13228767042946400
13,228,767,042,946,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 13228767042946400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
13228767042946400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13228767042946400:
25 × 52 × 11 × 433 × 533 × 127
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 43 × 43 × 43 × 53 × 53 × 53 × 127)See below for interesting mathematical facts about the number 13228767042946400 from the Numbermatics database.
Names of 13228767042946400
- Cardinal: 13228767042946400 can be written as Thirteen quadrillion, two hundred twenty-eight trillion, seven hundred sixty-seven billion, forty-two million, nine hundred forty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.32287670429464 × 1016
Factors of 13228767042946400
Divisors of 13228767042946400
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 43 44 50 53 55 80 86 88 100 106 110 127 160 172 176 200 212 215 220 254 265 275 344 352 400 424 430 440 473 508 530 550 583 635 688 800 848 860 880 946 1016 1060 1075 1100 1166 1270 1325 1376 1397 1696 1720 1760 1849 1892 2032 2120 2150 2200 2279 2332 2365 2540 2650 2794 2809 2915 3175 3440 3698 3784 4064 4240 4300 4400 4558 4664 4730 5080 5300 5461 5588 5618 5830 6350 6731 6880 6985 7396 7568 8480 8600 8800 9116 9245 9328 9460 10160 10600 10922 11176 11236 11395 11660 11825 12700 13462 13970 14045 14575 14792 15136 17200 18232 18490 18656 18920 20320 20339 21200 21844 22352 22472 22790 23320 23650 25069 25400 26924 27305 27940 28090 29150 29584 30899 33655 34400 34925 36464 36980 37840 40678 42400 43688 44704 44944 45580 46225 46640 47300 50138 50800 53848 54610 55880 56180 56975 58300 59168 60071 61798 67310 69850 70225 72928 73960 74041 75680 79507 81356 87376 89888 91160 92450 93280 94600 97997 100276 101600 101695 107696 109220 111760 112360 113950 116600 120142 120787 123596 125345 134620 136525 139700 140450 147920 148082 148877 154495 159014 162712 168275 174752 182320 184900 189200 195994 200552 203390 215392 218440 223520 224720 227900 233200 234823 240284 241574 247192 250690 269240 273050 279400 280900 289433 295840 296164 297754 300355 308990 318028 325424 336550 356743 364640 369800 370205 378400 391988 397535 401104 406780 436880 449440 455800 466400 469646 480568 483148 489985 494384 501380 508475 538480 546100 558800 561800 578866 592328 595508 600710 603935 617980 626725 636056 650848 673100 713486 739600 740410 744385 772475 783976 795070 802208 813560 873760 874577 911600 939292 961136 966296 979970 988768 1002760 1016950 1076960 1077967 1092200 1117600 1123600 1157732 1174115 1184656 1191016 1201420 1207870 1235960 1253450 1272112 1328657 1346200 1426972 1447165 1479200 1480820 1488770 1501775 1544950 1567952 1590140 1627120 1637647 1749154 1783715 1823200 1851025 1878584 1922272 1932592 1959940 1987675 2005520 2033900 2155934 2184400 2247200 2315464 2348230 2369312 2382032 2402840 2415740 2449925 2471920 2506900 2544224 2583053 2657314 2692400 2853944 2894330 2961640 2977540 3003550 3019675 3089900 3135904 3180280 3183763 3254240 3275294 3498308 3567430 3702050 3721925 3757168 3865184 3919880 3924173 3975350 4011040 4067800 4213871 4311868 4368800 4372885 4630928 4696460 4764064 4805680 4831480 4899850 4943840 5013800 5166106 5193841 5314628 5384800 5389835 5707888 5788660 5870575 5923280 5955080 6007100 6039350 6179800 6360560 6367526 6401711 6550588 6643285 6996616 7134860 7235825 7404100 7443850 7514336 7839760 7848346 7950700 8135600 8188235 8427742 8623736 8745770 8918575 9261856 9392920 9611360 9662960 9799700 10027600 10097389 10332212 10387682 10629256 10779670 11415776 11577320 11741150 11846560 11910160 12014200 12078700 12359600 12445619 12721120 12735052 12803422 12915265 13101176 13286570 13993232 14269720 14471650 14808200 14887700 15339949 15679520 15696692 15901400 15918815 16271200 16376470 16855484 17247472 17491540 17837150 18785840 18907379 19325920 19599400 19620865 20055200 20194778 20664424 20775364 21069355 21258512 21559340 21864425 23154640 23482300 23820320 24028400 24157400 24719200 24891238 25470104 25606844 25830530 25969205 26202352 26573140 26949175 27986464 28539440 28943300 29616400 29775400 30679898 31393384 31802800 31837630 32008555 32752940 33216425 33710968 34494944 34983080 35674300 37571680 37814758 39198800 39241730 40389556 40941175 41328848 41550728 42138710 42517024 43118680 43728850 46309280 46352581 46964600 48056800 48314800 49782476 50486945 50940208 51213688 51661060 51938410 52404704 53146280 53898350 57078880 57132251 57886600 59232800 59550800 61359796 62228095 62786768 63605600 63675260 64017110 64576325 65505880 66432850 67421936 69966160 70418821 71348600 75629516 76699745 78397600 78483460 79594075 80779112 81882350 82657696 83101456 84277420 86237360 87457700 92705162 93929200 94536895 96629600 98104325 99564952 100973890 101880416 102427376 103322120 103876820 105346775 106292560 107796700 111071279 114264502 115773200 119101600 122719592 124456190 125573536 127350520 128034220 129152650 129846025 131011760 132865700 134843872 136901809 139932320 140837642 142697200 151259032 153399490 156966920 159188150 160042775 161558224 163764700 166202912 168554840 168739439 172474720 174915400 185410324 187858400 189073790 196208650 199129904 201947780 204854752 206644240 207753640 207981169 210693550 212585120 215593400 222142558 223335163 228529004 231546400 231762905 245439184 248912380 252434725 254701040 256068440 258305300 259692050 262023520 265731400 273803618 275273573 281675284 285394400 285661255 302518064 306798980 311140475 313933840 318376300 320085550 323116448 327529400 337109680 337478878 349830800 352094105 370820648 378147580 383498725 392417300 398259808 403895560 413288480 415507280 415962338 421387100 431186800 444285116 446670326 457058008 463525810 472684475 490878368 497824760 504869450 509402080 512136880 516610600 519384100 531462800 535161617 547607236 550547146 555356395 563350568 571322510 605036128 613597960 622280950 627867680 636752600 640171100 655058800 659617807 674219360 674957756 684509045 699661600 704188210 741641296 756295160 766997450 784834600 807791120 813017297 831014560 831924676 842774200 843697195 862373600 888570232 893340652 914116016 927051620 945368950 995649520 1009738900 1024273760 1033221200 1038768200 1039905845 1062925600 1070323234 1095214472 1101094292 1110712790 1116675815 1126701136 1142645020 1158814525 1227195920 1244561900 1273505200 1280342200 1310117600 1319235614 1349915512 1369018090 1376367865 1408376420 1428306275 1483282592 1512590320 1533994900 1569669200 1615582240 1626034594 1663849352 1685548400 1687394390 1760470525 1777140464 1786681304 1828232032 1854103240 1890737900 1991299040 2019477800 2066442400 2077536400 2079811690 2140646468 2190428944 2202188584 2221425580 2233351630 2253402272 2285290040 2317629050 2454391840 2456686793 2489123800 2547010400 2560684400 2638471228 2675808085 2699831024 2738036180 2752735730 2776781975 2816752840 2856612550 3025180640 3028009303 3067989800 3139338400 3252069188 3298089035 3327698704 3371096800 3374788780 3422545225 3520941050 3554280928 3573362608 3708206480 3781475800 4038955600 4065086485 4155072800 4159623380 4218485975 4281292936 4380857888 4404377168 4442851160 4466703260 4570580080 4635258100 4913373586 4978247600 5121368800 5199529225 5276942456 5351616170 5399662048 5476072360 5505471460 5553563950 5583379075 5633505680 5713225100 5886777787 6056018606 6135979600 6504138376 6596178070 6655397408 6749577560 6845090450 6881839325 7041882100 7146725216 7255795877 7416412960 7562951600 8077911200 8130172970 8319246760 8436971950 8562585872 8808754336 8885702320 8933406520 8943190267 9141160160 9270516200 9826747172 9956495200 10399058450 10553884912 10703232340 10952144720 11010942920 11107127900 11166758150 11267011360 11426450200 11773555574 11836763639 12112037212 12271959200 12283433965 13008276752 13192356140 13379040425 13499155120 13690180900 13763678650 14083764200 14511591754 15125903200 15140046515 16260345940 16490445175 16638493520 16873943900 17125171744 17771404640 17866813040 17886380534 18541032400 19653494344 20325432425 20798116900 21107769824 21406464680 21904289440 22021885840 22214255800 22333516300 22852900400 23547111148 23673527278 24224074424 24566867930 26016553504 26384712280 26758080850 26998310240 27380361800 27527357300 28167528400 28363565701 29023183508 29433888935 30280093030 32520691880 32980890350 33276987040 33747887800 34959743771 35733626080 35772761068 36278979385 37082064800 39306988688 40650864850 41596233800 42812929360 44043771680 44428511600 44667032600 44715951335 45705800800 47094222296 47347054556 48448148848 49133735860 52769424560 53516161700 54760723600 55054714600 56335056800 56727131402 58046367016 58867777870 59183818195 60560186060 61417169825 65041383760 65961780700 67495775600 69919487542 71545522136 72557958770 75700232575 78613977376 81301729700 83192467600 85625858720 88857023200 89334065200 89431902670 94188444592 94694109112 96896297696 98267471720 105538849120 107032323400 109521447200 110109429200 113454262804 116092734032 117735555740 118367636390 121120372120 122834339650 130082767520 130204400029 131923561400 134991551200 139838975084 141817828505 143091044272 145115917540 147169444675 151400465150 162603459400 166384935200 174798718855 178668130400 178863805340 181394896925 188376889184 189388218224 196534943440 214064646800 220218858400 223579756675 226908525608 232185468064 235471111480 236735272780 242240744240 245668679300 260408800058 263847122800 279677950168 283635657010 286182088544 290231835080 294338889350 295919090975 302800930300 311999222711 325206918800 349597437710 357727610680 362789793850 378776436448 384557181481 393069886880 428129293600 447159513350 453817051216 470942222960 473470545560 484481488480 491337358600 520817600116 527694245600 559355900336 567271314020 580463670160 588677778700 591838181950 605601860600 623998445422 650413837600 651022000145 699194875420 709089142525 715455221360 725579587700 769114362962 873993594275 894319026700 907634102432 941884445920 946941091120 982674717200 1041635200232 1118711800672 1134542628040 1160927340320 1177355557400 1183676363900 1211203721200 1247996890844 1302044000290 1398389750840 1418178285050 1430910442720 1451159175400 1503268982153 1538228725924 1559996113555 1747987188550 1788638053400 1893882182240 1922785907405 1965349434400 2083270400464 2269085256080 2354711114800 2367352727800 2422407442400 2495993781688 2604088000580 2796779501680 2836356570100 2902318350800 3006537964306 3076457451848 3119992227110 3255110000725 3495974377100 3577276106800 3845571814810 4166540800928 4538170512160 4709422229600 4734705455600 4991987563376 5208176001160 5593559003360 5672713140200 5804636701600 6013075928612 6152914903696 6239984454220 6510220001450 6991948754200 7154552213600 7516344910765 7691143629620 7799980567775 9469410911200 9613929537025 9983975126752 10416352002320 11345426280400 12026151857224 12305829807392 12479968908440 13020440002900 13983897508400 15032689821530 15382287259240 15599961135550 16535958803683 19227859074050 20832704004640 22690852560800 24052303714448 24959937816880 26040880005800 27967795016800 30065379643060 30764574518480 31199922271100 33071917607366 37581724553825 38455718148100 48104607428896 49919875633760 52081760011600 60130759286120 61529149036960 62399844542200 66143835214732 75163449107650 76911436296200 82679794018415 104163520023200 120261518572240 124799689084400 132287670429464 150326898215300 153822872592400 165359588036830 240523037144480 249599378168800 264575340858928 300653796430600 307645745184800 330719176073660 413398970092075 529150681717856 601307592861200 661438352147320 826797940184150 1202615185722400 1322876704294640 1653595880368300 2645753408589280 3307191760736600 6614383521473200 13228767042946400
- Sum of all divisors σ(n): 37052536485888000
- Sum of proper divisors (its aliquot sum) s(n): 23823769442941600
- 13228767042946400 is an abundant number, because the sum of its proper divisors (23823769442941600) is greater than itself. Its abundance is 10595002399995200
Bases of 13228767042946400
- Binary: 1011101111111101111110010110000110100101000101011000002
- Hexadecimal: 0x2EFF7E58694560
- Base-36: 3M97FOKQ63K
Squares and roots of 13228767042946400
- 13228767042946400 squared (132287670429464002) is 175000277476544840021993272960000
- 13228767042946400 cubed (132287670429464003) is 2315037903188191570321909201075772217849344000000
-
The
square root of 13228767042946400 is 115016377.2814393593 -
The
cube root of 13228767042946400 is 236504.7074941763
Scales and comparisons
How big is 13228767042946400?- 13,228,767,042,946,400 seconds is equal to 420,633,872 years, 36 weeks, 3 days, 17 hours, 33 minutes, 20 seconds.
-
To count from 1 to 13,228,767,042,946,400 would take you about one billion, two hundred sixty-one million, nine hundred one thousand, six hundred eighteen 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 13228767042946400 cubic inches would be around 19708.7 feet tall.
Recreational maths with 13228767042946400
- 13228767042946400 backwards is 00464924076782231
- The number of decimal digits it has is: 17
- The sum of 13228767042946400's digits is 65
- More coming soon!
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"Number 13228767042946400 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 13228767042946400 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/13228767042946400/
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The information we have on file for 13228767042946400 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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