126864864008601600

Names of 126864864008601600

• Cardinal: 126864864008601600 can be written as One hundred twenty-six quadrillion, eight hundred sixty-four trillion, eight hundred sixty-four billion, eight million, six hundred one thousand, six hundred.

Scientific notation

• Scientific notation: 1.268648640086016 × 10¹⁷

Factors of 126864864008601600

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 658

Divisors of 126864864008601600

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 128 140 147 150 160 168 175 192 196 200 210 224 240 245 256 280 294 300 320 336 350 384 392 400 420 448 480 490 512 525 560 588 600 640 641 672 700 735 768 784 800 840 896 960 980 1024 1050 1120 1176 1200 1225 1280 1282 1344 1400 1470 1536 1568 1600 1680 1792 1920 1923 1960 2048 2100 2240 2352 2400 2450 2560 2564 2688 2800 2940 3072 3136 3200 3205 3360 3584 3675 3840 3846 3920 4096 4200 4480 4487 4704 4800 4900 5120 5128 5376 5600 5880 6144 6272 6400 6410 6720 7168 7350 7680 7692 7840 8192 8400 8960 8974 9408 9600 9615 9800 10240 10256 10752 11200 11760 12288 12544 12800 12820 13440 13461 14336 14700 15360 15384 15680 16025 16384 16800 17920 17948 18816 19200 19230 19600 20480 20512 21504 22400 22435 23520 24576 25088 25600 25640 26880 26922 28672 29400 30720 30768 31360 31409 32050 32768 33600 35840 35896 37632 38400 38460 39200 40960 41024 43008 44800 44870 47040 48075 49152 50176 51200 51280 53760 53844 57344 58800 61440 61536 62720 62818 64100 65536 67200 67305 71680 71792 75264 76800 76920 78400 81920 82048 86016 89600 89740 94080 94227 96150 98304 100352 102400 102560 107520 107688 112175 114688 117600 122880 123072 125440 125636 128200 131072 134400 134610 143360 143584 150528 153600 153840 156800 157045 163840 164096 172032 179200 179480 188160 188454 192300 196608 200704 204800 205120 215040 215376 224350 229376 235200 245760 246144 250880 251272 256400 268800 269220 286720 287168 301056 307200 307680 313600 314090 327680 328192 336525 344064 358400 358960 376320 376908 384600 393216 401408 409600 410240 410881 430080 430752 448700 458752 470400 471135 491520 492288 501760 502544 512800 537600 538440 573440 574336 602112 614400 615360 627200 628180 655360 656384 673050 688128 716800 717920 752640 753816 769200 785225 802816 819200 820480 821762 860160 861504 897400 917504 940800 942270 983040 984576 1003520 1005088 1025600 1075200 1076880 1146880 1148672 1204224 1228800 1230720 1232643 1254400 1256360 1312768 1346100 1376256 1433600 1435840 1505280 1507632 1538400 1570450 1605632 1638400 1640960 1643524 1720320 1723008 1794800 1881600 1884540 1966080 1969152 2007040 2010176 2051200 2054405 2150400 2153760 2293760 2297344 2355675 2408448 2457600 2461440 2465286 2508800 2512720 2625536 2692200 2752512 2867200 2871680 2876167 3010560 3015264 3076800 3140900 3211264 3276800 3281920 3287048 3440640 3446016 3589600 3763200 3769080 3938304 4014080 4020352 4102400 4108810 4300800 4307520 4587520 4594688 4711350 4816896 4915200 4922880 4930572 5017600 5025440 5251072 5384400 5734400 5743360 5752334 6021120 6030528 6153600 6163215 6281800 6422528 6563840 6574096 6881280 6892032 7179200 7526400 7538160 7876608 8028160 8040704 8204800 8217620 8601600 8615040 8628501 9189376 9422700 9633792 9830400 9845760 9861144 10035200 10050880 10272025 10502144 10768800 11468800 11486720 11504668 12042240 12061056 12307200 12326430 12563600 13127680 13148192 13762560 13784064 14358400 14380835 15052800 15076320 15753216 16056320 16081408 16409600 16435240 17203200 17230080 17257002 18378752 18845400 19267584 19691520 19722288 20070400 20101760 20133169 20544050 21004288 21537600 22937600 22973440 23009336 24084480 24122112 24614400 24652860 25127200 26255360 26296384 27568128 28716800 28761670 30105600 30152640 30816075 31506432 32112640 32162816 32819200 32870480 34406400 34460160 34514004 36757504 37690800 39383040 39444576 40140800 40203520 40266338 41088100 42008576 43075200 43142505 45946880 46018672 48168960 48244224 49228800 49305720 50254400 52510720 52592768 55136256 57433600 57523340 60211200 60305280 60399507 61632150 63012864 64325632 65638400 65740960 68812800 68920320 69028008 71904175 73515008 75381600 78766080 78889152 80281600 80407040 80532676 82176200 84017152 86150400 86285010 91893760 92037344 96337920 96488448 98457600 98611440 100508800 100665845 105021440 105185536 110272512 114867200 115046680 120422400 120610560 120799014 123264300 126025728 128651264 131276800 131481920 137840640 138056016 143808350 147030016 150763200 157532160 157778304 160563200 160814080 161065352 164352400 172300800 172570020 183787520 184074688 192976896 196915200 197222880 201017600 201331690 210042880 210371072 215712525 220545024 229734400 230093360 240844800 241221120 241598028 246528600 252051456 257302528 262553600 262963840 263374721 275681280 276112032 287616700 294060032 301526400 301997535 315064320 315556608 321628160 322130704 328704800 344601600 345140040 367575040 368149376 385953792 393830400 394445760 402035200 402663380 420085760 420742144 431425050 441090048 459468800 460186720 481689600 482442240 483196056 493057200 503329225 514605056 525107200 525927680 526749442 551362560 552224064 575233400 588120064 603052800 603995070 630128640 631113216 643256320 644261408 657409600 689203200 690280080 735150080 736298752 771907584 787660800 788891520 790124163 804070400 805326760 841484288 862850100 882180096 918937600 920373440 964884480 966392112 986114400 1006658450 1029210112 1050214400 1051855360 1053498884 1102725120 1104448128 1150466800 1206105600 1207990140 1260257280 1262226432 1286512640 1288522816 1314819200 1316873605 1378406400 1380560160 1470300160 1472597504 1509987675 1543815168 1575321600 1577783040 1580248326 1608140800 1610653520 1682968576 1725700200 1764360192 1837875200 1840746880 1843623047 1929768960 1932784224 1972228800 2013316900 2058420224 2100428800 2103710720 2106997768 2205450240 2208896256 2300933600 2412211200 2415980280 2524452864 2573025280 2577045632 2629638400 2633747210 2756812800 2761120320 2940600320 2945195008 3019975350 3087630336 3150643200 3155566080 3160496652 3216281600 3221307040 3365937152 3451400400 3675750400 3681493760 3687246094 3859537920 3865568448 3944457600 3950620815 4026633800 4116840448 4207421440 4213995536 4410900480 4417792512 4601867200 4824422400 4831960560 5048905728 5146050560 5154091264 5259276800 5267494420 5513625600 5522240640 5530869141 5890390016 6039950700 6175260672 6301286400 6311132160 6320993304 6432563200 6442614080 6584368025 6731874304 6902800800 7351500800 7362987520 7374492188 7719075840 7731136896 7888915200 7901241630 8053267600 8414842880 8427991072 8821800960 8835585024 9203734400 9218115235 9648844800 9663921120 10097811456 10292101120 10308182528 10518553600 10534988840 11027251200 11044481280 11061738282 11780780032 12079901400 12350521344 12622264320 12641986608 12865126400 12885228160 12905361329 13168736050 13463748608 13805601600 14703001600 14725975040 14748984376 15438151680 15462273792 15777830400 15802483260 16106535200 16829685760 16855982144 17671170048 18407468800 18436230470 19297689600 19327842240 19753104075 20195622912 20584202240 20616365056 21037107200 21069977680 22054502400 22088962560 22123476564 23561560064 24159802800 25244528640 25283973216 25730252800 25770456320 25810722658 26337472100 26927497216 27611203200 27654345705 29451950080 29497968752 30876303360 30924547584 31555660800 31604966520 32213070400 33659371520 33711964288 35342340096 36814937600 36872460940 38595379200 38655684480 38716083987 39506208150 40391245824 41232730112 42074214400 42139955360 44109004800 44177925120 44246953128 46090576175 47123120128 48319605600 50489057280 50567946432 51460505600 51540912640 51621445316 52674944200 53854994432 55222406400 55308691410 58903900160 58995937504 61752606720 61849095168 63111321600 63209933040 64426140800 64526806645 67318743040 67423928576 70684680192 73629875200 73744921880 77190758400 77311368960 77432167974 79012416300 80782491648 82465460224 84148428800 84279910720 88355850240 88493906256 92181152350 94246240256 96639211200 100978114560 101135892864 102921011200 103081825280 103242890632 105349888400 110444812800 110617382820 117807800320 117991875008 123698190336 126222643200 126419866080 128852281600 129053613290 134637486080 134847857152 138271728525 141369360384 147259750400 147489843760 154381516800 154622737920 154864335948 158024832600 161564983296 164930920448 168296857600 168559821440 176711700480 176987812512 184362304700 188492480512 193278422400 193580419935 201956229120 202271785728 206163650560 206485781264 210699776800 220889625600 221234765640 235615600640 235983750016 247396380672 252445286400 252839732160 257704563200 258107226580 269274972160 269695714304 276543457050 282738720768 294519500800 294979687520 308763033600 309245475840 309728671896 316049665200 322634033225 329861840896 336593715200 337119642880 353423400960 353975625024 368724609400 376984961024 386556844800 387160839870 403912458240 404543571456 412327301120 412971562528 421399553600 441779251200 442469531280 471231201280 471967500032 494792761344 504890572800 505679464320 515409126400 516214453160 539391428608 553086914100 565477441536 589039001600 589959375040 618490951680 619457343792 632099330400 645268066450 659723681792 673187430400 674239285760 706846801920 707951250048 737449218800 773113689600 774321679740 807824916480 809087142912 824654602240 825943125056 842799107200 883558502400 884939062560 942462402560 943935000064 967902099675 989585522688 1009781145600 1011358928640 1030818252800 1032428906320 1078782857216 1106173828200 1130954883072 1178078003200 1179918750080 1236981903360 1238914687584 1264198660800 1290536132900 1319447363584 1346374860800 1348478571520 1413693603840 1415902500096 1474898437600 1546227379200 1548643359480 1618174285824 1649309204480 1651886250112 1685598214400 1767117004800 1769878125120 1884924805120 1887870000128 1935804199350 1979171045376 2019562291200 2022717857280 2061636505600 2064857812640 2157565714432 2212347656400 2356156006400 2359837500160 2473963806720 2477829375168 2528397321600 2581072265800 2638894727168 2696957143040 2827387207680 2831805000192 2949796875200 3092454758400 3097286718960 3236348571648 3298618408960 3303772500224 3371196428800 3534234009600 3539756250240 3775740000256 3871608398700 3958342090752 4039124582400 4045435714560 4123273011200 4129715625280 4315131428864 4424695312800 4712312012800 4719675000320 4947927613440 4955658750336 5056794643200 5162144531600 5393914286080 5654774415360 5663610000384 5899593750400 6184909516800 6194573437920 6472697143296 6597236817920 6607545000448 6742392857600 7068468019200 7079512500480 7551480000512 7743216797400 7916684181504 8090871429120 8246546022400 8259431250560 8630262857728 8849390625600 9424624025600 9439350000640 9895855226880 9911317500672 10113589286400 10324289063200 10787828572160 11327220000768 11799187500800 12369819033600 12389146875840 12945394286592 13194473635840 13215090000896 13484785715200 14136936038400 14159025000960 15102960001024 15486433594800 16181742858240 16493092044800 16518862501120 17260525715456 17698781251200 18878700001280 19791710453760 19822635001344 20227178572800 20648578126400 21575657144320 22654440001536 23598375001600 24739638067200 24778293751680 25890788573184 26430180001792 26969571430400 28273872076800 28318050001920 30205920002048 30972867189600 32363485716480 32986184089600 33037725002240 34521051430912 35397562502400 37757400002560 39583420907520 39645270002688 40454357145600 41297156252800 43151314288640 45308880003072 47196750003200 49479276134400 49556587503360 51781577146368 52860360003584 53939142860800 56636100003840 60411840004096 61945734379200 64726971432960 65972368179200 66075450004480 70795125004800 75514800005120 79290540005376 80908714291200 82594312505600 86302628577280 90617760006144 94393500006400 98958552268800 99113175006720 103563154292736 105720720007168 107878285721600 113272200007680 120823680008192 123891468758400 129453942865920 132150900008960 141590250009600 151029600010240 158581080010752 161817428582400 165188625011200 172605257154560 181235520012288 188787000012800 197917104537600 198226350013440 211441440014336 215756571443200 226544400015360 241647360016384 247782937516800 258907885731840 264301800017920 283180500019200 302059200020480 317162160021504 323634857164800 330377250022400 362471040024576 377574000025600 396452700026880 422882880028672 431513142886400 453088800030720 495565875033600 517815771463680 528603600035840 566361000038400 604118400040960 634324320043008 647269714329600 660754500044800 724942080049152 755148000051200 792905400053760 845765760057344 863026285772800 906177600061440 991131750067200 1057207200071680 1132722000076800 1208236800081920 1268648640086016 1294539428659200 1321509000089600 1510296000102400 1585810800107520 1691531520114688 1812355200122880 1982263500134400 2114414400143360 2265444000153600 2537297280172032 2589078857318400 2643018000179200 3020592000204800 3171621600215040 3624710400245760 3964527000268800 4228828800286720 4530888000307200 5074594560344064 5286036000358400 6041184000409600 6343243200430080 7929054000537600 8457657600573440 9061776000614400 10572072000716800 12686486400860160 15858108001075200 18123552001228800 21144144001433600 25372972801720320 31716216002150400 42288288002867200 63432432004300800 126864864008601600
• Sum of all divisors σ(n): 488750202306784656
• Sum of proper divisors (its aliquot sum) s(n): 361885338298183056
• 126864864008601600 is an abundant number, because the sum of its proper divisors (361885338298183056) is greater than itself. Its abundance is 235020474289581456

Bases of 126864864008601600

• Binary: 111000010101101101110101111110001101101100000000000000000₂
• Hexadecimal: 0x1C2B6EBF1B60000
• Base-36: YP5U9Y500LC

Squares and roots of 126864864008601600

• 126864864008601600 squared (126864864008601600²) is 16094693719920977628438787522560000
• 126864864008601600 cubed (126864864008601600³) is 2041851130037869035080201592543250406594052096000000
• The square root of 126864864008601600 is 356180942.7925665985
• The cube root of 126864864008601600 is 502474.2216042127

Scales and comparisons

• 126,864,864,008,601,600 seconds is equal to 4,033,910,256 years, 35 weeks, 3 days, 21 hours, 20 minutes.
• To count from 1 to 126,864,864,008,601,600 would take you about twelve billion, one hundred one million, seven hundred thirty thousand, seven hundred seventy 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 126864864008601600 cubic inches would be around 41872.9 feet tall.

Recreational maths with 126864864008601600

• 126864864008601600 backwards is 006106800468468621
• The number of decimal digits it has is: 18
• The sum of 126864864008601600's digits is 66
• More coming soon!