1331231461331200
1,331,231,461,331,200 is an even composite number composed of seven prime numbers multiplied together.
1331231461331200 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 1331231461331200:
28 × 52 × 11 × 13 × 612 × 331 × 1181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 13 × 61 × 61 × 331 × 1181)See below for interesting mathematical facts about the number 1331231461331200 from the Numbermatics database.
Names of 1331231461331200
- Cardinal: 1331231461331200 can be written as One quadrillion, three hundred thirty-one trillion, two hundred thirty-one billion, four hundred sixty-one million, three hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.3312314613312 × 1015
Factors of 1331231461331200
Divisors of 1331231461331200
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 61 64 65 80 88 100 104 110 122 128 130 143 160 176 200 208 220 244 256 260 275 286 305 320 325 331 352 400 416 440 488 520 550 572 610 640 650 662 671 704 715 793 800 832 880 976 1040 1100 1144 1181 1220 1280 1300 1324 1342 1408 1430 1525 1586 1600 1655 1664 1760 1952 2080 2200 2288 2362 2440 2600 2648 2684 2816 2860 3050 3172 3200 3310 3328 3355 3520 3575 3641 3721 3904 3965 4160 4303 4400 4576 4724 4880 5200 5296 5368 5720 5905 6100 6344 6400 6620 6710 7040 7150 7282 7442 7808 7930 8275 8320 8606 8723 8800 9152 9448 9760 10400 10592 10736 11440 11810 12200 12688 12991 13240 13420 14080 14300 14564 14884 15353 15616 15860 16550 16640 16775 17212 17446 17600 18205 18304 18605 18896 19520 19825 20191 20800 21184 21472 21515 22880 23620 24400 25376 25982 26480 26840 28600 29128 29525 29768 30706 31720 33100 33550 34424 34892 35200 36410 36608 37210 37792 39040 39650 40382 40931 41600 42368 42944 43030 43615 45760 47240 47333 48373 48800 50752 51964 52960 53680 57200 58256 59050 59536 61412 63440 64955 66200 67100 68848 69784 70400 72041 72820 74420 75584 76765 78080 79300 80764 81862 83200 84736 85888 86060 87230 91025 91520 93025 94480 94666 96746 97600 100955 101504 103928 105920 107360 107575 114400 116512 118100 119072 122824 126880 129910 132400 134200 137696 139568 144082 145640 148840 151168 153530 158600 161528 163724 168883 171776 172120 174460 182050 183040 186050 188960 189332 193492 195200 201910 203008 204655 207856 211840 214720 215150 218075 222101 228800 233024 236200 236665 238144 241865 245648 253760 259820 262483 264800 268400 275392 279136 288164 291280 297680 302336 307060 317200 323056 324775 327448 337766 344240 348920 360205 364100 372100 377920 378664 383825 386984 390400 390911 403820 409310 415712 423680 429440 430300 436150 444202 457600 466048 472400 473330 476288 483730 491296 504775 507520 519640 524966 529600 532103 536800 550784 558272 576328 582560 595360 614120 634400 646112 649550 654896 675532 688480 697840 720410 728200 744200 755840 757328 767650 773968 781822 792451 807640 818620 831424 844415 858880 860600 872300 888404 915200 932096 936533 944800 946660 952576 967460 982592 1009550 1015040 1023275 1039280 1049932 1059200 1064206 1073600 1101568 1110505 1116544 1152656 1165120 1183325 1190720 1209325 1228240 1231651 1268800 1292224 1299100 1309792 1312415 1351064 1376960 1395680 1440820 1456400 1488400 1511680 1514656 1535300 1547936 1563644 1584902 1615280 1637240 1662848 1688830 1721200 1744600 1776808 1801025 1873066 1889600 1893320 1934920 1954555 1965184 2019100 2046550 2078560 2099864 2118400 2128412 2147200 2221010 2233088 2305312 2330240 2366650 2381440 2418650 2456480 2463302 2537600 2584448 2598200 2619584 2624830 2660515 2702128 2753920 2791360 2881640 2887313 2912800 2976800 3029312 3070600 3095872 3127288 3169804 3230560 3274480 3325696 3377660 3442400 3489200 3553616 3602050 3746132 3779200 3786640 3869840 3909110 3930368 3962255 4038200 4093100 4157120 4199728 4222075 4256824 4294400 4300021 4394501 4442020 4610624 4660480 4682665 4733300 4762880 4837300 4912960 4926604 5075200 5081843 5168896 5196400 5239168 5249660 5321030 5404256 5507840 5552525 5582720 5763280 5774626 5825600 5953600 6058624 6141200 6158255 6191744 6254576 6339608 6461120 6548960 6562075 6755320 6884800 6978400 7107232 7204100 7492264 7558400 7573280 7739680 7818220 7924510 8076400 8186200 8314240 8399456 8444150 8513648 8600042 8789002 8884040 9221248 9365330 9466600 9674600 9772775 9825920 9853208 10163686 10301863 10392800 10478336 10499320 10642060 10808512 11105050 11165440 11526560 11549252 11651200 11907200 12117248 12282400 12316510 12383488 12509152 12679216 12922240 13097920 13124150 13302575 13510640 13548161 13769600 13956800 14214464 14408200 14436565 14984528 15146560 15479360 15636440 15849020 16011463 16152800 16372400 16628480 16798912 16888300 17027296 17200084 17578004 17768080 18442496 18730660 18933200 19349200 19545550 19651840 19706416 19811275 20327372 20603726 20785600 20998640 21284120 21500105 21617024 21972505 22210100 23053120 23098504 23302400 23413325 23814400 23845571 24564800 24633020 25018304 25358432 25409215 25844480 26195840 26248300 26605150 27021280 27096322 27539200 27913600 28428928 28816400 28873130 29969056 30293120 30791275 30958720 31272880 31698040 32022926 32305600 32744800 33597824 33776600 34054592 34400168 35156008 35536160 37461320 37866400 38698400 39091100 39412832 39622550 40654744 41207452 41571200 41997280 42568240 43000210 43234048 43945010 44420200 46106240 46197008 46826650 47691142 48339511 49129600 49266040 50036608 50716864 50818430 51509315 52391680 52496600 53210300 54042560 54192644 55827200 55900273 56857856 57128513 57632800 57746260 59938112 60586240 61582550 61917440 62545760 63396080 64045852 64611200 65489600 67195648 67553200 67740805 68109184 68800336 70312016 71072320 72182825 74922640 75732800 77396800 78182200 78825664 79245100 80057315 81309488 82414904 83142400 83994560 85136480 86000420 87890020 88840400 92212480 92394016 93653300 95382284 96679022 98259200 98532080 100073216 101433728 101636860 103018630 104993200 106420600 107500525 108085120 108385288 109862525 111800546 114257026 115265600 115492520 119227855 119876224 123165100 125091520 126792160 127046075 128091704 129222400 130979200 135106400 135481610 136218368 137600672 140624032 142144640 144365650 149845280 151465600 154793600 156364400 157651328 158490200 160114630 162618976 164829808 167989120 170272960 172000840 175780040 176126093 177680800 184788032 187306600 190764568 193358044 197064160 202867456 203273720 206037260 209986400 212841200 215001050 216170240 216770576 219725050 223601092 228514052 230531200 230985040 238455710 239752448 241697555 246330200 250183040 253584320 254092150 256183408 257546575 261958400 262301281 270212800 270963220 275201344 279501365 281248064 284289280 285642565 288731300 299690560 302931200 309587200 309992423 312728800 315302656 316980400 320229260 325237952 329659616 335978240 338704025 340545920 344001680 351560080 352252186 355361600 369576064 374613200 381529136 386716088 394128320 400286575 406547440 412074520 419972800 425682400 430002100 433541152 439450100 447202184 457028104 461062400 461970080 476911420 483395110 492660400 500366080 507168640 508184300 512366816 515093150 524602562 540425600 541926440 550402688 559002730 562496128 571285130 577462600 596139275 599381120 619984846 625457600 628413643 633960800 640458520 650475904 659319232 677408050 681091840 688003360 703120160 704504372 710723200 739152128 749226400 763058272 773432176 788256640 800573150 813094880 824149040 839945600 851364800 860004200 867082304 878900200 880630465 894404368 914056208 923940160 953822840 966790220 985320800 1014337280 1016368600 1024733632 1030186300 1049205124 1080851200 1083852880 1100805376 1118005460 1124992256 1142570260 1154925200 1192278550 1198762240 1208487775 1239969692 1250915200 1256827286 1267921600 1280917040 1300951808 1311506405 1318638464 1354816100 1376006720 1397506825 1406240320 1409008744 1421446400 1428212825 1454579831 1498452800 1526116544 1546864352 1549962115 1576513280 1601146300 1626189760 1648298080 1679891200 1702729600 1720008400 1734164608 1757800400 1761260930 1788808736 1828112416 1847880320 1907645680 1933580440 1970641600 2032737200 2049467264 2060372600 2098410248 2167705760 2236010920 2285140520 2309850400 2384557100 2416975550 2479939384 2501830400 2513654572 2535843200 2561834080 2623012810 2637276928 2709632200 2752013440 2795013650 2812480640 2818017488 2856425650 2909159662 2996905600 3052233088 3093728704 3099924230 3142068215 3202292600 3252379520 3296596160 3405459200 3409916653 3440016800 3468329216 3515600800 3522521860 3577617472 3656224832 3695760640 3815291360 3867160880 3941283200 4065474400 4098934528 4120745200 4196820496 4335411520 4403152325 4472021840 4570281040 4619700800 4769114200 4833951100 4959878768 5027309144 5071686400 5123668160 5246025620 5419264400 5504026880 5590027300 5624961280 5636034976 5712851300 5818319324 5993811200 6104466176 6187457408 6199848460 6284136430 6404585200 6504759040 6557532025 6593192320 6819833306 6880033600 7031201600 7045043720 7155234944 7272899155 7312449664 7630582720 7734321760 7749810575 7882566400 8130948800 8241490400 8393640992 8670823040 8806304650 8944043680 9140562080 9239401600 9538228400 9667902200 9919757536 10054618288 10247336320 10492051240 10838528800 11180054600 11272069952 11425702600 11636638648 12374914816 12399696920 12568272860 12809170400 13115064050 13186384640 13639666612 13760067200 14062403200 14090087440 14310469888 14545798310 14624899328 15261165440 15468643520 15499621150 15710341075 16000378141 16261897600 16482980800 16787281984 17049583265 17341646080 17612609300 17888087360 18281124160 18478803200 18909537803 19076456800 19335804400 19839515072 20109236576 20494672640 20984102480 21677057600 22360109200 22544139904 22851405200 23273277296 24799393840 25136545720 25618340800 26230128100 27279333224 27520134400 28124806400 28180174880 29091596620 30522330880 30937287040 30999242300 31420682150 32000756282 32523795200 32965961600 33574563968 34099166530 35225218600 35776174720 36364495775 36562248320 37819075606 38152913600 38671608800 39679030144 40218473152 41968204960 43354115200 44720218400 45088279808 45702810400 46546554592 49598787680 50273091440 51236681600 52460256200 54558666448 56360349760 58183193240 61874574080 61998484600 62841364300 64001512564 65931923200 67149127936 68198333060 70450437200 71552349440 72728991550 73124496640 75638151212 76305827200 77343217600 79358060288 80001890705 80436946304 83936409920 85247916325 86708230400 89440436800 91405620800 93093109184 94547689015 99197575360 100546182880 102473363200 104920512400 109117332896 112720699520 116366386480 123996969200 125682728600 128003025128 136396666120 140900874400 145457983100 151276302424 152611654400 154686435200 160003781410 160873892608 167872819840 170495832650 178880873600 182811241600 186186218368 189095378030 198395150720 201092365760 208004915833 209841024800 218234665792 225441399040 232732772960 247993938400 251365457200 256006050256 272793332240 281801748800 290915966200 302552604848 309372870400 320007562820 335745639680 340991665300 357761747200 365622483200 372372436736 378190756060 396790301440 400009453525 402184731520 416009831666 419682049600 436469331584 465465545920 472738445075 495987876800 502730914400 512012100512 545586664480 563603497600 581831932400 605105209696 640015125640 681983330600 756381512120 800018907050 804369463040 832019663332 839364099200 872938663168 930931091840 945476890150 991975753600 1005461828800 1024024201024 1040024579165 1091173328960 1127206995200 1163663864800 1210210419392 1280030251280 1363966661200 1512763024240 1600037814100 1664039326664 1678728198400 1861862183680 1890953780300 1983951507200 2010923657600 2048048402048 2080049158330 2182346657920 2327327729600 2420420838784 2560060502560 2727933322400 3025526048480 3200075628200 3328078653328 3781907560600 4021847315200 4096096804096 4160098316660 4364693315840 4654655459200 4840841677568 5120121005120 5200122895825 5455866644800 6051052096960 6400151256400 6656157306656 7563815121200 8320196633320 9309310918400 10240242010240 10400245791650 10911733289600 12102104193920 12800302512800 13312314613312 15127630242400 16640393266640 20480484020480 20800491583300 21823466579200 24204208387840 25600605025600 26624629226624 30255260484800 33280786533280 41600983166600 51201210051200 53249258453248 60510520969600 66561573066560 83201966333200 102402420102400 121021041939200 133123146133120 166403932666400 266246292266240 332807865332800 665615730665600 1331231461331200
- Sum of all divisors σ(n): 3950788466229696
- Sum of proper divisors (its aliquot sum) s(n): 2619557004898496
- 1331231461331200 is an abundant number, because the sum of its proper divisors (2619557004898496) is greater than itself. Its abundance is 1288325543567296
Bases of 1331231461331200
- Binary: 1001011101010111111011110100101110111010001000000002
- Hexadecimal: 0x4BABF7A5DD100
- Base-36: D3VRAGP5OG
Squares and roots of 1331231461331200
- 1331231461331200 squared (13312314613312002) is 1772177203638002240876093440000
- 1331231461331200 cubed (13312314613312003) is 2359178048536857328087662132281877987328000000
-
The
square root of 1331231461331200 is 36486044.7477004555 -
The
cube root of 1331231461331200 is 110006.3759756317
Scales and comparisons
How big is 1331231461331200?- 1,331,231,461,331,200 seconds is equal to 42,329,042 years, 36 weeks, 3 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 1,331,231,461,331,200 would take you about one hundred twenty-six million, nine hundred eighty-seven thousand, one hundred twenty-eight 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 1331231461331200 cubic inches would be around 9167.2 feet tall.
Recreational maths with 1331231461331200
- 1331231461331200 backwards is 0021331641321331
- The number of decimal digits it has is: 16
- The sum of 1331231461331200's digits is 34
- More coming soon!
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