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4112243310340 = 22511294349148207
BaseRepresentation
bin111011110101110100110…
…011010011111100000100
3112120010102022021122120101
4323311310303103330010
51014333333241412330
612425045525413444
7603046136256004
oct73656463237404
915503368248511
104112243310340
111345aa1162a70
12564b91b6a284
1323aa23cac4b9
14103068436004
1571e7eec74ca
hex3bd74cd3f04

4112243310340 has 96 divisors (see below), whose sum is σ = 9747936576000. Its totient is φ = 1443455301120.

The previous prime is 4112243310289. The next prime is 4112243310347. The reversal of 4112243310340 is 430133422114.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4112243310299 and 4112243310308.

It is not an unprimeable number, because it can be changed into a prime (4112243310347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27672517 + ... + 27820723.

It is an arithmetic number, because the mean of its divisors is an integer number (101541006000).

Almost surely, 24112243310340 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 4112243310340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4873968288000).

4112243310340 is an abundant number, since it is smaller than the sum of its proper divisors (5635693265660).

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

4112243310340 is a wasteful number, since it uses less digits than its factorization.

4112243310340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152605 (or 152603 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 4112243310340 its reverse (430133422114), we get a palindrome (4542376732454).

The spelling of 4112243310340 in words is "four trillion, one hundred twelve billion, two hundred forty-three million, three hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 4349 6380 8698 17396 21745 43490 47839 86980 95678 126121 148207 191356 239195 252242 296414 478390 504484 592828 630605 741035 956780 1261210 1387331 1482070 1630277 2522420 2774662 2964140 3260554 4298003 5549324 6521108 6936655 8151385 8596006 13873310 16302770 17192012 21490015 27746620 32605540 42980030 47278033 85960060 94556066 189112132 236390165 472780330 644552243 945560660 1289104486 2578208972 3222761215 6445522430 7090074673 12891044860 14180149346 18692015047 28360298692 35450373365 37384030094 70900746730 74768060188 93460075235 141801493460 186920150470 205612165517 373840300940 411224331034 822448662068 1028060827585 2056121655170 4112243310340