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11124334404 = 223217211277311
BaseRepresentation
bin10100101110000111…
…11101111101000100
31001201021101201222100
422113003331331010
5140240312200104
65035505032100
7542446165551
oct122703757504
931637351870
1011124334404
1147994400a7
1221a5625630
13108390b3c1
147775d7a28
1545194e139
hex2970fdf44

11124334404 has 144 divisors (see below), whose sum is σ = 30119596416. Its totient is φ = 3449779200.

The previous prime is 11124334379. The next prime is 11124334447. The reversal of 11124334404 is 40443342111.

11124334404 is a `hidden beast` number, since 1 + 11 + 243 + 3 + 4 + 404 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35769409 + ... + 35769719.

It is an arithmetic number, because the mean of its divisors is an integer number (209163864).

Almost surely, 211124334404 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 11124334404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15059798208).

11124334404 is an abundant number, since it is smaller than the sum of its proper divisors (18995262012).

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

11124334404 is a wasteful number, since it uses less digits than its factorization.

11124334404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 821 counting only the distinct ones).

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

Adding to 11124334404 its reverse (40443342111), we get a palindrome (51567676515).

The spelling of 11124334404 in words is "eleven billion, one hundred twenty-four million, three hundred thirty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 211 277 306 311 422 554 612 622 633 831 844 933 1108 1244 1266 1662 1866 1899 2493 2532 2799 3324 3587 3732 3798 4709 4986 5287 5598 7174 7596 9418 9972 10574 10761 11196 14127 14348 15861 18836 21148 21522 28254 31722 32283 42381 43044 47583 56508 58447 63444 64566 65621 84762 86147 95166 116894 129132 131242 169524 172294 175341 190332 196863 233788 258441 262484 344588 350682 393726 516882 526023 590589 701364 775323 787452 993599 1033764 1052046 1115557 1181178 1464499 1550646 1987198 2104092 2231114 2362356 2928998 2980797 3101292 3346671 3974396 4393497 4462228 5857996 5961594 6693342 8786994 8942391 10040013 11923188 13180491 13386684 17573988 17884782 18177017 20080026 26360982 35769564 36354034 40160052 52721964 54531051 72708068 109062102 163593153 218124204 309009289 327186306 618018578 654372612 927027867 1236037156 1854055734 2781083601 3708111468 5562167202 11124334404