131468025913468518400
131,468,025,913,468,518,400 is an even composite number composed of five prime numbers multiplied together.
131468025913468518400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-nine divisors.
Prime factorization of 131468025913468518400:
218 × 52 × 72 × 372 × 172932
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 37 × 37 × 17293 × 17293)See below for interesting mathematical facts about the number 131468025913468518400 from the Numbermatics database.
Names of 131468025913468518400
- Cardinal: 131468025913468518400 can be written as One hundred thirty-one quintillion, four hundred sixty-eight quadrillion, twenty-five trillion, nine hundred thirteen billion, four hundred sixty-eight million, five hundred eighteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.314680259134685184 × 1020
Factors of 131468025913468518400
Divisors of 131468025913468518400
- Number of divisors d(n): 1539
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 37 40 49 50 56 64 70 74 80 98 100 112 128 140 148 160 175 185 196 200 224 245 256 259 280 296 320 350 370 392 400 448 490 512 518 560 592 640 700 740 784 800 896 925 980 1024 1036 1120 1184 1225 1280 1295 1369 1400 1480 1568 1600 1792 1813 1850 1960 2048 2072 2240 2368 2450 2560 2590 2738 2800 2960 3136 3200 3584 3626 3700 3920 4096 4144 4480 4736 4900 5120 5180 5476 5600 5920 6272 6400 6475 6845 7168 7252 7400 7840 8192 8288 8960 9065 9472 9583 9800 10240 10360 10952 11200 11840 12544 12800 12950 13690 14336 14504 14800 15680 16384 16576 17293 17920 18130 18944 19166 19600 20480 20720 21904 22400 23680 25088 25600 25900 27380 28672 29008 29600 31360 32768 33152 34225 34586 35840 36260 37888 38332 39200 40960 41440 43808 44800 45325 47360 47915 50176 51200 51800 54760 57344 58016 59200 62720 65536 66304 67081 68450 69172 71680 72520 75776 76664 78400 81920 82880 86465 87616 89600 90650 94720 95830 100352 102400 103600 109520 114688 116032 118400 121051 125440 131072 132608 134162 136900 138344 143360 145040 151552 153328 156800 163840 165760 172930 175232 179200 181300 189440 191660 200704 204800 207200 219040 229376 232064 236800 239575 242102 250880 262144 265216 268324 273800 276688 286720 290080 303104 306656 313600 327680 331520 335405 345860 350464 358400 362600 378880 383320 401408 409600 414400 432325 438080 458752 464128 473600 479150 484204 501760 530432 536648 547600 553376 573440 580160 605255 606208 613312 627200 639841 655360 663040 670810 691720 700928 716800 725200 757760 766640 802816 819200 828800 847357 864650 876160 917504 928256 947200 958300 968408 1003520 1060864 1073296 1095200 1106752 1146880 1160320 1210510 1212416 1226624 1254400 1279682 1310720 1326080 1341620 1383440 1401856 1433600 1450400 1515520 1533280 1605632 1638400 1657600 1677025 1694714 1729300 1752320 1835008 1856512 1894400 1916600 1936816 2007040 2121728 2146592 2190400 2213504 2293760 2320640 2421020 2424832 2453248 2508800 2559364 2652160 2683240 2766880 2803712 2867200 2900800 3026275 3031040 3066560 3199205 3211264 3276800 3315200 3354050 3389428 3458600 3504640 3713024 3788800 3833200 3873632 4014080 4236785 4243456 4293184 4380800 4427008 4478887 4587520 4641280 4842040 4849664 4906496 5017600 5118728 5304320 5366480 5533760 5607424 5734400 5801600 6052550 6062080 6133120 6398410 6422528 6553600 6630400 6708100 6778856 6917200 7009280 7426048 7577600 7666400 7747264 8028160 8473570 8486912 8586368 8761600 8854016 8957774 9175040 9282560 9684080 9699328 9812992 10035200 10237456 10608640 10732960 11067520 11214848 11468800 11603200 12105100 12124160 12266240 12796820 12845056 13260800 13416200 13557712 13834400 14018560 14852096 15155200 15332800 15494528 15996025 16056320 16947140 16973824 17172736 17523200 17708032 17915548 18565120 19368160 19625984 20070400 20474912 21183925 21217280 21465920 22135040 22394435 22429696 22937600 23206400 23674117 24210200 24248320 24532480 25593640 26521600 26832400 27115424 27668800 28037120 29704192 30310400 30665600 30989056 31352209 31992050 32112640 33894280 33947648 34345472 35046400 35416064 35831096 37130240 38736320 39251968 40140800 40949824 42367850 42434560 42931840 44270080 44788870 44859392 45875200 46412800 47348234 48420400 48496640 49064960 51187280 53043200 53664800 54230848 55337600 56074240 59408384 60620800 61331200 61978112 62704418 63984100 64225280 67788560 67895296 68690944 70092800 70832128 71662192 74260480 77472640 78503936 80281600 81899648 84735700 84869120 85863680 88540160 89577740 89718784 92825600 94696468 96840800 98129920 102374560 106086400 107329600 108461696 110675200 111972175 112148480 118370585 118816768 121241600 122662400 123956224 125408836 127968200 135577120 137381888 140185600 141664256 143324384 148520960 154945280 156761045 157007872 160563200 163799296 165718819 169471400 169738240 171727360 177080320 179155480 179437568 185651200 189392936 193681600 196259840 204749120 212172800 214659200 216923392 221350400 223944350 224296960 236741170 237633536 242483200 245324800 247912448 250817672 255936400 271154240 274763776 280371200 283328512 286648768 297041920 299047849 309890560 313522090 314015744 321126400 327598592 331437638 338942800 339476480 343454720 354160640 358310960 358875136 371302400 378785872 387363200 392519680 409498240 424345600 429318400 433846784 442700800 447888700 448593920 473482340 475267072 490649600 495824896 501635344 511872800 542308480 549527552 560742400 566657024 573297536 591852925 594083840 598095698 619781120 627044180 628031488 655197184 662875276 677885600 686909440 708321280 716621920 742604800 757571744 774726400 783805225 785039360 818996480 828594095 848691200 858636800 867693568 885401600 895777400 897187840 946964680 981299200 991649792 1003270688 1023745600 1084616960 1099055104 1121484800 1133314048 1146595072 1160031733 1183705850 1188167680 1196191396 1239562240 1254088360 1256062976 1310394368 1325750552 1355771200 1373818880 1416642560 1433243840 1485209600 1495239245 1515143488 1549452800 1567610450 1570078720 1637992960 1657188190 1697382400 1717273600 1735387136 1770803200 1791554800 1794375680 1893929360 1962598400 1983299584 2006541376 2047491200 2093334943 2169233920 2198110208 2242969600 2266628096 2293190144 2320063466 2367411700 2376335360 2392382792 2479124480 2508176720 2512125952 2620788736 2651501104 2711542400 2747637760 2833285120 2866487680 2970419200 2990478490 3030286976 3098905600 3135220900 3140157440 3275985920 3314376380 3434547200 3470774272 3541606400 3583109600 3787858720 3925196800 3966599168 4013082752 4094982400 4142970475 4186669886 4338467840 4396220416 4485939200 4533256192 4586380288 4640126932 4734823400 4784765584 4958248960 5016353440 5241577472 5303002208 5423084800 5495275520 5666570240 5732975360 5800158665 5940838400 5980956980 6060573952 6197811200 6270441800 6280314880 6551971840 6628752760 6869094400 6941548544 7083212800 7166219200 7476196225 7575717440 7850393600 7933198336 8026165504 8189964800 8285940950 8373339772 8676935680 8792440832 8971878400 9172760576 9280253864 9469646800 9569531168 9916497920 10032706880 10466674715 10483154944 10606004416 10846169600 10990551040 11064770413 11333140480 11465950720 11600317330 11881676800 11961913960 12121147904 12395622400 12540883600 12560629760 13103943680 13257505520 13738188800 13883097088 14166425600 14332438400 14653344601 14952392450 15151434880 15700787200 15866396672 16052331008 16379929600 16571881900 16746679544 17353871360 17584881664 18345521152 18560507728 18939293600 19139062336 19832995840 20065413760 20933349430 20966309888 21212008832 21692339200 21981102080 22129540826 22666280960 22931901440 23200634660 23923827920 24242295808 24791244800 25081767200 26207887360 26515011040 27476377600 27766194176 28332851200 28664876800 29000793325 29306689202 29904784900 30302869760 31401574400 31732793344 32104662016 32759859200 33143763800 33493359088 34707742720 36691042304 37121015456 37878587200 38278124672 39665991680 40130827520 41866698860 41932619776 42424017664 43384678400 43962204160 44259081652 45863802880 46401269320 47847655840 48484591616 49582489600 50163534400 52333373575 52415774720 53030022080 54952755200 55323852065 55532388352 56665702400 57329753600 58001586650 58613378404 59809569800 60605739520 62803148800 64209324032 65519718400 66287527600 66986718176 69415485440 73266723005 73382084608 74242030912 75757174400 76556249344 77453392891 79331983360 80261655040 83733397720 83865239552 84848035328 86769356800 87924408320 88518163304 91727605760 92802538640 95695311680 96969183232 99164979200 100327068800 104666747150 104831549440 106060044160 109905510400 110647704130 111064776704 113331404800 114659507200 116003173300 117226756808 119619139600 121211479040 128418648064 131039436800 132575055200 133973436352 138830970880 146533446010 146764169216 148484061824 151514348800 153112498688 154906785782 158663966720 160523310080 167466795440 167730479104 169696070656 173538713600 177036326608 183455211520 185605077280 191390623360 193938366464 198329958400 200654137600 209333494300 209663098880 212120088320 219811020800 221295408260 222129553408 229319014400 232006346600 234453513616 239238279200 242422958080 256837296128 262078873600 265150110400 267946872704 276619260325 277661941760 293066892020 293528338432 296968123648 303028697600 306224997376 309813571564 321046620160 334933590880 339392141312 347077427200 354072653216 366333615025 366910423040 371210154560 382781246720 387266964455 387876732928 396659916800 401308275200 409396505281 418666988600 419326197760 424240176640 439622041600 442590816520 458638028800 464012693200 468907027232 478476558400 484845916160 513674592256 524157747200 530300220800 535893745408 542173750237 553238520650 555323883520 586133784040 587056676864 593936247296 606057395200 612449994752 619627143128 642093240320 669867181760 678784282624 694154854400 708145306432 732667230050 733820846080 742420309120 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3062249973760 3098135715640 3103013863424 3210466201600 3275172042248 3349335908800 3393921413120 3540726532160 3669104230400 3712101545600 3751256217856 3827812467200 3872669644550 3878767329280 4093965052810 4109396738048 4193261977600 4242401766400 4287149963264 4337390001896 4425908165200 4689070272320 4751489978368 4848459161600 4899599958016 4957017145024 5136745922560 5358937454080 5421737502370 5430274260992 5553238835200 5665162451456 5731551073934 5861337840400 5870566768640 5939362472960 6124499947520 6196271431280 6206027726848 6420932403200 6550344084496 6698671817600 6787842826240 7081453064320 7338208460800 7424203091200 7502512435712 7655624934400 7745339289100 7757534658560 8187930105620 8218793476096 8484803532800 8574299926528 8674780003792 8851816330400 9378140544640 9502979956736 9696918323200 9799199916032 9914034290048 10234912632025 10273491845120 10717874908160 10843475004740 10860548521984 11330324902912 11463102147868 11722675680800 11878724945920 12248999895040 12392542862560 12841864806400 13100688168992 13397343635200 13554343755925 13575685652480 14162906128640 14328877684835 14676416921600 14848406182400 15005024871424 15311249868800 15490678578200 15515069317120 16375860211240 16969607065600 17148599853056 17349560007584 17703632660800 18756281089280 19005959913472 19393836646400 19598399832064 19828068580096 20060428758769 20469825264050 20546983690240 21435749816320 21686950009480 21721097043968 22660649805824 22926204295736 23445351361600 23757449891840 24497999790080 24785085725120 25683729612800 26201376337984 26794687270400 27108687511850 27151371304960 28325812257280 28657755369670 29352833843200 29696812364800 30010049742848 30622499737600 30981357156400 31030138634240 32751720422480 33939214131200 34297199706112 34699120015168 35407265321600 37512562178560 38011919826944 38787673292800 39196799664128 39656137160192 40120857517538 40939650528100 41093967380480 42871499632640 43373900018960 43442194087936 45321299611648 45852408591472 46890702723200 47514899783680 48995999580160 49570171450240 51367459225600 52402752675968 53589374540800 54217375023700 54302742609920 56651624514560 57315510739340 59393624729600 60020099485696 61244999475200 61962714312800 65503440844960 67878428262400 68594399412224 69398240030336 70814530643200 71644388424175 75025124357120 76023839653888 77575346585600 78393599328256 79312274320384 80241715035076 81879301056200 85742999265280 86747800037920 90642599223296 91704817182944 93781405446400 95029799567360 97991999160320 99140342900480 100302143793845 102734918451200 104805505351936 107178749081600 108434750047400 108605485219840 113303249029120 114631021478680 118787249459200 120040198971392 122489998950400 123925428625600 131006881689920 135756856524800 137188798824448 138796480060672 141629061286400 143288776848350 150050248714240 152047679307776 155150693171200 158624548640768 160483430070152 163758602112400 171485998530560 173495600075840 181285198446592 183409634365888 187562810892800 190059599134720 195983998320640 198280685800960 200604287587690 205469836902400 209611010703872 214357498163200 216869500094800 217210970439680 226606498058240 229262042957360 237574498918400 240080397942784 244979997900800 247850857251200 262013763379840 271513713049600 274377597648896 277592960121344 283258122572800 286577553696700 300100497428480 304095358615552 317249097281536 320966860140304 327517204224800 342971997061120 346991200151680 362570396893184 366819268731776 375125621785600 380119198269440 391967996641280 396561371601920 401208575175380 419222021407744 428714996326400 433739000189600 453212996116480 458524085914720 475148997836800 480160795885568 489959995801600 495701714502400 501510718969225 524027526759680 543027426099200 548755195297792 555185920242688 566516245145600 573155107393400 600200994856960 634498194563072 641933720280608 655034408449600 685943994122240 693982400303360 725140793786368 733638537463552 750251243571200 760238396538880 793122743203840 802417150350760 838444042815488 857429992652800 867478000379200 906425992232960 917048171829440 950297995673600 960321591771136 979919991603200 991403429004800 1003021437938450 1048055053519360 1086054852198400 1110371840485376 1133032490291200 1146310214786800 1200401989713920 1268996389126144 1283867440561216 1310068816899200 1371887988244480 1387964800606720 1450281587572736 1467277074927104 1500502487142400 1520476793077760 1586245486407680 1604834300701520 1676888085630976 1714859985305600 1734956000758400 1812851984465920 1834096343658880 1900595991347200 1920643183542272 1959839983206400 1982806858009600 2006042875876900 2096110107038720 2220743680970752 2266064980582400 2292620429573600 2400803979427840 2537992778252288 2567734881122432 2620137633798400 2743775976488960 2775929601213440 2900563175145472 2934554149854208 3001004974284800 3172490972815360 3209668601403040 3353776171261952 3429719970611200 3469912001516800 3625703968931840 3668192687317760 3801191982694400 3841286367084544 3965613716019200 4012085751753800 4192220214077440 4441487361941504 4532129961164800 4585240859147200 4801607958855680 5075985556504576 5135469762244864 5240275267596800 5551859202426880 5869108299708416 6002009948569600 6344981945630720 6419337202806080 6707552342523904 6859439941222400 6939824003033600 7251407937863680 7336385374635520 7602383965388800 7931227432038400 8024171503507600 8384440428154880 8882974723883008 9064259922329600 9170481718294400 9603215917711360 10151971113009152 10270939524489728 10480550535193600 11103718404853760 11738216599416832 12004019897139200 12689963891261440 12838674405612160 13415104685047808 13718879882444800 13879648006067200 14502815875727360 14672770749271040 15862454864076800 16048343007015200 16768880856309760 17765949447766016 18128519844659200 18340963436588800 19206431835422720 20303942226018304 20541879048979456 20961101070387200 22207436809707520 23476433198833664 24008039794278400 25379927782522880 25677348811224320 26830209370095616 27759296012134400 29345541498542080 31724909728153600 32096686014030400 33537761712619520 35531898895532032 36257039689318400 36681926873177600 41083758097958912 41922202140774400 44414873619415040 46952866397667328 48016079588556800 50759855565045760 51354697622448640 53660418740191232 55518592024268800 58691082997084160 63449819456307200 64193372028060800 67075523425239040 71063797791064064 72514079378636800 73363853746355200 82167516195917824 83844404281548800 88829747238830080 93905732795334656 96032159177113600 101519711130091520 102709395244897280 107320837480382464 111037184048537600 117382165994168320 126899638912614400 128386744056121600 134151046850478080 142127595582128128 146727707492710400 164335032391835648 167688808563097600 177659494477660160 187811465590669312 205418790489794560 222074368097075200 234764331988336640 253799277825228800 256773488112243200 268302093700956160 293455414985420800 328670064783671296 335377617126195200 355318988955320320 375622931181338624 410837580979589120 444148736194150400 469528663976673280 507598555650457600 513546976224486400 536604187401912320 586910829970841600 657340129567342592 670755234252390400 710637977910640640 751245862362677248 821675161959178240 888297472388300800 939057327953346560 1027093952448972800 1173821659941683200 1314680259134685184 1341510468504780800 1643350323918356480 1776594944776601600 1878114655906693120 2054187904897945600 2347643319883366400 2629360518269370368 2683020937009561600 3286700647836712960 3553189889553203200 3756229311813386240 4108375809795891200 4695286639766732800 5258721036538740736 6573401295673425920 8216751619591782400 9390573279533465600 13146802591346851840 16433503239183564800 18781146559066931200 26293605182693703680 32867006478367129600 65734012956734259200 131468025913468518400
- Sum of all divisors σ(n): 389821271555670064929
- Sum of proper divisors (its aliquot sum) s(n): 258353245642201546529
- 131468025913468518400 is an abundant number, because the sum of its proper divisors (258353245642201546529) is greater than itself. Its abundance is 126885219728733028129
Bases of 131468025913468518400
- Binary: 11100100000011111000100000100000101010101100010010000000000000000002
- Hexadecimal: 0x7207C410556240000
- Base-36: RQTYTPY4VUAKG
Squares and roots of 131468025913468518400
- 131468025913468518400 squared (1314680259134685184002) is 17283841837584429861873054107891138560000
- 131468025913468518400 cubed (1314680259134685184003) is 2272272566587841160329655805116480286302896088892309504000000
-
131468025913468518400 is a
perfect square number . Itssquare root is 11465950720 -
The
cube root of 131468025913468518400 is 5084794.2050678199
Scales and comparisons
How big is 131468025913468518400?- 131,468,025,913,468,518,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 131,468,025,913,468,518,400 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 131468025913468518400 cubic inches would be around 423732.9 feet tall.
Recreational maths with 131468025913468518400
- 131468025913468518400 backwards is 004815864319520864131
- The number of decimal digits it has is: 21
- The sum of 131468025913468518400's digits is 79
- More coming soon!
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"Number 131468025913468518400 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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The information we have on file for 131468025913468518400 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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