Search a number
-
+
2114112434412 = 22311612291146539
BaseRepresentation
bin11110110000111010111…
…010111011000011101100
321111002220010112010210210
4132300322322323003230
5234114200240400122
64255113154302420
7305511451123146
oct36607272730354
97432803463723
102114112434412
11745654399820
122a188bb87a10
1312448aa5b104
1474475cd3c96
1539ed615940c
hex1ec3aebb0ec

2114112434412 has 96 divisors (see below), whose sum is σ = 5493485894400. Its totient is φ = 627385593600.

The previous prime is 2114112434333. The next prime is 2114112434431. The reversal of 2114112434412 is 2144342114112.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2114112434412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1270639 + ... + 2417177.

It is an arithmetic number, because the mean of its divisors is an integer number (57223811400).

Almost surely, 22114112434412 is an apocalyptic number.

2114112434412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114112434412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746742947200).

2114112434412 is an abundant number, since it is smaller than the sum of its proper divisors (3379373459988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2114112434412 is a wasteful number, since it uses less digits than its factorization.

2114112434412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146847 (or 1146845 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

Adding to 2114112434412 its reverse (2144342114112), we get a palindrome (4258454548524).

The spelling of 2114112434412 in words is "two trillion, one hundred fourteen billion, one hundred twelve million, four hundred thirty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 229 244 366 458 671 687 732 916 1342 1374 2013 2519 2684 2748 4026 5038 7557 8052 10076 13969 15114 27938 30228 41907 55876 83814 153659 167628 307318 460977 614636 921954 1146539 1843908 2293078 3439617 4586156 6879234 12611929 13758468 25223858 37835787 50447716 69938879 75671574 139877758 151343148 209816637 262557431 279755516 419633274 525114862 769327669 787672293 839266548 1050229724 1538655338 1575344586 2307983007 2888131741 3077310676 3150689172 4615966014 5776263482 8664395223 9231932028 11552526964 16016003291 17328790446 32032006582 34657580892 48048009873 64064013164 96096019746 176176036201 192192039492 352352072402 528528108603 704704144804 1057056217206 2114112434412