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4134332133 = 3223291514561
BaseRepresentation
bin1111011001101100…
…1110011011100101
3101200010110211111100
43312123032123211
531431342112013
61522125030313
7204311146311
oct36633163345
911603424440
104134332133
1118317a4a18
129746b5399
1350b6c5c99
142b3120b41
15192e5c473
hexf66ce6e5

4134332133 has 48 divisors (see below), whose sum is σ = 6490448640. Its totient is φ = 2528064000.

The previous prime is 4134332123. The next prime is 4134332149. The reversal of 4134332133 is 3312334314.

4134332133 is a `hidden beast` number, since 4 + 13 + 433 + 213 + 3 = 666.

It is not a de Polignac number, because 4134332133 - 210 = 4134331109 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4134332097 and 4134332106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134332123) 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, 904173 + ... + 908733.

It is an arithmetic number, because the mean of its divisors is an integer number (135217680).

Almost surely, 24134332133 is an apocalyptic number.

It is an amenable number.

4134332133 is a deficient number, since it is larger than the sum of its proper divisors (2356116507).

4134332133 is a wasteful number, since it uses less digits than its factorization.

4134332133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4770 (or 4767 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 4134332133 is about 64298.7724066331. The cubic root of 4134332133 is about 1604.9756737804.

Adding to 4134332133 its reverse (3312334314), we get a palindrome (7446666447).

The spelling of 4134332133 in words is "four billion, one hundred thirty-four million, three hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 23 29 69 87 151 207 261 453 667 1359 2001 3473 4379 4561 6003 10419 13137 13683 31257 39411 41049 100717 104903 132269 302151 314709 396807 688711 906453 944127 1190421 2066133 3042187 6198399 9126561 15840353 19972619 27379683 47521059 59917857 142563177 179753571 459370237 1378110711 4134332133