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11024040412 = 22711283197199
BaseRepresentation
bin10100100010001010…
…11000000111011100
31001110021200021111001
422101011120013130
5140034123243122
65021523240044
7540120540340
oct122105300734
931407607431
1011024040412
114747868800
122177b19024
131068bc3b48
1476816b620
15447c3c527
hex2911581dc

11024040412 has 144 divisors (see below), whose sum is σ = 24775027200. Its totient is φ = 4200577920.

The previous prime is 11024040409. The next prime is 11024040427. The reversal of 11024040412 is 21404042011.

It is a self number, because there is not a number n which added to its sum of digits gives 11024040412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55397089 + ... + 55397287.

It is an arithmetic number, because the mean of its divisors is an integer number (172048800).

Almost surely, 211024040412 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 11024040412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12387513600).

11024040412 is an abundant number, since it is smaller than the sum of its proper divisors (13750986788).

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

11024040412 is a wasteful number, since it uses less digits than its factorization.

11024040412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 11024040412 its reverse (21404042011), we get a palindrome (32428082423).

The spelling of 11024040412 in words is "eleven billion, twenty-four million, forty thousand, four hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 83 121 154 166 197 199 242 308 332 394 398 484 581 788 796 847 913 1162 1379 1393 1694 1826 2167 2189 2324 2758 2786 3388 3652 4334 4378 5516 5572 6391 8668 8756 10043 12782 15169 15323 16351 16517 20086 23837 24079 25564 30338 30646 32702 33034 39203 40172 47674 48158 60676 61292 65404 66068 70301 78406 95348 96316 114457 115619 140602 156812 166859 168553 179861 181687 228914 231238 274421 281204 333718 337106 359722 363374 431233 457828 462476 548842 667436 674212 719444 726748 862466 1097684 1259027 1271809 1724932 1978471 1998557 2518054 2543618 3018631 3253849 3956942 3997114 4743563 5036108 5087236 6037262 6507698 7913884 7994228 9487126 12074524 13015396 13849297 13989899 18974252 22776943 27698594 27979798 33204941 35792339 45553886 55397188 55959596 66409882 71584678 91107772 132819764 143169356 250546373 393715729 501092746 787431458 1002185492 1574862916 2756010103 5512020206 11024040412