12988768512000
12,988,768,512,000 is an even composite number composed of seven prime numbers multiplied together.
12988768512000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 12988768512000:
211 × 3 × 53 × 41 × 43 × 53 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 41 × 43 × 53 × 181)See below for interesting mathematical facts about the number 12988768512000 from the Numbermatics database.
Names of 12988768512000
- Cardinal: 12988768512000 can be written as Twelve trillion, nine hundred eighty-eight billion, seven hundred sixty-eight million, five hundred twelve thousand.
Scientific notation
- Scientific notation: 1.2988768512 × 1013
Factors of 12988768512000
Divisors of 12988768512000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 41 43 48 50 53 60 64 75 80 82 86 96 100 106 120 123 125 128 129 150 159 160 164 172 181 192 200 205 212 215 240 246 250 256 258 265 300 318 320 328 344 362 375 384 400 410 424 430 480 492 500 512 516 530 543 600 615 636 640 645 656 688 724 750 768 795 800 820 848 860 905 960 984 1000 1024 1025 1032 1060 1075 1086 1200 1230 1272 1280 1290 1312 1325 1376 1448 1500 1536 1590 1600 1640 1696 1720 1763 1810 1920 1968 2000 2048 2050 2064 2120 2150 2172 2173 2279 2400 2460 2544 2560 2580 2624 2650 2715 2752 2896 3000 3072 3075 3180 3200 3225 3280 3392 3440 3526 3620 3840 3936 3975 4000 4100 4128 4240 4300 4344 4346 4525 4558 4800 4920 5088 5120 5125 5160 5248 5289 5300 5375 5430 5504 5792 6000 6144 6150 6360 6400 6450 6519 6560 6625 6784 6837 6880 7052 7240 7421 7680 7783 7872 7950 8000 8200 8256 8480 8600 8688 8692 8815 9050 9116 9593 9600 9840 10176 10240 10250 10320 10496 10578 10600 10750 10860 10865 11008 11395 11584 12000 12300 12720 12800 12900 13038 13120 13250 13568 13575 13674 13760 14104 14480 14842 15360 15375 15566 15744 15900 16000 16125 16400 16512 16960 17200 17376 17384 17630 18100 18232 19186 19200 19680 19875 20352 20500 20640 20992 21156 21200 21500 21720 21730 22016 22263 22625 22790 23168 23349 24000 24600 25440 25600 25800 26076 26240 26445 26500 27136 27150 27348 27520 28208 28779 28960 29684 30720 30750 31132 31488 31800 32000 32250 32595 32800 33024 33920 34185 34400 34752 34768 35260 36200 36464 37105 38372 38400 38915 39360 39750 40704 41000 41280 41984 42312 42400 43000 43440 43460 44032 44075 44526 45250 45580 46336 46698 47965 48000 49200 50880 51200 51600 52152 52480 52890 53000 54272 54300 54325 54696 55040 56416 56975 57558 57920 59368 61500 62264 62976 63600 64000 64500 65190 65600 66048 67840 67875 68370 68800 69504 69536 70520 72400 72928 74210 76744 76800 77830 78720 79500 81408 82000 82560 83968 84624 84800 86000 86880 86920 88064 88150 89052 90500 91160 92672 93396 93439 95930 96000 98400 101760 103200 104304 104960 105780 106000 108544 108600 108650 109392 110080 111315 112832 113950 115116 115840 116745 118736 123000 124528 125952 127200 128000 129000 130380 131200 132096 132225 135680 135750 136740 137600 139008 139072 141040 143895 144800 145856 148420 153488 153600 155660 157440 159000 162816 162975 164000 165120 169248 169600 170925 172000 173760 173840 176300 178104 181000 182320 185344 185525 186792 186878 191860 192000 194575 196800 203520 206400 208608 209920 211560 212000 217200 217300 218784 220160 220375 222630 225664 227900 230232 231680 233490 237472 239825 246000 249056 251904 254400 256000 258000 260760 262400 264192 264450 271360 271500 271625 273480 275200 278016 278144 280317 282080 284875 287790 289600 291712 296840 306976 311320 314880 318000 319103 325632 325950 328000 330240 338496 339200 341850 344000 347520 347680 352600 356208 362000 364640 370688 371050 373584 373756 383720 384000 389150 393313 393600 407040 412499 412800 417216 419840 423120 424000 434400 434600 437568 440320 440750 445260 451328 455800 460464 463360 466980 467195 474944 479650 492000 498112 508800 516000 521520 524800 528900 542720 543000 543250 546960 550400 556032 556288 556575 560634 564160 569750 575580 579200 583424 583725 593680 613952 622640 629760 636000 638206 651900 656000 660480 661125 676992 678400 683700 688000 695040 695360 705200 712416 719475 724000 729280 742100 747168 747512 767440 768000 778300 786626 787200 814080 814875 824998 825600 834432 846240 848000 854625 868800 869200 875136 881500 890520 902656 911600 920928 926720 927625 933960 934390 949888 957309 959300 972875 984000 996224 1017600 1032000 1043040 1049600 1057800 1086000 1086500 1093920 1100800 1112064 1112576 1113150 1121268 1128320 1139500 1151160 1158400 1166848 1167450 1179939 1187360 1199125 1227904 1237497 1245280 1259520 1272000 1276412 1303800 1312000 1320960 1322250 1353984 1356800 1367400 1376000 1390080 1390720 1401585 1410400 1424832 1438950 1448000 1458560 1484200 1494336 1495024 1534880 1556600 1573252 1574400 1595515 1628160 1629750 1649996 1651200 1668864 1692480 1696000 1709250 1737600 1738400 1750272 1763000 1781040 1805312 1823200 1841856 1853440 1855250 1867920 1868780 1899776 1914618 1918600 1945750 1966565 1968000 1992448 2035200 2062495 2064000 2086080 2099200 2115600 2172000 2173000 2187840 2201600 2225152 2226300 2242536 2256640 2279000 2302320 2316800 2333696 2334900 2335975 2359878 2374720 2398250 2455808 2474994 2490560 2544000 2552824 2607600 2624000 2644500 2707968 2713600 2734800 2752000 2780160 2781440 2782875 2803170 2820800 2849664 2877900 2896000 2917120 2918625 2968400 2988672 2990048 3069760 3113200 3146504 3148800 3191030 3259500 3299992 3302400 3337728 3384960 3392000 3418500 3475200 3476800 3500544 3526000 3562080 3597375 3610624 3646400 3683712 3710500 3735840 3737560 3799552 3829236 3837200 3891500 3933130 3936000 3984896 4070400 4124990 4128000 4172160 4231200 4344000 4346000 4375680 4450304 4452600 4485072 4513280 4558000 4604640 4633600 4667392 4669800 4671950 4719756 4749440 4786545 4796500 4911616 4949988 4981120 5088000 5105648 5215200 5248000 5289000 5415936 5469600 5504000 5560320 5562880 5565750 5606340 5641600 5699328 5755800 5792000 5834240 5837250 5899695 5936800 5977344 5980096 6139520 6187485 6226400 6293008 6297600 6382060 6519000 6599984 6604800 6675456 6769920 6784000 6837000 6950400 6953600 7001088 7007925 7052000 7124160 7194750 7292800 7367424 7421000 7471680 7475120 7599104 7658472 7674400 7783000 7866260 7872000 7969792 7977575 8140800 8249980 8256000 8344320 8462400 8688000 8692000 8751360 8905200 8970144 9026560 9116000 9209280 9267200 9339600 9343900 9439512 9498880 9573090 9593000 9823232 9832825 9899976 9962240 10176000 10211296 10312475 10430400 10496000 10578000 10831872 10939200 11008000 11125760 11131500 11212680 11283200 11398656 11511600 11584000 11668480 11674500 11679875 11799390 11873600 11954688 11960192 12279040 12374970 12452800 12586016 12764120 13038000 13199968 13350912 13539840 13568000 13674000 13900800 13907200 14002176 14015850 14104000 14248320 14389500 14585600 14734848 14842000 14943360 14950240 15198208 15316944 15348800 15566000 15732520 15744000 15939584 15955150 16499960 16512000 16688640 16912459 16924800 17376000 17384000 17502720 17810400 17940288 18053120 18232000 18418560 18679200 18687800 18879024 18997760 19146180 19186000 19646464 19665650 19799952 19924480 20352000 20422592 20624950 20860800 21156000 21878400 22251520 22263000 22425360 22566400 22797312 23023200 23168000 23336960 23349000 23359750 23598780 23747200 23909376 23920384 23932725 24558080 24749940 24905600 25172032 25528240 26076000 26399936 27079680 27348000 27801600 27814400 28031700 28208000 28496640 28779000 29171200 29469696 29498475 29684000 29886720 29900480 30633888 30697600 30937425 31132000 31465040 31488000 31910300 32999920 33024000 33377280 33824918 33849600 34752000 34768000 35005440 35039625 35620800 35880576 36464000 36837120 37358400 37375600 37758048 37995520 38292360 38372000 39331300 39599904 39848960 39887875 40704000 40845184 41249900 41721600 42312000 43756800 44526000 44850720 45132800 45594624 46046400 46336000 46698000 46719500 47197560 47494400 47818752 47840768 47865450 49116160 49164125 49499880 49811200 50344064 50737377 51056480 51562375 52152000 52799872 54159360 54696000 55628800 56063400 56416000 56993280 57558000 58342400 58939392 58996950 59368000 59773440 59800960 61267776 61395200 61874850 62264000 62930080 63820600 65999840 66754560 67649836 67699200 69504000 69536000 70010880 70079250 71241600 71761152 72928000 73674240 74716800 74751200 75516096 75991040 76584720 76744000 78662600 79199808 79697920 79775750 81690368 82499800 83443200 84562295 84624000 87513600 89052000 89701440 90265600 92092800 93396000 93439000 94395120 94988800 95681536 95730900 98232320 98328250 98999760 99622400 100688128 101474754 102112960 103124750 104304000 105599744 109392000 111257600 112126800 112832000 113986560 115116000 116684800 117993900 118736000 119546880 119601920 119663625 122535552 122790400 123749700 124528000 125860160 127641200 131999680 135299672 135398400 139008000 139072000 140158500 142483200 143522304 145856000 147348480 147492375 149433600 149502400 151032192 153169440 153488000 154687125 157325200 158399616 159551500 163380736 164999600 166886400 169124590 169248000 175027200 178104000 179402880 184185600 186792000 186878000 188790240 189977600 191363072 191461800 196656500 197999520 199244800 201376256 202949508 204225920 206249500 208608000 211199488 218784000 224253600 225664000 227973120 230232000 235987800 237472000 239093760 239203840 239327250 245071104 245580800 247499400 249056000 251720320 253686885 255282400 263999360 270599344 270796800 278144000 280317000 284966400 287044608 291712000 294696960 294984750 298867200 299004800 302064384 306338880 306976000 309374250 314650400 316799232 319103000 326761472 329999200 333772800 338249180 338496000 350054400 356208000 358805760 368371200 373584000 373756000 377580480 379955200 382923600 393313000 395999040 398489600 402752512 405899016 408451840 412499000 417216000 422398976 422811475 437568000 448507200 451328000 460464000 471975600 474944000 478407680 478654500 490142208 491161600 494998800 498112000 503440640 507373770 510564800 527998720 541198688 556288000 560634000 569932800 574089216 583424000 589969500 597734400 598009600 604128768 612677760 613952000 618748500 629300800 633598464 638206000 653522944 659998400 676498360 676992000 712416000 717611520 736742400 747168000 747512000 755160960 765847200 786626000 791998080 805505024 811798032 816903680 824998000 834432000 844797952 845622950 875136000 897014400 920928000 943951200 949888000 956815360 957309000 980284416 989997600 996224000 1006881280 1014747540 1021129600 1055997440 1082397376 1121268000 1139865600 1179939000 1195468800 1196019200 1208257536 1225355520 1227904000 1237497000 1258601600 1267196928 1268434425 1276412000 1319996800 1352996720 1353984000 1424832000 1435223040 1473484800 1494336000 1495024000 1510321920 1531694400 1573252000 1583996160 1623596064 1633807360 1649996000 1668864000 1691245900 1750272000 1794028800 1841856000 1887902400 1899776000 1914618000 1960568832 1979995200 1992448000 2013762560 2029495080 2042259200 2111994880 2114057375 2164794752 2242536000 2359878000 2392038400 2416515072 2450711040 2455808000 2474994000 2517203200 2534393856 2536868850 2552824000 2639993600 2705993440 2849664000 2870446080 2988672000 2990048000 3020643840 3063388800 3146504000 3167992320 3247192128 3267614720 3299992000 3382491800 3588057600 3683712000 3775804800 3829236000 3959990400 4027525120 4058990160 4084518400 4223989760 4228114750 4329589504 4485072000 4719756000 4784076800 4901422080 4949988000 5034406400 5073737700 5105648000 5279987200 5411986880 5699328000 5977344000 5980096000 6041287680 6126777600 6293008000 6335984640 6342172125 6494384256 6599984000 6764983600 7176115200 7367424000 7551609600 7658472000 7919980800 8117980320 8169036800 8456229500 8659179008 8970144000 9439512000 9802844160 9899976000 10068812800 10147475400 10211296000 10559974400 10823973760 11960192000 12082575360 12253555200 12586016000 12671969280 12684344250 12988768512 13199968000 13529967200 14352230400 15103219200 15316944000 15839961600 16235960640 16338073600 16912459000 17318358016 17940288000 18879024000 19799952000 20137625600 20294950800 20422592000 21119948800 21647947520 23920384000 24507110400 25172032000 25368688500 25977537024 26399936000 27059934400 30206438400 30633888000 31679923200 32471921280 33824918000 34636716032 35880576000 37758048000 39599904000 40589901600 40845184000 43295895040 49014220800 50344064000 50737377000 51955074048 52799872000 54119868800 60412876800 61267776000 63359846400 64943842560 67649836000 71761152000 75516096000 79199808000 81179803200 81690368000 86591790080 100688128000 101474754000 103910148096 105599744000 108239737600 122535552000 129887685120 135299672000 151032192000 158399616000 162359606400 173183580160 202949508000 216479475200 245071104000 259775370240 270599344000 302064384000 316799232000 324719212800 405899016000 432958950400 519550740480 541198688000 649438425600 811798032000 865917900800 1082397376000 1298876851200 1623596064000 2164794752000 2597753702400 3247192128000 4329589504000 6494384256000 12988768512000
- Sum of all divisors σ(n): 46409363320320
- Sum of proper divisors (its aliquot sum) s(n): 33420594808320
- 12988768512000 is an abundant number, because the sum of its proper divisors (33420594808320) is greater than itself. Its abundance is 20431826296320
Bases of 12988768512000
- Binary: 101111010000001011101110111011101000000000002
- Hexadecimal: 0xBD02EEEE800
- Base-36: 4LQYHETXC
Squares and roots of 12988768512000
- 12988768512000 squared (129887685120002) is 168708107458322694144000000
- 12988768512000 cubed (129887685120003) is 2191310553873774162032593993728000000000
-
The
square root of 12988768512000 is 3603993.4117586841 -
The
cube root of 12988768512000 is 23506.5733909451
Scales and comparisons
How big is 12988768512000?- 12,988,768,512,000 seconds is equal to 413,002 years, 34 weeks, 2 days, 21 hours, 20 minutes.
-
To count from 1 to 12,988,768,512,000 would take you about one million, thirty-two thousand, five 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 12988768512000 cubic inches would be around 1958.9 feet tall.
Recreational maths with 12988768512000
- 12988768512000 backwards is 00021586788921
- The number of decimal digits it has is: 14
- The sum of 12988768512000's digits is 57
- More coming soon!
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The information we have on file for 12988768512000 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 12988768512000, math, Factors of 12988768512000, curriculum, school, college, exams, university, Prime factorization of 12988768512000, STEM, science, technology, engineering, physics, economics, calculator, twelve trillion, nine hundred eighty-eight billion, seven hundred sixty-eight million, five hundred twelve thousand.