21680842795200
21,680,842,795,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 21680842795200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1344 divisors.
21680842795200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 21680842795200:
26 × 33 × 52 × 29 × 43 × 127 × 3169
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 29 × 43 × 127 × 3169)See below for interesting mathematical facts about the number 21680842795200 from the Numbermatics database.
Names of 21680842795200
- Cardinal: 21680842795200 can be written as Twenty-one trillion, six hundred eighty billion, eight hundred forty-two million, seven hundred ninety-five thousand, two hundred.
Scientific notation
- Scientific notation: 2.16808427952 × 1013
Factors of 21680842795200
Divisors of 21680842795200
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 32 36 40 43 45 48 50 54 58 60 64 72 75 80 86 87 90 96 100 108 116 120 127 129 135 144 145 150 160 172 174 180 192 200 215 216 225 232 240 254 258 261 270 288 290 300 320 344 348 360 381 387 400 430 432 435 450 464 480 508 516 522 540 576 580 600 635 645 675 688 696 720 725 762 774 783 800 860 864 870 900 928 960 1016 1032 1044 1075 1080 1143 1160 1161 1200 1247 1270 1290 1305 1350 1376 1392 1440 1450 1524 1548 1566 1600 1720 1728 1740 1800 1856 1905 1935 2032 2064 2088 2150 2160 2175 2286 2320 2322 2400 2494 2540 2580 2610 2700 2752 2784 2880 2900 3048 3096 3132 3169 3175 3225 3429 3440 3480 3600 3683 3741 3810 3870 3915 4064 4128 4176 4300 4320 4350 4572 4640 4644 4800 4988 5080 5160 5220 5400 5461 5568 5715 5800 5805 6096 6192 6235 6264 6338 6350 6450 6525 6858 6880 6960 7200 7366 7482 7620 7740 7830 8128 8256 8352 8600 8640 8700 9144 9280 9288 9507 9525 9675 9976 10160 10320 10440 10800 10922 11049 11223 11430 11600 11610 12192 12384 12470 12528 12676 12700 12900 13050 13716 13760 13920 14400 14732 14964 15240 15480 15660 15845 16383 16704 17145 17200 17400 18288 18415 18576 18705 19014 19050 19350 19575 19952 20320 20640 20880 21600 21844 22098 22446 22860 23200 23220 24384 24768 24940 25056 25352 25400 25800 26100 27305 27432 27840 28521 28575 29025 29464 29928 30480 30960 31175 31320 31690 32766 33147 33669 34290 34400 34800 36576 36830 37152 37410 38028 38100 38700 39150 39904 40640 41280 41760 43200 43688 44196 44892 45720 46400 46440 47535 49149 49880 50112 50704 50800 51600 52200 54610 54864 55245 56115 57042 57150 58050 58928 59856 60960 61920 62350 62640 63380 65532 66294 67338 68580 68800 69600 73152 73660 74304 74820 76056 76200 77400 78300 79225 79808 81915 83520 85563 85725 87376 88392 89784 91440 91901 92075 92880 93525 95070 98298 99441 99760 101408 101600 103200 104400 109220 109728 110490 112230 114084 114300 116100 117856 119712 121920 123840 124700 125280 126760 131064 132588 134676 136267 136525 137160 139200 142605 147320 147447 149640 152112 152400 154800 156600 158369 158450 163830 165735 168345 171126 171450 174752 176784 179568 182880 183802 184150 185760 187050 190140 196596 198882 199520 202816 203200 206400 208800 218440 219456 220980 224460 228168 228600 232200 235712 237675 239424 245745 249400 250560 253520 262128 265176 269352 272534 273050 274320 275703 276225 280575 285210 294640 294894 299280 304224 304800 309600 313200 316738 316900 327660 331470 336690 342252 342900 349504 353568 359136 365760 367604 368300 371520 374100 380280 393192 397764 399040 402463 408801 409575 417600 427815 436880 441960 448920 456336 457200 459505 464400 475107 475350 491490 497205 498800 507040 524256 530352 538704 545068 546100 548640 551406 552450 561150 570420 589280 589788 598560 608448 609600 619200 626400 633476 633800 655320 662940 673380 681335 684504 685800 707136 713025 718272 735208 736600 737235 748200 760560 786384 791845 795528 804926 817602 819150 827109 828675 841725 855630 873760 883920 897840 912672 914400 919010 928800 950214 950700 982980 994410 997600 1014080 1048512 1060704 1077408 1090136 1092200 1097280 1102812 1104900 1122300 1140840 1178560 1179576 1197120 1207389 1226403 1228725 1252800 1266952 1267600 1310640 1325880 1346760 1362670 1369008 1371600 1378515 1425321 1426050 1470416 1473200 1474470 1496400 1521120 1572768 1583690 1591056 1609852 1635204 1638300 1654218 1657350 1683450 1711260 1747520 1767840 1795680 1825344 1828800 1838020 1857600 1900428 1901400 1965960 1988820 1995200 2012315 2044005 2121408 2139075 2154816 2180272 2184400 2205624 2209800 2244600 2281680 2297525 2359152 2375535 2414778 2452806 2457450 2481327 2486025 2533904 2535200 2621280 2651760 2693520 2725340 2738016 2743200 2757030 2850642 2852100 2940832 2946400 2948940 2992800 3042240 3145536 3167380 3182112 3219704 3270408 3276600 3308436 3314700 3366900 3406675 3422520 3535680 3591360 3622167 3676040 3679209 3686175 3800856 3802800 3931920 3951743 3959225 3977640 4024630 4088010 4135545 4275963 4278150 4360544 4368800 4411248 4419600 4489200 4563360 4595050 4718304 4751070 4829556 4905612 4914900 4962654 4972050 5067808 5070400 5242560 5303520 5387040 5450680 5476032 5486400 5514060 5701284 5704200 5881664 5892800 5897880 5985600 6036945 6132015 6334760 6364224 6439408 6540816 6553200 6616872 6629400 6733800 6813350 6845040 6892575 7126605 7244334 7352080 7358418 7372350 7601712 7605600 7863840 7903486 7918450 7955280 8049260 8176020 8271090 8551926 8556300 8721088 8737600 8822496 8839200 8978400 9126720 9190100 9436608 9502140 9659112 9811224 9829800 9925308 9944100 10061575 10135616 10220025 10607040 10774080 10866501 10901360 11028120 11402568 11408400 11671427 11795760 11855229 11877675 12073890 12264030 12406635 12669520 12878816 13081632 13106400 13233744 13258800 13467600 13626700 13690080 13785150 14253210 14488668 14704160 14716836 14744700 15203424 15211200 15727680 15806972 15836900 15910560 16098520 16352040 16542180 17103852 17112600 17305909 17644992 17678400 17956800 18110835 18380200 18396045 19004280 19318224 19622448 19659600 19758715 19850616 19888200 20123150 20440050 20677725 21379815 21733002 21802720 22056240 22805136 22816800 23342854 23591520 23710458 23755350 24147780 24528060 24813270 25339040 25757632 26163264 26212800 26467488 26517600 26935200 27253400 27380160 27570300 28506420 28977336 29408320 29433672 29489400 30184725 30406848 30660075 31613944 31673800 31821120 32197040 32704080 33084360 34207704 34225200 34611818 35014281 35565687 35633025 36221670 36760400 36792090 38008560 38636448 39244896 39319200 39517430 39701232 39776400 40246300 40880100 41355450 42759630 43466004 43605440 44112480 45610272 45633600 46685708 47183040 47420916 47510700 48295560 49056120 49626540 50678080 51917727 52934976 53035200 53870400 54332505 54506800 55140600 57012840 57954672 58357135 58867344 58978800 59276145 60369450 61320150 62033175 63227888 63347600 64394080 65408160 66168720 68415408 68450400 69223636 70028562 71131374 71266050 72443340 73520800 73584180 76017120 77272896 78489792 78638400 79034860 79402464 79552800 80492600 81760200 82710900 85519260 86529545 86932008 88224960 90554175 91220544 91980225 93371416 94841832 95021400 96591120 98112240 98793575 99253080 103835454 105042843 106697061 106899075 108665010 109013600 110281200 114025680 115909344 116714270 117734688 117957600 118552290 120738900 122640300 124066350 126455776 126695200 128788160 130816320 132337440 136830816 136900800 138447272 140057124 142262748 142532100 144886680 147041600 147168360 152034240 155753181 158069720 158804928 159105600 160985200 163520400 165421800 171038520 173059090 173864016 175071405 177828435 181108350 183960450 186742832 189683664 190042800 193182240 196224480 197587150 198506160 207670908 210085686 213394122 213798150 217330020 218027200 220562400 228051360 231818688 233428540 235469376 235915200 237104580 241477800 245280600 248132700 252911552 253390400 259588635 264674880 271662525 273661632 276894544 280114248 284525496 285064200 289773360 291785675 294336720 296380725 311506362 315128529 316139440 321970400 327040800 330843600 342077040 346118180 347728032 350142810 355656870 362216700 367920900 373485664 379367328 380085600 386364480 392448960 395174300 397012320 415341816 420171372 426788244 427596300 432647725 434660040 441124800 456102720 466857080 467259543 474209160 482955600 490561200 496265400 501871361 519177270 525214215 533485305 543325050 553789088 560228496 569050992 570128400 579546720 583571350 588673440 592761450 623012724 630257058 632278880 643940800 654081600 661687200 684154080 692236360 695456064 700285620 711313740 724433400 735841800 746971328 758734656 760171200 778765905 790348600 794024640 830683632 840342744 853576488 855192600 865295450 869320080 875357025 889142175 933714160 934519086 948418320 965911200 981122400 992530800 1003742722 1038354540 1050428430 1066970610 1086650100 1107578176 1120456992 1138101984 1140256800 1159093440 1167142700 1177346880 1185522900 1246025448 1260514116 1264557760 1297943175 1323374400 1368308160 1384472720 1400571240 1422627480 1448866800 1471683600 1505614083 1557531810 1575642645 1580697200 1661367264 1680685488 1707152976 1710385200 1730590900 1738640160 1750714050 1778284350 1867428320 1869038172 1896836640 1931822400 1962244800 1985061600 2007485444 2076709080 2100856860 2133941220 2173300200 2240913984 2276203968 2280513600 2334285400 2336297715 2371045800 2492050896 2509356805 2521028232 2595886350 2626071075 2667426525 2768945440 2801142480 2845254960 2897733600 2943367200 3011228166 3115063620 3151285290 3161394400 3322734528 3361370976 3414305952 3420770400 3461181800 3477280320 3501428100 3556568700 3734856640 3738076344 3793673280 3893829525 3970123200 4014970888 4153418160 4201713720 4267882440 4346600400 4516842249 4668570800 4672595430 4742091600 4984101792 5018713610 5042056464 5191772700 5252142150 5334853050 5537890880 5602284960 5690509920 5795467200 5886734400 6022456332 6230127240 6302570580 6322788800 6722741952 6828611904 6841540800 6922363600 7002856200 7113137400 7476152688 7528070415 7787659050 7878213225 8029941776 8306836320 8403427440 8535764880 8693200800 9033684498 9337141600 9345190860 9484183200 9968203584 10037427220 10084112928 10383545400 10504284300 10669706100 11204569920 11381019840 11681488575 12044912664 12460254480 12546784025 12605141160 13550526747 13844727200 14005712400 14226274800 14952305376 15056140830 15575318100 15756426450 16059883552 16613672640 16806854880 17071529760 17386401600 18067368996 18674283200 18690381720 18968366400 20074854440 20168225856 20767090800 21008568600 21339412200 22584211245 23362977150 24089825328 24920508960 25093568050 25210282320 27101053494 27689454400 28011424800 28452549600 29904610752 30112281660 31150636200 31512852900 32119767104 33613709760 34143059520 36134737992 37380763440 37640352075 40149708880 41534181600 42017137200 42678824400 45168422490 46725954300 48179650656 49841017920 50187136100 50420564640 54202106988 56022849600 56905099200 60224563320 62301272400 63025705800 67752633735 72269475984 74761526880 75280704150 80299417760 83068363200 84034274400 85357648800 90336844980 93451908600 96359301312 100374272200 100841129280 108404213976 112921056225 120449126640 124602544800 126051411600 135505267470 144538951968 149523053760 150561408300 160598835520 168068548800 170715297600 180673689960 186903817200 200748544400 216808427952 225842112450 240898253280 249205089600 252102823200 271010534940 289077903936 301122816600 338763168675 361347379920 373807634400 401497088800 433616855904 451684224900 481796506560 504205646400 542021069880 602245633200 677526337350 722694759840 747615268800 802994177600 867233711808 903368449800 1084042139760 1204491266400 1355052674700 1445389519680 1806736899600 2168084279520 2408982532800 2710105349400 3613473799200 4336168559040 5420210698800 7226947598400 10840421397600 21680842795200
- Sum of all divisors σ(n): 84346791936000
- Sum of proper divisors (its aliquot sum) s(n): 62665949140800
- 21680842795200 is an abundant number, because the sum of its proper divisors (62665949140800) is greater than itself. Its abundance is 40985106345600
Bases of 21680842795200
- Binary: 1001110110111111101101110111011101000110000002
- Hexadecimal: 0x13B7F6EEE8C0
- Base-36: 7OO1I0MO0
Squares and roots of 21680842795200
- 21680842795200 squared (216808427952002) is 470058944310175749143040000
- 21680842795200 cubed (216808427952003) is 10191274076066591924853641358225408000000
-
The
square root of 21680842795200 is 4656269.1927335989 -
The
cube root of 21680842795200 is 27884.2340987149
Scales and comparisons
How big is 21680842795200?- 21,680,842,795,200 seconds is equal to 689,383 years, 38 weeks, 2 days, 12 hours.
-
To count from 1 to 21,680,842,795,200 would take you about one million, seven hundred twenty-three thousand, four hundred fifty-nine 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 21680842795200 cubic inches would be around 2323.7 feet tall.
Recreational maths with 21680842795200
- 21680842795200 backwards is 00259724808612
- 21680842795200 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 21680842795200's digits is 54
- More coming soon!
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The information we have on file for 21680842795200 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!
Keywords: Divisors of 21680842795200, math, Factors of 21680842795200, curriculum, school, college, exams, university, Prime factorization of 21680842795200, STEM, science, technology, engineering, physics, economics, calculator, twenty-one trillion, six hundred eighty billion, eight hundred forty-two million, seven hundred ninety-five thousand, two hundred.