21681168960
21,681,168,960 is an even composite number composed of eight prime numbers multiplied together.
What does the number 21681168960 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 896 divisors.
21681168960 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 21681168960:
26 × 3 × 5 × 11 × 17 × 23 × 59 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 17 × 23 × 59 × 89)See below for interesting mathematical facts about the number 21681168960 from the Numbermatics database.
Names of 21681168960
- Cardinal: 21681168960 can be written as Twenty-one billion, six hundred eighty-one million, one hundred sixty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 2.168116896 × 1010
Factors of 21681168960
Divisors of 21681168960
- Number of divisors d(n): 896
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 23 24 30 32 33 34 40 44 46 48 51 55 59 60 64 66 68 69 80 85 88 89 92 96 102 110 115 118 120 132 136 138 160 165 170 176 177 178 184 187 192 204 220 230 236 240 253 255 264 267 272 276 295 320 330 340 345 352 354 356 368 374 391 408 440 445 460 472 480 506 510 528 534 544 552 561 590 649 660 680 690 704 708 712 736 748 759 782 816 880 885 890 920 935 944 960 979 1003 1012 1020 1056 1068 1088 1104 1122 1173 1180 1265 1298 1320 1335 1357 1360 1380 1416 1424 1472 1496 1513 1518 1564 1632 1760 1770 1780 1840 1870 1888 1947 1955 1958 2006 2024 2040 2047 2112 2136 2208 2244 2346 2360 2530 2596 2640 2670 2714 2720 2760 2805 2832 2848 2937 2992 3009 3026 3036 3128 3245 3264 3520 3540 3560 3680 3740 3776 3795 3894 3910 3916 4012 4048 4071 4080 4094 4272 4301 4416 4488 4539 4692 4720 4895 5015 5060 5192 5251 5280 5340 5428 5440 5520 5610 5664 5696 5865 5874 5984 6018 6052 6072 6141 6256 6490 6785 7080 7120 7360 7480 7565 7590 7788 7820 7832 8024 8096 8142 8160 8188 8544 8602 8976 9078 9384 9440 9735 9790 10030 10120 10235 10384 10502 10560 10680 10856 11033 11040 11220 11328 11730 11748 11968 12036 12104 12144 12282 12512 12903 12980 13570 14160 14240 14685 14927 14960 15045 15130 15180 15576 15640 15664 15753 16048 16192 16284 16320 16376 16643 17088 17204 17952 18156 18768 18880 19470 19580 20060 20240 20355 20470 20768 21004 21360 21505 21712 22066 22080 22440 22517 22695 23069 23460 23496 24072 24208 24288 24564 25024 25806 25960 26255 27140 28320 28480 29370 29854 29920 30090 30260 30360 30705 31152 31280 31328 31506 32096 32568 32752 33099 33286 34408 34799 35904 36312 37536 38940 39160 40120 40480 40710 40940 41536 42008 42720 43010 43424 44132 44781 44880 45034 45390 46138 46920 46992 48144 48416 48576 49128 49929 51612 51920 52510 54280 55165 56640 57761 58740 59708 59840 60180 60520 60720 61410 62304 62560 62656 63012 64192 64515 65136 65504 66198 66572 67551 68816 69207 69598 72624 74635 75072 77880 78320 78765 80240 80960 81420 81880 83215 84016 85440 86020 86848 88264 89267 89562 89760 90068 90780 92276 93840 93984 96288 96832 98256 99858 103224 103840 104397 105020 108560 110330 112585 115345 115522 117480 119416 120360 120773 121040 121440 122820 124608 125120 126024 129030 130272 131008 132396 133144 135102 137632 138414 139196 145248 149270 155760 156640 157530 160480 162840 163760 165495 166430 168032 172040 173283 173995 176528 178534 179124 179520 180136 181560 184552 187680 187968 192576 196512 199716 206448 207680 208794 210040 217120 220660 223905 225170 230690 231044 234960 238832 240720 241546 242080 242880 245640 249645 252048 253759 258060 260544 264792 266288 267801 270204 275264 276828 278392 288805 290496 298540 311520 313280 315060 320960 325680 327520 330990 332860 336064 337755 344080 346035 346566 347990 353056 357068 358248 360272 362319 363120 369104 375360 382789 393024 399432 412896 417588 420080 434240 441320 446335 447810 450340 461380 462088 469920 477664 481440 483092 484160 491280 499290 504096 507518 516120 521985 529584 532576 535602 540408 553656 556784 577610 597080 603865 623040 630120 651360 655040 661980 665720 675510 688160 692070 693132 695980 706112 714136 716496 720544 724638 726240 738208 761277 765578 798864 825792 835176 840160 866415 882640 892670 895620 900680 922760 924176 939840 955328 962880 966184 981937 982560 998580 1008192 1015036 1032240 1043970 1059168 1065152 1071204 1080816 1107312 1113568 1148367 1155220 1194160 1207730 1260240 1268795 1302720 1323960 1328503 1331440 1339005 1351020 1376320 1384140 1386264 1391960 1428272 1432992 1441088 1449276 1452480 1476416 1522554 1531156 1597728 1670352 1680320 1732830 1765280 1785340 1791240 1801360 1811595 1845520 1848352 1913945 1932368 1963874 1965120 1997160 2030072 2053141 2064480 2087940 2118336 2142408 2161632 2214624 2227136 2296734 2310440 2388320 2415460 2520480 2537590 2647920 2657006 2662880 2678010 2702040 2768280 2772528 2783920 2856544 2865984 2898552 2945811 3045108 3062312 3195456 3340704 3465660 3530560 3570680 3582480 3602720 3623190 3691040 3696704 3806385 3827890 3864736 3927748 3985509 3994320 4060144 4106282 4128960 4175880 4284816 4323264 4429248 4593468 4620880 4776640 4830920 4909685 5040960 5075180 5295840 5314012 5325760 5356020 5404080 5536560 5545056 5567840 5713088 5741835 5797104 5891622 6090216 6124624 6159423 6642515 6681408 6931320 7141360 7164960 7205440 7246380 7382080 7612770 7655780 7729472 7855496 7971018 7988640 8120288 8212564 8351760 8569632 9186936 9241760 9661840 9819370 10150360 10265705 10591680 10628024 10712040 10808160 11073120 11090112 11135680 11483670 11594208 11783244 12180432 12249248 12318846 13285030 13862640 14282720 14329920 14492760 14729055 15225540 15311560 15710992 15942036 15977280 16240576 16425128 16703520 17139264 18373872 18483520 19323680 19638740 19927545 20300720 20531410 21256048 21424080 21616320 22146240 22584551 22967340 23188416 23566488 24360864 24498496 24637692 26570060 27725280 28565440 28985520 29458110 30451080 30623120 30797115 31421984 31884072 32850256 33407040 36747744 38647360 39277480 39855090 40601440 41062820 42512096 42848160 45169102 45934680 47132976 48721728 49275384 53140120 55450560 57971040 58916220 60902160 61246240 61594230 62843968 63768144 65700512 67753653 73495488 78554960 79710180 81202880 82125640 85024192 85696320 90338204 91869360 94265952 98550768 106280240 112922755 115942080 117832440 121804320 122492480 123188460 127536288 131401024 135507306 157109920 159420360 164251280 180676408 183738720 188531904 197101536 212560480 225845510 235664880 243608640 246376920 255072576 271014612 314219840 318840720 328502560 338768265 361352816 367477440 394203072 425120960 451691020 471329760 492753840 542029224 637681440 657005120 677536530 722705632 903382040 942659520 985507680 1084058448 1275362880 1355073060 1445411264 1806764080 1971015360 2168116896 2710146120 3613528160 4336233792 5420292240 7227056320 10840584480 21681168960
- Sum of all divisors σ(n): 85324492800
- Sum of proper divisors (its aliquot sum) s(n): 63643323840
- 21681168960 is an abundant number, because the sum of its proper divisors (63643323840) is greater than itself. Its abundance is 41962154880
Bases of 21681168960
- Binary: 101000011000100110001100010010000002
- Hexadecimal: 0x50C4C6240
- Base-36: 9YKEP1C
Squares and roots of 21681168960
- 21681168960 squared (216811689602) is 470073087472067481600
- 21681168960 cubed (216811689603) is 10191734033030754349091291136000
-
The
square root of 21681168960 is 147245.2680394179 -
The
cube root of 21681168960 is 2788.4373927381
Scales and comparisons
How big is 21681168960?- 21,681,168,960 seconds is equal to 689 years, 20 weeks, 3 days, 10 hours, 56 minutes.
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To count from 1 to 21,681,168,960 would take you about one thousand, three hundred seventy-eight years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 21681168960 cubic inches would be around 232.4 feet tall.
Recreational maths with 21681168960
- 21681168960 backwards is 06986118612
- 21681168960 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 21681168960's digits is 48
- More coming soon!
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The information we have on file for 21681168960 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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