13714389349824800
13,714,389,349,824,800 is an even composite number composed of six prime numbers multiplied together.
13714389349824800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred fifty-eight divisors.
Prime factorization of 13714389349824800:
25 × 52 × 72 × 132 × 1732 × 2632
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 13 × 13 × 173 × 173 × 263 × 263)See below for interesting mathematical facts about the number 13714389349824800 from the Numbermatics database.
Names of 13714389349824800
- Cardinal: 13714389349824800 can be written as Thirteen quadrillion, seven hundred fourteen trillion, three hundred eighty-nine billion, three hundred forty-nine million, eight hundred twenty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.37143893498248 × 1016
Factors of 13714389349824800
Divisors of 13714389349824800
- Number of divisors d(n): 1458
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 65 70 80 91 98 100 104 112 130 140 160 169 173 175 182 196 200 208 224 245 260 263 280 325 338 346 350 364 392 400 416 455 490 520 526 560 637 650 676 692 700 728 784 800 845 865 910 980 1040 1052 1120 1183 1211 1225 1274 1300 1315 1352 1384 1400 1456 1568 1690 1730 1820 1841 1960 2080 2104 2249 2275 2366 2422 2450 2548 2600 2630 2704 2768 2800 2912 3185 3380 3419 3460 3640 3682 3920 4208 4225 4325 4498 4550 4732 4844 4900 5096 5200 5260 5408 5536 5600 5915 6055 6370 6575 6760 6838 6920 7280 7364 7840 8281 8416 8450 8477 8650 8996 9100 9205 9464 9688 9800 10192 10400 10520 11245 11830 12110 12740 12887 13150 13520 13676 13840 14560 14728 15743 15925 16562 16900 16954 17095 17300 17992 18200 18410 18928 19376 19600 20384 21040 22490 23660 23933 24220 25480 25774 26300 27040 27352 27680 29237 29456 29575 29929 30275 31486 31850 33124 33800 33908 34190 34600 35984 36400 36820 37856 38752 39200 41405 42080 42385 44447 44980 45499 46025 47320 47866 48440 50960 51548 52600 54704 56225 58474 58912 59150 59858 60550 62972 63700 64435 66248 67600 67816 68380 69169 69200 71968 72800 73640 78715 82810 84770 85475 88894 89960 90998 92050 94640 95732 96880 101920 103096 105200 109408 110201 112450 116948 118300 119665 119716 121100 125944 127400 128870 132496 135200 135632 136760 138338 138400 146185 147280 149645 157430 165620 167531 169540 170950 177788 179920 181996 184100 189280 191464 193760 204659 206192 207025 209503 210400 211925 220402 222235 224900 227495 233896 236600 239330 239432 242200 251888 254800 257740 264992 271264 273520 276676 292370 294560 299290 311129 314860 318493 322175 331240 335062 339080 341900 345845 355576 359840 363992 368200 382928 389077 393575 409318 412384 414050 419006 423850 440804 444470 449800 454990 467792 473200 478660 478864 484183 484400 503776 509600 515480 547040 551005 553352 584740 591487 598325 598580 622258 629720 636986 644350 662480 670124 678160 683800 691690 711152 727984 730925 736400 748225 765856 778154 787150 818636 828100 837655 838012 847700 881608 888940 899197 899600 909980 935584 946400 957320 957728 968366 968800 1023295 1030960 1047515 1102010 1106704 1111175 1137475 1169480 1182974 1196650 1197160 1244516 1259440 1273972 1288700 1324960 1340248 1356320 1367600 1383380 1422304 1432613 1455968 1461850 1466521 1472800 1496450 1555645 1556308 1574300 1592465 1637272 1656200 1675310 1676024 1695400 1729225 1763216 1777880 1798394 1799200 1819960 1914640 1936732 1945385 2046590 2061920 2095030 2177903 2204020 2213408 2222350 2229451 2274950 2338960 2365948 2393300 2394320 2420915 2489032 2518880 2547944 2577400 2680496 2723539 2735200 2755025 2766760 2865226 2923700 2933042 2957435 2992900 3111290 3112616 3148600 3184930 3274544 3312400 3350620 3352048 3389281 3390800 3458450 3526432 3555760 3596788 3639920 3829280 3873464 3890770 4093180 4140409 4188275 4190060 4355806 4408040 4444700 4458902 4495985 4549900 4677920 4731896 4786600 4788640 4841830 4978064 5058001 5095888 5116475 5154800 5237575 5360992 5447078 5510050 5533520 5730452 5847400 5866084 5914870 5985800 6222580 6225232 6294379 6297200 6369860 6549088 6624800 6701240 6704096 6778562 6781600 6916900 7111520 7163065 7193576 7279840 7332605 7689331 7746928 7778225 7781540 7871327 7962325 8186360 8280818 8376550 8380120 8711612 8816080 8889400 8917804 8991970 9099800 9463792 9573200 9683660 9726925 9956128 10116002 10191776 10232950 10309600 10475150 10889515 10894156 11020100 11067040 11147255 11460904 11689561 11694800 11732168 11829740 11966237 11971600 12104575 12445160 12450464 12588758 12594400 12739720 13402480 13557124 13617695 13833800 14326130 14387152 14665210 14787175 15378662 15493856 15556450 15563080 15742654 15924650 16372720 16561636 16753100 16760240 16946405 17423224 17632160 17778800 17835608 17983940 18199600 18927584 19064773 19146400 19367320 19453850 20232004 20465900 20702045 20950300 21779030 21788312 22040200 22294510 22479925 22921808 23379122 23389600 23464336 23659480 23932474 23943200 24209150 24890320 25177516 25290005 25479440 26804960 27114248 27235390 27667600 28652260 28774304 28982863 29330420 29574350 30757324 31112900 31126160 31471895 31485308 31849300 32745440 33123272 33506200 33520480 33892810 34846448 35406007 35557600 35671216 35815325 35967880 36399200 36663025 38129546 38446655 38734640 38907700 39356635 40464008 40931800 41404090 41900600 43558060 43576624 44060653 44080400 44589020 44959850 45843616 46758244 46928672 47318960 47864948 48418300 49780640 50355032 50580010 50958880 53825317 54228496 54447575 54470780 55099289 55335200 55736275 57304520 57965726 58447805 58660840 59148700 59831185 61514648 62225800 62252320 62943790 62970616 63698600 66246544 67012400 67785620 68088475 69692896 70812014 71342432 71630650 71935760 73326050 76259092 76893310 77469280 77815400 78713270 80928016 81826927 81863600 82808180 83763659 83801200 84732025 87116120 87153248 88121306 88160800 89178040 89919700 93516488 94637920 95323865 95729896 96836600 100710064 101160020 102327251 103510225 107650634 108456992 108895150 108941560 110198578 111472550 114609040 115931452 116895610 117321680 118297400 119662370 123029296 124451600 125887580 125941232 126450025 127397200 132493088 134024800 135571240 136176950 141624028 143261300 143871520 144914315 146652100 152518184 153786620 155561081 155630800 157359475 157426540 161856032 163653854 163727200 165616360 167527318 167602400 169464050 174232240 176242612 177030035 178356080 179839400 187032976 190647730 191459792 192233275 193673200 196783175 201420128 202320040 204654502 207020450 215301268 217790300 217883120 220303265 220397156 222945100 229218080 231862904 233791220 234643360 236594800 239324740 246058592 247842049 248903200 251775160 251882464 252900050 254794400 269126585 271142480 272353900 275496445 283248056 286522600 289828630 292239025 293304200 299155925 305036368 307573240 311122162 311261600 314718950 314853080 327307708 331232720 335054636 338928100 348464480 352485224 354060070 356712160 359678800 374065952 376777219 381295460 382919584 384466550 385695023 387346400 393566350 404640080 409134635 409309004 414040900 418818295 430602536 435580600 435766240 440606530 440794312 445890200 463725808 467582440 473189600 476619325 478649480 495684098 503550320 505800100 511636255 538253170 542284960 544707800 550992890 566496112 572788489 573045200 579657260 584478050 586345613 586608400 598311850 610072736 615146480 622244324 629437900 629706160 654615416 662465440 670109272 677856200 704970448 708120140 716290757 719357600 724571575 753554438 762590920 768933100 771390046 777805405 787132700 809280160 818269270 818618008 828081800 837636590 861205072 871161200 881213060 881588624 885150175 891780400 927451616 935164880 953238650 957298960 991368196 1007100640 1011600200 1023272510 1076506340 1088927567 1089415600 1101516325 1101985780 1132992224 1145576978 1146090400 1159314520 1168956100 1172691226 1173216800 1196623700 1230292960 1239210245 1244488648 1258875800 1259412320 1309230832 1330254263 1340218544 1345632925 1355712400 1377482225 1409940896 1416240280 1432581514 1449143150 1507108876 1525181840 1537866200 1542780092 1555610810 1574265400 1636538540 1637236016 1656163600 1675273180 1722410144 1742322400 1762426120 1763177248 1770300350 1783560800 1870329760 1883886095 1906477300 1914597920 1928475115 1982736392 2022294053 2023200400 2045673175 2046545020 2070159001 2094091475 2153012680 2177855134 2178831200 2203032650 2203971560 2291153956 2318629040 2337912200 2345382452 2393247400 2478420490 2488977296 2517751600 2558181275 2618461664 2660508526 2680437088 2691265850 2711424800 2754964450 2832480560 2863942445 2865163028 2898286300 2931728065 3014217752 3050363680 3075732400 3085560184 3111221620 3148530800 3273077080 3274472032 3312327200 3350546360 3524852240 3540600700 3581453785 3767772190 3812954600 3856950230 3889027025 3965472784 4044588106 4046400800 4091346350 4093090040 4140318002 4188182950 4306025360 4355710268 4406065300 4407943120 4582307912 4637258080 4675824400 4690764904 4786494800 4956840980 4977954592 5014035299 5035503200 5116362550 5321017052 5382531700 5444637835 5509928900 5664961120 5727884890 5730326056 5796572600 5863456130 6028435504 6151464800 6171120368 6196051225 6222443240 6297061600 6546154160 6651271315 6701092720 7049704480 7081201400 7162907570 7535544380 7622492969 7625909200 7713900460 7778054050 7930945568 8089176212 8182692700 8186180080 8280636004 8376365900 8612050720 8711420536 8812130600 8815886240 9164615824 9311779841 9351648800 9381529808 9419430475 9572989600 9642375575 9913681960 10028070598 10111470265 10232725100 10350795005 10642034104 10765063400 10889275670 11019857800 11455769780 11460652112 11593145200 11726912260 12056871008 12342240736 12392102450 12444886480 13092308320 13302542630 13402185440 14156058371 14162402800 14319712225 14325815140 14491113007 14658640325 15071088760 15244985938 15251818400 15427800920 15556108100 16178352424 16365385400 16372360160 16561272008 16752731800 17422841072 17624261200 17907268925 18329231648 18623559682 18763059616 18838860950 19284751150 19827363920 20056141196 20222940530 20465450200 20701590010 21284068208 21530126800 21778551340 22039715600 22911539560 22921304224 23186290400 23453824520 24784204900 24889772960 25070176495 26605085260 26912067013 27223189175 28312116742 28324805600 28639424450 28651630280 28982226014 29317280650 30142177520 30489971876 30855601840 31112216200 32356704848 32730770800 33122544016 33256356575 33505463600 34845682144 35248522400 35814537850 37247119364 37677721900 38112464845 38569502300 39654727840 40112282392 40445881060 40930900400 41403180020 42568136416 43060253600 43557102680 44079431200 45823079120 46558899205 46907649040 49568409800 50140352990 50557351325 51753975025 53210170520 53824134026 54446378350 56624233484 57278848900 57303260560 57964452028 58634561300 60284355040 60979943752 61711203680 62224432400 64713409696 65182458887 65461541600 66245088032 66512713150 67010927200 70780291855 71629075700 72455565035 74494238728 75355443800 76224929690 77139004600 80224564784 80891762120 81861800800 82806360040 87114205360 91646158240 93117798410 93815298080 99092408597 99136819600 100280705980 101114702650 101437791049 103507950050 106420341040 107648268052 108892756700 113248466968 114557697800 114606521120 115928904056 117269122600 121959887504 124448864800 125350882475 130364917774 133025426300 134560335065 141560583710 143258151400 144911130070 148988477456 150710887600 152449859380 154278009200 160449129568 161783524240 165612720080 174228410720 186235596820 188384469091 190562324225 198184817194 198273639200 200561411960 202229405300 202875582098 207015900100 212840682080 215296536104 217785513400 226496933936 229115395600 231857808112 232794496025 234538245200 243919775008 250701764950 260729835548 266050852600 269120670130 283121167420 286516302800 289822260140 297976954912 301421775200 304899718760 308556018400 323567048480 325912294435 331225440160 349856871169 353901459275 362277825175 372471193640 376768938182 381124648450 396369634388 401122823920 404458810600 405751164196 414031800200 430593072208 435571026800 452993867872 458230791200 463715616224 465588992050 469076490400 495462042985 501403529900 507188955245 521459671096 532101705200 538241340260 566242334840 573032605600 579644520280 609799437520 651824588870 672801675325 699713742338 707802918550 724555650350 744942387280 753537876364 762249296900 792739268776 802245647840 808917621200 811502328392 828063600400 861186144416 871142053600 931177984100 941922345455 990924085970 1002807059800 1014377910490 1042919342192 1064203410400 1076482680520 1132484669680 1159289040560 1219598875040 1303649177740 1318691283637 1345603350650 1399427484676 1415605837100 1449111300700 1489884774560 1507075752728 1524498593800 1585478537552 1617835242400 1623004656784 1629561472175 1656127200800 1749284355845 1862355968200 1883844690910 1981848171940 2005614119600 2028755820980 2085838684384 2152965361040 2264969339360 2318578081120 2448998098183 2477310214925 2535944776225 2607298355480 2637382567274 2691206701300 2798854969352 2831211674200 2898222601400 3014151505456 3048997187600 3170957075104 3246009313568 3259122944350 3498568711690 3724711936400 3767689381820 3963696343880 4011228239200 4057511641960 4305930722080 4709611727275 4897996196366 4954620429850 5071889552450 5214596710960 5274765134548 5382413402600 5597709938704 5662423348400 5796445202800 6028303010912 6097994375200 6518245888700 6593456418185 6997137423380 7449423872800 7535378763640 7927392687760 8115023283920 8746421779225 9419223454550 9795992392732 9909240859700 10143779104900 10429193421920 10549530269096 10764826805200 11195419877408 11324846696800 11592890405600 12244990490915 13036491777400 13186912836370 13994274846760 15070757527280 15854785375520 16230046567840 17142986687281 17492843558450 18838446909100 19591984785464 19818481719400 20287558209800 21099060538192 21529653610400 24489980981830 26072983554800 26373825672740 27988549693520 30141515054560 32967282090925 34285973374562 34985687116900 37676893818200 39183969570928 39636963438800 40575116419600 42198121076384 48979961963660 52145967109600 52747651345480 55977099387040 61224952454575 65934564181850 68571946749124 69971374233800 75353787636400 78367939141856 79273926877600 81150232839200 85714933436405 97959923927320 105495302690960 122449904909150 131869128363700 137143893498248 139942748467600 150707575272800 171429866872810 195919847854640 210990605381920 244899809818300 263738256727400 274287786996496 279885496935200 342859733745620 391839695709280 428574667182025 489799619636600 527476513454800 548575573992992 685719467491240 857149334364050 979599239273200 1054953026909600 1371438934982480 1714298668728100 1959198478546400 2742877869964960 3428597337456200 6857194674912400 13714389349824800
- Sum of all divisors σ(n): 42579827488437057
- Sum of proper divisors (its aliquot sum) s(n): 28865438138612257
- 13714389349824800 is an abundant number, because the sum of its proper divisors (28865438138612257) is greater than itself. Its abundance is 15151048788787457
Bases of 13714389349824800
- Binary: 1100001011100100101010000110011000000111111001001000002
- Hexadecimal: 0x30B92A1981F920
- Base-36: 3R1CFHNUGBK
Squares and roots of 13714389349824800
- 13714389349824800 squared (137143893498248002) is 188084475238587900471790695040000
- 13714389349824800 cubed (137143893498248003) is 2579463724079476211207385683323016094228992000000
-
The
square root of 13714389349824800 is 117108451.2314324819 -
The
cube root of 13714389349824800 is 239363.9951709925
Scales and comparisons
How big is 13714389349824800?- 13,714,389,349,824,800 seconds is equal to 436,075,159 years, 48 weeks, 3 days, 13 hours, 33 minutes, 20 seconds.
-
To count from 1 to 13,714,389,349,824,800 would take you about one billion, three hundred eight million, two hundred twenty-five thousand, four hundred seventy-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 13714389349824800 cubic inches would be around 19947 feet tall.
Recreational maths with 13714389349824800
- 13714389349824800 backwards is 00842894398341731
- The number of decimal digits it has is: 17
- The sum of 13714389349824800's digits is 74
- More coming soon!
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Numbermatics. (2024). Number 13714389349824800 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/13714389349824800/
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The information we have on file for 13714389349824800 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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