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11040042112 = 2711194091009
BaseRepresentation
bin10100100100000100…
…11010110010000000
31001111101210020200121
422102002122302000
5140102222321422
65023254230024
7540403544461
oct122202326200
931441706617
1011040042112
1147558a8050
122181355314
13106c3073c8
1476a334d68
1544934d8c7
hex29209ac80

11040042112 has 128 divisors (see below), whose sum is σ = 25342920000. Its totient is φ = 4737761280.

The previous prime is 11040042109. The next prime is 11040042187. The reversal of 11040042112 is 21124004011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10941064 + ... + 10942072.

Almost surely, 211040042112 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 11040042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12671460000).

11040042112 is an abundant number, since it is smaller than the sum of its proper divisors (14302877888).

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

11040042112 is a wasteful number, since it uses less digits than its factorization.

11040042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11040042112 its reverse (21124004011), we get a palindrome (32164046123).

The spelling of 11040042112 in words is "eleven billion, forty million, forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 304 352 409 418 608 704 818 836 1009 1216 1408 1636 1672 2018 2432 3272 3344 4036 4499 6544 6688 7771 8072 8998 11099 13088 13376 15542 16144 17996 19171 22198 26176 26752 31084 32288 35992 38342 44396 52352 62168 64576 71984 76684 85481 88792 124336 129152 143968 153368 170962 177584 210881 248672 287936 306736 341924 355168 412681 421762 497344 575872 613472 683848 710336 825362 843524 994688 1226944 1367696 1420672 1650724 1687048 2453888 2735392 3301448 3374096 4539491 5470784 6602896 6748192 7840939 9078982 10941568 13205792 13496384 15681878 18157964 26411584 26992768 31363756 36315928 52823168 62727512 72631856 86250329 125455024 145263712 172500658 250910048 290527424 345001316 501820096 581054848 690002632 1003640192 1380005264 2760010528 5520021056 11040042112