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40040112112 = 24711135942373
BaseRepresentation
bin100101010010100100…
…111001111111110000
310211100110112102222021
4211102210321333300
51124000232041422
630221050321224
72615142223510
oct452244717760
9124313472867
1040040112112
1115a87665950
127915429214
133a11488140
141d1ba4d840
1510952abdc7
hex952939ff0

40040112112 has 160 divisors (see below), whose sum is σ = 105928220160. Its totient is φ = 14155637760.

The previous prime is 40040112103. The next prime is 40040112131. The reversal of 40040112112 is 21121104004.

It is a happy number.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 923758 + ... + 966130.

It is an arithmetic number, because the mean of its divisors is an integer number (662051376).

Almost surely, 240040112112 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 40040112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52964110080).

40040112112 is an abundant number, since it is smaller than the sum of its proper divisors (65888108048).

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

40040112112 is a wasteful number, since it uses less digits than its factorization.

40040112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42471 (or 42465 counting only the distinct ones).

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

Adding to 40040112112 its reverse (21121104004), we get a palindrome (61161216116).

The spelling of 40040112112 in words is "forty billion, forty million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 59 77 88 91 104 112 118 143 154 176 182 208 236 286 308 364 413 472 572 616 649 728 767 826 944 1001 1144 1232 1298 1456 1534 1652 2002 2288 2596 3068 3304 4004 4543 5192 5369 6136 6608 8008 8437 9086 10384 10738 12272 16016 16874 18172 21476 33748 36344 42373 42952 59059 67496 72688 84746 85904 118118 134992 169492 236236 296611 338984 466103 472472 550849 593222 677968 932206 944944 1101698 1186444 1864412 2203396 2372888 2500007 3262721 3728824 3855943 4406792 4745776 5000014 6059339 6525442 7457648 7711886 8813584 10000028 12118678 13050884 15423772 17500049 20000056 24237356 26101768 27500077 30847544 32500091 35000098 40000112 42415373 48474712 52203536 55000154 61695088 65000182 70000196 84830746 96949424 110000308 130000364 140000392 169661492 192500539 220000616 227500637 260000728 280000784 339322984 357501001 385001078 440001232 455001274 520001456 678645968 715002002 770002156 910002548 1430004004 1540004312 1820005096 2502507007 2860008008 3080008624 3640010192 5005014014 5720016016 10010028028 20020056056 40040112112