13134938938728000
13,134,938,938,728,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13134938938728000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1792 divisors.
13134938938728000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 13134938938728000:
26 × 3 × 53 × 17 × 61 × 173 × 271 × 11257
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 61 × 173 × 271 × 11257)See below for interesting mathematical facts about the number 13134938938728000 from the Numbermatics database.
Names of 13134938938728000
- Cardinal: 13134938938728000 can be written as Thirteen quadrillion, one hundred thirty-four trillion, nine hundred thirty-eight billion, nine hundred thirty-eight million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.3134938938728 × 1016
Factors of 13134938938728000
Divisors of 13134938938728000
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 61 64 68 75 80 85 96 100 102 120 122 125 136 150 160 170 173 183 192 200 204 240 244 250 255 271 272 300 305 320 340 346 366 375 400 408 425 480 488 500 510 519 542 544 600 610 680 692 732 750 800 813 816 850 865 915 960 976 1000 1020 1037 1038 1084 1088 1200 1220 1275 1355 1360 1384 1464 1500 1525 1600 1626 1632 1700 1730 1830 1952 2000 2040 2074 2076 2125 2168 2400 2440 2550 2595 2710 2720 2768 2928 2941 3000 3050 3111 3252 3264 3400 3460 3660 3904 4000 4065 4080 4148 4152 4250 4325 4336 4575 4607 4800 4880 5100 5185 5190 5420 5440 5536 5856 5882 6000 6100 6222 6375 6504 6775 6800 6920 7320 7625 8000 8130 8160 8296 8304 8500 8650 8672 8823 9150 9214 9760 10200 10370 10380 10553 10840 11072 11257 11712 11764 12000 12200 12444 12750 12975 13008 13550 13600 13821 13840 14640 14705 15250 15555 16260 16320 16531 16592 16608 17000 17300 17344 17646 18300 18428 19520 20325 20400 20740 20760 21106 21625 21680 22514 22875 23035 23528 24000 24400 24888 25500 25925 25950 26016 27100 27200 27642 27680 29280 29410 30500 31110 31659 32520 33062 33184 33216 33771 33875 34000 34600 35292 36600 36856 40650 40800 41480 41520 42212 43250 43360 44115 45028 45750 46070 46883 47056 48800 49593 49776 51000 51850 51900 52032 52765 54200 55284 55360 56285 58560 58820 61000 62220 63318 64875 65040 66124 66368 67542 67750 68000 69105 69200 70584 73200 73525 73712 77775 81300 81600 82655 82960 83040 84424 86500 86720 88230 90056 91500 92140 93766 94112 97600 99186 99552 101625 102000 103700 103800 105530 108400 110568 112570 115175 117640 122000 124440 126636 129625 129750 130080 132248 135084 135500 136000 138210 138400 140649 141168 146400 147050 147424 155550 158295 162600 165310 165920 166080 168848 168855 173000 176460 179401 180112 183000 184280 187532 188224 191369 198372 199104 203250 204000 207400 207600 211060 216800 220575 221136 225140 230350 234415 235280 244000 247965 248880 253272 259250 259500 260160 263825 264496 270168 271000 276420 276800 281027 281298 281425 282336 292800 294100 294848 311100 316590 325200 330620 331840 337696 337710 345525 346000 352920 358802 360224 366000 367625 368560 375064 382738 388875 396744 406500 408000 413275 414800 415200 422120 433600 441150 442272 450280 460700 468830 470560 488000 495930 497760 506544 518500 519000 527650 528992 538203 540336 542000 552840 562054 562596 562850 564672 574107 575875 588200 622200 633180 650400 661240 675392 675420 686677 691050 692000 703245 705840 717604 720448 732000 735250 737120 750128 765476 777750 791475 793488 797011 813000 826550 829600 830400 843081 844240 844275 882300 884544 897005 900560 921400 937660 941120 956845 991860 995520 1013088 1037000 1038000 1055300 1057984 1076406 1080672 1084000 1102875 1105680 1124108 1125192 1125700 1148214 1151750 1172075 1176400 1239825 1244400 1266360 1300800 1319125 1322480 1350840 1373354 1382100 1384000 1405135 1406490 1407125 1411680 1435208 1464000 1470500 1474240 1500256 1530952 1555500 1582950 1586976 1594022 1626000 1653100 1659200 1686162 1688480 1688550 1727625 1764600 1794010 1801120 1842800 1875320 1913690 1947461 1983720 2026176 2060031 2066375 2074000 2076000 2110600 2152812 2161344 2168000 2205750 2211360 2248216 2250384 2251400 2296428 2303500 2344150 2352800 2391033 2479650 2488800 2532720 2638250 2644960 2691015 2701680 2746708 2764200 2810270 2812980 2814250 2823360 2859863 2870416 2870535 2941000 3000512 3050647 3061904 3111000 3165900 3173952 3188044 3252000 3306200 3372324 3376960 3377100 3433385 3455250 3516225 3529200 3588020 3602240 3685600 3750640 3827380 3894922 3957375 3967440 3985055 4120062 4132750 4148000 4152000 4215405 4221200 4221375 4305624 4411500 4422720 4485025 4496432 4500768 4502800 4592856 4607000 4688300 4705600 4782066 4784225 4959300 4977600 5065440 5276500 5289920 5382030 5403360 5493416 5528400 5620540 5625960 5628500 5719726 5740832 5741070 5842383 5860375 5882000 6101294 6123808 6199125 6222000 6331800 6376088 6504000 6612400 6744648 6754200 6866770 6910500 7025675 7032450 7058400 7176040 7371200 7501280 7654760 7789844 7914750 7934880 7970110 8240124 8265500 8296000 8430810 8442400 8442750 8579589 8611248 8823000 8970050 8992864 9001536 9005600 9151941 9185712 9214000 9376600 9564132 9568450 9737305 9918600 10130880 10300155 10553000 10764060 10806720 10986832 11056800 11241080 11251920 11257000 11439452 11481664 11482140 11673509 11684766 11720750 11764000 11955165 12202588 12247616 12398250 12444000 12663600 12752176 13224800 13455075 13489296 13508400 13733540 13821000 14051350 14064900 14116800 14299315 14352080 14352675 15002560 15253235 15309520 15579688 15829500 15869760 15940220 16480248 16531000 16861620 16884800 16885500 17159178 17166925 17222496 17581125 17646000 17940100 17985728 18011200 18303882 18371424 18428000 18753200 19128264 19136900 19474610 19837200 19925275 20600310 21077025 21106000 21528120 21973664 22113600 22425125 22482160 22503840 22514000 22878904 22964280 23347018 23369532 23441500 23528000 23910330 23921125 24405176 24796500 24888000 25327200 25504352 26449600 26910150 26978592 27016800 27467080 27642000 28102700 28129800 28598630 28704160 28705350 29211915 30506470 30619040 31159376 31659000 31880440 32960496 33062000 33106837 33723240 33771000 34318356 34333850 34444992 35020527 35128375 35162250 35292000 35880200 36607764 36742848 36856000 37506400 38256528 38273800 38949220 39674400 39850550 41200620 42154050 42212000 42897945 43056240 43947328 44850250 44964320 45007680 45028000 45757808 45759705 45928560 46694036 46739064 46883000 47820660 47842250 48617671 48686525 48810352 49593000 50654400 51008704 51500775 51860999 53820300 53957184 54033600 54934160 55284000 56205400 56259600 57197260 57408320 57410700 58367545 58423830 59775825 61012940 61238080 62318752 63318000 63760880 65920992 66124000 66213674 67275375 67446480 67542000 68636712 68667700 70041054 70256750 70324500 70584000 71496575 71760400 71763375 73215528 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148871573600 151463779275 151849005072 155582997000 158176046950 158328579300 158912817600 160967388955 161561364560 168883817920 178192681500 178645888320 179439056540 186089467000 189811256340 190072193600 193160866746 193873637472 194470684000 197910724125 198641022000 201951705700 202465340096 207443996000 211104772400 215326867848 223307360400 224298820675 233364820800 237264070425 237590242000 242342046840 248932795200 252439632125 253081675120 253325726880 257547822328 263880965500 264854696000 269158584810 279134200500 280164216000 285108290400 287102490464 291706026000 297743147200 302927558550 303698010144 311165994000 316352093900 316657158600 321934777910 323122729120 356385363000 358878113080 372178934000 379622512680 386321733492 387747274944 388941368000 395440117375 395821448250 397282044000 403903411400 414887992000 422209544800 430653735696 446614720800 448597641350 474528140850 475180484000 482902166865 484684093680 504879264250 506163350240 506651453760 515095644656 527761931000 538317169620 547289122447 558268401000 570216580800 574204980928 583412052000 605855117100 607396020288 622331988000 632704187800 633314317200 643869555820 646245458240 672896462025 712770726000 717756226160 744357868000 757318896375 759245025360 772643466984 790880234750 791642896500 794564088000 804836944775 807806822800 844419089600 861307471392 893229441600 897195282700 949056281700 950360968000 965804333730 969368187360 1009758528500 1012326700480 1030191289312 1055523862000 1076634339240 1094578244894 1116536802000 1121494103375 1166824104000 1186320352125 1211710234200 1244663976000 1265408375600 1266628634400 1287739111640 1345792924050 1425541452000 1435512452320 1488715736000 1514637792750 1518490050720 1545286933968 1581760469500 1583285793000 1609673889550 1615613645600 1641867367341 1722614942784 1794390565400 1898112563400 1931608667460 1938736374720 2019517057000 2060382578624 2111047724000 2153268678480 2189156489788 2233073604000 2242988206750 2372640704250 2414510834325 2423420468400 2530816751200 2533257268800 2575478223280 2691585848100 2736445612235 2851082904000 2871024904640 3029275585500 3036980101440 3090573867936 3163520939000 3166571586000 3219347779100 3231227291200 3283734734682 3364482310125 3588781130800 3796225126800 3863217334920 4024184723875 4039034114000 4222095448000 4306537356960 4378312979576 4466147208000 4485976413500 4745281408500 4829021668650 4846840936800 5061633502400 5150956446560 5383171696200 5472891224470 6058551171000 6181147735872 6327041878000 6333143172000 6438695558200 6567469469364 6728964620250 7177562261600 7592450253600 7726434669840 8048369447750 8078068228000 8209336836705 8613074713920 8756625959152 8971952827000 9490562817000 9658043337300 9693681873600 10301912893120 10766343392400 10945782448940 12072554171625 12117102342000 12654083756000 12666286344000 12877391116400 13134938938728 13457929240500 13682228061175 14355124523200 15184900507200 15452869339680 16096738895500 16156136456000 16418673673410 17513251918304 17943905654000 18981125634000 19316086674600 21532686784800 21891564897880 24145108343250 24234204684000 25308167512000 25754782232800 26269877877456 26915858481000 27364456122350 30905738679360 32193477791000 32837347346820 35026503836608 35887811308000 37962251268000 38632173349200 41046684183525 43065373569600 43783129795760 48290216686500 48468409368000 51509564465600 52539755754912 53831716962000 54728912244700 64386955582000 65674694693640 68411140305875 71775622616000 75924502536000 77264346698400 82093368367050 87566259591520 96580433373000 105079511509824 107663433924000 109457824489400 128773911164000 131349389387280 136822280611750 154528693396800 164186736734100 175132519183040 193160866746000 205233420917625 215326867848000 218915648978800 257547822328000 262698778774560 273644561223500 328373473468200 386321733492000 410466841835250 437831297957600 525397557549120 547289122447000 656746946936400 772643466984000 820933683670500 875662595915200 1094578244894000 1313493893872800 1641867367341000 2189156489788000 2626987787745600 3283734734682000 4378312979576000 6567469469364000 13134938938728000
- Sum of all divisors σ(n): 47122888311263232
- Sum of proper divisors (its aliquot sum) s(n): 33987949372535232
- 13134938938728000 is an abundant number, because the sum of its proper divisors (33987949372535232) is greater than itself. Its abundance is 20853010433807232
Bases of 13134938938728000
- Binary: 1011101010101000101000010010011001011011011110010000002
- Hexadecimal: 0x2EAA284996DE40
- Base-36: 3LBY3NA1MIO
Squares and roots of 13134938938728000
- 13134938938728000 squared (131349389387280002) is 172526620924113038938257984000000
- 13134938938728000 cubed (131349389387280003) is 2266126631143297278296389264278032804352000000000
-
The
square root of 13134938938728000 is 114607761.2499607289 -
The
cube root of 13134938938728000 is 235944.2254168593
Scales and comparisons
How big is 13134938938728000?- 13,134,938,938,728,000 seconds is equal to 417,650,429 years, 11 weeks, 2 days, 6 hours, 40 minutes.
-
To count from 1 to 13,134,938,938,728,000 would take you about one billion, two hundred fifty-two million, nine hundred fifty-one thousand, two hundred eighty-seven 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 13134938938728000 cubic inches would be around 19662 feet tall.
Recreational maths with 13134938938728000
- 13134938938728000 backwards is 00082783983943131
- The number of decimal digits it has is: 17
- The sum of 13134938938728000's digits is 69
- More coming soon!
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Cite this page
MLA style:
"Number 13134938938728000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 13134938938728000 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/13134938938728000/
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Numbermatics. 2024. "Number 13134938938728000 - Facts about the integer". https://numbermatics.com/n/13134938938728000/
The information we have on file for 13134938938728000 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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