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4131881314 = 21117293112289
BaseRepresentation
bin1111011001000111…
…1000000101100010
3101122221212022121021
43312101320011202
531430230200224
61522000320054
7204251261131
oct36621700542
911587768537
104131881314
111830380650
1297391302a
1350b0485b2
142b2a83918
15192b261e4
hexf6478162

4131881314 has 64 divisors (see below), whose sum is σ = 7645363200. Its totient is φ = 1651507200.

The previous prime is 4131881267. The next prime is 4131881323.

4131881314 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 4131881314.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330082 + ... + 342370.

It is an arithmetic number, because the mean of its divisors is an integer number (119458800).

Almost surely, 24131881314 is an apocalyptic number.

4131881314 is a deficient number, since it is larger than the sum of its proper divisors (3513481886).

4131881314 is a wasteful number, since it uses less digits than its factorization.

4131881314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12379.

The product of its digits is 9216, while the sum is 34.

The square root of 4131881314 is about 64279.7115270441. The cubic root of 4131881314 is about 1604.6584695935.

The spelling of 4131881314 in words is "four billion, one hundred thirty-one million, eight hundred eighty-one thousand, three hundred fourteen".

Divisors: 1 2 11 17 22 29 31 34 58 62 187 319 341 374 493 527 638 682 899 986 1054 1798 5423 5797 9889 10846 11594 12289 15283 19778 24578 30566 135179 168113 208913 270358 336226 356381 380959 417826 712762 761918 2298043 3920191 4190549 4596086 6058477 6476303 7840382 8381098 11047811 12116954 12952606 22095622 66643247 71239333 121525921 133286494 142478666 187812787 243051842 375625574 2065940657 4131881314