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40410042112 = 281129598387
BaseRepresentation
bin100101101000101000…
…000100111100000000
310212022020121211112101
4211220220010330000
51130224432321422
630321503240144
72630253455566
oct455050047400
9125266554471
1040410042112
1116157462820
1279b92a9054
133a6cccb92b
141d54c27a36
1510b79d0c27
hex968a04f00

40410042112 has 144 divisors (see below), whose sum is σ = 92583388800. Its totient is φ = 17432145920.

The previous prime is 40410042109. The next prime is 40410042121. The reversal of 40410042112 is 21124001404.

It is a super-2 number, since 2×404100421122 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40410042112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4813983 + ... + 4822369.

It is an arithmetic number, because the mean of its divisors is an integer number (642940200).

Almost surely, 240410042112 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 40410042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46291694400).

40410042112 is an abundant number, since it is smaller than the sum of its proper divisors (52173346688).

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

40410042112 is a wasteful number, since it uses less digits than its factorization.

40410042112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8502 (or 8488 counting only the distinct ones).

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

Adding to 40410042112 its reverse (21124001404), we get a palindrome (61534043516).

The spelling of 40410042112 in words is "forty billion, four hundred ten million, forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 59 64 88 116 118 128 176 232 236 256 319 352 464 472 638 649 704 928 944 1276 1298 1408 1711 1856 1888 2552 2596 2816 3422 3712 3776 5104 5192 6844 7424 7552 8387 10208 10384 13688 15104 16774 18821 20416 20768 27376 33548 37642 40832 41536 54752 67096 75284 81664 83072 92257 109504 134192 150568 166144 184514 219008 243223 268384 301136 369028 438016 486446 494833 536768 602272 738056 972892 989666 1073536 1204544 1476112 1945784 1979332 2147072 2409088 2675453 2952224 3891568 3958664 4818176 5350906 5443163 5904448 7783136 7917328 10701812 10886326 11808896 14350157 15566272 15834656 21403624 21772652 23617792 28700314 31132544 31669312 42807248 43545304 57400628 62265088 63338624 85614496 87090608 114801256 126677248 157851727 171228992 174181216 229602512 315703454 342457984 348362432 459205024 631406908 684915968 696724864 918410048 1262813816 1393449728 1836820096 2525627632 3673640192 5051255264 10102510528 20205021056 40410042112