13800657314768000
13,800,657,314,768,000 is an even composite number composed of five prime numbers multiplied together.
13800657314768000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13800657314768000:
27 × 53 × 292 × 533 × 832
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 29 × 29 × 53 × 53 × 53 × 83 × 83)See below for interesting mathematical facts about the number 13800657314768000 from the Numbermatics database.
Names of 13800657314768000
- Cardinal: 13800657314768000 can be written as Thirteen quadrillion, eight hundred trillion, six hundred fifty-seven billion, three hundred fourteen million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.3800657314768 × 1016
Factors of 13800657314768000
Divisors of 13800657314768000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 29 32 40 50 53 58 64 80 83 100 106 116 125 128 145 160 166 200 212 232 250 265 290 320 332 400 415 424 464 500 530 580 640 664 725 800 830 841 848 928 1000 1060 1160 1325 1328 1450 1537 1600 1660 1682 1696 1856 2000 2075 2120 2320 2407 2650 2656 2809 2900 3074 3200 3320 3364 3392 3625 3712 4000 4150 4205 4240 4399 4640 4814 5300 5312 5618 5800 6148 6625 6640 6728 6784 6889 7250 7685 8000 8300 8410 8480 8798 9280 9628 10375 10600 10624 11236 11600 12035 12296 13250 13280 13456 13778 14045 14500 15370 16000 16600 16820 16960 17596 18560 19256 20750 21025 21200 21995 22472 23200 24070 24592 26500 26560 26912 27556 28090 29000 30740 33200 33640 33920 34445 35192 38425 38512 41500 42050 42400 43990 44573 44944 46400 48140 49184 53000 53120 53824 55112 56180 58000 60175 61480 66400 67280 68890 69803 70225 70384 76850 77024 81461 83000 84100 84800 87980 89146 89888 92800 96280 98368 105125 106000 107648 109975 110224 112360 116000 120350 122960 127571 132800 134560 137780 139606 140450 140768 148877 153700 154048 162922 166000 168200 169600 172225 175960 178292 179776 192125 192560 196736 199781 210250 212000 219950 220448 222865 224720 232000 233147 240700 245920 255142 265600 269120 275560 279212 280900 281536 297754 300875 307400 308096 325844 332000 336400 344450 349015 351125 351920 356584 359552 365117 384250 385120 399562 407305 420500 424000 439900 440896 445730 449440 464000 466294 481400 491840 510284 538240 549875 551120 558424 561800 563072 595508 601750 614800 637855 651688 664000 672800 688900 698030 702250 703840 713168 730234 744385 768500 770240 799124 814610 841000 848000 861125 879800 881792 891460 898880 932588 962800 983680 998905 1020568 1099750 1102240 1114325 1116848 1123600 1165735 1191016 1203500 1229600 1275710 1303376 1328000 1345600 1377800 1396060 1404500 1407680 1426336 1460468 1488770 1537000 1540480 1598248 1629220 1682000 1722250 1745075 1759600 1782920 1797760 1825585 1865176 1925600 1997810 2036525 2041136 2199500 2204480 2228650 2233696 2247200 2331470 2362369 2382032 2407000 2459200 2551420 2606752 2691200 2755600 2792120 2809000 2815360 2852672 2920936 2977540 3074000 3189275 3196496 3258440 3364000 3444500 3490150 3519200 3565840 3651170 3699559 3721925 3730352 3851200 3995620 4073050 4082272 4317433 4399000 4408960 4457300 4467392 4494400 4662940 4724738 4764064 4814000 4918400 4994525 5102840 5213504 5511200 5571625 5584240 5618000 5705344 5793649 5828675 5841872 5955080 6148000 6378550 6392992 6516880 6728000 6761263 6889000 6980300 7038400 7131680 7302340 7399118 7443850 7460704 7702400 7991240 8146100 8164544 8634866 8725375 8798000 8914600 8934784 8988800 9127925 9325880 9449476 9528128 9628000 9989050 10182625 10205680 10427008 10588393 11022400 11143250 11168480 11236000 11587298 11657350 11683744 11811845 11910160 12296000 12356791 12757100 12785984 13033760 13456000 13522526 13778000 13960600 14076800 14263360 14604680 14798236 14887700 14921408 15946375 15982480 16292200 16329088 17269732 17450750 17596000 17829200 18255850 18497795 18609625 18651760 18898952 19056256 19256000 19351201 19978100 20365250 20411360 21176786 21587165 22044800 22286500 22336960 22472000 23174596 23314700 23367488 23623690 23820320 24592000 24713582 24972625 25514200 25571968 26067520 27045052 27556000 27921200 28526720 28968245 29143375 29209360 29596472 29775400 29842816 31892750 31964960 32584400 33806315 34539464 34901500 35192000 35658400 36511700 36995590 37219250 37303520 37797904 38512000 38702402 39956200 40730500 40822720 42353572 43174330 44573000 44673920 44944000 45639625 46349192 46629400 46734976 47247380 47640640 49427164 49945250 51028400 52135040 52941965 54090104 55112000 55842400 57936490 58286750 58418720 59059225 59192944 59550800 61783955 63785500 63929920 65168800 67612630 69078928 69803000 70384000 71316800 73023400 73991180 74438500 74607040 75595808 77404804 79912400 81461000 81645440 84707144 86348660 89146000 91279250 92488975 92698384 93258800 94494760 95281280 96756005 98854328 99890500 102056800 105883930 107935825 108180208 110224000 111684800 115872980 116573500 116837440 118118450 118385888 119101600 123567910 125205557 127571000 127859840 130337600 135225260 138157856 139606000 142633600 144841225 146046800 147982360 148877000 149214080 151191616 154809608 159824800 162922000 169031575 169414288 172697320 178292000 182558500 184977950 185396768 186517600 188989520 193512010 196076627 197708656 199781000 204113600 211767860 215871650 216360416 223369600 231745960 233147000 233674880 236236900 236771776 238203200 247135820 250411114 255142000 260675200 264709825 270450520 276315712 279212000 289682450 292093600 295296125 295964720 297754000 302383232 307063397 308919775 309619216 319649600 325844000 338063150 338828576 345394640 356584000 358346939 365117000 369955900 370793536 373035200 377979040 387024020 392153254 395417312 399562000 408227200 423535720 431743300 432720832 462444875 463491920 466294000 472473800 473543552 476406400 483780025 494271640 500822228 510284000 529419650 539679125 540901040 552631424 558424000 561184829 579364900 584187200 590592250 591929440 595508000 614126794 617839550 619238432 626027785 639299200 651688000 676126300 677657152 690789280 713168000 716693878 724206125 730234000 739911800 741587072 746070400 755958080 774048040 784306508 790834624 799124000 845157875 847071440 863486600 865441664 924889750 926983840 932588000 944947600 967560050 980383135 988543280 1001644456 1020568000 1025613653 1058839300 1079358250 1081802080 1116848000 1122369658 1158729800 1168374400 1181184500 1183858880 1191016000 1228253588 1235679100 1238476864 1252055570 1303376000 1323549125 1352252600 1355314304 1381578560 1433387756 1448412250 1460468000 1479823600 1511916160 1535316985 1544598875 1548096080 1568613016 1581669248 1598248000 1690315750 1694142880 1726973200 1791734695 1849779500 1853967680 1865176000 1889895200 1935120100 1960766270 1977086560 2003288912 2041136000 2051227306 2117678600 2158716500 2163604160 2244739316 2317459600 2362369000 2367717760 2382032000 2418900125 2456507176 2471358200 2476953728 2504111140 2647098250 2704505200 2763157120 2805924145 2866775512 2896824500 2920936000 2959647200 3070633970 3089197750 3096192160 3130138925 3137226032 3196496000 3380631500 3388285760 3453946400 3583469390 3699559000 3707935360 3730352000 3779790400 3870240200 3921532540 3954173120 4006577824 4102454612 4235357200 4317433000 4327208320 4489478632 4634919200 4724738000 4837800250 4901915675 4913014352 4942716400 5008222280 5128068265 5294196500 5409010400 5611848290 5733551024 5793649000 5841872000 5919294400 6141267940 6178395500 6192384320 6260277850 6274452064 6761263000 6776571520 6907892800 7166938780 7399118000 7559580800 7676584925 7740480400 7843065080 7908346240 8013155648 8204909224 8470714400 8634866000 8958673475 8978957264 9269838400 9449476000 9675600500 9803831350 9826028704 9885432800 10016444560 10256136530 10392061231 10588393000 10818020800 11223696580 11467102048 11587298000 11838588800 12282535880 12356791000 12384768640 12520555700 12548904128 13522526000 13815785600 14029620725 14333877560 14798236000 15353169850 15480960800 15650694625 15686130160 16026311296 16274360041 16409818448 16941428800 17269732000 17917346950 17957914528 18539676800 18898952000 19351201000 19607662700 19652057408 19770865600 20032889120 20512273060 20784122462 21176786000 21636041600 22447393160 22934204096 23174596000 24509578375 24565071760 24713582000 25041111400 25097808256 25640341325 27045052000 28059241450 28667755120 29596472000 29742795937 30706339700 30961921600 31301389250 31372260320 32548720082 32819636896 33882857600 34539464000 35834693900 35915829056 37797904000 38382924625 38702402000 39215325400 39304114816 39541731200 40065778240 41024546120 41568244924 42353572000 44793367375 44894786320 45868408192 46349192000 49019156750 49130143520 49427164000 50082222800 51280682650 51960306155 54090104000 56118482900 57335510240 59192944000 59485591874 61412679400 61923843200 62602778500 62744520640 65097440164 65639273792 69078928000 70148103625 71669387800 71831658112 76765849250 77404804000 78430650800 80131556480 81371800205 82049092240 83136489848 84707144000 89586734750 89789572640 92698384000 98038313500 98260287040 98854328000 100164445600 102561365300 103920612310 108180208000 112236965800 114671020480 118971183748 122825358800 125205557000 125489041280 128201706625 130194880328 131278547584 140296207250 143338775600 148713979685 153531698500 154809608000 156861301600 162743600410 164098184480 166272979696 169414288000 179173469500 179579145280 196076627000 196520574080 197708656000 200328891200 205122730600 207841224620 224473931600 229342040960 237942367496 245650717600 250411114000 256403413250 259801530775 260389760656 280592414500 286677551200 297427959370 307063397000 309619216000 313722603200 325487200820 328196368960 332545959392 358346939000 359158290560 392153254000 400657782400 406859001025 410245461200 415682449240 448947863200 475884734992 491301435200 500822228000 512806826500 519603061550 520779521312 561184829000 573355102400 594855918740 614126794000 627445206400 650974401640 656392737920 665091918784 716693878000 743569898425 784306508000 813718002050 820490922400 831364898480 862541082173 897895726400 951769469984 982602870400 1001644456000 1025613653000 1039206123100 1041559042624 1122369658000 1146710204800 1189711837480 1228253588000 1299007653875 1301948803280 1330183837568 1433387756000 1487139796850 1568613016000 1627436004100 1640981844800 1662729796960 1725082164346 1795791452800 1903538939968 2003288912000 2034295005125 2051227306000 2078412246200 2083118085248 2244739316000 2379423674960 2456507176000 2598015307750 2603897606560 2866775512000 2974279593700 3137226032000 3254872008200 3281963689600 3325459593920 3450164328692 3717849492125 3807077879936 4068590010250 4102454612000 4156824492400 4312705410865 4489478632000 4758847349920 4913014352000 5196030615500 5207795213120 5733551024000 5948559187400 6509744016400 6650919187840 6900328657384 7435698984250 8137180020500 8204909224000 8313648984800 8625410821730 8978957264000 9517694699840 10392061231000 10415590426240 11897118374800 13019488032800 13800657314768 14871397968500 16274360041000 16409818448000 16627297969600 17250821643460 19035389399680 20784122462000 21563527054325 23794236749600 26038976065600 27601314629536 29742795937000 32548720082000 33254595939200 34501643286920 41568244924000 43127054108650 47588473499200 52077952131200 55202629259072 59485591874000 65097440164000 69003286573840 83136489848000 86254108217300 95176946998400 107817635271625 110405258518144 118971183748000 130194880328000 138006573147680 166272979696000 172508216434600 215635270543250 237942367496000 260389760656000 276013146295360 345016432869200 431270541086500 475884734992000 552026292590720 690032865738400 862541082173000 1380065731476800 1725082164346000 2760131462953600 3450164328692000 6900328657384000 13800657314768000
- Sum of all divisors σ(n): 36660862548507600
- Sum of proper divisors (its aliquot sum) s(n): 22860205233739600
- 13800657314768000 is an abundant number, because the sum of its proper divisors (22860205233739600) is greater than itself. Its abundance is 9059547918971600
Bases of 13800657314768000
- Binary: 1100010000011110011111111011001110100111100100100000002
- Hexadecimal: 0x31079FECE9E480
- Base-36: 3RVXAG2ST4W
Squares and roots of 13800657314768000
- 13800657314768000 squared (138006573147680002) is 190458142319659504230893824000000
- 13800657314768000 cubed (138006573147680003) is 2628447554960933716355197296192355192832000000000
-
The
square root of 13800657314768000 is 117476198.9288383471 -
The
cube root of 13800657314768000 is 239864.8389114751
Scales and comparisons
How big is 13800657314768000?- 13,800,657,314,768,000 seconds is equal to 438,818,214 years, 19 weeks, 3 days, 53 minutes, 20 seconds.
-
To count from 1 to 13,800,657,314,768,000 would take you about one billion, three hundred sixteen million, four hundred fifty-four thousand, six hundred forty-three 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 13800657314768000 cubic inches would be around 19988.7 feet tall.
Recreational maths with 13800657314768000
- 13800657314768000 backwards is 00086741375600831
- The number of decimal digits it has is: 17
- The sum of 13800657314768000's digits is 59
- More coming soon!
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The information we have on file for 13800657314768000 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 13800657314768000, math, Factors of 13800657314768000, curriculum, school, college, exams, university, Prime factorization of 13800657314768000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, eight hundred trillion, six hundred fifty-seven billion, three hundred fourteen million, seven hundred sixty-eight thousand.