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414376131 = 31399710657
BaseRepresentation
bin11000101100101…
…110000011000011
31001212201111012010
4120230232003003
51322040014011
6105041304003
713161065451
oct3054560303
91055644163
10414376131
111a29a4a14
12b6935003
1367b05ca0
143d0679d1
15265a31a6
hex18b2e0c3

414376131 has 16 divisors (see below), whose sum is σ = 595654304. Its totient is φ = 254721024.

The previous prime is 414376121. The next prime is 414376133. The reversal of 414376131 is 131673414.

It is not a de Polignac number, because 414376131 - 211 = 414374083 is a prime.

It is a super-2 number, since 2×4143761312 = 343415155885058322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414376133) 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 15 ways as a sum of consecutive naturals, for example, 33555 + ... + 44211.

It is an arithmetic number, because the mean of its divisors is an integer number (37228394).

Almost surely, 2414376131 is an apocalyptic number.

414376131 is a deficient number, since it is larger than the sum of its proper divisors (181278173).

414376131 is a wasteful number, since it uses less digits than its factorization.

414376131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11670.

The product of its digits is 6048, while the sum is 30.

The square root of 414376131 is about 20356.2307660333. The cubic root of 414376131 is about 745.5296331449.

The spelling of 414376131 in words is "four hundred fourteen million, three hundred seventy-six thousand, one hundred thirty-one".

Divisors: 1 3 13 39 997 2991 10657 12961 31971 38883 138541 415623 10625029 31875087 138125377 414376131