Search a number
-
+
6042135411 = 3313433131279
BaseRepresentation
bin1011010000010001…
…11010101101110011
3120121002100021121000
411220020322231303
544333241313121
62435315533043
7302505206064
oct55010725563
916532307530
106042135411
11262069a844
1212075ba183
13753a2c570
1441465a56b
152556ac526
hex16823ab73

6042135411 has 64 divisors (see below), whose sum is σ = 9903308800. Its totient is φ = 3617332992.

The previous prime is 6042135403. The next prime is 6042135439. The reversal of 6042135411 is 1145312406.

It is a happy number.

6042135411 is a `hidden beast` number, since 604 + 2 + 1 + 3 + 54 + 1 + 1 = 666.

It is not a de Polignac number, because 6042135411 - 23 = 6042135403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6042135481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4723470 + ... + 4724748.

It is an arithmetic number, because the mean of its divisors is an integer number (154739200).

Almost surely, 26042135411 is an apocalyptic number.

6042135411 is a deficient number, since it is larger than the sum of its proper divisors (3861173389).

6042135411 is a wasteful number, since it uses less digits than its factorization.

6042135411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6042135411 is about 77731.1739973095. The cubic root of 6042135411 is about 1821.3642923356.

Adding to 6042135411 its reverse (1145312406), we get a palindrome (7187447817).

The spelling of 6042135411 in words is "six billion, forty-two million, one hundred thirty-five thousand, four hundred eleven".

Divisors: 1 3 9 13 27 39 43 117 129 313 351 387 559 939 1161 1279 1677 2817 3837 4069 5031 8451 11511 12207 13459 15093 16627 34533 36621 40377 49881 54997 109863 121131 149643 164991 174967 363393 400327 448929 494973 524901 714961 1200981 1484919 1574703 2144883 3602943 4724109 5204251 6434649 10808829 15612753 17214061 19303947 46838259 51642183 140514777 154926549 223782793 464779647 671348379 2014045137 6042135411