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42333414257 is a prime number
BaseRepresentation
bin100111011011010001…
…001010001101110001
311001021021210021002202
4213123101022031301
51143144323224012
631240411552545
73026030040551
oct473321121561
9131237707082
1042333414257
1116a54121782
12825545b755
133cb8626764
142098457161
15117b7a8cc2
hex9db44a371

42333414257 has 2 divisors, whose sum is σ = 42333414258. Its totient is φ = 42333414256.

The previous prime is 42333414199. The next prime is 42333414283. The reversal of 42333414257 is 75241433324.

42333414257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41785901056 + 547513201 = 204416^2 + 23399^2 .

It is a cyclic number.

It is not a de Polignac number, because 42333414257 - 232 = 38038446961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42333414257.

It is not a weakly prime, because it can be changed into another prime (42333414157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21166707128 + 21166707129.

It is an arithmetic number, because the mean of its divisors is an integer number (21166707129).

Almost surely, 242333414257 is an apocalyptic number.

It is an amenable number.

42333414257 is a deficient number, since it is larger than the sum of its proper divisors (1).

42333414257 is an equidigital number, since it uses as much as digits as its factorization.

42333414257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 241920, while the sum is 38.

The spelling of 42333414257 in words is "forty-two billion, three hundred thirty-three million, four hundred fourteen thousand, two hundred fifty-seven".