Search a number
-
+
4056611031 = 331122947911
BaseRepresentation
bin1111000111001010…
…1111100011010111
3101110201020012012000
43301302233203113
531301443023111
61510311130343
7202345424214
oct36162574327
911421205160
104056611031
1117a193aa00
129526739b3
134c8582c75
142a6a8cb0b
1518b208c56
hexf1caf8d7

4056611031 has 96 divisors (see below), whose sum is σ = 6986649600. Its totient is φ = 2320718400.

The previous prime is 4056611003. The next prime is 4056611123. The reversal of 4056611031 is 1301166504.

4056611031 is a `hidden beast` number, since 40 + 5 + 6 + 611 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 4056611031 - 222 = 4052416727 is a prime.

It is a super-2 number, since 2×40566110312 = 32912186113661765922, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4056610986 and 4056611004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4056611731) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4452466 + ... + 4453376.

It is an arithmetic number, because the mean of its divisors is an integer number (72777600).

Almost surely, 24056611031 is an apocalyptic number.

4056611031 is a deficient number, since it is larger than the sum of its proper divisors (2930038569).

4056611031 is a wasteful number, since it uses less digits than its factorization.

4056611031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 4056611031 is about 63691.5302924965. The cubic root of 4056611031 is about 1594.8546994076.

Adding to 4056611031 its reverse (1301166504), we get a palindrome (5357777535).

The spelling of 4056611031 in words is "four billion, fifty-six million, six hundred eleven thousand, thirty-one".

Divisors: 1 3 9 11 27 29 33 47 87 99 121 141 261 297 319 363 423 517 783 911 957 1089 1269 1363 1551 2733 2871 3267 3509 4089 4653 5687 8199 8613 10021 10527 12267 13959 14993 17061 24597 26419 30063 31581 36801 42817 44979 51183 79257 90189 94743 110231 128451 134937 153549 164923 237771 270567 290609 330693 385353 404811 470987 494769 713313 871827 992079 1156059 1241693 1412961 1484307 2615481 2976237 3196699 3725079 4238883 4452921 5180857 7846443 9590097 11175237 12716649 13658623 15542571 28770291 33525711 40975869 46627713 86310873 122927607 139883139 150244853 368782821 450734559 1352203677 4056611031