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414212414 = 27112689691
BaseRepresentation
bin11000101100000…
…110000100111110
31001212102011121112
4120230012010332
51322014244124
6105034002022
713156514240
oct3054060476
91055364545
10414212414
111a28a2a10
12b6876312
1367a79605
143d024090
152656e90e
hex18b0613e

414212414 has 16 divisors (see below), whose sum is σ = 774631296. Its totient is φ = 161381400.

The previous prime is 414212399. The next prime is 414212417.

414212414 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 414212414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414212417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1344692 + ... + 1344999.

It is an arithmetic number, because the mean of its divisors is an integer number (48414456).

Almost surely, 2414212414 is an apocalyptic number.

414212414 is a deficient number, since it is larger than the sum of its proper divisors (360418882).

414212414 is a wasteful number, since it uses less digits than its factorization.

414212414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689711.

The product of its digits is 1024, while the sum is 23.

The square root of 414212414 is about 20352.2090692878. The cubic root of 414212414 is about 745.4314357635.

The spelling of 414212414 in words is "four hundred fourteen million, two hundred twelve thousand, four hundred fourteen".

Divisors: 1 2 7 11 14 22 77 154 2689691 5379382 18827837 29586601 37655674 59173202 207106207 414212414