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414124314 = 23432715923
BaseRepresentation
bin11000101011110…
…000100100011010
31001212020200202120
4120223300210122
51322003434224
6105032042110
713155666342
oct3053604432
91055220676
10414124314
111a28427aa
12b6833336
1367a48496
143cdddd22
1526553779
hex18af091a

414124314 has 32 divisors (see below), whose sum is σ = 850781184. Its totient is φ = 134310960.

The previous prime is 414124307. The next prime is 414124339. The reversal of 414124314 is 413421414.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 66957 + ... + 72879.

It is an arithmetic number, because the mean of its divisors is an integer number (26586912).

Almost surely, 2414124314 is an apocalyptic number.

414124314 is an abundant number, since it is smaller than the sum of its proper divisors (436656870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414124314 is a wasteful number, since it uses less digits than its factorization.

414124314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6242.

The product of its digits is 1536, while the sum is 24.

The square root of 414124314 is about 20350.0445699758. The cubic root of 414124314 is about 745.3785827153.

Adding to 414124314 its reverse (413421414), we get a palindrome (827545728).

The spelling of 414124314 in words is "four hundred fourteen million, one hundred twenty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 43 86 129 258 271 542 813 1626 5923 11653 11846 17769 23306 34959 35538 69918 254689 509378 764067 1528134 1605133 3210266 4815399 9630798 69020719 138041438 207062157 414124314