Search a number
-
+
11142444612 = 22313295346471
BaseRepresentation
bin10100110000010010…
…00011011001000100
31001202112110211111210
422120021003121010
5140304431211422
65041353131420
7543056134155
oct123011033104
931675424453
1011142444612
1147a868a612
1221ab6b9b70
1310875ac5c0
14779b8d92c
1545332a10c
hex298243644

11142444612 has 96 divisors (see below), whose sum is σ = 29511578880. Its totient is φ = 3247695360.

The previous prime is 11142444539. The next prime is 11142444613. The reversal of 11142444612 is 21644424111.

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 11142444612.

It is not an unprimeable number, because it can be changed into a prime (11142444613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216537 + ... + 263007.

It is an arithmetic number, because the mean of its divisors is an integer number (307412280).

Almost surely, 211142444612 is an apocalyptic number.

11142444612 is a gapful number since it is divisible by the number (12) 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 11142444612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14755789440).

11142444612 is an abundant number, since it is smaller than the sum of its proper divisors (18369134268).

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

11142444612 is a wasteful number, since it uses less digits than its factorization.

11142444612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46573 (or 46571 counting only the distinct ones).

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

Adding to 11142444612 its reverse (21644424111), we get a palindrome (32786868723).

The spelling of 11142444612 in words is "eleven billion, one hundred forty-two million, four hundred forty-four thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 53 58 78 87 106 116 156 159 174 212 318 348 377 636 689 754 1131 1378 1508 1537 2067 2262 2756 3074 4134 4524 4611 6148 8268 9222 18444 19981 39962 46471 59943 79924 92942 119886 139413 185884 239772 278826 557652 604123 1208246 1347659 1812369 2416492 2462963 2695318 3624738 4042977 4925926 5390636 7249476 7388889 8085954 9851852 14777778 16171908 17519567 29555556 32018519 35039134 52558701 64037038 70078268 71425927 96055557 105117402 128074076 142851854 192111114 210234804 214277781 285703708 384222228 428555562 857111124 928537051 1857074102 2785611153 3714148204 5571222306 11142444612