11431201988731968000
11,431,201,988,731,968,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 11431201988731968000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
11431201988731968000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 11431201988731968000:
29 × 32 × 53 × 29 × 37 × 18495654041
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 29 × 37 × 18495654041)See below for interesting mathematical facts about the number 11431201988731968000 from the Numbermatics database.
Names of 11431201988731968000
- Cardinal: 11431201988731968000 can be written as Eleven quintillion, four hundred thirty-one quadrillion, two hundred one trillion, nine hundred eighty-eight billion, seven hundred thirty-one million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.1431201988731968 × 1019
Factors of 11431201988731968000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 18495654117
Divisors of 11431201988731968000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 29 30 32 36 37 40 45 48 50 58 60 64 72 74 75 80 87 90 96 100 111 116 120 125 128 144 145 148 150 160 174 180 185 192 200 222 225 232 240 250 256 261 288 290 296 300 320 333 348 360 370 375 384 400 435 444 450 464 480 500 512 522 555 576 580 592 600 640 666 696 720 725 740 750 768 800 870 888 900 925 928 960 1000 1044 1073 1110 1125 1152 1160 1184 1200 1280 1305 1332 1392 1440 1450 1480 1500 1536 1600 1665 1740 1776 1800 1850 1856 1920 2000 2088 2146 2175 2220 2250 2304 2320 2368 2400 2560 2610 2664 2775 2784 2880 2900 2960 3000 3200 3219 3330 3480 3552 3600 3625 3700 3712 3840 4000 4176 4292 4350 4440 4500 4608 4625 4640 4736 4800 5220 5328 5365 5550 5568 5760 5800 5920 6000 6400 6438 6525 6660 6960 7104 7200 7250 7400 7424 7680 8000 8325 8352 8584 8700 8880 9000 9250 9280 9472 9600 9657 10440 10656 10730 10875 11100 11136 11520 11600 11840 12000 12800 12876 13050 13320 13875 13920 14208 14400 14500 14800 14848 16000 16095 16650 16704 17168 17400 17760 18000 18500 18560 18944 19200 19314 20880 21312 21460 21750 22200 22272 23040 23200 23680 24000 25752 26100 26640 26825 27750 27840 28416 28800 29000 29600 32000 32190 32625 33300 33408 34336 34800 35520 36000 37000 37120 38400 38628 41625 41760 42624 42920 43500 44400 44544 46400 47360 48000 48285 51504 52200 53280 53650 55500 55680 56832 57600 58000 59200 64000 64380 65250 66600 66816 68672 69600 71040 72000 74000 74240 77256 80475 83250 83520 85248 85840 87000 88800 92800 94720 96000 96570 103008 104400 106560 107300 111000 111360 115200 116000 118400 128760 130500 133200 133632 134125 137344 139200 142080 144000 148000 154512 160950 166500 167040 170496 171680 174000 177600 185600 192000 193140 206016 208800 213120 214600 222000 222720 232000 236800 241425 257520 261000 266400 268250 274688 278400 284160 288000 296000 309024 321900 333000 334080 343360 348000 355200 371200 386280 402375 412032 417600 426240 429200 444000 464000 473600 482850 515040 522000 532800 536500 549376 556800 576000 592000 618048 643800 666000 668160 686720 696000 710400 772560 804750 824064 835200 852480 858400 888000 928000 965700 1030080 1044000 1065600 1073000 1113600 1184000 1207125 1236096 1287600 1332000 1373440 1392000 1420800 1545120 1609500 1648128 1670400 1716800 1776000 1856000 1931400 2060160 2088000 2131200 2146000 2368000 2414250 2472192 2575200 2664000 2746880 2784000 3090240 3219000 3340800 3433600 3552000 3862800 4120320 4176000 4262400 4292000 4828500 4944384 5150400 5328000 5568000 6180480 6438000 6867200 7104000 7725600 8240640 8352000 8584000 9657000 10300800 10656000 12360960 12876000 13734400 15451200 16704000 17168000 19314000 20601600 21312000 24721920 25752000 30902400 34336000 38628000 41203200 51504000 61804800 68672000 77256000 103008000 123609600 154512000 206016000 309024000 618048000 18495654041 36991308082 55486962123 73982616164 92478270205 110973924246 147965232328 166460886369 184956540410 221947848492 277434810615 295930464656 332921772738 369913080820 443895696984 462391351025 536373967189 554869621230 591860929312 665843545476 684339199517 739826161640 832304431845 887791393968 924782702050 1072747934378 1109739242460 1183721858624 1331687090952 1368678399034 1387174053075 1479652323280 1609121901567 1664608863690 1775582787936 1849565404100 2053017598551 2145495868756 2219478484920 2311956755125 2367443717248 2663374181904 2681869835945 2737356798068 2774348106150 2959304646560 3218243803134 3329217727380 3421695997585 3551165575872 3699130808200 4106035197102 4161522159225 4290991737512 4438956969840 4623913510250 4734887434496 4827365704701 5326748363808 5363739671890 5474713596136 5548696212300 5918609293120 6159052795653 6436487606268 6658435454760 6843391995170 6935870265375 7102331151744 7398261616400 8045609507835 8212070394204 8323044318450 8581983475024 8877913939680 9247827020500 9469774868992 9654731409402 10265087992755 10653496727616 10727479343780 10949427192272 11097392424600 11837218586240 12318105591306 12872975212536 13316870909520 13409349179725 13686783990340 13871740530750 14204662303488 14796523232800 16091219015670 16424140788408 16646088636900 17108479987925 17163966950048 17755827879360 18495654041000 19309462818804 19845836785993 20530175985510 20807610796125 21306993455232 21454958687560 21898854384544 22194784849200 23674437172480 24136828523505 24636211182612 25745950425072 26633741819040 26818698359450 27373567980680 27743481061500 28409324606976 29593046465600 30795263978265 32182438031340 32848281576816 33292177273800 34216959975850 34327933900096 35511655758720 36991308082000 38618925637608 39691673571986 40228047539175 41060351971020 41615221592250 42613986910464 42909917375120 43797708769088 44389569698400 47348874344960 48273657047010 49272422365224 51325439963775 51491900850144 53267483638080 53637396718900 54747135961360 55486962123000 59186092931200 59537510357979 61590527956530 64364876062680 65696563153632 66584354547600 67046745898625 68433919951700 68655867800192 71023311517440 73982616164000 77237851275216 79383347143972 80456095078350 82120703942040 83230443184500 85227973820928 85542399939625 85819834750240 87595417538176 88779139396800 96547314094020 98544844730448 99229183929965 102650879927550 102983801700288 106534967276160 107274793437800 109494271922720 110973924246000 118372185862400 119075020715958 120684142617525 123181055913060 128729752125360 131393126307264 133168709095200 134093491797250 136867839903400 137311735600384 142046623034880 147965232328000 153976319891325 154475702550432 158766694287944 160912190156700 164241407884080 166460886369000 171084799879250 171639669500480 175190835076352 177558278793600 178612531073937 193094628188040 197089689460896 198458367859930 201140237695875 205301759855100 205967603400576 213069934552320 214549586875600 218988543845440 221947848492000 236744371724800 238150041431916 241368285235050 246362111826120 256627199818875 257459504250720 262786252614528 266337418190400 268186983594500 273735679806800 274623471200768 295930464656000 297687551789895 307952639782650 308951405100864 317533388575888 321824380313400 328482815768160 332921772738000 342169599758500 343279339000960 350381670152704 355116557587200 357225062147874 386189256376080 394179378921792 396916735719860 402280475391750 410603519710200 411935206801152 426139869104640 429099173751200 437977087690880 443895696984000 476300082863832 482736570470100 492724223652240 496145919649825 513254399637750 514919008501440 525572505229056 532674836380800 536373967189000 547471359613600 591860929312000 595375103579790 603420713087625 615905279565300 617902810201728 635066777151776 643648760626800 656965631536320 665843545476000 684339199517000 686558678001920 710233115174400 714450124295748 769881599456625 772378512752160 788358757843584 793833471439720 804560950783500 821207039420400 823870413602304 858198347502400 875954175381760 887791393968000 893062655369685 952600165727664 965473140940200 985448447304480 992291839299650 1026508799275500 1029838017002880 1051145010458112 1065349672761600 1072747934378000 1094942719227200 1183721858624000 1190750207159580 1206841426175250 1231810559130600 1235805620403456 1270133554303552 1287297521253600 1313931263072640 1331687090952000 1368678399034000 1373117356003840 1428900248591496 1488437758949475 1539763198913250 1544757025504320 1576717515687168 1587666942879440 1609121901567000 1642414078840800 1716396695004800 1751908350763520 1775582787936000 1786125310739370 1905200331455328 1930946281880400 1970896894608960 1984583678599300 2053017598551000 2059676034005760 2130699345523200 2145495868756000 2189885438454400 2381500414319160 2413682852350500 2463621118261200 2471611240806912 2480729598249125 2540267108607104 2574595042507200 2627862526145280 2663374181904000 2737356798068000 2857800497182992 2976875517898950 3079526397826500 3089514051008640 3153435031374336 3175333885758880 3218243803134000 3284828157681600 3432793390009600 3551165575872000 3572250621478740 3810400662910656 3861892563760800 3941793789217920 3969167357198600 4106035197102000 4119352068011520 4290991737512000 4379770876908800 4465313276848425 4763000828638320 4827365704701000 4927242236522400 4961459196498250 5080534217214208 5149190085014400 5255725052290560 5326748363808000 5474713596136000 5715600994365984 5953751035797900 6159052795653000 6179028102017280 6350667771517760 6436487606268000 6569656315363200 6865586780019200 7144501242957480 7442188794747375 7620801325821312 7723785127521600 7883587578435840 7938334714397200 8212070394204000 8581983475024000 8759541753817600 8930626553696850 9526001657276640 9654731409402000 9854484473044800 9922918392996500 10161068434428416 10298380170028800 10653496727616000 10949427192272000 11431201988731968 11907502071595800 12318105591306000 12358056204034560 12701335543035520 12872975212536000 13139312630726400 14289002485914960 14884377589494750 15241602651642624 15447570255043200 15767175156871680 15876669428794400 16424140788408000 17163966950048000 17861253107393700 19052003314553280 19309462818804000 19708968946089600 19845836785993000 20596760340057600 21898854384544000 22326566384242125 22862403977463936 23815004143191600 24636211182612000 25402671086071040 25745950425072000 26278625261452800 28578004971829920 29768755178989500 30483205303285248 30895140510086400 31753338857588800 32848281576816000 34327933900096000 35722506214787400 38104006629106560 38618925637608000 39417937892179200 39691673571986000 43797708769088000 44653132768484250 45724807954927872 47630008286383200 49272422365224000 50805342172142080 51491900850144000 57156009943659840 59537510357979000 61790281020172800 63506677715177600 65696563153632000 71445012429574800 76208013258213120 77237851275216000 78835875784358400 79383347143972000 89306265536968500 91449615909855744 95260016572766400 98544844730448000 102983801700288000 114312019887319680 119075020715958000 127013355430355200 131393126307264000 142890024859149600 152416026516426240 154475702550432000 158766694287944000 178612531073937000 190520033145532800 197089689460896000 228624039774639360 238150041431916000 254026710860710400 285780049718299200 308951405100864000 317533388575888000 357225062147874000 381040066291065600 394179378921792000 457248079549278720 476300082863832000 571560099436598400 635066777151776000 714450124295748000 762080132582131200 952600165727664000 1143120198873196800 1270133554303552000 1428900248591496000 1905200331455328000 2286240397746393600 2857800497182992000 3810400662910656000 5715600994365984000 11431201988731968000
- Sum of all divisors σ(n): 43743963360114594720
- Sum of proper divisors (its aliquot sum) s(n): 32312761371382626720
- 11431201988731968000 is an abundant number, because the sum of its proper divisors (32312761371382626720) is greater than itself. Its abundance is 20881559382650658720
Bases of 11431201988731968000
- Binary: 10011110101000111100100110100100110001100001101110011010000000002
- Hexadecimal: 0x9EA3C9A4C61B9A00
- Base-36: 2EUK6WWWXZLS0
Squares and roots of 11431201988731968000
- 11431201988731968000 squared (114312019887319680002) is 130672378907189700258040545153024000000
- 11431201988731968000 cubed (114312019887319680003) is 1493742357636204168926775023256329134766280671232000000000
-
The
square root of 11431201988731968000 is 3381006061.6230737541 -
The
cube root of 11431201988731968000 is 2252668.5696261659
Scales and comparisons
How big is 11431201988731968000?- 11,431,201,988,731,968,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 11,431,201,988,731,968,000 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 11431201988731968000 cubic inches would be around 187722.4 feet tall.
Recreational maths with 11431201988731968000
- 11431201988731968000 backwards is 00086913788910213411
- 11431201988731968000 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 11431201988731968000's digits is 72
- More coming soon!
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"Number 11431201988731968000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 11431201988731968000 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/11431201988731968000/
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The information we have on file for 11431201988731968000 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 11431201988731968000, math, Factors of 11431201988731968000, curriculum, school, college, exams, university, Prime factorization of 11431201988731968000, STEM, science, technology, engineering, physics, economics, calculator, eleven quintillion, four hundred thirty-one quadrillion, two hundred one trillion, nine hundred eighty-eight billion, seven hundred thirty-one million, nine hundred sixty-eight thousand.