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414231929 is a prime number
BaseRepresentation
bin11000101100001…
…010110101111001
31001212110011101022
4120230022311321
51322020410204
6105034232225
713156625156
oct3054126571
91055404338
10414231929
111a2906641
12b6885675
1367a85467
143d02b22d
15265755be
hex18b0ad79

414231929 has 2 divisors, whose sum is σ = 414231930. Its totient is φ = 414231928.

The previous prime is 414231913. The next prime is 414231931. The reversal of 414231929 is 929132414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 335732329 + 78499600 = 18323^2 + 8860^2 .

It is a cyclic number.

It is not a de Polignac number, because 414231929 - 24 = 414231913 is a prime.

It is a super-2 number, since 2×4142319292 = 343176182006122082, which contains 22 as substring.

Together with 414231931, 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 (414231959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207115964 + 207115965.

It is an arithmetic number, because the mean of its divisors is an integer number (207115965).

Almost surely, 2414231929 is an apocalyptic number.

It is an amenable number.

414231929 is a deficient number, since it is larger than the sum of its proper divisors (1).

414231929 is an equidigital number, since it uses as much as digits as its factorization.

414231929 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 35.

The square root of 414231929 is about 20352.6884956263. The cubic root of 414231929 is about 745.4431422097.

The spelling of 414231929 in words is "four hundred fourteen million, two hundred thirty-one thousand, nine hundred twenty-nine".