12738881347992800

Names of 12738881347992800

• Cardinal: 12738881347992800 can be written as Twelve quadrillion, seven hundred thirty-eight trillion, eight hundred eighty-one billion, three hundred forty-seven million, nine hundred ninety-two thousand, eight hundred.

Scientific notation

• Scientific notation: 1.27388813479928 × 10¹⁶

Factors of 12738881347992800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 141062

Divisors of 12738881347992800

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 40 44 49 50 52 55 56 65 70 77 80 88 91 98 100 104 110 112 127 130 140 143 154 160 175 176 182 196 200 208 220 224 245 254 260 275 280 286 308 325 350 352 364 385 392 400 416 440 455 490 508 520 539 550 560 572 616 635 637 650 700 715 728 770 784 800 880 889 910 980 1001 1016 1040 1078 1100 1120 1144 1225 1232 1270 1274 1300 1397 1400 1430 1456 1540 1568 1651 1760 1778 1820 1925 1960 2002 2032 2080 2156 2200 2275 2288 2450 2464 2540 2548 2600 2695 2794 2800 2860 2912 3080 3175 3185 3302 3556 3575 3640 3850 3920 4004 4064 4312 4400 4445 4550 4576 4900 5005 5080 5096 5200 5390 5588 5600 5720 6160 6223 6350 6370 6604 6985 7007 7112 7150 7280 7700 7840 8008 8255 8624 8800 8890 9100 9779 9800 10010 10160 10192 10400 10780 11176 11440 11557 12320 12446 12700 12740 13208 13475 13970 14014 14224 14300 14560 15400 15925 16016 16129 16510 17248 17780 18161 18200 19558 19600 20020 20320 20384 21560 22225 22352 22880 23114 24892 25025 25400 25480 26416 26950 27940 28028 28448 28600 30800 31115 31850 32032 32258 33020 34925 35035 35560 36322 36400 39116 39200 40040 41275 43120 44450 44704 46228 48895 49784 50050 50800 50960 52832 53900 55880 56056 57200 57785 61600 62230 63700 64516 66040 68453 69850 70070 71120 72644 72800 78232 80080 80645 80899 82550 86240 88900 90805 92456 97790 99568 100100 101600 101920 107800 111760 112112 112903 114400 115570 124460 127127 127400 129032 132080 136906 139700 140140 140897 142240 145288 155575 156464 160160 161290 161798 165100 175175 177419 177800 181610 184912 195580 199136 200200 209677 215600 223520 224224 225806 231140 244475 248920 254254 254800 258064 264160 273812 279400 280280 281794 288925 290576 311150 312928 322580 323596 330200 342265 350350 354838 355600 363220 369824 391160 400400 403225 404495 419354 431200 451612 454025 462280 488950 497840 508508 509600 516128 547624 558800 560560 563588 564515 577850 581152 622300 635635 645160 647192 660400 684530 700700 704485 709676 711200 726440 782320 790321 800800 806450 808990 838708 887095 889889 903224 908050 924560 977900 986279 995680 1017016 1048385 1095248 1117600 1121120 1127176 1129030 1155700 1241933 1244600 1271270 1290320 1294384 1320800 1369060 1401400 1408970 1419352 1452880 1467739 1549867 1564640 1580642 1612900 1617980 1677416 1711325 1774190 1779778 1806448 1816100 1831661 1849120 1955800 1972558 2022475 2034032 2096770 2190496 2254352 2258060 2306447 2311400 2483866 2489200 2542540 2580640 2588768 2738120 2802800 2817940 2822575 2838704 2905760 2935478 3099734 3161284 3178175 3225800 3235960 3354832 3422650 3522425 3548380 3559556 3612896 3632200 3663322 3911600 3945116 3951605 4044950 4068064 4193540 4435475 4449445 4508704 4516120 4612894 4622800 4931395 4967732 4978400 5085080 5241925 5476240 5605600 5635880 5645150 5677408 5870956 6199468 6209665 6322568 6356350 6451600 6471920 6709664 6845300 6903953 7044850 7096760 7119112 7264400 7326644 7338695 7749335 7823200 7890232 7903210 8089900 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9090110852 9304837880 9644822341 9841655450 9872652790 10020594640 10235321668 10257301600 11022654104 11283031760 11301590300 11362638565 11398426403 11631047350 12150957280 12525743300 12794152085 12916103200 13026773032 13778317630 14028832496 14103789700 14315135200 14360222240 15188696600 15746648720 15796244464 15907693991 16118616800 16283466290 17536040620 17911812919 17950277800 18082544480 18180221704 18609675760 19289644682 19683310900 19745305580 20041189280 20470643336 21920050775 22045308208 22566063520 22603180600 22725277130 22796852806 23262094700 24681631975 24997804843 25051486600 25588304170 26053546064 27556635260 28057664992 28207579400 29542860269 30377393200 31493297440 31592488928 31815387982 32566932580 34445794075 35072081240 35823625838 35900555600 36360443408 37219351520 38579289364 39366621800 39490611160 40708665725 40941286672 43840101550 44090616416 45206361200 45450554260 45593705612 46524189400 48224111705 49363263950 49995609686 50102973200 51176608340 52107092128 55113270520 56415158800 56813192825 56992132015 59085720538 60754786400 63630775964 63970760425 65133865160 68891588150 70144162480 71647251676 71801111200 72720886816 77158578728 78733243600 78981222320 79538469955 81417331450 81882573344 87680203100 89559064595 90412722400 90901108520 91187411224 93048378800 96448223410 98726527900 99991219372 100205946400 102353216680 110226541040 111353857937 112830317600 113626385650 113984264030 118171441076 124989024215 125382690433 127261551928 127941520850 130267730320 137783176300 140288324960 143294503352 147714301345 154317157456 157466487200 157962444640 159076939910 162834662900 174984633901 175360406200 179118129190 181802217040 182374822448 186096757600 192896446820 197453055800 199982438744 204706433360 206800021883 220453082080 222707715874 227252771300 227968528060 236342882152 241120558525 249978048430 250765380866 254523103856 255883041700 260535460640 275566352600 284960660075 286589006704 295428602690 308634314912 318153879820 324971462959 325669325800 349969267802 350720812400 358236258380 363604434080 364749644896 385792893640 394906111600 397692349775 399964877488 409412866720 413600043766 445415431748 447795322975 454505542600 455937056120 472685764304 482241117050 499956096860 501530761732 509046207712 511766083400 551132705200 556769289685 569921320150 573178013408 590857205380 624945121075 626913452165 636307759640 649942925918 651338651600 699938535604 701441624800 716472516760 738571506725 771585787280 789812223200 795384699550 799929754976 827200087532 874923169505 890830863496 895590645950 909011085200 911874112240 945371528608 964482234100 999912193720 1003061523464 1023532166800 1034000109415 1102265410400 1113538579370 1139842640300 1181714410760 1224892437307 1249890242150 1253826904330 1272615519280 1299885851836 1302677303200 1399877071208 1432945033520 1447600153181 1477143013450 1543171574560 1590769399100 1624857314795 1654400175064 1749846339010 1781661726992 1791181291900 1818022170400 1823748224480 1928964468200 1999824387440 2006123046928 2047064333600 2068000218830 2227077158740 2274800240713 2279685280600 2363428821520 2449784874614 2499780484300 2507653808660 2545231038560 2599771703672 2783846448425 2799754142416 2865890067040 2895200306362 2954286026900 3134567260825 3181538798200 3249714629590 3308800350128 3499692678020 3563323453984 3582362583800 3857928936400 3999648774880 4012246093856 4136000437660 4374615847525 4454154317480 4549600481426 4559370561200 4726857643040 4899569749228 4999560968600 5015307617320 5170000547075 5199543407344 5567692896850 5599508284832 5790400612724 5908572053800 6124462186535 6269134521650 6363077596400 6499429259180 6617600700256 6999385356040 7164725167600 7238000765905 7715857872800 8124286573975 8272000875320 8749231695050 8908308634960 9099200962852 9118741122400 9799139498456 9999121937200 10030615234640 10340001094150 10399086814688 11135385793700 11374001203565 11580801225448 11817144107600 12248924373070 12538269043300 12726155192800 12998858518360 13998770712080 14329450335200 14476001531810 15923601684991 16248573147950 16544001750640 17498463390100 17816617269920 18198401925704 19598278996912 19998243874400 20061230469280 20680002188300 22270771587400 22748002407130 23161602450896 23634288215200 24497848746140 25076538086600 25997717036720 27997541424160 28952003063620 30622310932675 31847203369982 32497146295900 33088003501280 34996926780200 36190003829525 36396803851408 39196557993824 41360004376600 44541543174800 45496004814260 46323204901792 48995697492280 50153076173200 51995434073440 56870006017825 57904006127240 61244621865350 63694406739964 64994292591800 69993853560400 72380007659050 72793607702816 79618008424955 82720008753200 89083086349600 90992009628520 97991394984560 100306152346400 113740012035650 115808012254480 122489243730700 127388813479928 129988585183600 139987707120800 144760015318100 159236016849910 165440017506400 181984019257040 195982789969120 227480024071300 231616024508960 244978487461400 254777626959856 259977170367200 289520030636200 318472033699820 363968038514080 398090042124775 454960048142600 489956974922800 509555253919712 579040061272400 636944067399640 796180084249550 909920096285200 979913949845600 1158080122544800 1273888134799280 1592360168499100 1819840192570400 2547776269598560 3184720336998200 6369440673996400 12738881347992800
• Sum of all divisors σ(n): 42838239534099408
• Sum of proper divisors (its aliquot sum) s(n): 30099358186106608
• 12738881347992800 is an abundant number, because the sum of its proper divisors (30099358186106608) is greater than itself. Its abundance is 17360476838113808

Bases of 12738881347992800

• Binary: 101101010000011111000111110001100101010011110011100000₂
• Hexadecimal: 0x2D41F1F1953CE0
• Base-36: 3HFK1AUFBA8

Squares and roots of 12738881347992800

• 12738881347992800 squared (12738881347992800²) is 162279097998238857212588851840000
• 12738881347992800 cubed (12738881347992800³) is 2067254174658860705488696075725380840586752000000
• The square root of 12738881347992800 is 112866652.9493667585
• The cube root of 12738881347992800 is 233548.5081752373

Scales and comparisons

• 12,738,881,347,992,800 seconds is equal to 405,057,022 years, 47 weeks, 5 days, 12 hours, 13 minutes, 20 seconds.
• To count from 1 to 12,738,881,347,992,800 would take you about one billion, two hundred fifteen million, one hundred seventy-one thousand and sixty-eight 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 12738881347992800 cubic inches would be around 19462.4 feet tall.

Recreational maths with 12738881347992800

• 12738881347992800 backwards is 00829974318883721
• 12738881347992800 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12738881347992800's digits is 80
• More coming soon!