1627.9003989044.

The spelling of 4314033257 in words is "four billion, three hundred fourteen million, thirty-three thousand, two hundred fifty-seven".