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414129901 is a prime number
BaseRepresentation
bin11000101011110…
…001111011101101
31001212020222102111
4120223301323231
51322004124101
6105032124021
713156021543
oct3053617355
91055228374
10414129901
111a2846a19
12b6836611
1367a4aba3
143d001d93
1526555251
hex18af1eed

414129901 has 2 divisors, whose sum is σ = 414129902. Its totient is φ = 414129900.

The previous prime is 414129893. The next prime is 414129917. The reversal of 414129901 is 109921414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 244453225 + 169676676 = 15635^2 + 13026^2 .

It is a cyclic number.

It is not a de Polignac number, because 414129901 - 23 = 414129893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414129931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207064950 + 207064951.

It is an arithmetic number, because the mean of its divisors is an integer number (207064951).

Almost surely, 2414129901 is an apocalyptic number.

It is an amenable number.

414129901 is a deficient number, since it is larger than the sum of its proper divisors (1).

414129901 is an equidigital number, since it uses as much as digits as its factorization.

414129901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 414129901 is about 20350.1818419394. The cubic root of 414129901 is about 745.3819346970.

The spelling of 414129901 in words is "four hundred fourteen million, one hundred twenty-nine thousand, nine hundred one".