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104140010412 = 2232371011395569
BaseRepresentation
bin110000011111100111…
…0100111001110101100
3100221210200210122212200
41200333032213032230
53201234320313122
6115501413501500
710344454324464
oct1407716471654
9327720718780
10104140010412
1140190359209
1218224341890
139a88443149
14507cc1cba4
152a979195ac
hex183f3a73ac

104140010412 has 144 divisors (see below), whose sum is σ = 275047936800. Its totient is φ = 33194188800.

The previous prime is 104140010407. The next prime is 104140010423. The reversal of 104140010412 is 214010041401.

104140010412 is a `hidden beast` number, since 104 + 140 + 0 + 10 + 412 = 666.

It is a super-2 number, since 2×1041400104122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18697164 + ... + 18702732.

Almost surely, 2104140010412 is an apocalyptic number.

104140010412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104140010412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137523968400).

104140010412 is an abundant number, since it is smaller than the sum of its proper divisors (170907926388).

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

104140010412 is a wasteful number, since it uses less digits than its factorization.

104140010412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5856 (or 5851 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 104140010412 its reverse (214010041401), we get a palindrome (318150051813).

The spelling of 104140010412 in words is "one hundred four billion, one hundred forty million, ten thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 101 111 139 148 202 222 278 303 333 404 417 444 556 606 666 834 909 1212 1251 1332 1668 1818 2502 3636 3737 5004 5143 5569 7474 10286 11138 11211 14039 14948 15429 16707 20572 22276 22422 28078 30858 33414 33633 42117 44844 46287 50121 56156 61716 66828 67266 84234 92574 100242 126351 134532 168468 185148 200484 206053 252702 412106 505404 519443 562469 618159 774091 824212 1038886 1124938 1236318 1548182 1558329 1687407 1854477 2077772 2249876 2322273 2472636 3096364 3116658 3374814 3708954 4644546 4674987 5062221 6233316 6749628 6966819 7417908 9289092 9349974 10124442 13933638 18699948 20248884 20811353 27867276 28641367 41622706 57282734 62434059 78183191 83245412 85924101 114565468 124868118 156366382 171848202 187302177 234549573 249736236 257772303 312732764 343696404 374604354 469099146 515544606 703648719 749208708 938198292 1031089212 1407297438 2814594876 2892778067 5785556134 8678334201 11571112268 17356668402 26035002603 34713336804 52070005206 104140010412