13362140834042800800
13,362,140,834,042,800,800 is an even composite number composed of seven prime numbers multiplied together.
13362140834042800800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13362140834042800800:
25 × 3 × 52 × 72 × 112 × 13 × 72233723171
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 11 × 11 × 13 × 72233723171)See below for interesting mathematical facts about the number 13362140834042800800 from the Numbermatics database.
Names of 13362140834042800800
- Cardinal: 13362140834042800800 can be written as Thirteen quintillion, three hundred sixty-two quadrillion, one hundred forty trillion, eight hundred thirty-four billion, forty-two million, eight hundred thousand, eight hundred.
Scientific notation
- Scientific notation: 1.33621408340428008 × 1019
Factors of 13362140834042800800
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 72233723212
Divisors of 13362140834042800800
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 25 26 28 30 32 33 35 39 40 42 44 48 49 50 52 55 56 60 65 66 70 75 77 78 80 84 88 91 96 98 100 104 105 110 112 120 121 130 132 140 143 147 150 154 156 160 165 168 175 176 182 195 196 200 208 210 220 224 231 240 242 245 260 264 273 275 280 286 294 300 308 312 325 330 336 350 352 363 364 385 390 392 400 416 420 429 440 455 462 480 484 490 520 525 528 539 546 550 560 572 588 600 605 616 624 637 650 660 672 700 715 726 728 735 770 780 784 800 825 840 847 858 880 910 924 968 975 980 1001 1040 1050 1056 1078 1092 1100 1120 1144 1155 1176 1200 1210 1225 1232 1248 1274 1300 1320 1365 1400 1430 1452 1456 1470 1540 1560 1568 1573 1617 1650 1680 1694 1716 1760 1815 1820 1848 1911 1925 1936 1950 1960 2002 2080 2100 2145 2156 2184 2200 2275 2288 2310 2352 2400 2420 2450 2464 2541 2548 2600 2640 2695 2730 2800 2860 2904 2912 2940 3003 3025 3080 3120 3146 3185 3234 3300 3360 3388 3432 3575 3630 3640 3675 3696 3822 3850 3872 3900 3920 4004 4200 4235 4290 4312 4368 4400 4550 4576 4620 4704 4719 4840 4900 5005 5082 5096 5200 5280 5390 5460 5600 5720 5775 5808 5880 5929 6006 6050 6160 6240 6292 6370 6468 6600 6776 6825 6864 7007 7150 7260 7280 7350 7392 7644 7700 7800 7840 7865 8008 8085 8400 8470 8580 8624 8736 8800 9075 9100 9240 9438 9555 9680 9800 10010 10164 10192 10400 10725 10780 10920 11011 11440 11550 11616 11760 11858 12012 12100 12320 12584 12705 12740 12936 13200 13475 13552 13650 13728 14014 14300 14520 14560 14700 15015 15288 15400 15600 15730 15925 16016 16170 16800 16940 17160 17248 17787 18150 18200 18480 18876 19110 19360 19600 20020 20328 20384 21021 21175 21450 21560 21840 22022 22880 23100 23520 23595 23716 24024 24200 25025 25168 25410 25480 25872 26400 26950 27104 27300 28028 28600 29040 29400 29645 30030 30576 30800 31200 31460 31850 32032 32340 33033 33880 34320 35035 35574 36300 36400 36960 37752 38220 39200 39325 40040 40425 40656 42042 42350 42900 43120 43680 44044 46200 47190 47432 47775 48048 48400 50050 50336 50820 50960 51744 53900 54600 55055 56056 57200 58080 58800 59290 60060 61152 61600 62920 63525 63700 64680 66066 67760 68640 70070 71148 72600 72800 75075 75504 76440 77077 78650 80080 80850 81312 84084 84700 85800 86240 88088 88935 92400 94380 94864 95550 96096 96800 100100 101640 101920 105105 107800 109200 110110 112112 114400 117600 117975 118580 120120 125840 127050 127400 129360 132132 135520 140140 142296 145200 148225 150150 151008 152880 154154 157300 160160 161700 165165 168168 169400 171600 175175 176176 177870 184800 188760 189728 191100 200200 203280 210210 215600 218400 220220 224224 231231 235950 237160 240240 251680 254100 254800 258720 264264 275275 280280 284592 290400 296450 300300 305760 308308 314600 323400 330330 336336 338800 343200 350350 352352 355740 377520 382200 385385 400400 406560 420420 431200 440440 444675 462462 471900 474320 480480 508200 509600 525525 528528 550550 560560 569184 592900 600600 616616 629200 646800 660660 672672 677600 700700 711480 755040 764400 770770 800800 825825 840840 880880 889350 924924 943800 948640 1016400 1051050 1057056 1101100 1121120 1156155 1185800 1201200 1233232 1258400 1293600 1321320 1401400 1422960 1528800 1541540 1651650 1681680 1761760 1778700 1849848 1887600 1926925 2032800 2102100 2202200 2312310 2371600 2402400 2466464 2642640 2802800 2845920 3083080 3303300 3363360 3557400 3699696 3775200 3853850 4204200 4404400 4624620 4743200 5285280 5605600 5780775 6166160 6606600 7114800 7399392 7707700 8408400 8808800 9249240 11561550 12332320 13213200 14229600 15415400 16816800 18498480 23123100 26426400 30830800 36996960 46246200 61661600 92492400 184984800 72233723171 144467446342 216701169513 288934892684 361168615855 433402339026 505636062197 577869785368 722337231710 794570954881 866804678052 939038401223 1011272124394 1083505847565 1155739570736 1444674463420 1516908186591 1589141909762 1733609356104 1805843079275 1878076802446 2022544248788 2167011695130 2311479141472 2383712864643 2528180310985 2817115203669 2889348926840 3033816373182 3178283819524 3467218712208 3539452435379 3611686158550 3756153604892 3972854774405 4045088497576 4334023390260 4695192006115 4767425729286 5056360621970 5417529237825 5561996684167 5634230407338 5778697853680 6067632746364 6356567639048 6573268808561 6934437424416 7078904870758 7223372317100 7512307209784 7584540932955 7945709548810 8090176995152 8668046780520 8740280503691 9390384012230 9534851458572 10112721243940 10329422413453 10618357306137 10835058475650 11123993368334 11268460814676 11557395707360 11918564323215 12135265492728 12640901554925 12713135278096 13146537617122 14085576018345 14157809741516 14446744634200 15024614419568 15169081865910 15891419097620 16180353990304 16685990052501 17336093561040 17480561007382 17697262176895 18780768024460 19069702917144 19719806425683 19864273872025 20225442487880 20658844826906 21236714612274 21670116951300 22247986736668 22536921629352 23475960030575 23837128646430 24270530985456 25281803109850 25426270556192 26220841511073 26293075234244 27809983420835 28171152036690 28315619483032 28893489268400 30049228839136 30338163731820 30988267240359 31782838195240 32866344042805 33371980105002 34672187122080 34961122014764 35394524353790 37561536048920 37922704664775 38139405834288 38933976789169 39439612851366 39728547744050 40450884975760 41317689653812 42473429224548 43340233902600 43701402518455 44495973473336 45073843258704 46012881659927 46951920061150 47674257292860 48541061970912 50563606219700 51647112067265 52441683022146 52586150468488 53091786530685 55619966841670 56342304073380 56631238966064 57786978536800 59592821616075 60676327463640 61181963525837 61976534480718 63565676390480 65732688085610 66743960210004 69922244029528 70427880091725 70789048707580 72305956894171 75123072097840 75845409329550 76278811668576 77867953578338 78879225702732 79457095488100 80901769951520 82635379307624 83429950262505 84946858449096 86680467805200 87402805036910 88486310884475 88991946946672 90147686517408 92025763319854 93903840122300 95348514585720 98599032128415 101127212439400 103294224134530 104883366044292 105172300936976 106183573061370 111239933683340 112684608146760 113262477932128 113623646547983 116801930367507 119185643232150 121352654927280 122363927051674 123953068961436 127131352780960 131104207555365 131465376171220 133487920420008 138038644979781 139049917104175 139844488059056 140855760183450 141578097415160 144611913788342 150246144195680 151690818659100 154941336201795 155735907156676 157758451405464 158914190976200 164331720214025 165270758615248 166859900525010 169893716898192 173360935610400 174805610073820 176972621768950 177983893893344 183545890577511 184051526639708 187807680244600 190697029171440 194669883945845 197198064256830 202254424878800 206588448269060 209766732088584 210344601873952 212367146122740 216917870682513 218507012592275 222479867366680 225369216293520 227247293095966 230064408299635 233603860735014 238371286464300 242705309854560 244727854103348 247906137922872 258235560336325 262208415110730 262930752342440 265458932653425 266975840840016 276077289959562 278099834208350 279688976118112 281711520366900 283156194830320 289223827576684 303381637318200 305909817629185 309882672403590 311471814313352 315516902810928 317828381952400 328663440428050 330541517230496 333719801050020 339787433796384 340870939643949 349611220147640 353945243537900 361529784470855 367091781155022 368103053279416 375615360489200 381394058342880 389339767891690 394396128513660 404508849757600 413176896538120 417149751312525 419533464177168 424734292245480 428273744680859 433835741365026 437014025184550 444959734733360 450738432587040 454494586191932 460128816599270 467207721470028 476742572928600 489455708206696 492995160642075 495812275845744 506141698259197 516471120672650 524416830221460 525861504684880 530917865306850 533951681680032 552154579919124 556199668416700 563423040733800 566312389660640 568118232739915 578447655153368 584009651837535 606763274636400 611819635258370 619765344807180 622943628626704 631033805621856 635656763904800 655521037776825 657326880856100 667439602100040 681741879287898 690193224898905 699222440295280 707890487075800 723059568941710 734183562310044 736206106558832 751230720978400 774706681008975 778679535783380 788792257027320 795365525835881 826353793076240 834299502625050 839066928354336 849468584490960 856547489361718 867671482730052 874028050369100 889919469466720 908989172383864 917729452887555 920257633198540 934415442940056 953485145857200 973349419729225 978911416413392 985990321284150 991624551691488 1012283396518394 1032942241345300 1048833660442920 1051723009369760 1061835730613700 1084589353412565 1104309159838248 1112399336833400 1126846081467600 1136236465479830 1150322041498175 1156895310306736 1168019303675070 1213526549272800 1223639270516740 1239530689614360 1245887257253408 1284821234042577 1311042075553650 1314653761712200 1334879204200080 1363483758575796 1380386449797810 1398444880590560 1415780974151600 1446119137883420 1468367124620088 1472412213117664 1518425094777591 1529549088145925 1549413362017950 1557359071566760 1577584514054640 1590731051671762 1652707586152480 1668599005250100 1698937168981920 1704354698219745 1713094978723436 1735342965460104 1748056100738200 1807648922354275 1817978344767728 1835458905775110 1840515266397080 1868830885880112 1906970291714400 1946698839458450 1957822832826784 1971980642568300 2024566793036788 2065884482690600 2097667320885840 2123671461227400 2141368723404295 2169178706825130 2208618319676496 2224798673666800 2253692162935200 2272472930959660 2300644082996350 2313790620613472 2336038607350140 2386096577507643 2447278541033480 2479061379228720 2530708491295985 2569642468085154 2622084151107300 2629307523424400 2669758408400160 2726967517151592 2760772899595620 2831561948303200 2840591163699575 2892238275766840 2920048259187675 2936734249240176 3036850189555182 3059098176291850 3098826724035900 3114718143133520 3155169028109280 3181462103343524 3337198010500200 3408709396439490 3426189957446872 3450966124494525 3470685930920208 3496112201476400 3615297844708550 3635956689535456 3670917811550220 3681030532794160 3737661771760224 3893397678916900 3943961285136600 3976827629179405 4049133586073576 4131768965381200 4195334641771680 4247342922454800 4282737446808590 4338357413650260 4417236639352992 4449597347333600 4544945861919320 4588647264437775 4601288165992700 4672077214700280 4772193155015286 4894557082066960 4958122758457440 5061416982591970 5139284936170308 5244168302214600 5258615046848800 5422946767062825 5453935034303184 5521545799191240 5567558680851167 5681182327399150 5784476551533680 5840096518375350 5873468498480352 6073700379110364 6118196352583700 6197653448071800 6229436286267040 6362924206687048 6424106170212885 6674396021000400 6817418792878980 6852379914893744 6901932248989050 6941371861840416 6992224402952800 7230595689417100 7341835623100440 7362061065588320 7592125473887955 7786795357833800 7887922570273200 7953655258358810 8098267172147152 8263537930762400 8494685844909600 8521773491098725 8565474893617180 8676714827300520 9089891723838640 9177294528875550 9202576331985400 9344154429400560 9544386310030572 9789114164133920 10122833965183940 10278569872340616 10488336604429200 10706843617021475 10845893534125650 10907870068606368 11043091598382480 11135117361702334 11362364654798300 11568953103067360 11680193036750700 11930482887538215 12147400758220728 12236392705167400 12395306896143600 12653542456479925 12725848413374096 12848212340425770 13348792042000800 13634837585757960 13704759829787488 13803864497978100 14461191378834200 14683671246200880 15184250947775910 15573590715667600 15775845140546400 15907310516717620 16196534344294304 16702676042553501 17043546982197450 17130949787234360 17353429654601040 18179783447677280 18354589057751100 18405152663970800 18688308858801120 19088772620061144 19884138145897025 20245667930367880 20557139744681232 20976673208858400 21413687234042950 21691787068251300 22086183196764960 22270234723404668 22724729309596600 23360386073501400 23860965775076430 24294801516441456 24472785410334800 24790613792287200 25307084912959850 25451696826748192 25696424680851540 27269675171515920 27607728995956200 27837793404255835 28922382757668400 29367342492401760 30368501895551820 31147181431335200 31814621033435240 32120530851064425 33405352085107002 34087093964394900 34261899574468720 34706859309202080 36709178115502200 36810305327941600 37960627369439775 38177545240122288 39768276291794050 40491335860735760 41114279489362464 42827374468085900 43383574136502600 44540469446809336 45449458619193200 46720772147002800 47721931550152860 48589603032882912 48945570820669600 50614169825919700 51392849361703080 54539350343031840 55215457991912400 55675586808511670 57844765515336800 59652414437691075 60737003791103640 63629242066870480 64241061702128850 66810704170214004 68174187928789800 68523799148937440 73418356231004400 75921254738879550 76355090480244576 79536552583588100 80982671721471520 83513380212767505 85654748936171800 86767148273005200 89080938893618672 90898917238386400 93441544294005600 95443863100305720 101228339651839400 102785698723406160 110430915983824800 111351173617023340 119304828875382150 121474007582207280 127258484133740960 128482123404257700 133621408340428008 136348375857579600 139188967021279175 146836712462008800 151842509477759100 159073105167176200 167026760425535010 171309497872343600 173534296546010400 178161877787237344 190887726200611440 202456679303678800 205571397446812320 222702347234046680 238609657750764300 242948015164414560 256964246808515400 267242816680856016 272696751715159200 278377934042558350 303685018955518200 318146210334352400 334053520851070020 342618995744687200 381775452401222880 404913358607357600 417566901063837525 445404694468093360 477219315501528600 513928493617030800 534485633361712032 556755868085116700 607370037911036400 636292420668704800 668107041702140040 835133802127675050 890809388936186720 954438631003057200 1027856987234061600 1113511736170233400 1214740075822072800 1336214083404280080 1670267604255350100 1908877262006114400 2227023472340466800 2672428166808560160 3340535208510700200 4454046944680933600 6681070417021400400 13362140834042800800
- Sum of all divisors σ(n): 59890338453770618976
- Sum of proper divisors (its aliquot sum) s(n): 46528197619727818176
- 13362140834042800800 is an abundant number, because the sum of its proper divisors (46528197619727818176) is greater than itself. Its abundance is 33166056785685017376
Bases of 13362140834042800800
- Binary: 10111001011011111101110001001010111110111101110011101010101000002
- Hexadecimal: 0xB96FDC4AFBDCEAA0
- Base-36: 2TIOZLWFKHJ1C
Squares and roots of 13362140834042800800
- 13362140834042800800 squared (133621408340428008002) is 178546807668794036190817566308480640000
- 13362140834042800800 cubed (133621408340428008003) is 2385767589539179084726667738399247744734509778176512000000
-
The
square root of 13362140834042800800 is 3655426217.8359995999 -
The
cube root of 13362140834042800800 is 2372968.7280046857
Scales and comparisons
How big is 13362140834042800800?- 13,362,140,834,042,800,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,362,140,834,042,800,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 13362140834042800800 cubic inches would be around 197747.4 feet tall.
Recreational maths with 13362140834042800800
- 13362140834042800800 backwards is 00800824043804126331
- The number of decimal digits it has is: 20
- The sum of 13362140834042800800's digits is 57
- More coming soon!
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"Number 13362140834042800800 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 13362140834042800800 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/13362140834042800800/
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The information we have on file for 13362140834042800800 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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