21664560168960000
21,664,560,168,960,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 21664560168960000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1620 divisors.
21664560168960000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 21664560168960000:
217 × 3 × 54 × 412 × 2292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 41 × 41 × 229 × 229)See below for interesting mathematical facts about the number 21664560168960000 from the Numbermatics database.
Names of 21664560168960000
- Cardinal: 21664560168960000 can be written as Twenty-one quadrillion, six hundred sixty-four trillion, five hundred sixty billion, one hundred sixty-eight million, nine hundred sixty thousand.
Scientific notation
- Scientific notation: 2.166456016896 × 1016
Factors of 21664560168960000
Divisors of 21664560168960000
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 41 48 50 60 64 75 80 82 96 100 120 123 125 128 150 160 164 192 200 205 229 240 246 250 256 300 320 328 375 384 400 410 458 480 492 500 512 600 615 625 640 656 687 750 768 800 820 916 960 984 1000 1024 1025 1145 1200 1230 1250 1280 1312 1374 1500 1536 1600 1640 1681 1832 1875 1920 1968 2000 2048 2050 2290 2400 2460 2500 2560 2624 2748 3000 3072 3075 3200 3280 3362 3435 3664 3750 3840 3936 4000 4096 4100 4580 4800 4920 5000 5043 5120 5125 5248 5496 5725 6000 6144 6150 6400 6560 6724 6870 7328 7500 7680 7872 8000 8192 8200 8405 9160 9389 9600 9840 10000 10086 10240 10250 10496 10992 11450 12000 12288 12300 12800 13120 13448 13740 14656 15000 15360 15375 15744 16000 16384 16400 16810 17175 18320 18778 19200 19680 20000 20172 20480 20500 20992 21984 22900 24000 24576 24600 25215 25600 25625 26240 26896 27480 28167 28625 29312 30000 30720 30750 31488 32000 32768 32800 33620 34350 36640 37556 38400 39360 40000 40344 40960 41000 41984 42025 43968 45800 46945 48000 49152 49200 50430 51200 51250 52441 52480 53792 54960 56334 57250 58624 60000 61440 61500 62976 64000 65536 65600 67240 68700 73280 75112 76800 76875 78720 80000 80688 81920 82000 83968 84050 85875 87936 91600 93890 96000 98304 98400 100860 102400 102500 104882 104960 107584 109920 112668 114500 117248 120000 122880 123000 125952 126075 128000 131072 131200 134480 137400 140835 143125 146560 150224 153600 153750 157323 157440 160000 161376 163840 164000 167936 168100 171750 175872 183200 187780 192000 196608 196800 201720 204800 205000 209764 209920 210125 215168 219840 225336 229000 234496 234725 240000 245760 246000 251904 252150 256000 262205 262400 268960 274800 281670 286250 293120 300448 307200 307500 314646 314880 320000 322752 327680 328000 335872 336200 343500 351744 366400 375560 384000 384949 393216 393600 403440 409600 410000 419528 419840 420250 429375 430336 439680 450672 458000 468992 469450 480000 491520 492000 503808 504300 512000 524410 524800 537920 549600 563340 572500 586240 600896 614400 615000 629292 629760 630375 640000 645504 655360 656000 671744 672400 687000 703488 704175 732800 751120 768000 769898 786615 787200 806880 819200 820000 839056 839680 840500 858750 860672 879360 901344 916000 937984 938900 960000 983040 984000 1007616 1008600 1024000 1048820 1049600 1050625 1075840 1099200 1126680 1145000 1154847 1172480 1173625 1201792 1228800 1230000 1258584 1259520 1260750 1280000 1291008 1311025 1312000 1343488 1344800 1374000 1406976 1408350 1465600 1502240 1536000 1539796 1573230 1574400 1613760 1638400 1640000 1678112 1679360 1681000 1717500 1721344 1758720 1802688 1832000 1875968 1877800 1920000 1924745 1966080 1968000 2015232 2017200 2048000 2097640 2099200 2101250 2150081 2151680 2198400 2253360 2290000 2309694 2344960 2347250 2403584 2457600 2460000 2517168 2519040 2521500 2560000 2582016 2622050 2624000 2686976 2689600 2748000 2813952 2816700 2931200 3004480 3072000 3079592 3146460 3148800 3151875 3227520 3276800 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4513450035200 4730253312000 5284039065600 5289199260000 5416140042240 5504207360000 5641812544000 5777216045056 5912816640000 6307004416000 6443950080000 6605048832000 6770175052800 7045385420800 7052265680000 7221520056320 7883755520000 8256311040000 8462718816000 8665824067584 8806731776000 9026900070400 9460506624000 10568078131200 10578398520000 10832280084480 11008414720000 11283625088000 11554432090112 11825633280000 12887900160000 13210097664000 13540350105600 14104531360000 14443040112640 15767511040000 16512622080000 16925437632000 17331648135168 17613463552000 18053800140800 18921013248000 21136156262400 21156797040000 21664560168960 22016829440000 22567250176000 23651266560000 26420195328000 27080700211200 28209062720000 28886080225280 31535022080000 33025244160000 33850875264000 34663296270336 35226927104000 36107600281600 42313594080000 43329120337920 44033658880000 45134500352000 47302533120000 52840390656000 54161400422400 56418125440000 57772160450560 66050488320000 67701750528000 72215200563200 84627188160000 86658240675840 88067317760000 90269000704000 94605066240000 105680781312000 108322800844800 112836250880000 132100976640000 135403501056000 144430401126400 169254376320000 173316481351680 176134635520000 180538001408000 216645601689600 225672501760000 264201953280000 270807002112000 288860802252800 338508752640000 361076002816000 433291203379200 451345003520000 528403906560000 541614004224000 677017505280000 722152005632000 866582406758400 902690007040000 1083228008448000 1354035010560000 1444304011264000 1805380014080000 2166456016896000 2708070021120000 3610760028160000 4332912033792000 5416140042240000 7221520056320000 10832280084480000 21664560168960000
- Sum of all divisors σ(n): 74320073716783356
- Sum of proper divisors (its aliquot sum) s(n): 52655513547823356
- 21664560168960000 is an abundant number, because the sum of its proper divisors (52655513547823356) is greater than itself. Its abundance is 30990953378863356
Bases of 21664560168960000
- Binary: 10011001111011111001101011111010001011000000000000000002
- Hexadecimal: 0x4CF7CD7D160000
- Base-36: 5XBG1JM8BUO
Squares and roots of 21664560168960000
- 21664560168960000 squared (216645601689600002) is 469353167314488143747481600000000
- 21664560168960000 cubed (216645601689600003) is 10168329933776678408961856739670491136000000000000
-
The
square root of 21664560168960000 is 147188858.8479440589 -
The
cube root of 21664560168960000 is 278772.5186291919
Scales and comparisons
How big is 21664560168960000?- 21,664,560,168,960,000 seconds is equal to 688,866,000 years, 25 weeks, 2 days, 18 hours, 40 minutes.
-
To count from 1 to 21,664,560,168,960,000 would take you about two billion, sixty-six million, five hundred ninety-eight thousand and one 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 21664560168960000 cubic inches would be around 23231 feet tall.
Recreational maths with 21664560168960000
- 21664560168960000 backwards is 00006986106546612
- 21664560168960000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 21664560168960000's digits is 60
- More coming soon!
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The information we have on file for 21664560168960000 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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