13686442030331200
13,686,442,030,331,200 is an even composite number composed of six prime numbers multiplied together.
13686442030331200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred ninety divisors.
Prime factorization of 13686442030331200:
26 × 52 × 134 × 172 × 372 × 757
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 13 × 13 × 17 × 17 × 37 × 37 × 757)See below for interesting mathematical facts about the number 13686442030331200 from the Numbermatics database.
Names of 13686442030331200
- Cardinal: 13686442030331200 can be written as Thirteen quadrillion, six hundred eighty-six trillion, four hundred forty-two billion, thirty million, three hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.36864420303312 × 1016
Factors of 13686442030331200
Divisors of 13686442030331200
- Number of divisors d(n): 1890
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 37 40 50 52 64 65 68 74 80 85 100 104 130 136 148 160 169 170 185 200 208 221 260 272 289 296 320 325 338 340 370 400 416 425 442 481 520 544 578 592 629 650 676 680 740 757 800 832 845 850 884 925 962 1040 1088 1105 1156 1184 1258 1300 1352 1360 1369 1445 1480 1514 1600 1690 1700 1768 1850 1924 2080 2197 2210 2312 2368 2405 2516 2600 2704 2720 2738 2873 2890 2960 3028 3145 3380 3400 3536 3700 3757 3785 3848 4160 4225 4394 4420 4624 4810 5032 5200 5408 5440 5476 5525 5746 5780 5920 6056 6253 6290 6760 6800 6845 7072 7225 7400 7514 7570 7696 8177 8450 8788 8840 9248 9620 9841 10064 10400 10693 10816 10952 10985 11050 11492 11560 11840 12025 12112 12506 12580 12869 13520 13600 13690 14144 14365 14450 14800 15028 15140 15392 15725 16354 16900 17576 17680 17797 18496 18785 18925 19240 19682 20128 20800 21386 21904 21970 22100 22984 23120 23273 24050 24224 25012 25160 25738 27040 27200 27380 28009 28561 28730 28900 29600 30056 30280 30784 31265 31450 32708 33800 34225 35152 35360 35594 37349 37570 37850 38480 39364 40256 40885 42772 43808 43940 44200 45968 46240 46546 48100 48448 48841 49205 50024 50320 51476 53465 54080 54760 54925 56018 57122 57460 57800 59200 60112 60560 62530 62900 64345 65416 67600 68450 70304 70720 71188 71825 74698 75140 75700 76960 78728 81289 81770 85544 87616 87880 88400 88985 91936 92480 93092 93925 96200 97682 98410 100048 100640 102952 106301 106930 109520 109850 112036 114244 114920 115600 116365 120224 121120 125060 125800 127933 128690 130832 135200 136900 139009 140045 140608 142376 142805 143650 149396 150280 151400 153920 156325 157456 162578 163540 167297 171088 175760 176800 177970 183872 186184 186745 187850 192400 195364 196820 200096 201280 204425 205904 212602 213860 218773 219040 219700 224072 228488 229840 231200 231361 232730 240448 242240 244205 246025 250120 251600 255866 257380 261664 267325 270400 273800 278018 280090 284752 285610 287300 298792 300560 302549 302800 312650 314912 321725 325156 327080 334594 342176 351520 353600 355940 364117 372368 373490 375700 384800 390728 393640 395641 400192 406445 408850 411808 425204 427720 437546 438080 439400 444925 448144 456976 459680 462400 462722 465460 476153 485537 488410 492050 500240 503200 511732 514760 523328 531505 534650 547600 556036 560180 569504 571220 574600 581825 597584 601120 605098 605600 625300 629824 634933 639665 643450 650312 654160 669188 684352 695045 700225 703040 711880 714025 728234 744736 746980 751400 769600 781456 787280 791282 812890 817700 823616 836485 850408 855440 875092 878800 889850 896288 913952 919360 925444 930920 933725 952306 971074 976820 984100 1000480 1006400 1023464 1029520 1036333 1056757 1063010 1069300 1093865 1095200 1112072 1120360 1139008 1142440 1149200 1156805 1163650 1195168 1202240 1210196 1211200 1221025 1250600 1269866 1279330 1286900 1300624 1308320 1338376 1381913 1390090 1400450 1423760 1428050 1456468 1489472 1493960 1502800 1512745 1562912 1574560 1582564 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5712200 5784025 5825872 5975840 6011200 6015386 6050980 6189989 6330256 6349330 6396650 6503120 6541600 6652516 6691880 6803264 6909565 6950450 7000736 7118800 7228468 7282340 7403552 7447360 7469800 7563725 7618448 7768592 7814560 7866274 7872800 7912820 8094601 8128900 8187712 8254129 8290664 8315645 8364850 8454056 8504080 8554400 8699444 8750920 8896576 8962880 9035585 9102925 9139520 9254440 9309200 9467042 9523060 9681568 9710740 9768200 9891025 10004800 10158928 10234640 10286666 10295200 10363330 10567570 10630100 10707008 10874305 10938650 11055304 11120720 11203600 11376196 11424400 11568050 11651744 11903825 11951680 12030772 12101960 12138425 12379978 12660512 12698660 12793300 13006240 13083200 13305032 13383760 13472329 13819130 13900900 14001472 14220245 14237600 14456936 14564680 14807104 14939600 15038465 15127450 15236896 15537184 15629120 15732548 15745600 15825640 15873325 16189202 16257800 16508258 16581328 16631290 16729700 16908112 17008160 17108800 17398888 17501840 17617661 17964869 18071170 18205850 18508880 18618400 18934084 19046120 19363136 19421480 19536400 19665685 19782050 20317856 20469280 20573332 20590400 20726660 21135140 21260200 21620677 21748610 21877300 22110608 22241440 22407200 22752392 22848800 23136100 23303488 23492521 23667605 23807650 24061544 24203920 24276850 24759956 25321024 25397320 25586600 25716665 25908325 26012480 26418925 26610064 26767520 26944658 27638260 27801800 28273193 28440490 28475200 28913872 29129360 29879200 30076930 30254900 30473792 30949945 31074368 31465096 31651280 31746650 32378404 32515600 33016516 33162656 33262580 33459400 33816224 34016320 34547825 34797776 35003680 35235322 35929738 36142340 36411700 36972637 37017760 37236800 37868168 38092240 38842960 39072800 39100009 39331370 39564100 40473005 40635712 40938560 41146664 41270645 41453320 41578225 42270280 42520400 43241354 43497220 43754600 44221216 44482880 44814400 45177925 45504784 45697600 46272200 46985042 47335210 47615300 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12799440784 12875177120 12951361600 13206606400 13294003060 13372665800 13599405833 13679875690 13907572432 14011222160 14094128800 14371895200 14657893952 14702060360 14789054800 14886923545 14975011850 15270138650 15380616992 15574012324 15640003600 15999300980 16093971400 16361849920 16617503825 16737730256 16836770080 17296541600 17384465540 17514027700 17783838397 18214588808 18322367440 18377575450 18794016800 19168015168 19225771240 19467515405 19545777472 19691447360 19999126225 20452312400 20922162820 21045962600 21270404896 21396265280 21555726400 21730581925 21887801104 22599805202 22618554400 22768236010 22902959300 23523296576 23819077672 23960018960 24032214050 24432221840 24614309200 24993502612 25598881568 25750354240 26152703525 26588006120 26745331600 27198811666 27359751380 27815144864 28022444320 28188257600 28743790400 29404120720 29578109600 29598706813 29773847090 29950023700 30540277300 30761233984 31148024648 31241878265 31280007200 31998601960 32187942800 33235007650 33475460512 33673540160 34199689225 34593083200 34768931080 35028055400 35567676794 36429177616 36644734880 36755150900 37588033600 38451542480 38706001217 38935030810 39998252450 40904624800 41844325640 42091925200 42540809792 43461163850 43775602208 45199610404 45237108800 45536472020 45805918600 47638155344 47920037920 48064428100 48864443680 49228618400 49987005224 50615540053 51197763136 52305407050 53176012240 53490663200 54397623332 54719502760 55630289728 56044888640 56499513005 56920590025 58808241440 59156219200 59197413626 59547694180 59900047400 61080554600 62296049296 62483756530 62560014400 63997203920 64375885600 66470015300 66950921024 67997029165 68399378450 69537862160 70056110800 71135353588 72858355232 73289469760 73510301800 74434617725 76903084960 77412002434 77870061620 79996504900 81809249600 83688651280 84183850400 86922327700 87551204416 88919191985 90399220808 91072944040 91611837200 95276310688 95840075840 96128856200 97337577025 97728887360 98457236800 99974010448 101231080106 104610814100 106352024480 106981326400 108795246664 109439005520 112999026010 113841180050 117616482880 118394827252 119095388360 119800094800 122161109200 124592098592 124967513060 127994407840 128751771200 132940030600 135994058330 136798756900 139075724320 140112221600 142270707176 145716710464 147020603600 147993534065 148869235450 153806169920 154824004868 155740123240 156209391325 159993009800 167377302560 168367700800 173844655400 177838383970 180798441616 182145888080 183223674400 190552621376 192257712400 193530006085 194675154050 199948020896 202462160212 209221628200 212704048960 217590493328 218878011040 225998052020 227682360100 231189899161 236789654504 238190776720 239600189600 244322218400 249184197184 249935026120 253077700265 255988815680 265880061200 271988116660 273597513800 278151448640 280224443200 282497565025 284541414352 294041207200 295987068130 297738470900 309648009736 311480246480 312418782650 319986019600 334754605120 339985145825 347689310800 355676767940 361596883232 364291776160 366447348800 384515424800 387060012170 389350308100 399896041792 404924320424 418443256400 435180986656 437756022080 444595959925 451996104040 455364720200 462379798322 473579309008 476381553440 479200379200 488644436800 499870052240 503178015821 506155400530 531760122400 543976233320 547195027600 564995130050 569082828704 588082414400 591974136260 595476941800 619296019472 622960492960 624837565300 639972039200 658002020689 679970291650 695378621600 711353535880 723193766464 728583552320 739967670325 769030849600 774120024340 778700616200 809848640848 836886512800 870361973312 889191919850 903992208080 910729440400 924759596644 947158618016 952763106880 967650030425 999740104480 1006356031642 1012310801060 1063520244800 1087952466640 1094390055200 1129990260100 1138165657408 1155949495805 1183948272520 1190953883600 1238592038944 1245920985920 1249675130600 1265388501325 1279944078400 1316004041378 1359940583300 1390757243200 1422707071760 1479935340650 1548240048680 1557401232400 1619697281696 1673773025600 1778383839700 1807984416160 1821458880800 1849519193288 1894317236032 1935300060850 1999480208960 2012712063284 2024621602120 2175904933280 2188780110400 2259980520200 2311898991610 2367896545040 2381907767200 2477184077888 2499350261200 2515890079105 2530777002650 2632008082756 2719881166600 2845414143520 2959870681300 3096480097360 3114802464800 3239394563392 3290010103445 3556767679400 3615968832320 3642917761600 3699038386576 3870600121700 4025424126568 4049243204240 4351809866560 4519961040400 4623797983220 4735793090080 4763815534400 4998700522400 5031780158210 5061554005300 5264016165512 5439762333200 5690828287040 5779747479025 5919741362600 6192960194720 6229604929600 6580020206890 7113535358800 7398076773152 7741200243400 8050848253136 8098486408480 8554026268957 9039922080800 9247595966440 9471586180160 9997401044800 10063560316420 10123108010600 10528032331024 10879524666400 11559494958050 11839482725200 12385920389440 12579450395525 13160040413780 14227070717600 14796153546304 15482400486800 16101696506272 16196972816960 16450050517225 17108052537914 18079844161600 18495191932880 20127120632840 20246216021200 21056064662048 21759049332800 23118989916100 23678965450400 25158900791050 26320080827560 28454141435200 30964800973600 32203393012544 32900101034450 34216105075828 36990383865760 40254241265680 40492432042400 42112129324096 42770131344785 46237979832200 47357930900800 50317801582100 52640161655120 61929601947200 65800202068900 68432210151656 73980767731520 80508482531360 80984864084800 85540262689570 92475959664400 100635603164200 105280323310240 131600404137800 136864420303312 161016965062720 171080525379140 184951919328800 201271206328400 210560646620480 213850656723925 263200808275600 273728840606624 342161050758280 369903838657600 402542412656800 427701313447850 526401616551200 547457681213248 684322101516560 805084825313600 855402626895700 1052803233102400 1368644203033120 1710805253791400 2737288406066240 3421610507582800 6843221015165600 13686442030331200
- Sum of all divisors σ(n): 39884250856622214
- Sum of proper divisors (its aliquot sum) s(n): 26197808826291014
- 13686442030331200 is an abundant number, because the sum of its proper divisors (26197808826291014) is greater than itself. Its abundance is 12511366795959814
Bases of 13686442030331200
- Binary: 1100001001111110111111000110110111010011110101010000002
- Hexadecimal: 0x309FBF1B74F540
- Base-36: 3QRFSO3EBLS
Squares and roots of 13686442030331200
- 13686442030331200 squared (136864420303312002) is 187318695449616420100781693440000
- 13686442030331200 cubed (136864420303312003) is 2563726466468439871378388363289170180067328000000
-
The
square root of 13686442030331200 is 116989067.9949678031 -
The
cube root of 13686442030331200 is 239201.2918219459
Scales and comparisons
How big is 13686442030331200?- 13,686,442,030,331,200 seconds is equal to 435,186,521 years, 32 weeks, 1 day, 13 hours, 46 minutes, 40 seconds.
-
To count from 1 to 13,686,442,030,331,200 would take you about one billion, three hundred five million, five hundred fifty-nine thousand, five hundred sixty-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 13686442030331200 cubic inches would be around 19933.4 feet tall.
Recreational maths with 13686442030331200
- 13686442030331200 backwards is 00213303024468631
- The number of decimal digits it has is: 17
- The sum of 13686442030331200's digits is 46
- More coming soon!
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"Number 13686442030331200 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 13686442030331200 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/13686442030331200/
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