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414114231 = 3178377419
BaseRepresentation
bin11000101011101…
…110000110110111
31001212020011221010
4120223232012313
51322003123411
6105031523303
713155625056
oct3053560667
91055204833
10414114231
111a2836173
12b6829533
1367a43a0b
143cdda39d
15265507a6
hex18aee1b7

414114231 has 8 divisors (see below), whose sum is σ = 552469120. Its totient is φ = 275917752.

The previous prime is 414114193. The next prime is 414114301. The reversal of 414114231 is 132411414.

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

It is not a de Polignac number, because 414114231 - 215 = 414081463 is a prime.

It is a super-2 number, since 2×4141142312 = 342981192633442722, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414114198 and 414114207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414114331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33361 + ... + 44058.

It is an arithmetic number, because the mean of its divisors is an integer number (69058640).

Almost surely, 2414114231 is an apocalyptic number.

414114231 is a deficient number, since it is larger than the sum of its proper divisors (138354889).

414114231 is a wasteful number, since it uses less digits than its factorization.

414114231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79205.

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

The square root of 414114231 is about 20349.7968294526. The cubic root of 414114231 is about 745.3725332329.

Adding to 414114231 its reverse (132411414), we get a palindrome (546525645).

The spelling of 414114231 in words is "four hundred fourteen million, one hundred fourteen thousand, two hundred thirty-one".

Divisors: 1 3 1783 5349 77419 232257 138038077 414114231