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414106041 = 31031340149
BaseRepresentation
bin11000101011101…
…100000110111001
31001212012202200210
4120223230012321
51322002343131
6105031421333
713155562146
oct3053540671
91055182623
10414106041
111a282aaa8
12b6824849
1367a4007b
143cdd73cd
152654d146
hex18aec1b9

414106041 has 8 divisors (see below), whose sum is σ = 557502400. Its totient is φ = 273390192.

The previous prime is 414106037. The next prime is 414106061. The reversal of 414106041 is 140601414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 414106041 - 22 = 414106037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414105999 and 414106017.

It is not an unprimeable number, because it can be changed into a prime (414106061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 669766 + ... + 670383.

It is an arithmetic number, because the mean of its divisors is an integer number (69687800).

Almost surely, 2414106041 is an apocalyptic number.

It is an amenable number.

414106041 is a deficient number, since it is larger than the sum of its proper divisors (143396359).

414106041 is a wasteful number, since it uses less digits than its factorization.

414106041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340255.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 414106041 is about 20349.5955979474. The cubic root of 414106041 is about 745.3676194186.

Adding to 414106041 its reverse (140601414), we get a palindrome (554707455).

The spelling of 414106041 in words is "four hundred fourteen million, one hundred six thousand, forty-one".

Divisors: 1 3 103 309 1340149 4020447 138035347 414106041