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413113314 = 231918120021
BaseRepresentation
bin11000100111111…
…001101111100010
31001210100022221010
4120213321233202
51321224111224
6104554241350
713144255665
oct3047715742
91053308833
10413113314
111a2212169
12b6426256
1367783263
143cc196dc
1526403e29
hex189f9be2

413113314 has 32 divisors (see below), whose sum is σ = 874560960. Its totient is φ = 129729600.

The previous prime is 413113307. The next prime is 413113321. The reversal of 413113314 is 413311314.

It is an interprime number because it is at equal distance from previous prime (413113307) and next prime (413113321).

It is a super-2 number, since 2×4131133142 = 341325220408125192, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10624 + ... + 30644.

It is an arithmetic number, because the mean of its divisors is an integer number (27330030).

Almost surely, 2413113314 is an apocalyptic number.

413113314 is an abundant number, since it is smaller than the sum of its proper divisors (461447646).

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

413113314 is a wasteful number, since it uses less digits than its factorization.

413113314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20226.

The product of its digits is 432, while the sum is 21.

The square root of 413113314 is about 20325.1891504114. The cubic root of 413113314 is about 744.7715252126.

Adding to 413113314 its reverse (413311314), we get a palindrome (826424628).

The spelling of 413113314 in words is "four hundred thirteen million, one hundred thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 19 38 57 114 181 362 543 1086 3439 6878 10317 20021 20634 40042 60063 120126 380399 760798 1141197 2282394 3623801 7247602 10871403 21742806 68852219 137704438 206556657 413113314