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11142323244 = 223213672691321
BaseRepresentation
bin10100110000010001…
…00101110000101100
31001202112020200000200
422120020211300230
5140304413320434
65041350353500
7543055120263
oct123010456054
931675220020
1011142323244
1147a8607408
1221ab65b890
1310875692a0
14779b5b5da
15453304199
hex298225c2c

11142323244 has 144 divisors (see below), whose sum is σ = 30922426080. Its totient is φ = 3362135040.

The previous prime is 11142323239. The next prime is 11142323249. The reversal of 11142323244 is 44232324111.

11142323244 is a `hidden beast` number, since 1 + 1 + 1 + 423 + 232 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11142323239) and next prime (11142323249).

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

It is not an unprimeable number, because it can be changed into a prime (11142323249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8434104 + ... + 8435424.

It is an arithmetic number, because the mean of its divisors is an integer number (214739070).

Almost surely, 211142323244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11142323244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15461213040).

11142323244 is an abundant number, since it is smaller than the sum of its proper divisors (19780102836).

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

11142323244 is a wasteful number, since it uses less digits than its factorization.

11142323244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1675 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 11142323244 its reverse (44232324111), we get a palindrome (55374647355).

The spelling of 11142323244 in words is "eleven billion, one hundred forty-two million, three hundred twenty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 67 78 117 134 156 201 234 268 269 402 468 538 603 804 807 871 1076 1206 1321 1614 1742 2412 2421 2613 2642 3228 3484 3497 3963 4842 5226 5284 6994 7839 7926 9684 10452 10491 11889 13988 15678 15852 17173 18023 20982 23778 31356 31473 34346 36046 41964 47556 51519 54069 62946 68692 72092 88507 103038 108138 125892 154557 162207 177014 206076 216276 234299 265521 309114 324414 354028 355349 468598 531042 618228 648828 702897 710698 796563 937196 1062084 1066047 1150591 1405794 1421396 1593126 2108691 2132094 2301182 2811588 3186252 3198141 3451773 4217382 4264188 4602364 4619537 6396282 6903546 8434764 9239074 10355319 12792564 13807092 13858611 18478148 20710638 23808383 27717222 41421276 41575833 47616766 55434444 71425149 83151666 95233532 142850298 166303332 214275447 285700596 309508979 428550894 619017958 857101788 928526937 1238035916 1857053874 2785580811 3714107748 5571161622 11142323244