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4134343311 = 327233977187
BaseRepresentation
bin1111011001101101…
…0001001010001111
3101200010111101211100
43312123101022033
531431342441221
61522125154143
7204311224020
oct36633211217
911603441740
104134343311
11183180235a
129746bb953
1350b6cb0b7
142b3124c47
15192e60926
hexf66d128f

4134343311 has 48 divisors (see below), whose sum is σ = 7140616704. Its totient is φ = 2253759552.

The previous prime is 4134343289. The next prime is 4134343313. The reversal of 4134343311 is 1133434314.

4134343311 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 343 + 311 = 666.

It is not a de Polignac number, because 4134343311 - 27 = 4134343183 is a prime.

It is a super-2 number, since 2×41343433112 = 34185589226420885442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134343313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 571660 + ... + 578846.

It is an arithmetic number, because the mean of its divisors is an integer number (148762848).

Almost surely, 24134343311 is an apocalyptic number.

4134343311 is a deficient number, since it is larger than the sum of its proper divisors (3006273393).

4134343311 is a wasteful number, since it uses less digits than its factorization.

4134343311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7620 (or 7617 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 4134343311 is about 64298.8593289181. The cubic root of 4134343311 is about 1604.9771202375.

Adding to 4134343311 its reverse (1133434314), we get a palindrome (5267777625).

The spelling of 4134343311 in words is "four billion, one hundred thirty-four million, three hundred forty-three thousand, three hundred eleven".

Divisors: 1 3 7 9 21 23 63 69 161 207 397 483 1191 1449 2779 3573 7187 8337 9131 21561 25011 27393 50309 63917 64683 82179 150927 165301 191751 452781 495903 575253 1157107 1487709 2853239 3471321 8559717 10413963 19972673 25679151 59918019 65624497 179754057 196873491 459371479 590620473 1378114437 4134343311