13427347746200700
13,427,347,746,200,700 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13427347746200700 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1944 divisors.
13427347746200700 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 13427347746200700:
22 × 3 × 52 × 13 × 292 × 412 × 732 × 457
(2 × 2 × 3 × 5 × 5 × 13 × 29 × 29 × 41 × 41 × 73 × 73 × 457)See below for interesting mathematical facts about the number 13427347746200700 from the Numbermatics database.
Names of 13427347746200700
- Cardinal: 13427347746200700 can be written as Thirteen quadrillion, four hundred twenty-seven trillion, three hundred forty-seven billion, seven hundred forty-six million, two hundred thousand, seven hundred.
Scientific notation
- Scientific notation: 1.34273477462007 × 1016
Factors of 13427347746200700
Divisors of 13427347746200700
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 5 6 10 12 13 15 20 25 26 29 30 39 41 50 52 58 60 65 73 75 78 82 87 100 116 123 130 145 146 150 156 164 174 195 205 219 246 260 290 292 300 325 348 365 377 390 410 435 438 457 492 533 580 615 650 725 730 754 780 820 841 870 876 914 949 975 1025 1066 1095 1131 1189 1230 1300 1371 1450 1460 1508 1599 1681 1682 1740 1825 1828 1885 1898 1950 2050 2117 2132 2175 2190 2262 2285 2378 2460 2523 2665 2742 2847 2900 2993 3075 3198 3362 3364 3567 3650 3770 3796 3900 4100 4205 4234 4350 4380 4524 4570 4745 4756 5043 5046 5329 5330 5475 5484 5655 5694 5941 5945 5986 6150 6351 6396 6724 6855 7134 7300 7540 7995 8405 8410 8468 8700 8979 9140 9425 9490 10086 10092 10585 10658 10660 10933 10950 11310 11388 11425 11882 11890 11972 12300 12615 12702 13253 13325 13710 14235 14268 14965 15457 15987 15990 16810 16820 17823 17835 17958 18737 18850 18980 20172 21025 21170 21316 21853 21866 21900 22620 22850 23725 23764 23780 25215 25230 25404 26506 26645 26650 27420 27521 28275 28470 29705 29725 29930 30914 31755 31974 31980 32799 33361 33620 34275 34481 35646 35670 35916 37474 37700 38909 39759 39975 42025 42050 42340 43706 43732 44895 45700 46371 47450 48749 50430 50460 52925 53012 53290 53300 54665 55042 56211 56550 56940 59410 59450 59860 61393 61828 63075 63510 63948 65559 65598 66265 66722 68550 68962 69277 71175 71292 71340 74825 74948 77285 77818 79518 79935 79950 82563 84050 84100 86797 87412 89115 89175 89790 92742 93685 94900 97498 100083 100860 103443 105850 106580 109265 109330 110084 112422 113100 116727 118820 118900 122713 122786 126075 126150 127020 131118 131196 132530 133225 133444 137100 137605 137924 138554 142350 146247 148525 149650 154541 154570 155636 158775 159036 159870 159900 163995 165126 166805 168100 172289 172405 173594 178230 178350 179580 184179 185484 187370 194545 194996 198795 200166 206886 207831 211700 218489 218530 218660 224475 224844 231855 233454 243581 243745 245426 245572 252150 252300 260391 262236 265060 266450 273325 275210 277108 281055 284700 292494 297050 299300 306965 309082 309140 317550 319740 327795 327990 330252 331325 333610 344578 344810 346385 347188 356460 356700 368139 368358 374740 384337 386425 389090 397590 399675 400332 412815 413772 415662 433693 433985 436978 437060 445575 448253 448950 463623 463710 466908 468425 487162 487490 490852 500415 504300 516867 517215 520782 532900 543373 546325 546650 550420 562110 583635 584988 594100 613565 613930 618164 633737 635100 655467 655590 655980 662650 667220 688025 689156 689620 692770 730743 731235 736278 736716 768217 768674 772705 772850 778180 795180 798109 799350 819975 825630 831324 834025 861445 862025 867386 867970 873956 891150 896506 897900 920895 927246 927420 936850 967469 972725 974324 974980 993975 1000830 1033734 1034430 1039155 1041564 1086746 1092445 1092650 1093300 1124220 1128361 1153011 1159275 1167270 1217905 1218725 1227130 1227860 1267474 1301079 1301955 1310934 1311180 1325300 1344759 1367801 1376050 1385540 1405275 1413721 1461486 1462470 1472556 1534825 1536434 1537348 1545410 1545700 1595269 1596218 1598700 1630119 1638975 1639950 1651260 1668050 1722890 1724050 1731925 1734772 1735940 1782300 1793012 1840695 1841790 1854492 1873700 1901211 1921685 1934938 1945450 1987950 2001660 2009033 2064075 2067468 2068860 2078310 2168465 2169925 2173492 2184890 2185300 2241265 2256722 2304651 2306022 2318115 2318550 2334540 2394327 2435353 2435810 2437450 2454260 2502075 2517113 2534948 2584335 2586075 2602158 2603910 2621868 2689518 2716865 2735602 2752100 2810550 2827442 2840357 2902407 2918175 2922972 2924940 3067825 3069650 3072868 3090820 3168685 3190538 3192436 3260238 3277335 3277950 3279900 3336100 3385083 3445780 3448100 3463850 3558677 3653715 3656175 3681390 3683580 3802422 3841085 3843370 3863525 3869876 3890900 3975900 3990545 4018066 4103403 4128150 4156620 4241163 4307225 4336930 4339850 4369780 4481689 4482530 4513444 4604475 4609302 4612044 4636230 4637100 4785807 4788654 4837345 4870706 4871620 4874900 4996381 5004150 5034226 5168670 5172150 5195775 5204316 5207820 5379036 5433730 5462225 5471204 5621100 5641805 5654884 5680714 5765055 5804814 5836350 6027099 6089525 6135650 6139300 6336181 6337370 6381076 6505395 6509775 6520476 6554670 6555900 6723795 6770166 6839005 6927700 7063849 7068605 7117354 7306059 7307430 7312350 7362780 7551339 7604844 7682170 7686740 7727050 7976345 7981090 8036132 8150595 8206806 8256300 8482326 8521071 8614450 8673860 8679700 8958049 8963378 8965060 9203475 9208950 9218604 9272460 9506055 9571614 9577308 9608425 9674690 9741412 9986821 9992762 10008300 10045165 10068452 10337340 10344300 10391550 10676031 10842325 10867460 10924450 11206325 11283610 11361428 11523255 11530110 11590575 11609628 11672700 11971635 12054198 12176765 12179050 12271300 12577097 12585565 12672362 12674740 12921675 13010790 13019550 13109340 13445067 13447590 13540332 13584325 13678010 14127698 14137210 14201785 14234708 14512035 14612118 14614860 14624700 14989143 15102678 15364340 15454100 15757817 15843425 15952690 15962180 16301190 16386675 16413612 16925415 16964652 17042142 17228900 17781413 17793385 17916098 17926756 18268575 18378373 18406950 18417900 19008543 19012110 19143228 19205425 19216850 19349380 19952725 19973642 19985524 20090330 20517015 20783100 21191547 21205815 21352062 21684650 21848900 22278293 22408445 22412650 22567220 23046510 23060220 23181150 23929035 23943270 24108396 24186725 24353530 24358100 24981905 25154194 25171130 25344724 25843350 26021580 26039100 26874147 26890134 26895180 27168650 27356020 28056601 28209025 28255396 28274420 28403570 28825275 29024070 29224236 29960463 29978286 30135495 30205356 31515634 31659589 31680905 31686850 31905380 32526975 32602380 32722469 32773350 33618975 33850830 34084284 34195025 35319245 35343025 35562826 35586770 35832196 36530295 36537150 36756746 36813900 37731291 37756695 38017086 38024220 38410850 38433700 39666229 39881725 39905450 39947284 40180660 40752975 41034030 42383094 42411630 42605355 42704124 43369300 44556586 44790245 44816890 44825300 46093020 46262801 46362300 47273451 47530275 47858070 47886540 48373450 48707060 49934105 49963810 50225825 50308388 50342260 51686700 53344239 53380155 53748294 53780268 54337300 55135119 56079841 56113202 56418050 56807140 57616275 57650550 58048140 58261957 59858175 59920926 59956572 60270990 60883825 62885485 62927825 63031268 63319178 63361810 63373700 65053950 65444938 65546700 66834879 67225335 67237950 67701660 68390050 70625237 70638490 70686050 71008925 71125652 71173540 72560175 73060590 73074300 73513492 74945715 75462582 75513390 76034172 76821700 78789085 79332458 79763450 79810900 81505950 82068060 82370353 84169803 84627075 84766188 84823260 85210710 88907065 88966925 89113172 89580490 89633780 91891865 92525602 94546902 94978767 95042715 95060550 95716140 96746900 98167407 99849473 99868210 99927620 100451650 102585075 103201633 105957735 106029075 106688478 106760310 107496588 110270238 111391465 112042225 112159682 112226404 112836100 115232550 115301100 116454637 116523914 118998687 119645175 119716350 119841852 120541980 121767650 124909525 125770970 125855650 126638356 126723620 130107900 130889876 133669758 134370735 134450670 134475900 136780100 138788403 140283005 141250474 141276980 141372100 142017850 145120350 146121180 149802315 149891430 150677475 150925164 151026780 157578170 158297945 158404525 158664916 159526900 163011900 163612345 164740706 168239523 168339606 169254150 170421420 174785871 176596225 177814130 177933850 179160980 182651475 183749249 183783730 185051204 188656455 188783475 189093804 189957534 190085430 190121100 196334814 198331145 199698946 199736420 200903300 204851621 205170150 206403266 211875711 211915470 212058150 213026775 213376956 213520620 220540476 222782930 223951225 224084450 224319364 230465100 231314005 232909274 233047828 236367255 237997374 239290350 239432700 243535300 247111059 249670525 249819050 251541940 251711300 259783421 266721195 266900775 267339516 268741470 268901340 275675595 277576806 280399205 280566010 282500948 284035700 289617809 290240700 291309785 299548419 299604630 299782860 301354950 309604899 314427425 315156340 316595890 316809050 327224690 329481412 334174395 336126675 336479046 336679212 338508300 349363911 349571742 353126185 353192450 355628260 355867700 364735813 365302950 367498498 367567460 374728575 377312910 377566950 379915068 380170860 392669628 393945425 396662290 399397892 409703242 410340300 411851765 412806532 420849015 423751422 423830940 424116300 426053550 444535325 445565860 447902450 448168900 459459325 462628010 465818548 472734510 474893835 475213575 475994748 478580700 490837035 494222118 499247365 499341050 499638100 515660977 516008165 519566842 529788675 533442390 533801550 537482940 551247747 551351190 555153612 556957325 560798410 561132020 579235618 582273185 582619570 594993435 599096838 599209260 602709900 614554863 619209798 628854850 633191780 633618100 646070497 654449380 668348790 671853675 672253350 672958092 693942015 698727822 699143484 701415025 706252370 706384900 729037933 729471626 730605900 734996996 749011575 749457150 754625820 755133900 779350263 787890850 791489725 793324580 818061725 819406484 823703530 841197615 841698030 847502844 852107100 868853427 873929355 889070650 895804900 918128081 918746245 918918650 925256020 943282275 945469020 949787670 950427150 981674070 988444236 991655725 998494730 998682100 1024258105 1031321954 1032016330 1039133684 1059378555 1059577350 1066884780 1067603100 1094207439 1102495494 1102702380 1113914650 1121596820 1150320641 1156570025 1158471236 1164546370 1165239140 1181836275 1189986870 1198193676 1229109726 1235555295 1238419596 1257709700 1292140994 1298043149 1298917105 1333605975 1336697580 1341621229 1343707350 1344506700 1378377975 1387884030 1397455644 1401996025 1402830050 1412504740 1448089045 1456548925 1458075866 1458943252 1497742095 1498023150 1498914300 1546982931 1548024495 1558700526 1575781700 1582979450 1626315389 1636123450 1647407060 1670871975 1682395230 1683396060 1737706854 1746819555 1747858710 1765630925 1778141300 1823679065 1836256162 1837492490 1837837300 1886564550 1899575340 1900854300 1938211491 1963348140 1983311450 1996989460 2048131873 2048516210 2059258825 2062643908 2064032660 2104245075 2118757110 2119154700 2187113799 2188414878 2204990988 2227829300 2300641282 2313140050 2329092740 2363672550 2374469175 2379973740 2388740237 2454185175 2458219452 2471110590 2496236825 2578304885 2580040825 2584281988 2596086298 2597834210 2667211950 2683242458 2687414700 2754384243 2756238735 2756755950 2775768060 2803992050 2805660100 2895634717 2896178090 2911365925 2913097850 2916151732 2974967175 2995484190 2996046300 3072774315 3093965862 3096048990 3117401052 3165958900 3230352485 3252630778 3272246900 3341743950 3364790460 3377184473 3450961923 3469710075 3475413708 3493639110 3495717420 3531261850 3645189665 3647358130 3672512324 3674984980 3773129100 3876422982 3894129447 3896751315 3966622900 4024863687 4093828393 4096263746 4097032420 4118517650 4205988075 4208490150 4237514220 4344267135 4369646775 4374227598 4376829756 4590640405 4593731225 4601282564 4626280100 4727345100 4748938350 4777480474 4878946167 4908370350 4942221180 4992473650 5121290525 5156609770 5160081650 5192172596 5195668420 5296892775 5334423900 5366484916 5471037195 5508768486 5512477470 5513511900 5607984100 5751603205 5791269434 5792356180 5822731850 5826195700 5949934350 5990968380 6144395619 6145548630 6177776475 6187931724 6192097980 6460704970 6490215745 6494585525 6505261556 6683487900 6708106145 6754368946 6901923846 6939420150 6987278220 7062523700 7166220711 7240445225 7290379330 7294716260 7488710475 7533719209 7734914655 7740122475 7752845964 7788258894 7793502630 8049727374 8131576945 8187656786 8192527492 8237035300 8398916461 8411976150 8416980300 8686904151 8688534270 8734097775 8739293550 8748455196 9118395325 9181280810 9187462450 9497876700 9554960948 9691057455 9757892334 9816740700 9984947300 10131553419 10240659365 10242581050 10313219540 10320163300 10593785550 10935568995 10942074390 11017536972 11024954940 11503206410 11582538868 11645463700 11899868700 11943701185 12281485179 12288791238 12291097260 12355552950 12891524425 12921409940 12980431490 12989171050 13416212290 13508737892 13771921215 13781193675 13803847692 13878840300 14332441422 14478173585 14480890450 14580758660 14954168333 14977420950 15067438418 15363871575 15469829310 15480244950 15576517788 15587005260 16099454748 16151762425 16263153890 16375313572 16797832922 16823952300 16885922365 17254809615 17373808302 17377068540 17468195550 17478587100 18225948325 18236790650 18362561620 18374924900 19382114910 19470647235 19483756575 19515784668 20124318435 20263106838 20469141965 20481318730 20485162100 21142100057 21187571100 21721335675 21871137990 21884148780 22601157627 22953202025 23006412820 23887402370 24394730835 24562970358 24577582476 24711105900 25196749383 25783048850 25960862980 25978342100 26625714349 26832424580 27355185975 27543842430 27562387350 28664882844 28758016025 28956347170 28961780900 29908336666 29954841900 30134876836 30721978095 30727743150 30939658620 30960489900 32303524850 32451078725 32526307780 33540530725 33595665844 33771844730 34509619230 34747616604 34936391100 35831103555 36451896650 36473581300 37643251321 37668596045 38674573275 38764229820 38941294470 38967513150 40248636870 40526213676 40657884725 40938283930 40962637460 41994582305 42284200114 43434520755 43442671350 43742275980 44862504999 45202315254 45906404050 47163146281 47774804740 48455287275 48789461670 49125940716 50393498766 50657767095 51203296825 51566097700 53219769109 53251428698 54677844975 54710371950 55087684860 55124774700 57516032050 57912694340 59718505925 59816673332 61407425895 61443956190 61455486300 63426300171 64607049700 64902157450 67081061450 67543689460 68859606075 69019238460 71662207110 72390867925 72903793300 74770841665 75286502642 75337192090 77349146550 77882588940 77935026300 79877143047 80497273740 81315769450 81876567860 83973406793 83989164610 84429611825 84568400228 86274048075 86869041510 86885342700 89725009998 90404630508 91812808100 94326292562 96910574550 97353236175 97578923340 97938349717 100621592175 100786997532 101315534190 102345709825 102406593650 105710500285 106439538218 106502857396 109355689950 109420743900 112929753963 113005788135 115032064100 118721023397 119437011850 121973654175 122814851790 122887912380 125983746915 126852600342 129804314900 133128571745 134162122900 137719212150 141489438843 143324414220 144781735850 149541683330 150573005284 150674384180 153609890475 154698293100 159659307327 159754286094 162631538900 167946813586 167978329220 168859223650 172548096150 173738083020 179155517775 179450019996 188216256605 188342980225 188652585124 193821149100 194706472350 195876699434 201243184350 202631068380 204691419650 204813187300 209972911525 211421000570 212879076436 217172603775 218711379900 224312524995 225859507926 226011576270 235815731405 237442046794 238874023700 243947308350 245629703580 251920220379 251967493830 253288835475 253705200684 266098845545 266257143490 275438424300 282978877686 289563471700 293815049151 299083366660 307037129475 307219780950 317131500855 319318614654 319508572188 335893627172 337718447300 345096192300 356163070191 358311035550 373854208325 376432513210 376685960450 389412944700 391753398868 399385715235 402486368700 409382839300 419867033965 419945823050 422842001140 434345207550 448625049990 451719015852 452023152540 471631462810 474884093588 487894616700 489691748585 503840440758 503934987660 506577670950 528552501425 532197691090 532514286980 564648769815 565028940675 565957755372 587630098302 593605116985 613120901653 614074258950 614439561900 629918734575 634263001710 638637229308 665642858725 707447194215 712326140382 716622071100 747708416650 752865026420 753371920900 798296536635 798771430470 839734067930 839891646100 868690415100 897250099980 941081283025 943262925620 979383497170 1007680881516 1013155341900 1057105002850 1064395382180 1091654288309 1121562624975 1129297539630 1130057881350 1175260196604 1179078657025 1187210233970 1226241803306 1228148517900 1259601101895 1259837469150 1268526003420 1330494227725 1331285717450 1414894388430 1424652280764 1469075245755 1495416833300 1543373304161 1585657504275 1596593073270 1597542860940 1679468135860 1780815350955 1839362704959 1882162566050 1958766994340 1996928576175 2099335169825 2114210005700 2183308576618 2243125249950 2258595079260 2260115762700 2358157314050 2374420467940 2448458742925 2452483606612 2519202203790 2519674938300 2660988455450 2662571434900 2823243849075 2829788776860 2938150491510 2968025584925 3065604508265 3086746608322 3171315008550 3193186146540 3274962864927 3442909678513 3537235971075 3561630701910 3678725409918 3764325132100 3991482683175 3993857152350 4198670339650 4366617153236 4486250499900 4630119912483 4716314628100 4896917485850 5038404407580 5321976910900 5458271441545 5646487698150 5876300983020 5936051169850 6131209016530 6173493216644 6298005509475 6342630017100 6549925729854 6885819357026 7074471942150 7123261403820 7345376228775 7357450819836 7716866520805 7982965366350 7987714304700 8397340679300 8904076754775 9196813524795 9260239824966 9793834971700 10328729035539 10916542883090 11292975396300 11872102339700 12262418033060 12596011018950 13099851459708 13771638714052 14148943884300 14690752457550 15328022541325 15433733041610 15965930732700 16374814324635 17214548392565 17808153509550 18393627049590 18520479649932 20657458071078 21833085766180 23150599562415 25192022037900 27291357207725 29381504915100 30656045082650 30867466083220 32749628649270 34429096785130 35616307019100 36787254099180 38584332604025 41314916142156 44757825820669 45984067623975 46301199124830 51643645177695 54582714415450 61312090165300 65499257298540 68858193570260 77168665208050 81874071623175 86072741962825 89515651641338 91968135247950 92602398249660 103287290355390 109165428830900 115752997812075 134273477462007 154337330416100 163748143246350 172145483925650 179031303282676 183936270495900 206574580710780 223789129103345 231505995624150 258218225888475 268546954924014 327496286492700 344290967851300 447578258206690 463011991248300 516436451776950 537093909848028 671367387310035 895156516413380 1032872903553900 1118945645516725 1342734774620070 2237891291033450 2685469549240140 3356836936550175 4475782582066900 6713673873100350 13427347746200700
- Sum of all divisors σ(n): 45128576932040784
- Sum of proper divisors (its aliquot sum) s(n): 31701229185840084
- 13427347746200700 is an abundant number, because the sum of its proper divisors (31701229185840084) is greater than itself. Its abundance is 18273881439639384
Bases of 13427347746200700
- Binary: 1011111011010000011010000001001011000000011100011111002
- Hexadecimal: 0x2FB41A04B01C7C
- Base-36: 3O7LIEC8QKC
Squares and roots of 13427347746200700
- 13427347746200700 squared (134273477462007002) is 180293667497401017901284680490000
- 13427347746200700 cubed (134273477462007003) is 2420865769925485957641648889374519510914343000000
-
The
square root of 13427347746200700 is 115876433.0923277083 -
The
cube root of 13427347746200700 is 237682.2475349549
Scales and comparisons
How big is 13427347746200700?- 13,427,347,746,200,700 seconds is equal to 426,948,124 years, 42 weeks, 2 days, 21 hours, 5 minutes.
-
To count from 1 to 13,427,347,746,200,700 would take you about one billion, two hundred eighty million, eight hundred forty-four thousand, three hundred seventy-four 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 13427347746200700 cubic inches would be around 19806.9 feet tall.
Recreational maths with 13427347746200700
- 13427347746200700 backwards is 00700264774372431
- The number of decimal digits it has is: 17
- The sum of 13427347746200700's digits is 57
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13427347746200700 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 13427347746200700 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/13427347746200700/
Chicago style:
Numbermatics. 2024. "Number 13427347746200700 - Facts about the integer". https://numbermatics.com/n/13427347746200700/
The information we have on file for 13427347746200700 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 13427347746200700, math, Factors of 13427347746200700, curriculum, school, college, exams, university, Prime factorization of 13427347746200700, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, four hundred twenty-seven trillion, three hundred forty-seven billion, seven hundred forty-six million, two hundred thousand, seven hundred.