132728567200900710400
132,728,567,200,900,710,400 is an even composite number composed of four prime numbers multiplied together.
132728567200900710400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty-nine divisors.
Prime factorization of 132728567200900710400:
222 × 52 × 176 × 2292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 17 × 17 × 17 × 17 × 17 × 229 × 229)See below for interesting mathematical facts about the number 132728567200900710400 from the Numbermatics database.
Names of 132728567200900710400
- Cardinal: 132728567200900710400 can be written as One hundred thirty-two quintillion, seven hundred twenty-eight quadrillion, five hundred sixty-seven trillion, two hundred billion, nine hundred million, seven hundred ten thousand, four hundred.
Scientific notation
- Scientific notation: 1.327285672009007104 × 1020
Factors of 132728567200900710400
Divisors of 132728567200900710400
- Number of divisors d(n): 1449
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 128 136 160 170 200 229 256 272 289 320 340 400 425 458 512 544 578 640 680 800 850 916 1024 1088 1145 1156 1280 1360 1445 1600 1700 1832 2048 2176 2290 2312 2560 2720 2890 3200 3400 3664 3893 4096 4352 4580 4624 4913 5120 5440 5725 5780 6400 6800 7225 7328 7786 8192 8704 9160 9248 9826 10240 10880 11450 11560 12800 13600 14450 14656 15572 16384 17408 18320 18496 19465 19652 20480 21760 22900 23120 24565 25600 27200 28900 29312 31144 32768 34816 36640 36992 38930 39304 40960 43520 45800 46240 49130 51200 52441 54400 57800 58624 62288 65536 66181 69632 73280 73984 77860 78608 81920 83521 87040 91600 92480 97325 98260 102400 104882 108800 115600 117248 122825 124576 131072 132362 139264 146560 147968 155720 157216 163840 167042 174080 183200 184960 194650 196520 204800 209764 217600 231200 234496 245650 249152 262144 262205 264724 278528 293120 295936 311440 314432 327680 330905 334084 348160 366400 369920 389300 393040 409600 417605 419528 435200 462400 468992 491300 498304 524288 524410 529448 557056 586240 591872 622880 628864 655360 661810 668168 696320 732800 739840 778600 786080 819200 835210 839056 870400 891497 924800 937984 982600 996608 1048576 1048820 1058896 1114112 1125077 1172480 1183744 1245760 1257728 1310720 1311025 1323620 1336336 1392640 1419857 1465600 1479680 1557200 1572160 1638400 1654525 1670420 1678112 1740800 1782994 1849600 1875968 1965200 1993216 2088025 2097152 2097640 2117792 2228224 2250154 2344960 2367488 2491520 2515456 2621440 2622050 2647240 2672672 2785280 2839714 2931200 2959360 3114400 3144320 3276800 3309050 3340840 3356224 3481600 3565988 3699200 3751936 3930400 3986432 4176050 4194304 4195280 4235584 4456448 4457485 4500308 4689920 4734976 4983040 5030912 5242880 5244100 5294480 5345344 5570560 5625385 5679428 5862400 5918720 6228800 6288640 6553600 6618100 6681680 6712448 6963200 7099285 7131976 7398400 7503872 7860800 7972864 8352100 8390560 8471168 8912896 8914970 9000616 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454354240 456446464 473497600 478157725 480247808 482751380 484974368 503091200 510263296 515285266 534534400 536995840 542154752 567942800 570558080 576039424 600309760 603439225 606076928 606217960 612041888 637829120 643956736 650294506 671244800 677693440 684204032 713197600 720049280 726966784 750387200 757596160 757772450 765052360 772402208 797286400 804945920 847116800 855255040 859193344 891289600 900061600 908708480 912892928 946995200 956315450 960495616 965502760 969948736 1006182400 1020526592 1030570532 1069068800 1073991680 1084309504 1135885600 1141116160 1152078848 1200619520 1206878450 1212153856 1212435920 1224083776 1275658240 1287913472 1288213165 1300589012 1342489600 1355386880 1368408064 1426395200 1440098560 1453933568 1500774400 1515192320 1515544900 1530104720 1544804416 1594572800 1609891840 1625736265 1694233600 1710510080 1718386688 1782579200 1800123200 1817416960 1825785856 1893990400 1912630900 1931005520 1939897472 2012364800 2041053184 2061141064 2138137600 2147983360 2168619008 2271771200 2282232320 2304157696 2401239040 2413756900 2424871840 2448167552 2551316480 2575826944 2576426330 2601178024 2684979200 2710773760 2736816128 2852790400 2880197120 2907867136 3001548800 3030384640 3031089800 3060209440 3089608832 3189145600 3219783680 3251472530 3388467200 3421020160 3436773376 3600246400 3634833920 3651571712 3787980800 3825261800 3862011040 3879794944 4024729600 4082106368 4122282128 4276275200 4295966720 4337238016 4379924761 4543542400 4564464640 4608315392 4802478080 4827513800 4849743680 4896335104 5102632960 5151653888 5152852660 5202356048 5369958400 5421547520 5473632256 5527503301 5705580800 5760394240 5815734272 6003097600 6060769280 6062179600 6120418880 6179217664 6378291200 6439567360 6441065825 6502945060 6776934400 6842040320 6873546752 7200492800 7269667840 7303143424 7575961600 7650523600 7724022080 7759589888 8049459200 8128681325 8164212736 8244564256 8552550400 8591933440 8674476032 8759849522 9087084800 9128929280 9216630784 9655027600 9699487360 9792670208 10205265920 10303307776 10305705320 10404712096 10739916800 10843095040 10947264512 11055006602 11411161600 11520788480 11631468544 12006195200 12124359200 12240837760 12358435328 12756582400 12879134720 12882131650 13005890120 13553868800 13684080640 13747093504 14400985600 14539335680 14606286848 15151923200 15301047200 15448044160 15519179776 16098918400 16257362650 16328425472 16489128512 17105100800 17183866880 17348952064 17519699044 18174169600 18257858560 18433261568 19310055200 19398974720 19585340416 20410531840 20606615552 20611410640 20809424192 21479833600 21686190080 21894529024 21899623805 22110013204 22822323200 23041576960 23262937088 24012390400 24248718400 24481675520 24716870656 25513164800 25758269440 25764263300 26011780240 27107737600 27368161280 27494187008 27637516505 28801971200 29078671360 29212573696 30303846400 30602094400 30896088320 31038359552 32197836800 32514725300 32978257024 34210201600 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1751562321920 1751969904400 1768801056320 1843326156800 1861034967040 1861468023425 1869604716544 1958534041600 1977349652480 1986455011328 2080942419200 2110608449536 2189452902400 2211001320400 2242521477632 2326293708800 2337005895680 2359457480704 2382679069984 2471687065600 2483068764160 2506923573248 2531596511858 2638260561920 2663606296576 2749418700800 2803151847040 2830081690112 2921257369600 2949321850880 2977655947264 2978348837480 3103835955200 3133654466560 3163759443968 3297825702400 3329507870720 3469790412800 3503939808800 3537602112640 3686652313600 3722069934080 3722936046850 3739209433088 3917068083200 3954699304960 3972910022656 4161884838400 4221216899072 4378905804800 4422002640800 4485042955264 4652587417600 4674011791360 4718914961408 4765358139968 4943374131200 4966137528320 5013847146496 5063193023716 5276521123840 5327212593152 5498837401600 5606303694080 5660163380224 5842514739200 5898643701760 5955311894528 5956697674960 6207671910400 6267308933120 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26382605619200 26636062965760 28031518470400 28300816901120 29493218508800 29776559472640 29783488374800 31336544665600 31637594439680 31644956398225 31783280181248 33295078707200 33769735192576 35376021126400 35880343642112 37220699340800 38122865119744 39546993049600 39729100226560 40110777171968 40505544189728 42212168990720 42617700745216 44850429552640 45281307041792 46740117913600 47653581399680 49661375283200 50138471464960 50620151103488 50631930237160 52765211238400 53272125931520 56063036940800 56601633802240 58986437017600 59566976749600 62673089331200 63275188879360 63289912796450 63566560362496 66590157414400 67539470385152 70752042252800 71760687284224 74441398681600 76245730239488 79093986099200 79458200453120 80221554343936 81011088379456 84424337981440 85235401490432 89700859105280 90562614083584 93480235827200 95307162799360 99322750566400 100276942929920 101240302206976 101263860474320 105530422476800 106544251863040 112126073881600 113203267604480 117972874035200 119133953499200 125346178662400 126550377758720 126579825592900 133180314828800 135078940770304 141504084505600 143521374568448 148882797363200 152491460478976 158187972198400 158916400906240 162022176758912 168848675962880 170470802980864 179401718210560 181125228167168 190614325598720 198645501132800 200553885859840 202527720948640 211060844953600 213088503726080 224252147763200 226406535208960 238267906998400 250692357324800 253100755517440 253159651185800 266360629657600 270157881540608 283008169011200 287042749136896 304982920957952 316375944396800 317832801812480 324044353517824 337697351925760 340941605961728 358803436421120 362250456334336 381228651197440 397291002265600 401107771719680 405055441897280 422121689907200 426177007452160 448504295526400 452813070417920 476535813996800 501384714649600 506201511034880 506319302371600 532721259315200 540315763081216 566016338022400 574085498273792 609965841915904 632751888793600 648088707035648 675394703851520 681883211923456 717606872842240 724500912668672 762457302394880 794582004531200 810110883794560 844243379814400 852354014904320 897008591052800 905626140835840 953071627993600 1002769429299200 1012638604743200 1065442518630400 1080631526162432 1132032676044800 1148170996547584 1219931683831808 1265503777587200 1296177414071296 1350789407703040 1363766423846912 1435213745684480 1449001825337344 1524914604789760 1589164009062400 1620221767589120 1688486759628800 1704708029808640 1794017182105600 1811252281671680 1906143255987200 2005538858598400 2025277209486400 2130885037260800 2264065352089600 2296341993095168 2439863367663616 2531007555174400 2592354828142592 2701578815406080 2870427491368960 2898003650674688 3049829209579520 3240443535178240 3376973519257600 3409416059617280 3588034364211200 3622504563343360 3812286511974400 4050554418972800 4261770074521600 4528130704179200 4592683986190336 4879726735327232 5184709656285184 5403157630812160 5740854982737920 5796007301349376 6099658419159040 6480887070356480 6753947038515200 6818832119234560 7176068728422400 7245009126686720 7624573023948800 8101108837945600 8523540149043200 9056261408358400 9185367972380672 9759453470654464 10369419312570368 11481709965475840 11592014602698752 12199316838318080 12961774140712960 13507894077030400 14352137456844800 14490018253373440 15249146047897600 16202217675891200 17047080298086400 18112522816716800 18370735944761344 19518906941308928 20738838625140736 22963419930951680 23184029205397504 24398633676636160 25923548281425920 27015788154060800 28704274913689600 28980036506746880 30498292095795200 32404435351782400 34094160596172800 36225045633433600 39037813882617856 41477677250281472 45926839861903360 48797267353272320 51847096562851840 57408549827379200 57960073013493760 60996584191590400 64808870703564800 72450091266867200 78075627765235712 82955354500562944 91853679723806720 97594534706544640 103694193125703680 114817099654758400 115920146026987520 121993168383180800 129617741407129600 144900182533734400 156151255530471424 165910709001125888 195189069413089280 207388386251407360 229634199309516800 243986336766361600 259235482814259200 289800365067468800 312302511060942848 331821418002251776 390378138826178560 414776772502814720 459268398619033600 487972673532723200 518470965628518400 579600730134937600 663642836004503552 780756277652357120 829553545005629440 975945347065446400 1036941931257036800 1327285672009007104 1561512555304714240 1659107090011258880 1951890694130892800 2073883862514073600 2654571344018014208 3318214180022517760 3903781388261785600 4147767725028147200 5309142688036028416 6636428360045035520 7807562776523571200 8295535450056294400 13272856720090071040 16591070900112588800 26545713440180142080 33182141800225177600 66364283600450355200 132728567200900710400
- Sum of all divisors σ(n): 351273648972041722569
- Sum of proper divisors (its aliquot sum) s(n): 218545081771141012169
- 132728567200900710400 is an abundant number, because the sum of its proper divisors (218545081771141012169) is greater than itself. Its abundance is 85816514570240301769
Bases of 132728567200900710400
- Binary: 11100110001111110101001100010100100101001000100000000000000000000002
- Hexadecimal: 0x731FA98A4A4400000
- Base-36: S0EQMBB85EGHS
Squares and roots of 132728567200900710400
- 132728567200900710400 squared (1327285672009007104002) is 17616872551204015841709089039224668160000
- 132728567200900710400 cubed (1327285672009007104003) is 2338262252282185357878493376983906934044416018548260864000000
-
132728567200900710400 is a
perfect square number . Itssquare root is 11520788480 -
The
cube root of 132728567200900710400 is 5100993.8752628731
Scales and comparisons
How big is 132728567200900710400?- 132,728,567,200,900,710,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 132,728,567,200,900,710,400 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 132728567200900710400 cubic inches would be around 425082.8 feet tall.
Recreational maths with 132728567200900710400
- 132728567200900710400 backwards is 004017009002765827231
- 132728567200900710400 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 132728567200900710400's digits is 64
- More coming soon!
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"Number 132728567200900710400 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 132728567200900710400 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/132728567200900710400/
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Numbermatics. 2024. "Number 132728567200900710400 - Facts about the integer". https://numbermatics.com/n/132728567200900710400/
The information we have on file for 132728567200900710400 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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