12991610968596000

Names of 12991610968596000

• Cardinal: 12991610968596000 can be written as Twelve quadrillion, nine hundred ninety-one trillion, six hundred ten billion, nine hundred sixty-eight million, five hundred ninety-six thousand.

Scientific notation

• Scientific notation: 1.2991610968596 × 10¹⁶

Factors of 12991610968596000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 8633

Divisors of 12991610968596000

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 29 30 32 36 39 40 45 48 50 52 58 60 65 72 75 78 80 87 90 96 100 104 116 117 120 125 130 144 145 150 156 160 169 174 180 195 200 208 225 232 234 240 250 260 261 288 290 300 312 325 338 348 360 375 377 390 400 416 435 450 464 468 480 500 507 520 522 580 585 600 624 650 676 696 720 725 750 754 780 800 845 870 900 928 936 975 1000 1014 1040 1044 1125 1131 1160 1170 1200 1248 1300 1305 1352 1392 1440 1450 1500 1508 1521 1560 1625 1690 1740 1800 1872 1885 1950 2000 2028 2080 2088 2175 2250 2262 2320 2340 2400 2535 2600 2610 2704 2784 2900 2925 3000 3016 3042 3120 3250 3380 3393 3480 3600 3625 3744 3770 3900 4000 4056 4176 4225 4350 4500 4524 4640 4680 4875 4901 5070 5200 5220 5408 5655 5800 5850 6000 6032 6084 6240 6500 6525 6760 6786 6960 7200 7250 7540 7605 7800 8112 8352 8450 8581 8700 9000 9048 9360 9425 9750 9802 10140 10400 10440 10875 11310 11600 11700 12000 12064 12168 12675 13000 13050 13520 13572 13920 14500 14625 14703 15080 15210 15600 16224 16900 16965 17162 17400 18000 18096 18720 18850 19500 19604 20280 20880 21125 21750 22620 23200 23400 24336 24505 25350 25743 26000 26100 27040 27144 28275 29000 29250 29406 30160 30420 31200 32625 33800 33930 34324 34800 36000 36192 37700 38025 39000 39208 40560 41760 42250 42905 43500 44109 45240 46800 47125 48672 49010 50700 51486 52000 52200 54288 56550 58000 58500 58812 60320 60840 63375 65250 67600 67860 68648 69600 73515 75400 76050 77229 78000 78416 81120 84500 84825 85810 87000 88218 90480 93600 94250 98020 101400 102972 104400 108576 111553 113100 116000 117000 117624 121680 122525 126750 128715 130500 135200 135720 137296 141375 147030 150800 152100 154458 156000 156832 169000 169650 171620 174000 176436 180960 188500 190125 196040 202800 205944 208800 214525 220545 223106 226200 234000 235248 243360 245050 248849 253500 257430 261000 271440 274592 282750 294060 301600 304200 308916 334659 338000 339300 343240 348000 352872 367575 377000 380250 386145 392080 405600 411888 424125 429050 441090 446212 452400 468000 470496 490100 497698 507000 514860 522000 542880 557765 565500 588120 608400 612625 617832 643575 669318 676000 678600 686480 705744 735150 746547 754000 760500 772290 784160 823776 848250 858100 882180 892424 904800 980200 995396 1003977 1014000 1029720 1044000 1072625 1102725 1115530 1131000 1176240 1216800 1225250 1235664 1244245 1287150 1338636 1357200 1372960 1411488 1450189 1470300 1493094 1508000 1521000 1544580 1673295 1696500 1716200 1764360 1784848 1837875 1930725 1960400 1990792 2007954 2028000 2059440 2145250 2205450 2231060 2239641 2262000 2352480 2450500 2471328 2488490 2574300 2677272 2714400 2788825 2900378 2940600 2986188 3042000 3089160 3217875 3235037 3346590 3393000 3432400 3528720 3569696 3675750 3732735 3861450 3920800 3981584 4015908 4118880 4290500 4350567 4410900 4462120 4479282 4524000 4901000 4976980 5019885 5148600 5354544 5513625 5577650 5800756 5881200 5972376 6084000 6178320 6221225 6435750 6470074 6693180 6786000 6864800 7057440 7250945 7351500 7465470 7722900 7963168 8031816 8366475 8581000 8701134 8821800 8924240 8958564 9653625 9705111 9802000 9953960 10039770 10297200 10709088 11027250 11155300 11198205 11601512 11762400 11944752 12356640 12442450 12871500 12940148 13051701 13386360 13572000 13944125 14501890 14703000 14930940 15445800 16063632 16175185 16732950 17162000 17402268 17643600 17848480 17917128 18663675 19307250 19410222 19604000 19907920 20079540 20594400 21752835 22054500 22310600 22396410 23203024 23889504 24884900 25099425 25743000 25880296 26103402 26772720 27888250 29003780 29115333 29406000 29861880 30891600 31106125 32127264 32350370 33465900 34324000 34804536 35287200 35834256 36254725 37327350 38614500 38820444 39815840 40159080 41832375 42055481 43505670 44109000 44621200 44792820 46406048 48525555 49769800 50198850 51486000 51760592 52206804 53545440 55776500 55991025 58007560 58230666 58812000 59723760 61783200 62212250 64700740 65258505 66931800 69609072 71668512 72509450 73633561 74654700 77229000 77640888 80318160 80875925 83664750 84110962 87011340 88218000 89242400 89585640 93318375 97051110 99539600 100397700 102972000 103521184 104413608 108764175 111553000 111982050 116015120 116461332 119447520 124424500 125497125 126166443 129401480 130517010 133863600 139218144 145018900 145576665 147267122 149309400 154458000 155281776 160636320 161751850 167329500 168221924 174022680 176436000 179171280 181273625 186636750 194102220 199079200 200795400 208827216 210277405 217528350 220900683 223106000 223964100 232030240 232922664 242627775 248849000 250994250 252332886 258802960 261034020 267727200 279955125 290037800 291153330 294534244 298618800 308916000 310563552 323503700 326292525 334659000 336443848 348045360 358342560 362547250 368167805 373273500 378499329 388204440 401590800 404379625 417654432 420554810 435056700 441801366 446212000 447928200 465845328 485255550 497698000 501988500 504665772 517605920 522068040 543820875 559910250 580075600 582306660 589068488 597237600 630832215 647007400 652585050 662702049 669318000 672887696 696090720 725094500 727883325 736335610 746547000 756998658 776408880 803181600 808759250 841109620 870113400 883602732 895856400 931690656 957236293 970511100 995396000 1003977000 1009331544 1044136080 1051387025 1087641750 1104503415 1119820500 1160151200 1164613320 1178136976 1213138875 1261664430 1294014800 1305170100 1325404098 1338636000 1345775392 1450189000 1455766650 1472671220 1493094000 1513997316 1552817760 1617518500 1631462625 1682219240 1740226800 1767205464 1791712800 1840839025 1892496645 1914472586 1941022200 2007954000 2018663088 2088272160 2102774050 2135373269 2175283500 2209006830 2239641000 2329226640 2356273952 2426277750 2523328860 2588029600 2610340200 2650808196 2871708879 2900378000 2911533300 2945342440 2986188000 3027994632 3154161075 3235037000 3262925250 3313510245 3364438480 3480453600 3534410928 3639416625 3681678050 3784993290 3828945172 3882044400 4015908000 4037326176 4205548100 4270746538 4350567000 4418013660 4479282000 4658453280 4786181465 4852555500 5046657720 5220680400 5256935125 5301616392 5522517075 5743417758 5800756000 5823066600 5890684880 6055989264 6308322150 6406119807 6470074000 6525850500 6627020490 6728876960 7068821856 7278833250 7363356100 7569986580 7657890344 7764088800 8411096200 8541493076 8615126637 8701134000 8836027320 8958564000 9204195125 9462483225 9572362930 9705111000 10093315440 10441360800 10513870250 10603232784 10676866345 11045034150 11486835516 11646133200 11781369760 12111978528 12444071809 12616644300 12812239614 12940148000 13051701000 13254040980 14358544395 14557666500 14726712200 15139973160 15315780688 15770805375 16567551225 16822192400 17082986152 17230253274 17402268000 17672054640 18408390250 18924966450 19144725860 19218359421 19410222000 20186630880 21027740500 21206465568 21353732690 22090068300 22973671032 23292266400 23930907325 24888143618 25233288600 25624479228 26103402000 26508081960 27612585375 27759852497 28717088790 29115333000 29453424400 30279946320 30631561376 31541610750 32030599035 33135102450 33644384800 34165972304 34460506548 35344109280 36816780500 37332215427 37849932900 38289451720 38436718842 38820444000 42055481000 42707465380 43075633185 44180136600 45947342064 47312416125 47861814650 49776287236 50466577200 51248958456 52206804000 53016163920 53384331725 55225170750 55519704994 57434177580 58230666000 58906848800 60559892640 62220359045 63083221500 64061198070 66270204900 68331944608 68921013096 71792721975 73633561000 74664430854 75699865800 76578903440 76873437684 82837756125 83279557491 84110962000 85414930760 86151266370 88360273200 91894684128 94624832250 95723629300 96091797105 99552574472 100933154400 102497916912 106032327840 106768663450 110450341500 111039409988 111996646281 114868355160 116461332000 119654536625 124440718090 126166443000 128122396140 132540409800 137842026192 138799262485 143585443950 147267122000 149328861708 151399731600 153157806880 153746875368 160152995175 165675512250 166559114982 168221924000 170829861520 172302532740 176720546400 186661077135 189249664500 191447258600 192183594210 199105148944 204995833824 213537326900 215378165925 220900683000 222078819976 223993292562 229736710320 239309073250 248881436180 249838672473 252332886000 256244792280 265080819600 266921658625 275684052384 277598524970 287170887900 294534244000 298657723416 302799463200 307493750736 311101795225 320305990350 331351024500 333118229964 341659723040 344605065480 358963609875 360878082461 373322154270 378499329000 382894517200 384367188420 398210297888 416397787455 427074653800 430756331850 441801366000 444157639952 447986585124 459473420640 478618146500 480458985525 497762872360 499677344946 504665772000 512489584560 530161639200 533843317250 555197049940 559983231405 574341775800 597315446832 614987501472 622203590450 640611980700 662702049000 666236459928 689210130960 693996312425 717927219750 721756164922 746644308540 756998658000 765789034400 768734376840 800764975875 832795574910 854149307600 861512663700 883602732000 888315279904 895973170248 933305385675 957236293000 960917971050 995525744720 999354689892 1024979169120 1067686634500 1076890829625 1082634247383 1110394099880 1119966462810 1148683551600 1194630893664 1244407180900 1249193362365 1281223961400 1325404098000 1332472919856 1378420261920 1387992624850 1435854439500 1443512329844 1493288617080 1513997316000 1537468753680 1555508976125 1601529951750 1665591149820 1708298615200 1723025327400 1791946340496 1804390412305 1866610771350 1914472586000 1921835942100 1991051489440 1998709379784 2081988937275 2135373269000 2153781659250 2165268494766 2220788199760 2239932925620 2297367103200 2402294927625 2488814361800 2498386724730 2562447922800 2650808196000 2664945839712 2775985249700 2799916157025 2871708879000 2887024659688 2986577234160 3074937507360 3111017952250 3203059903500 3247902742149 3331182299640 3446050654800 3469981562125 3583892680992 3608780824610 3733221542700 3828945172000 3843671884200 3997418759568 4163977874550 4270746538000 4307563318500 4330536989532 4441576399520 4479865851240 4666526928375 4804589855250 4977628723600 4996773449460 5124895845600 5413171236915 5551970499400 5599832314050 5743417758000 5774049319376 5973154468320 6222035904500 6245966811825 6406119807000 6495805484298 6662364599280 6892101309600 6939963124250 7217561649220 7466443085400 7687343768400 7994837519136 8327955749100 8541493076000 8615126637000 8661073979064 8959731702480 9021952061525 9333053856750 9609179710500 9955257447200 9993546898920 10409944686375 10826342473830 11103940998800 11199664628100 11486835516000 11548098638752 12444071809000 12491933623650 12812239614000 12991610968596 13324729198560 13879926248500 13999580785125 14435123298440 14932886170800 15374687536800 16239513710745 16655911498200 17230253274000 17322147958128 17919463404960 18043904123050 18666107713500 19218359421000 19987093797840 20819889372750 21652684947660 22207881997600 22399329256200 24888143618000 24983867247300 25624479228000 25983221937192 27065856184575 27759852497000 27999161570250 28870246596880 29865772341600 31229834059125 32479027421490 33311822996400 34460506548000 34644295916256 36087808246100 37332215427000 38436718842000 39974187595680 41639778745500 43305369895320 44798658512400 45109760307625 49776287236000 49967734494600 51966443874384 54131712369150 55519704994000 55998323140500 57740493193760 62459668118250 64958054842980 66623645992800 72175616492200 74664430854000 76873437684000 81197568553725 83279557491000 86610739790640 89597317024800 90219520615250 99935468989200 103932887748768 108263424738300 111039409988000 111996646281000 124919336236500 129916109685960 135329280922875 144351232984400 149328861708000 162395137107450 166559114982000 173221479581280 180439041230500 199870937978400 216526849476600 223993292562000 249838672473000 259832219371920 270658561845750 288702465968800 324790274214900 333118229964000 360878082461000 405987842768625 433053698953200 447986585124000 499677344946000 519664438743840 541317123691500 649580548429800 721756164922000 811975685537250 866107397906400 999354689892000 1082634247383000 1299161096859600 1443512329844000 1623951371074500 2165268494766000 2598322193719200 3247902742149000 4330536989532000 6495805484298000 12991610968596000
• Sum of all divisors σ(n): 51654393022803480
• Sum of proper divisors (its aliquot sum) s(n): 38662782054207480
• 12991610968596000 is an abundant number, because the sum of its proper divisors (38662782054207480) is greater than itself. Its abundance is 25671171085611480

Bases of 12991610968596000

• Binary: 101110001001111100110100100100110101111101111000100000₂
• Hexadecimal: 0x2E27CD24D7DE20
• Base-36: 3JX53OP8W80

Squares and roots of 12991610968596000

• 12991610968596000 squared (12991610968596000²) is 168781955559343897298211216000000
• 12991610968596000 cubed (12991610968596000³) is 2192749505145854796536675363355950972736000000000
• The square root of 12991610968596000 is 113980748.2366912697
• The cube root of 12991610968596000 is 235082.8798872993

Scales and comparisons

• 12,991,610,968,596,000 seconds is equal to 413,093,043 years, 5 weeks, 5 days, 2 hours.
• To count from 1 to 12,991,610,968,596,000 would take you about one billion, two hundred thirty-nine million, two hundred seventy-nine thousand, one hundred twenty-nine 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 12991610968596000 cubic inches would be around 19590.2 feet tall.

Recreational maths with 12991610968596000

• 12991610968596000 backwards is 00069586901619921
• 12991610968596000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12991610968596000's digits is 72
• More coming soon!