12864485572300800

Names of 12864485572300800

• Cardinal: 12864485572300800 can be written as Twelve quadrillion, eight hundred sixty-four trillion, four hundred eighty-five billion, five hundred seventy-two million, three hundred thousand, eight hundred.

Scientific notation

• Scientific notation: 1.28644855723008 × 10¹⁶

Factors of 12864485572300800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 704

Divisors of 12864485572300800

• Number of divisors d(n): 936
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 53 60 64 72 75 80 90 96 100 106 120 128 144 150 159 160 180 192 200 212 225 240 256 265 288 300 318 320 360 384 400 424 450 477 480 512 530 576 600 636 640 641 720 768 795 800 848 900 954 960 1024 1060 1152 1200 1272 1280 1282 1325 1440 1536 1590 1600 1696 1800 1908 1920 1923 2048 2120 2304 2385 2400 2544 2560 2564 2650 2880 3072 3180 3200 3205 3392 3600 3816 3840 3846 3975 4096 4240 4608 4770 4800 5088 5120 5128 5300 5760 5769 6144 6360 6400 6410 6784 7200 7632 7680 7692 7950 8480 9216 9540 9600 9615 10176 10240 10256 10600 11520 11538 11925 12288 12720 12800 12820 13568 14400 15264 15360 15384 15900 16025 16960 18432 19080 19200 19230 20352 20480 20512 21200 23040 23076 23850 25440 25600 25640 27136 28800 28845 30528 30720 30768 31800 32050 33920 33973 36864 38160 38400 38460 40704 41024 42400 46080 46152 47700 48075 50880 51200 51280 54272 57600 57690 61056 61440 61536 63600 64100 67840 67946 76320 76800 76920 81408 82048 84800 92160 92304 95400 96150 101760 101919 102400 102560 108544 115200 115380 122112 123072 127200 128200 135680 135892 144225 152640 153600 153840 162816 164096 169600 169865 184320 184608 190800 192300 203520 203838 205120 217088 230400 230760 244224 246144 254400 256400 271360 271784 288450 305280 305757 307200 307680 325632 328192 339200 339730 369216 381600 384600 407040 407676 410240 410881 460800 461520 488448 492288 508800 509595 512800 542720 543568 576900 610560 611514 615360 651264 656384 678400 679460 738432 763200 769200 814080 815352 820480 821762 849325 921600 923040 976896 984576 1017600 1019190 1025600 1085440 1087136 1153800 1221120 1223028 1230720 1232643 1312768 1356800 1358920 1476864 1526400 1528785 1538400 1628160 1630704 1640960 1643524 1698650 1846080 1953792 1969152 2035200 2038380 2051200 2054405 2174272 2307600 2442240 2446056 2461440 2465286 2547975 2625536 2713600 2717840 2953728 3052800 3057570 3076800 3256320 3261408 3281920 3287048 3397300 3692160 3697929 3938304 4070400 4076760 4102400 4108810 4348544 4615200 4884480 4892112 4922880 4930572 5095950 5427200 5435680 5907456 6105600 6115140 6153600 6163215 6522816 6563840 6574096 6794600 7384320 7395858 7643925 7876608 8140800 8153520 8204800 8217620 8697088 9230400 9768960 9784224 9845760 9861144 10191900 10272025 10871360 11814912 12211200 12230280 12307200 12326430 13045632 13127680 13148192 13589200 14768640 14791716 15287850 16281600 16307040 16409600 16435240 17394176 18460800 18489645 19568448 19691520 19722288 20383800 20544050 21742720 21776693 23629824 24422400 24460560 24614400 24652860 26091264 26296384 27178400 29537280 29583432 30575700 30816075 32614080 32819200 32870480 34788352 36921600 36979290 39136896 39383040 39444576 40767600 41088100 43485440 43553386 48844800 48921120 49228800 49305720 52182528 52592768 54356800 59074560 59166864 61151400 61632150 65228160 65330079 65638400 65740960 69576704 73843200 73958580 78273792 78889152 81535200 82176200 86970880 87106772 92448225 97842240 98457600 98611440 104365056 105185536 108713600 108883465 118149120 118333728 122302800 123264300 130456320 130660158 131481920 139153408 147686400 147917160 156547584 157778304 163070400 164352400 173941760 174213544 184896450 195684480 195990237 196915200 197222880 208730112 210371072 217427200 217766930 236667456 244605600 246528600 260912640 261320316 262963840 263374721 295372800 295834320 313095168 315556608 326140800 326650395 328704800 347883520 348427088 369792900 391368960 391980474 394445760 417460224 420742144 434854400 435533860 473334912 489211200 493057200 521825280 522640632 525927680 526749442 544417325 590745600 591668640 626190336 631113216 652281600 653300790 657409600 695767040 696854176 739585800 782737920 783960948 788891520 790124163 841484288 869708800 871067720 946669824 978422400 979951185 986114400 1043650560 1045281264 1051855360 1053498884 1088834650 1183337280 1252380672 1262226432 1304563200 1306601580 1314819200 1316873605 1393708352 1479171600 1565475840 1567921896 1577783040 1580248326 1633251975 1682968576 1739417600 1742135440 1893339648 1956844800 1959902370 1972228800 2087301120 2090562528 2103710720 2106997768 2177669300 2366674560 2370372489 2524452864 2609126400 2613203160 2629638400 2633747210 2787416704 2958343200 3130951680 3135843792 3155566080 3160496652 3266503950 3478835200 3484270880 3786679296 3913689600 3919804740 3944457600 3950620815 4181125056 4207421440 4213995536 4355338600 4733349120 4740744978 4899755925 5048905728 5218252800 5226406320 5259276800 5267494420 5574833408 5916686400 6261903360 6271687584 6311132160 6320993304 6533007900 6584368025 6968541760 7573358592 7827379200 7839609480 7888915200 7901241630 8362250112 8414842880 8427991072 8710677200 9466698240 9481489956 9799511850 10436505600 10452812640 10518553600 10534988840 11149666816 11833372800 11851862445 12543375168 12622264320 12641986608 13066015800 13168736050 13937083520 13958860213 15146717184 15654758400 15679218960 15777830400 15802483260 16724500224 16855982144 17421354400 18933396480 18962979912 19599023700 19753104075 20905625280 21037107200 21069977680 22299333632 23666745600 23703724890 25086750336 25244528640 25283973216 26132031600 26337472100 27874167040 27917720426 31309516800 31358437920 31555660800 31604966520 33449000448 33711964288 34842708800 37866792960 37925959824 39198047400 39506208150 41811250560 41876580639 42074214400 42139955360 44598667264 47333491200 47407449780 50173500672 50567946432 52264063200 52674944200 55748334080 55835440852 59259312225 62716875840 63111321600 63209933040 66898000896 67423928576 69685417600 69794301065 75733585920 75851919648 78396094800 79012416300 83622501120 83753161278 84279910720 89197334528 94666982400 94814899560 100347001344 101135892864 104528126400 105349888400 111496668160 111670881704 118518624450 125433751680 125629741917 126222643200 126419866080 133796001792 134847857152 139370835200 139588602130 151703839296 156792189600 158024832600 167245002240 167506322556 168559821440 189333964800 189629799120 200694002688 202271785728 209056252800 209382903195 210699776800 222993336320 223341763408 237037248900 250867503360 251259483834 252839732160 267592003584 269695714304 278741670400 279177204260 303407678592 313584379200 316049665200 334490004480 335012645112 337119642880 348971505325 378667929600 379259598240 401388005376 404543571456 418112505600 418765806390 421399553600 445986672640 446683526816 474074497800 501735006720 502518967668 505679464320 539391428608 557483340800 558354408520 606815357184 627168758400 628148709585 632099330400 668980008960 670025290224 674239285760 697943010650 758519196480 802776010752 809087142912 836225011200 837531612780 842799107200 893367053632 948148995600 1003470013440 1005037935336 1011358928640 1046914515975 1078782857216 1114966681600 1116708817040 1213630714368 1254337516800 1256297419170 1264198660800 1337960017920 1340050580448 1348478571520 1395886021300 1517038392960 1618174285824 1672450022400 1675063225560 1685598214400 1786734107264 1896297991200 2006940026880 2010075870672 2022717857280 2093829031950 2229933363200 2233417634080 2427261428736 2508675033600 2512594838340 2528397321600 2680101160896 2696957143040 2791772042600 3034076785920 3140743547925 3236348571648 3344900044800 3350126451120 3371196428800 3573468214528 3792595982400 4013880053760 4020151741344 4045435714560 4187658063900 4466835268160 4854522857472 5017350067200 5025189676680 5056794643200 5360202321792 5393914286080 5583544085200 6068153571840 6281487095850 6689800089600 6700252902240 6742392857600 7146936429056 7585191964800 8040303482688 8090871429120 8375316127800 8933670536320 9709045714944 10034700134400 10050379353360 10113589286400 10720404643584 11167088170400 12136307143680 12562974191700 13400505804480 13484785715200 14293872858112 15170383929600 16080606965376 16181742858240 16750632255600 17867341072640 20069400268800 20100758706720 20227178572800 21440809287168 22334176340800 24272614287360 25125948383400 26801011608960 26969571430400 28587745716224 30340767859200 32161213930752 33501264511200 35734682145280 40201517413440 40454357145600 42881618574336 44668352681600 48545228574720 50251896766800 53602023217920 57175491432448 60681535718400 64322427861504 67002529022400 71469364290560 80403034826880 80908714291200 85763237148672 89336705363200 100503793533600 107204046435840 121363071436800 128644855723008 134005058044800 142938728581120 160806069653760 171526474297344 178673410726400 201007587067200 214408092871680 242726142873600 257289711446016 268010116089600 285877457162240 321612139307520 357346821452800 402015174134400 428816185743360 514579422892032 536020232179200 643224278615040 714693642905600 804030348268800 857632371486720 1072040464358400 1286448557230080 1429387285811200 1608060696537600 2144080928716800 2572897114460160 3216121393075200 4288161857433600 6432242786150400 12864485572300800
• Sum of all divisors σ(n): 47020568537632248
• Sum of proper divisors (its aliquot sum) s(n): 34156082965331448
• 12864485572300800 is an abundant number, because the sum of its proper divisors (34156082965331448) is greater than itself. Its abundance is 21291597393030648

Bases of 12864485572300800

• Binary: 101101101101000010111001110100110000010101000000000000₂
• Hexadecimal: 0x2DB42E74C15000
• Base-36: 3IO2V32KN40

Squares and roots of 12864485572300800

• 12864485572300800 squared (12864485572300800²) is 165494989039935441704205680640000
• 12864485572300800 cubed (12864485572300800³) is 2129007898792328514318413651178344794816512000000
• The square root of 12864485572300800 is 113421715.6116975687
• The cube root of 12864485572300800 is 234313.5882125019

Scales and comparisons

• 12,864,485,572,300,800 seconds is equal to 409,050,848 years, 38 weeks, 16 hours.
• To count from 1 to 12,864,485,572,300,800 would take you about one billion, two hundred twenty-seven million, one hundred fifty-two thousand, five hundred forty-six 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 12864485572300800 cubic inches would be around 19526.1 feet tall.

Recreational maths with 12864485572300800

• 12864485572300800 backwards is 00800327558446821
• The number of decimal digits it has is: 17
• The sum of 12864485572300800's digits is 63
• More coming soon!