21638667008000
21,638,667,008,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 21638667008000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
21638667008000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 21638667008000:
211 × 53 × 7 × 53 × 73 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 53 × 73 × 3121)See below for interesting mathematical facts about the number 21638667008000 from the Numbermatics database.
Names of 21638667008000
- Cardinal: 21638667008000 can be written as Twenty-one trillion, six hundred thirty-eight billion, six hundred sixty-seven million, eight thousand.
Scientific notation
- Scientific notation: 2.1638667008 × 1013
Factors of 21638667008000
Divisors of 21638667008000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 53 56 64 70 73 80 100 106 112 125 128 140 146 160 175 200 212 224 250 256 265 280 292 320 350 365 371 400 424 448 500 511 512 530 560 584 640 700 730 742 800 848 875 896 1000 1022 1024 1060 1120 1168 1280 1325 1400 1460 1484 1600 1696 1750 1792 1825 1855 2000 2044 2048 2120 2240 2336 2555 2560 2650 2800 2920 2968 3121 3200 3392 3500 3584 3650 3710 3869 4000 4088 4240 4480 4672 5110 5120 5300 5600 5840 5936 6242 6400 6625 6784 7000 7168 7300 7420 7738 8000 8176 8480 8960 9125 9275 9344 10220 10240 10600 11200 11680 11872 12484 12775 12800 13250 13568 14000 14336 14600 14840 15476 15605 16000 16352 16960 17920 18250 18550 18688 19345 20440 21200 21847 22400 23360 23744 24968 25550 25600 26500 27083 27136 28000 29200 29680 30952 31210 32000 32704 33920 35840 36500 37100 37376 38690 40880 42400 43694 44800 46375 46720 47488 49936 51100 51200 53000 54166 54272 56000 58400 59360 61904 62420 63875 64000 65408 67840 71680 73000 74200 74752 77380 78025 81760 84800 87388 89600 92750 93440 94976 96725 99872 102200 106000 108332 108544 109235 112000 116800 118720 123808 124840 127750 128000 130816 135415 135680 146000 148400 149504 154760 156050 163520 165413 169600 174776 179200 185500 186880 189952 193450 199744 204400 212000 216664 218470 224000 227833 233600 237440 247616 249680 255500 256000 261632 270830 271360 292000 296800 309520 312100 327040 330826 339200 349552 358400 371000 373760 379904 386900 390125 399488 408800 424000 433328 436940 448000 455666 467200 474880 483625 495232 499360 511000 523264 541660 542720 546175 584000 593600 619040 624200 654080 661652 677075 678400 699104 742000 747520 759808 773800 780250 798976 817600 827065 848000 866656 873880 896000 911332 934400 949760 967250 990464 998720 1022000 1046528 1083320 1092350 1139165 1157891 1168000 1187200 1238080 1248400 1308160 1323304 1354150 1356800 1398208 1484000 1547600 1560500 1594831 1597952 1635200 1654130 1696000 1733312 1747760 1792000 1822664 1868800 1899520 1934500 1980928 1997440 2044000 2166640 2184700 2278330 2315782 2336000 2374400 2476160 2496800 2616320 2646608 2708300 2713600 2730875 2796416 2968000 3095200 3121000 3189662 3195904 3270400 3308260 3385375 3392000 3466624 3495520 3645328 3737600 3799040 3869000 3961856 3994880 4088000 4135325 4333280 4369400 4556660 4631564 4672000 4748800 4952320 4993600 5232640 5293216 5416600 5461750 5592832 5695825 5789455 5936000 6190400 6242000 6379324 6391808 6540800 6616520 6770750 6784000 6933248 6991040 7290656 7738000 7923712 7974155 7989760 8176000 8270650 8666560 8738800 9113320 9263128 9344000 9497600 9904640 9987200 10586432 10833200 10923500 11185664 11391650 11578910 11872000 12075149 12380800 12484000 12758648 13081600 13233040 13541500 13568000 13866496 13982080 14581312 15476000 15948310 15979520 16352000 16541300 17333120 17477600 18226640 18526256 18688000 18995200 19809280 19974400 20676625 21172864 21666400 21847000 22371328 22783300 23157820 23744000 24150298 24761600 24968000 25517296 26163200 26466080 27083000 27732992 27964160 28479125 28947275 29162624 30952000 31896620 31959040 32704000 33082600 34666240 34955200 36453280 37052512 39618560 39870775 39948800 41353250 42345728 43332800 43694000 44742656 45566600 46315640 47488000 48300596 49523200 49936000 51034592 52932160 54166000 55465984 55928320 56958250 57894550 58325248 60375745 61904000 63793240 65408000 66165200 69332480 69910400 72906560 74105024 79741550 79897600 82706500 84526043 84691456 86665600 87388000 91133200 92631280 94976000 96601192 99046400 99872000 102069184 105864320 108332000 111856640 113916500 115789100 116650496 120751490 123808000 127586480 130816000 132330400 138664960 139820800 144736375 145813120 148210048 159483100 159795200 165413000 169052086 169382912 173331200 174776000 182266400 185262560 193202384 198092800 199353875 199744000 204138368 211728640 216664000 223713280 227833000 231578200 233300992 241502980 247616000 255172960 264660800 277329920 279641600 289472750 291626240 296420096 301878725 318966200 330826000 338104172 338765824 346662400 349552000 364532800 370525120 386404768 398707750 399488000 408276736 422630215 423457280 433328000 455666000 463156400 466601984 483005960 495232000 510345920 529321600 559283200 578945500 583252480 592840192 603757450 637932400 661652000 676208344 693324800 699104000 729065600 741050240 772809536 797415500 798976000 816553472 845260430 846914560 866656000 911332000 926312800 966011920 990464000 1020691840 1058643200 1118566400 1157891000 1166504960 1185680384 1207514900 1275864800 1323304000 1352416688 1386649600 1398208000 1458131200 1482100480 1509393625 1545619072 1594831000 1633106944 1690520860 1693829120 1733312000 1822664000 1852625600 1932023840 2041383680 2113151075 2117286400 2315782000 2333009920 2371360768 2415029800 2551729600 2646608000 2704833376 2796416000 2916262400 2964200960 3018787250 3091238144 3189662000 3266213888 3381041720 3466624000 3645328000 3705251200 3864047680 4082767360 4226302150 4234572800 4631564000 4830059600 5103459200 5293216000 5409666752 5592832000 5832524800 5928401920 6037574500 6182476288 6379324000 6762083440 6933248000 7290656000 7410502400 7728095360 8165534720 8452604300 8469145600 9263128000 9660119200 10206918400 10565755375 10586432000 10819333504 11665049600 11856803840 12075149000 12364952576 12758648000 13524166880 14581312000 14821004800 15456190720 16331069440 16905208600 18526256000 19320238400 20413836800 21131510750 21172864000 21638667008 24150298000 24729905152 25517296000 27048333760 29162624000 29642009600 30912381440 33810417200 37052512000 38640476800 40827673600 42263021500 42345728000 43277334016 48300596000 51034592000 54096667520 58325248000 59284019200 61824762880 67620834400 74105024000 77280953600 81655347200 84526043000 86554668032 96601192000 102069184000 108193335040 123649525760 135241668800 148210048000 154561907200 169052086000 173109336064 193202384000 204138368000 216386670080 270483337600 296420096000 309123814400 338104172000 386404768000 408276736000 432773340160 540966675200 618247628800 676208344000 772809536000 865546680320 1081933350400 1352416688000 1545619072000 2163866700800 2704833376000 3091238144000 4327733401600 5409666752000 10819333504000 21638667008000
- Sum of all divisors σ(n): 63756852606720
- Sum of proper divisors (its aliquot sum) s(n): 42118185598720
- 21638667008000 is an abundant number, because the sum of its proper divisors (42118185598720) is greater than itself. Its abundance is 20479518590720
Bases of 21638667008000
- Binary: 1001110101110001001010000111101111000000000002
- Hexadecimal: 0x13AE250F7800
- Base-36: 7O4NZN4ZK
Squares and roots of 21638667008000
- 21638667008000 squared (216386670080002) is 468231909883107672064000000
- 21638667008000 cubed (216386670080003) is 10131914380480431120002960064512000000000
-
The
square root of 21638667008000 is 4651738.0631329619 -
The
cube root of 21638667008000 is 27866.1412760339
Scales and comparisons
How big is 21638667008000?- 21,638,667,008,000 seconds is equal to 688,042 years, 35 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 21,638,667,008,000 would take you about one million, seven hundred twenty thousand, one hundred six 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 21638667008000 cubic inches would be around 2322.2 feet tall.
Recreational maths with 21638667008000
- 21638667008000 backwards is 00080076683612
- The number of decimal digits it has is: 14
- The sum of 21638667008000's digits is 47
- More coming soon!
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