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40804766112 = 2531126157587
BaseRepresentation
bin100110000000001001…
…110101000110100000
310220022202100220001210
4212000021311012200
51132032010003422
630425003430120
72643115534455
oct460011650640
9126282326053
1040804766112
111633a254800
127aa9525340
133b03a13926
141d9141782c
1510dc4a110c
hex9802751a0

40804766112 has 144 divisors (see below), whose sum is σ = 119667403296. Its totient is φ = 12162163200.

The previous prime is 40804766099. The next prime is 40804766147. The reversal of 40804766112 is 21166740804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 679783 + ... + 737369.

It is an arithmetic number, because the mean of its divisors is an integer number (831023634).

Almost surely, 240804766112 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 40804766112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59833701648).

40804766112 is an abundant number, since it is smaller than the sum of its proper divisors (78862637184).

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

40804766112 is a wasteful number, since it uses less digits than its factorization.

40804766112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57683 (or 57664 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 40804766112 in words is "forty billion, eight hundred four million, seven hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 66 88 96 121 122 132 176 183 242 244 264 352 363 366 484 488 528 671 726 732 968 976 1056 1342 1452 1464 1936 1952 2013 2684 2904 2928 3872 4026 5368 5808 5856 7381 8052 10736 11616 14762 16104 21472 22143 29524 32208 44286 57587 59048 64416 88572 115174 118096 172761 177144 230348 236192 345522 354288 460696 633457 691044 708576 921392 1266914 1382088 1842784 1900371 2533828 2764176 3512807 3800742 5067656 5528352 6968027 7025614 7601484 10135312 10538421 13936054 14051228 15202968 20270624 20904081 21076842 27872108 28102456 30405936 38640877 41808162 42153684 55744216 56204912 60811872 77281754 83616324 84307368 111488432 112409824 115922631 154563508 167232648 168614736 222976864 231845262 309127016 334465296 337229472 425049647 463690524 618254032 668930592 850099294 927381048 1236508064 1275148941 1700198588 1854762096 2550297882 3400397176 3709524192 5100595764 6800794352 10201191528 13601588704 20402383056 40804766112