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414114430 = 25311335853
BaseRepresentation
bin11000101011101…
…110001001111110
31001212020012012111
4120223232021332
51322003130210
6105031524234
713155625462
oct3053561176
91055205174
10414114430
111a2836334
12b682967a
1367a43b32
143cdda4a2
152655088a
hex18aee27e

414114430 has 16 divisors (see below), whose sum is σ = 769451904. Its totient is φ = 160302240.

The previous prime is 414114413. The next prime is 414114433. The reversal of 414114430 is 34411414.

414114430 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4141144302 = 342981522268449800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414114433) 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, 667617 + ... + 668236.

It is an arithmetic number, because the mean of its divisors is an integer number (48090744).

Almost surely, 2414114430 is an apocalyptic number.

414114430 is a deficient number, since it is larger than the sum of its proper divisors (355337474).

414114430 is a wasteful number, since it uses less digits than its factorization.

414114430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335891.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 414114430 is about 20349.8017189357. The cubic root of 414114430 is about 745.3726526276.

Adding to 414114430 its reverse (34411414), we get a palindrome (448525844).

The spelling of 414114430 in words is "four hundred fourteen million, one hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 5 10 31 62 155 310 1335853 2671706 6679265 13358530 41411443 82822886 207057215 414114430