131125786189048814400
131,125,786,189,048,814,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 131125786189048814400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
131125786189048814400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 131125786189048814400:
26 × 32 × 52 × 17 × 139 × 271 × 14219770937
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 17 × 139 × 271 × 14219770937)See below for interesting mathematical facts about the number 131125786189048814400 from the Numbermatics database.
Names of 131125786189048814400
- Cardinal: 131125786189048814400 can be written as One hundred thirty-one quintillion, one hundred twenty-five quadrillion, seven hundred eighty-six trillion, one hundred eighty-nine billion, forty-eight million, eight hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.311257861890488144 × 1020
Factors of 131125786189048814400
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 14219771374
Divisors of 131125786189048814400
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 32 34 36 40 45 48 50 51 60 64 68 72 75 80 85 90 96 100 102 120 136 139 144 150 153 160 170 180 192 200 204 225 240 255 271 272 278 288 300 306 320 340 360 400 408 417 425 450 480 510 542 544 556 576 600 612 680 695 720 765 800 813 816 834 850 900 960 1020 1084 1088 1112 1200 1224 1251 1275 1355 1360 1390 1440 1530 1600 1626 1632 1668 1700 1800 2040 2085 2168 2224 2363 2400 2439 2448 2502 2550 2710 2720 2780 2880 3060 3252 3264 3336 3400 3475 3600 3825 4065 4080 4170 4336 4448 4607 4726 4800 4878 4896 5004 5100 5420 5440 5560 6120 6255 6504 6672 6775 6800 6950 7089 7200 7650 8130 8160 8340 8672 8896 9214 9452 9756 9792 10008 10200 10425 10840 11120 11815 12195 12240 12510 13008 13344 13550 13600 13821 13900 14178 14400 15300 16260 16320 16680 17344 18428 18904 19512 20016 20325 20400 20850 21267 21680 22240 23035 23630 24390 24480 25020 26016 26688 27100 27200 27642 27800 28356 30600 31275 32520 33360 35445 36856 37669 37808 39024 40032 40650 40800 41463 41700 42534 43360 44480 46070 47260 48780 48960 50040 52032 54200 55284 55600 56712 59075 60975 61200 62550 65040 66720 69105 70890 73712 75338 75616 78048 80064 81300 81600 82926 83400 85068 86720 92140 94520 97560 100080 106335 108400 110568 111200 113007 113424 115175 118150 121950 122400 125100 130080 133440 138210 141780 147424 150676 151232 156096 162600 165852 166800 170136 177225 184280 188345 189040 195120 200160 207315 212670 216800 221136 222400 226014 226848 230350 236300 243900 244800 250200 260160 276420 283560 294848 301352 325200 331704 333600 339021 340272 345525 354450 368560 376690 378080 390240 400320 414630 425340 433600 442272 452028 453696 460700 472600 487800 500400 531675 552840 565035 567120 602704 640373 650400 663408 667200 678042 680544 691050 708900 737120 753380 756160 780480 829260 850680 884544 904056 921400 941725 945200 975600 1000800 1036575 1063350 1105680 1130070 1134240 1205408 1280746 1300800 1326816 1356084 1361088 1382100 1417800 1474240 1506760 1658520 1695105 1701360 1808112 1842800 1883450 1890400 1921119 1951200 2001600 2073150 2126700 2211360 2260140 2268480 2410816 2561492 2653632 2712168 2764200 2825175 2835600 3013520 3201865 3317040 3390210 3402720 3616224 3685600 3766900 3780800 3842238 3902400 4146300 4253400 4422720 4520280 5122984 5424336 5528400 5650350 5671200 5763357 6027040 6403730 6634080 6780420 6805440 7232448 7371200 7533800 7684476 8292600 8475525 8506800 9040560 9605595 10245968 10848672 11056800 11300700 11342400 11526714 12054080 12807460 13268160 13560840 15067600 15368952 16009325 16585200 16951050 17013600 18081120 19211190 20491936 21697344 22113600 22601400 23053428 25614920 27121680 28816785 30135200 30737904 32018650 33170400 33902100 34027200 36162240 38422380 40983872 45202800 46106856 48027975 51229840 54243360 57633570 60270400 61475808 64037300 66340800 67804200 76844760 90405600 92213712 96055950 102459680 108486720 115267140 122951616 128074600 135608400 144083925 153689520 180811200 184427424 192111900 204919360 230534280 256149200 271216800 288167850 307379040 368854848 384223800 461068560 512298400 542433600 576335700 614758080 768447600 922137120 1024596800 1152671400 1536895200 1844274240 2305342800 3073790400 4610685600 9221371200 14219770937 28439541874 42659312811 56879083748 71098854685 85318625622 113758167496 127977938433 142197709370 170637251244 213296564055 227516334992 241736105929 255955876866 284395418740 341274502488 355494273425 426593128110 455032669984 483472211858 511911753732 568790837480 639889692165 682549004976 710988546850 725208317787 853186256220 910065339968 966944423716 1023823507464 1066482820275 1137581674960 1208680529645 1279779384330 1365098009952 1421977093700 1450416635574 1706372512440 1933888847432 1976548160243 2047647014928 2132965640550 2175624953361 2275163349920 2417361059290 2559558768660 2730196019904 2843954187400 2900833271148 3199448460825 3412745024880 3626041588935 3853557923927 3867777694864 3953096320486 4095294029856 4265931281100 4351249906722 4550326699840 4834722118580 5119117537320 5687908374800 5801666542296 5929644480729 6043402648225 6398896921650 6825490049760 7252083177870 7707115847854 7735555389728 7906192640972 8190588059712 8531862562200 8702499813444 9669444237160 9882740801215 10238235074640 10878124766805 11375816749600 11560673771781 11603333084592 11859288961458 12086805296450 12797793843300 13650980099520 14504166355740 15414231695708 15471110779456 15812385281944 17063725124400 17404999626888 17788933442187 18130207944675 19267789619635 19338888474320 19765481602430 20476470149280 21756249533610 22751633499200 23121347543562 23206666169184 23718577922916 24173610592900 25595587686600 29008332711480 29648222403645 30828463391416 31624770563888 33601318724131 34127450248800 34682021315343 34809999253776 35577866884374 36260415889350 38535579239270 38677776948640 39530963204860 40952940298560 43512499067220 46242695087124 46413332338368 47437155845832 48347221185800 49413704006075 51191175373200 54390623834025 57803368858905 58016665422960 59296444807290 61656926782832 63249541127776 65510484706759 67202637448262 68254900497600 69364042630686 69619998507552 71155733768748 72520831778700 77071158478540 77355553897280 79061926409720 87024998134440 88944667210935 92485390174248 94874311691664 96338948098175 96694442371600 98827408012150 100803956172393 102382350746400 108781247668050 115606737717810 116033330845920 118592889614580 123313853565664 126499082255552 131020969413518 134405274896524 138728085261372 139239997015104 142311467537496 145041663557400 148241112018225 154142316957080 158123852819440 168006593620655 173410106576715 174049996268880 177889334421870 184970780348496 189748623383328 192677896196350 193388884743200 196531454120277 197654816024300 201607912344786 204764701492800 217562495336100 231213475435620 232066661691840 237185779229160 246627707131328 262041938827036 268810549793048 277456170522744 284622935074992 289016844294525 290083327114800 296482224036450 302411868517179 308284633914160 316247705638880 327552423533795 336013187241310 346820213153430 348099992537760 355778668843740 369941560696992 379497246766656 385355792392700 386777769486400 393062908240554 395309632048600 403215824689572 435124990672200 444723336054675 462426950871240 474371558458320 504019780861965 524083877654072 535644551425853 537621099586096 554912341045488 569245870149984 578033688589050 580166654229600 589594362360831 592964448072900 604823737034358 616569267828320 632495411277760 655104847067590 672026374482620 693640426306860 696199985075520 711557337687480 739883121393984 770711584785400 786125816481108 790619264097200 806431649379144 840032968103275 867050532883575 870249981344400 889446672109350 924853901742480 948743116916640 982657270601385 1008039561723930 1048167755308144 1071289102851706 1075242199172192 1109824682090976 1138491740299968 1156067377178100 1160333308459200 1179188724721662 1185928896145800 1209647474068716 1233138535656640 1310209694135180 1344052748965240 1387280852613720 1423114675374960 1512059342585895 1541423169570800 1572251632962216 1581238528194400 1606933654277559 1612863298758288 1637762117668975 1680065936206550 1734101065767150 1740499962688800 1778893344218700 1849707803484960 1897486233833280 1965314541202770 2016079123447860 2096335510616288 2142578205703412 2150484398344384 2219649364181952 2312134754356200 2358377449443324 2371857792291600 2419294948137432 2520098904309825 2620419388270360 2678222757129265 2688105497930480 2774561705227440 2846229350749920 2947971811804155 3024118685171790 3082846339141600 3144503265924432 3162477056388800 3213867308555118 3225726597516576 3275524235337950 3360131872413100 3468202131534300 3480999925377600 3557786688437400 3699415606969920 3930629082405540 4032158246895720 4192671021232576 4285156411406824 4624269508712400 4716754898886648 4743715584583200 4820800962832677 4838589896274864 4913286353006925 5040197808619650 5240838776540720 5356445514258530 5376210995860960 5549123410454880 5692458701499840 5895943623608310 6048237370343580 6165692678283200 6289006531848864 6427734617110236 6451453195033152 6551048470675900 6720263744826200 6936404263068600 7115573376874800 7560296712929475 7861258164811080 8034668271387795 8064316493791440 8570312822813648 9105957374239501 9248539017424800 9433509797773296 9487431169166400 9641601925665354 9677179792549728 9826572706013850 10080395617239300 10481677553081440 10712891028517060 10752421991721920 11098246820909760 11791887247216620 12096474740687160 12578013063697728 12855469234220472 13102096941351800 13391113785646325 13440527489652400 13872808526137200 14231146753749600 14739859059020775 15120593425858950 15722516329622160 16069336542775590 16128632987582880 17140625645627296 18211914748479002 18497078034849600 18867019595546592 19283203851330708 19354359585099456 19653145412027700 20160791234478600 20963355106162880 21425782057034120 23583774494433240 24104004814163385 24192949481374320 25710938468440944 26204193882703600 26782227571292650 26881054979304800 27317872122718503 27745617052274400 28462293507499200 29479718118041550 30241186851717900 31445032659244320 32138673085551180 32257265975165760 34281251291254592 36423829496958004 37734039191093184 38566407702661416 39306290824055400 40173341356938975 40321582468957200 42851564114068240 45529786871197505 47167548988866480 48208009628326770 48385898962748640 51421876936881888 52408387765407200 53564455142585300 53762109958609600 54635744245437006 55491234104548800 58959436236083100 60482373703435800 62890065318488640 64277346171102360 72847658993916008 77132815405322832 78612581648110800 80346682713877950 80643164937914400 81953616368155509 85703128228136480 91059573742395010 94335097977732960 96416019256653540 96771797925497280 102843753873763776 104816775530814400 107128910285170600 109271488490874012 117918872472166200 120520024070816925 120964747406871600 128554692342204720 136589360613592515 145695317987832016 154265630810645664 157225163296221600 160693365427755900 161286329875828800 163907232736311018 171406256456272960 182119147484790020 188670195955465920 192832038513307080 214257820570341200 218542976981748024 227648934355987525 235837744944332400 241040048141633850 241929494813743200 257109384684409440 273178721227185030 291390635975664032 308531261621291328 314450326592443200 321386730855511800 327814465472622036 364238294969580040 385664077026614160 409768081840777545 428515641140682400 437085953963496048 455297868711975050 471675489888664800 482080096283267700 483858989627486400 514218769368818880 546357442454370060 582781271951328064 642773461711023600 655628930945244072 682946803067962575 728476589939160080 771328154053228320 819536163681555090 857031282281364800 874171907926992096 910595737423950100 943350979777329600 964160192566535400 1092714884908740120 1285546923422047200 1311257861890488144 1365893606135925150 1456953179878320160 1542656308106456640 1639072327363110180 1748343815853984192 1821191474847900200 1928320385133070800 2048840409203887725 2185429769817480240 2571093846844094400 2622515723780976288 2731787212271850300 2913906359756640320 3278144654726220360 3642382949695800400 3856640770266141600 4097680818407775450 4370859539634960480 5245031447561952576 5463574424543700600 6556289309452440720 7284765899391600800 7713281540532283200 8195361636815550900 8741719079269920960 10927148849087401200 13112578618904881440 14569531798783201600 16390723273631101800 21854297698174802400 26225157237809762880 32781446547262203600 43708595396349604800 65562893094524407200 131125786189048814400
- Sum of all divisors σ(n): 498850960141184152320
- Sum of proper divisors (its aliquot sum) s(n): 367725173952135337920
- 131125786189048814400 is an abundant number, because the sum of its proper divisors (367725173952135337920) is greater than itself. Its abundance is 236599387763086523520
Bases of 131125786189048814400
- Binary: 11100011011101111000101111111001110000001000001001110011011010000002
- Hexadecimal: 0x71BBC5FCE04139B40
- Base-36: RO8CZV3806DS0
Squares and roots of 131125786189048814400
- 131125786189048814400 squared (1311257861890488144002) is 17193971803696144796875691026045647360000
- 131125786189048814400 cubed (1311257861890488144003) is 2254573070471994675975921041783460194613474113688489984000000
-
The
square root of 131125786189048814400 is 11451016819.0012197885 -
The
cube root of 131125786189048814400 is 5080378.0975561421
Scales and comparisons
How big is 131125786189048814400?- 131,125,786,189,048,814,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 131,125,786,189,048,814,400 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 131125786189048814400 cubic inches would be around 423364.8 feet tall.
Recreational maths with 131125786189048814400
- 131125786189048814400 backwards is 004418840981687521131
- The number of decimal digits it has is: 21
- The sum of 131125786189048814400's digits is 81
- More coming soon!
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The information we have on file for 131125786189048814400 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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