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414231331 = 19293124251
BaseRepresentation
bin11000101100001…
…010101100100011
31001212110010120011
4120230022230203
51322020400311
6105034225351
713156623343
oct3054125443
91055403504
10414231331
111a2906148
12b6885257
1367a850c7
143d02ad23
1526575321
hex18b0ab23

414231331 has 16 divisors (see below), whose sum is σ = 465638400. Its totient is φ = 366660000.

The previous prime is 414231287. The next prime is 414231343. The reversal of 414231331 is 133132414.

It is a cyclic number.

It is not a de Polignac number, because 414231331 - 29 = 414230819 is a prime.

It is a super-2 number, since 2×4142313312 = 343175191164063122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414231371) 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, 4956 + ... + 29206.

It is an arithmetic number, because the mean of its divisors is an integer number (29102400).

Almost surely, 2414231331 is an apocalyptic number.

414231331 is a deficient number, since it is larger than the sum of its proper divisors (51407069).

414231331 is a wasteful number, since it uses less digits than its factorization.

414231331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24330.

The product of its digits is 864, while the sum is 22.

The square root of 414231331 is about 20352.6738046872. The cubic root of 414231331 is about 745.4427834934.

Adding to 414231331 its reverse (133132414), we get a palindrome (547363745).

The spelling of 414231331 in words is "four hundred fourteen million, two hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 19 29 31 551 589 899 17081 24251 460769 703279 751781 13362301 14283839 21801649 414231331