21316612864000
21,316,612,864,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 21316612864000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
21316612864000 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 21316612864000:
211 × 53 × 29 × 37 × 71 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 29 × 37 × 71 × 1093)See below for interesting mathematical facts about the number 21316612864000 from the Numbermatics database.
Names of 21316612864000
- Cardinal: 21316612864000 can be written as Twenty-one trillion, three hundred sixteen billion, six hundred twelve million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 2.1316612864 × 1013
Factors of 21316612864000
Divisors of 21316612864000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 29 32 37 40 50 58 64 71 74 80 100 116 125 128 142 145 148 160 185 200 232 250 256 284 290 296 320 355 370 400 464 500 512 568 580 592 640 710 725 740 800 925 928 1000 1024 1073 1093 1136 1160 1184 1280 1420 1450 1480 1600 1775 1850 1856 2000 2048 2059 2146 2186 2272 2320 2368 2560 2627 2840 2900 2960 3200 3550 3625 3700 3712 4000 4118 4292 4372 4544 4625 4640 4736 5120 5254 5365 5465 5680 5800 5920 6400 7100 7250 7400 7424 8000 8236 8584 8744 8875 9088 9250 9280 9472 10240 10295 10508 10730 10930 11360 11600 11840 12800 13135 14200 14500 14800 14848 16000 16472 17168 17488 17750 18176 18500 18560 18944 20590 21016 21460 21860 22720 23200 23680 25600 26270 26825 27325 28400 29000 29600 29696 31697 32000 32944 34336 34976 35500 36352 37000 37120 37888 40441 41180 42032 42920 43720 45440 46400 47360 51200 51475 52540 53650 54650 56800 58000 59200 59392 63394 64000 65675 65888 68672 69952 71000 72704 74000 74240 75776 76183 77603 80882 82360 84064 85840 87440 90880 92800 94720 102950 105080 107300 109300 113600 116000 118400 126788 128000 131350 131776 134125 136625 137344 139904 142000 145408 148000 148480 152366 155206 158485 161764 164720 168128 171680 174880 181760 185600 189440 202205 205900 210160 214600 218600 227200 232000 236800 253576 256000 257375 262700 263552 268250 273250 274688 279808 284000 296000 296960 304732 310412 316970 323528 328375 329440 336256 343360 349760 363520 371200 378880 380915 388015 404410 411800 420320 429200 437200 454400 464000 473600 507152 514750 525400 527104 536500 546500 549376 559616 568000 592000 609464 620824 633940 647056 656750 658880 672512 686720 699520 727040 742400 761830 776030 792425 808820 823600 840640 858400 874400 908800 928000 947200 1011025 1014304 1029500 1050800 1054208 1073000 1093000 1098752 1119232 1136000 1172789 1184000 1218928 1241648 1267880 1294112 1313500 1317760 1345024 1373440 1399040 1484800 1523660 1552060 1584850 1617640 1647200 1681280 1716800 1748800 1817600 1856000 1894400 1904575 1940075 2022050 2028608 2059000 2101600 2108416 2146000 2186000 2197504 2238464 2250487 2272000 2345578 2368000 2437856 2483296 2535760 2588224 2627000 2635520 2690048 2746880 2798080 2871311 3047320 3104120 3169700 3235280 3294400 3362560 3433600 3497600 3635200 3712000 3809150 3880150 3962125 4044100 4057216 4118000 4203200 4216832 4292000 4372000 4500974 4544000 4691156 4736000 4875712 4966592 5055125 5071520 5176448 5254000 5271040 5380096 5493760 5596160 5742622 5863945 6094640 6208240 6339400 6470560 6588800 6725120 6867200 6995200 7424000 7618300 7760300 7924250 8088200 8114432 8236000 8406400 8584000 8744000 9001948 9088000 9382312 9472000 9522875 9700375 9751424 9933184 10110250 10143040 10352896 10508000 10542080 10987520 11192320 11252435 11485244 11727890 12189280 12416480 12678800 12941120 13177600 13450240 13734400 13990400 14356555 15236600 15520600 15848500 16176400 16228864 16472000 16812800 17168000 17488000 18003896 18176000 18764624 19045750 19400750 19502848 19866368 20220500 20286080 20705792 21016000 21084160 22504870 22970488 23455780 24378560 24832960 25357600 25882240 26355200 26900480 27468800 27980800 28713110 29319725 30473200 31041200 31697000 32352800 32457728 32944000 33625600 34336000 34976000 36007792 37529248 38091500 38801500 39005696 39732736 40441000 40572160 41411584 42032000 45009740 45940976 46911560 48757120 49665920 50715200 51764480 52710400 54937600 55961600 56262175 57426220 58639450 60946400 62082400 63394000 64705600 64915456 65888000 67251200 68672000 69952000 71782775 72015584 75058496 76183000 77603000 78011392 79465472 80882000 81144320 82823168 83268019 84064000 90019480 91881952 93823120 97514240 99331840 101430400 103528960 105420800 112524350 114852440 117278900 121892800 124164800 126788000 129411200 131776000 134502400 137344000 139904000 143565550 144031168 146598625 150116992 152366000 155206000 156022784 158930944 161764000 162288640 166536038 168128000 180038960 183763904 187646240 195028480 198663680 202860800 207057920 225048700 229704880 234557800 243785600 248329600 253576000 258822400 263552000 274688000 279808000 281310875 287131100 288062336 293197250 300233984 304732000 310412000 323528000 324577280 333072076 336256000 358913875 360077920 367527808 375292480 390056960 397327360 405721600 414115840 416340095 450097400 459409760 469115600 487571200 496659200 507152000 517644800 527104000 562621750 574262200 576124672 586394500 600467968 609464000 620824000 647056000 666144152 672512000 717827750 720155840 735055616 750584960 780113920 794654720 811443200 832680190 900194800 918819520 938231200 975142400 993318400 1014304000 1035289600 1125243500 1148524400 1152249344 1172789000 1200935936 1218928000 1241648000 1294112000 1332288304 1435655500 1440311680 1470111232 1501169920 1622886400 1665360380 1800389600 1837639040 1876462400 1950284800 1986636800 2028608000 2070579200 2081700475 2250487000 2297048800 2304498688 2345578000 2401871872 2437856000 2483296000 2588224000 2664576608 2871311000 2880623360 2940222464 3002339840 3330720760 3600779200 3675278080 3752924800 3900569600 3973273600 4057216000 4163400950 4500974000 4594097600 4608997376 4691156000 4875712000 4966592000 5176448000 5329153216 5742622000 5761246720 5880444928 6004679680 6661441520 7201558400 7350556160 7505849600 8114432000 8326801900 9001948000 9188195200 9382312000 9751424000 9933184000 10352896000 10408502375 10658306432 11485244000 11522493440 12009359360 13322883040 14403116800 14701112320 15011699200 16653603800 18003896000 18376390400 18764624000 19502848000 19866368000 20817004750 21316612864 22970488000 23044986880 26645766080 28806233600 29402224640 30023398400 33307207600 36007792000 36752780800 37529248000 41634009500 42633225728 45940976000 53291532160 57612467200 60046796800 66614415200 72015584000 73505561600 75058496000 83268019000 85266451456 91881952000 106583064320 115224934400 133228830400 144031168000 147011123200 150116992000 166536038000 170532902912 183763904000 213166128640 266457660800 288062336000 300233984000 333072076000 367527808000 426332257280 532915321600 576124672000 666144152000 735055616000 852664514560 1065830643200 1332288304000 2131661286400 2664576608000 4263322572800 5329153216000 10658306432000 21316612864000
- Sum of all divisors σ(n): 57363174086400
- Sum of proper divisors (its aliquot sum) s(n): 36046561222400
- 21316612864000 is an abundant number, because the sum of its proper divisors (36046561222400) is greater than itself. Its abundance is 14729948358400
Bases of 21316612864000
- Binary: 1001101100011001010010010001100111000000000002
- Hexadecimal: 0x136329233800
- Base-36: 7K0PSX534
Squares and roots of 21316612864000
- 21316612864000 squared (213166128640002) is 454397983993650282496000000
- 21316612864000 cubed (213166128640003) is 9686225910974711706171467628544000000000
-
The
square root of 21316612864000 is 4616991.7548117843 -
The
cube root of 21316612864000 is 27727.2032514719
Scales and comparisons
How big is 21316612864000?- 21,316,612,864,000 seconds is equal to 677,802 years, 18 weeks, 2 days, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 21,316,612,864,000 would take you about one million, six hundred ninety-four thousand, five hundred five 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 21316612864000 cubic inches would be around 2310.6 feet tall.
Recreational maths with 21316612864000
- 21316612864000 backwards is 00046821661312
- 21316612864000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 21316612864000's digits is 40
- More coming soon!
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