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414106037 is a prime number
BaseRepresentation
bin11000101011101…
…100000110110101
31001212012202200122
4120223230012311
51322002343122
6105031421325
713155562142
oct3053540665
91055182618
10414106037
111a282aaa4
12b6824845
1367a40077
143cdd73c9
152654d142
hex18aec1b5

414106037 has 2 divisors, whose sum is σ = 414106038. Its totient is φ = 414106036.

The previous prime is 414106019. The next prime is 414106061. The reversal of 414106037 is 730601414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 263283076 + 150822961 = 16226^2 + 12281^2 .

It is a cyclic number.

It is not a de Polignac number, because 414106037 - 26 = 414105973 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 414105997 and 414106015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414106067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207053018 + 207053019.

It is an arithmetic number, because the mean of its divisors is an integer number (207053019).

Almost surely, 2414106037 is an apocalyptic number.

It is an amenable number.

414106037 is a deficient number, since it is larger than the sum of its proper divisors (1).

414106037 is an equidigital number, since it uses as much as digits as its factorization.

414106037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 414106037 is about 20349.5954996653. The cubic root of 414106037 is about 745.3676170187.

The spelling of 414106037 in words is "four hundred fourteen million, one hundred six thousand, thirty-seven".