13506408608000
13,506,408,608,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13506408608000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
13506408608000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13506408608000:
28 × 53 × 72 × 11 × 17 × 73 × 631
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 11 × 17 × 73 × 631)See below for interesting mathematical facts about the number 13506408608000 from the Numbermatics database.
Names of 13506408608000
- Cardinal: 13506408608000 can be written as Thirteen trillion, five hundred six billion, four hundred eight million, six hundred eight thousand.
Scientific notation
- Scientific notation: 1.3506408608 × 1013
Factors of 13506408608000
Divisors of 13506408608000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 20 22 25 28 32 34 35 40 44 49 50 55 56 64 68 70 73 77 80 85 88 98 100 110 112 119 125 128 136 140 146 154 160 170 175 176 187 196 200 220 224 238 245 250 256 272 275 280 292 308 320 340 350 352 365 374 385 392 400 425 440 448 476 490 500 511 539 544 550 560 584 595 616 631 640 680 700 704 730 748 770 784 800 803 833 850 875 880 896 935 952 980 1000 1022 1078 1088 1100 1120 1168 1190 1225 1232 1241 1262 1280 1309 1360 1375 1400 1408 1460 1496 1540 1568 1600 1606 1666 1700 1750 1760 1792 1825 1870 1904 1925 1960 2000 2044 2125 2156 2176 2200 2240 2336 2380 2450 2464 2482 2524 2555 2618 2695 2720 2750 2800 2816 2920 2975 2992 3080 3136 3155 3200 3212 3332 3400 3500 3520 3577 3650 3740 3808 3850 3920 4000 4015 4088 4165 4250 4312 4352 4400 4417 4480 4672 4675 4760 4900 4928 4964 5048 5110 5236 5390 5440 5500 5600 5621 5840 5950 5984 6125 6160 6205 6272 6310 6400 6424 6545 6664 6800 6941 7000 7040 7154 7300 7480 7616 7700 7840 8000 8030 8176 8330 8500 8624 8687 8800 8834 8960 9125 9163 9344 9350 9520 9625 9800 9856 9928 10096 10220 10472 10727 10780 10880 11000 11200 11242 11680 11900 11968 12250 12320 12410 12544 12620 12775 12848 13090 13328 13475 13600 13651 13882 14000 14080 14308 14600 14875 14960 15232 15400 15680 15775 16000 16060 16352 16660 17000 17248 17374 17600 17668 17885 18250 18326 18688 18700 19040 19250 19600 19712 19856 20075 20192 20440 20825 20944 21454 21560 21760 22000 22085 22400 22484 23360 23375 23800 23936 24500 24640 24820 25240 25550 25696 26180 26656 26950 27200 27302 27764 28000 28105 28616 29200 29750 29920 30464 30800 30919 31025 31360 31550 32000 32120 32704 32725 33320 34000 34496 34705 34748 35200 35336 35770 36500 36652 37400 38080 38500 39200 39347 39712 40150 40384 40880 41650 41888 42908 43120 43435 44000 44170 44800 44968 45815 46063 46720 46750 47600 47872 48587 49000 49280 49640 50480 51100 51392 52360 53312 53635 53900 54400 54604 55528 56000 56210 57232 58400 59500 59840 60809 61600 61838 62050 62720 63100 63875 64240 65408 65450 66640 67375 68000 68255 68992 69410 69496 70400 70672 71540 73000 73304 74800 75089 76160 77000 78400 78694 78875 79424 80300 80768 81760 83300 83776 85816 86240 86870 88000 88340 89425 89936 91630 92126 93440 93500 95200 95557 97174 98000 98560 99280 100375 100960 102200 102784 104125 104720 106624 107270 107800 108800 109208 110425 111056 112000 112420 114464 116800 117997 119000 119680 121618 123200 123676 124100 126200 127750 128480 130816 130900 133280 134750 136000 136510 137984 138820 138992 140525 141344 143080 146000 146608 149600 150178 152320 154000 154595 155125 156800 157388 157750 158848 160600 161536 163520 163625 166600 167552 171632 172480 173525 173740 176000 176680 178850 179872 183260 184252 187000 190400 191114 194348 196000 196735 198560 200750 201920 204400 205568 208250 209440 213248 214540 215600 217175 218416 220850 222112 224000 224840 228928 229075 230315 233600 235994 238000 239360 242935 243236 246400 247352 248200 252400 255500 256960 261800 266560 268175 269500 272000 273020 277640 277984 281050 282688 286160 292000 293216 299200 300356 304045 308000 309190 310250 313600 314776 315500 317696 321200 322441 327040 327250 333200 335104 340109 341275 343264 344960 347050 347480 352000 353360 357700 359744 366520 368504 374000 375445 380800 382228 388696 392000 393470 397120 401500 403840 408800 416500 418880 429080 431200 434350 436832 441700 444224 447125 449680 457856 458150 460630 467200 471988 476000 477785 485870 486472 492800 494704 496400 504800 506693 511000 513920 523600 525623 533120 536350 539000 544000 546040 552125 555280 555968 562100 565376 572320 584000 586432 589985 598400 600712 608090 616000 618380 620500 629552 631000 642400 644882 654080 654500 666400 668899 680218 682550 686528 689920 694100 694960 702625 706720 715400 719488 733040 737008 748000 750890 761600 764456 772975 777392 783071 784000 786940 794240 803000 807680 817600 825979 833000 837760 858160 862400 867625 868700 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17668000 17734255 17987200 18056696 18326000 18425200 18772250 18879520 19111400 19222784 19434800 19458880 19576775 19673500 19788160 19856000 20192000 20267720 20636224 20649475 20944000 21024920 21404768 21454000 21766976 21841600 21925988 22211200 22484000 22570870 22892800 23031500 23127412 23599400 23889250 24028480 24293500 24323600 24462592 24735200 24827957 25058272 25182080 25334650 25696000 25795280 26281150 26431328 26656000 26755960 27208720 27302000 27407485 27764000 27798400 28268800 28374808 28616000 28909265 29321600 29480320 29499250 30035600 30207232 30404500 30578240 30919000 31095680 31322840 31477600 32244100 32428352 33039160 33444950 33639872 34010900 34326400 34455124 34748000 35336000 35468510 35974400 36113392 36652000 36850400 37544500 37759040 38222800 38370479 38869600 38917760 39153550 39347000 39576320 39712000 40305125 40535440 41272448 41298950 41888000 42049840 42513625 42809536 42908000 43068905 43533952 43683200 43851976 44422400 44968000 45141740 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343264000 344551240 350815808 354685100 361133920 368504000 370038592 377590400 382228000 383704790 388696000 389177600 391535500 397247312 405354400 412724480 412989500 420498400 422075269 428095360 430689050 435339520 436832000 438519760 443356375 451417400 453996928 462548240 471988000 480569600 482371736 486472000 494704000 496559140 501165440 506693000 515905600 525623000 528626560 535119200 544174400 548149700 551281984 564271750 567496160 577814272 578185300 600712000 602964670 611564800 613927664 620698925 626456800 629552000 644882000 648567040 660783200 668899000 672797440 680218000 685187125 689102480 701631616 709370200 722267840 722731625 737008000 740077184 755180800 764456000 767409580 777392000 783071000 794494624 810708800 825979000 840996800 844150538 856190720 861378100 877039520 886712750 902834800 907993856 925096480 943976000 959261975 964743472 972944000 989408000 993118280 1002330880 1013386000 1031811200 1051246000 1057253120 1070238400 1076722625 1088348800 1096299400 1102563968 1128543500 1134992320 1156370600 1201424000 1205929340 1227855328 1241397850 1252913600 1259104000 1289764000 1321566400 1337798000 1360436000 1370374250 1378204960 1403263232 1418740400 1444535680 1445463250 1474016000 1480154368 1507411675 1528912000 1534819160 1554784000 1566142000 1588989248 1621417600 1651958000 1681993600 1688301076 1722756200 1754079040 1773425500 1805669600 1850192960 1887952000 1918523950 1929486944 1945888000 1986236560 2026772000 2063622400 2102492000 2110376345 2140476800 2153445250 2176697600 2192598800 2205127936 2257087000 2269984640 2312741200 2402848000 2411858680 2455710656 2482795700 2505827200 2579528000 2643132800 2675596000 2720872000 2740748500 2756409920 2837480800 2889071360 2890926500 3014823350 3057824000 3069638320 3103494625 3132284000 3177978496 3242835200 3303916000 3363987200 3376602152 3445512400 3508158080 3546851000 3611339200 3700385920 3775904000 3837047900 3858973888 3972473120 4053544000 4204984000 4220752690 4280953600 4306890500 4385197600 4514174000 4539969280 4625482400 4796309875 4823717360 4911421312 4965591400 5011654400 5159056000 5286265600 5351192000 5441744000 5481497000 5512819840 5674961600 5781853000 6029646700 6139276640 6206989250 6264568000 6355956992 6607832000 6753204304 6891024800 7016316160 7093702000 7222678400 7400771840 7537058375 7674095800 7717947776 7944946240 8107088000 8409968000 8441505380 8613781000 8770395200 9028348000 9250964800 9592619750 9647434720 9822842624 9931182800 10318112000 10551881725 10702384000 10883488000 10962994000 11025639680 11349923200 11563706000 12059293400 12278553280 12413978500 12529136000 13215664000 13506408608 13782049600 14187404000 14445356800 15074116750 15348191600 15435895552 15889892480 16214176000 16819936000 16883010760 17227562000 17540790400 18056696000 18501929600 19185239500 19294869440 19862365600 21103763450 21404768000 21925988000 22699846400 23127412000 24118586800 24557106560 24827957000 25058272000 26431328000 27012817216 27564099200 28374808000 30148233500 30696383200 31779784960 33766021520 34455124000 35081580800 36113392000 37003859200 38370479000 38589738880 39724731200 42207526900 43851976000 46254824000 48237173600 49114213120 49655914000 52759408625 54025634432 55128198400 56749616000 60296467000 61392766400 67532043040 68910248000 72226784000 76740958000 77179477760 79449462400 84415053800 87703952000 92509648000 96474347200 99311828000 105518817250 108051268864 113499232000 120592934000 122785532800 135064086080 137820496000 153481916000 158898924800 168830107600 175407904000 185019296000 192948694400 198623656000 211037634500 241185868000 245571065600 270128172160 275640992000 306963832000 337660215200 385897388800 397247312000 422075269000 482371736000 540256344320 613927664000 675320430400 794494624000 844150538000 964743472000 1227855328000 1350640860800 1688301076000 1929486944000 2701281721600 3376602152000 6753204304000 13506408608000
- Sum of all divisors σ(n): 45901079917056
- Sum of proper divisors (its aliquot sum) s(n): 32394671309056
- 13506408608000 is an abundant number, because the sum of its proper divisors (32394671309056) is greater than itself. Its abundance is 18888262701056
Bases of 13506408608000
- Binary: 110001001000101101001010111111110001000000002
- Hexadecimal: 0xC48B4AFF100
- Base-36: 4SCRAYK8W
Squares and roots of 13506408608000
- 13506408608000 squared (135064086080002) is 182423073486256497664000000
- 13506408608000 cubed (135064086080003) is 2463880570032591329744981491712000000000
-
The
square root of 13506408608000 is 3675106.6117869289 -
The
cube root of 13506408608000 is 23814.7829727649
Scales and comparisons
How big is 13506408608000?- 13,506,408,608,000 seconds is equal to 429,462 years, 5 days, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 13,506,408,608,000 would take you about one million, seventy-three thousand, six hundred fifty-five 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 13506408608000 cubic inches would be around 1984.6 feet tall.
Recreational maths with 13506408608000
- 13506408608000 backwards is 00080680460531
- The number of decimal digits it has is: 14
- The sum of 13506408608000's digits is 41
- More coming soon!
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"Number 13506408608000 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 13506408608000 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/13506408608000/
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The information we have on file for 13506408608000 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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