Search a number
-
+
3164233135041 = 32111011931639663
BaseRepresentation
bin101110000010111010111…
…111011111001111000001
3102012111102211212222001100
4232002322333133033001
5403320322140310131
610421343441325013
7444415434604626
oct56027277371701
912174384788040
103164233135041
11100aa42127950
124312bb336769
1319c502aa7454
14ad214aca34d
1557497b587e6
hex2e0bafdf3c1

3164233135041 has 48 divisors (see below), whose sum is σ = 5061524712192. Its totient is φ = 1888890624000.

The previous prime is 3164233135039. The next prime is 3164233135069. The reversal of 3164233135041 is 1405313324613.

3164233135041 is a `hidden beast` number, since 3 + 1 + 642 + 3 + 3 + 1 + 3 + 5 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 3164233135041 - 21 = 3164233135039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3164233134987 and 3164233135005.

It is not an unprimeable number, because it can be changed into a prime (3164233133041) 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, 1109976 + ... + 2749638.

It is an arithmetic number, because the mean of its divisors is an integer number (105448431504).

Almost surely, 23164233135041 is an apocalyptic number.

It is an amenable number.

3164233135041 is a deficient number, since it is larger than the sum of its proper divisors (1897291577151).

3164233135041 is a wasteful number, since it uses less digits than its factorization.

3164233135041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639974 (or 1639971 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 3164233135041 its reverse (1405313324613), we get a palindrome (4569546459654).

The spelling of 3164233135041 in words is "three trillion, one hundred sixty-four billion, two hundred thirty-three million, one hundred thirty-five thousand, forty-one".

Divisors: 1 3 9 11 33 99 101 193 303 579 909 1111 1737 2123 3333 6369 9999 19107 19493 58479 175437 214423 643269 1639663 1929807 4918989 14756967 18036293 54108879 162326637 165605963 316454959 496817889 949364877 1490453667 1821665593 2848094631 3481004549 5464996779 10443013647 16394990337 31329040941 31961950859 95885852577 287657557731 351581459449 1054744378347 3164233135041