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4112024001330 = 23572612751759
BaseRepresentation
bin111011110101100111101…
…110101101101100110010
3112120002212000121121011110
4323311213232231230302
51014332411121020310
612425012053054150
7603040534211100
oct73654756555462
915502760547143
104112024001330
111345999391953
12564b30627356
1323a9ba72445b
14103047268c70
1571e6ab06d20
hex3bd67badb32

4112024001330 has 144 divisors (see below), whose sum is σ = 11671398760320. Its totient is φ = 924481918080.

The previous prime is 4112024001307. The next prime is 4112024001367. The reversal of 4112024001330 is 331004202114.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 4112024001297 and 4112024001306.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5093991 + ... + 5845749.

It is an arithmetic number, because the mean of its divisors is an integer number (81051380280).

Almost surely, 24112024001330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4112024001330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5835699380160).

4112024001330 is an abundant number, since it is smaller than the sum of its proper divisors (7559374758990).

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

4112024001330 is a wasteful number, since it uses less digits than its factorization.

4112024001330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751905 (or 751837 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 4112024001330 its reverse (331004202114), we get a palindrome (4443028203444).

The spelling of 4112024001330 in words is "four trillion, one hundred twelve billion, twenty-four million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 61 70 98 105 122 147 183 210 245 294 305 366 427 490 610 735 854 915 1281 1470 1830 2135 2562 2989 3721 4270 5978 6405 7442 8967 11163 12810 14945 17934 18605 22326 26047 29890 37210 44835 52094 55815 78141 89670 111630 130235 156282 182329 260470 364658 390705 546987 751759 781410 911645 1093974 1503518 1823290 2255277 2734935 3758795 4510554 5262313 5469870 7517590 10524626 11276385 15786939 22552770 26311565 31573878 36836191 45857299 52623130 73672382 78934695 91714598 110508573 137571897 157869390 184180955 221017146 229286495 275143794 321001093 368361910 458572990 552542865 642002186 687859485 963003279 1105085730 1375718970 1605005465 1926006558 2247007651 2797295239 3210010930 4494015302 4815016395 5594590478 6741022953 8391885717 9630032790 11235038255 13482045906 13986476195 16783771434 19581066673 22470076510 27972952390 33705114765 39162133346 41959428585 58743200019 67410229530 83918857170 97905333365 117486400038 137067466711 195810666730 274134933422 293716000095 411202400133 587432000190 685337333555 822404800266 1370674667110 2056012000665 4112024001330