54138209672512000

Names of 54138209672512000

• Cardinal: 54138209672512000 can be written as Fifty-four quadrillion, one hundred thirty-eight trillion, two hundred nine billion, six hundred seventy-two million, five hundred twelve thousand.

Scientific notation

• Scientific notation: 5.4138209672512 × 10¹⁶

Factors of 54138209672512000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 11426

Divisors of 54138209672512000

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 49 50 56 64 70 76 80 95 98 100 112 125 128 133 140 152 160 175 190 196 200 224 245 250 256 266 280 304 320 343 350 380 392 400 448 475 490 500 512 532 560 608 640 665 686 700 760 784 800 875 896 931 950 980 1000 1064 1120 1216 1225 1280 1330 1372 1400 1520 1568 1600 1715 1750 1792 1862 1900 1960 2000 2128 2240 2375 2432 2450 2560 2660 2744 2800 3040 3136 3200 3325 3430 3500 3584 3724 3800 3920 4000 4256 4480 4655 4750 4864 4900 5320 5488 5600 6080 6125 6272 6400 6517 6650 6860 7000 7448 7600 7840 8000 8512 8575 8960 9310 9500 9728 9800 10640 10976 11200 11393 12160 12250 12544 12800 13034 13300 13720 14000 14896 15200 15680 16000 16625 17024 17150 17920 18620 19000 19600 21280 21952 22400 22786 23275 24320 24500 25088 26068 26600 27440 28000 29792 30400 31360 32000 32585 33250 34048 34300 37240 38000 39200 42560 42875 43904 44800 45572 46550 48640 49000 52136 53200 54880 56000 56965 59584 60800 62720 64000 65170 66500 68096 68600 74480 76000 78400 79751 85120 85750 87808 89600 91144 93100 98000 104272 106400 109760 112000 113930 116375 119168 121600 125440 130340 133000 137200 148960 152000 156800 159502 162925 170240 171500 175616 182288 186200 196000 208544 212800 216467 219520 224000 227860 232750 238336 243200 260680 266000 274400 284825 297920 304000 313600 319004 325850 340480 343000 364576 372400 392000 398755 417088 425600 432934 439040 448000 455720 465500 476672 521360 532000 548800 558257 569650 595840 608000 627200 638008 651700 686000 729152 744800 784000 797510 814625 834176 851200 865868 878080 911440 931000 1042720 1064000 1082335 1097600 1116514 1139300 1191680 1216000 1276016 1303400 1372000 1424125 1458304 1489600 1515269 1568000 1595020 1629250 1668352 1702400 1731736 1822880 1862000 1993775 2085440 2128000 2164670 2195200 2233028 2278600 2383360 2552032 2606800 2744000 2791285 2848250 2916608 2979200 3030538 3136000 3190040 3258500 3336704 3463472 3645760 3724000 3907799 3987550 4170880 4256000 4329340 4390400 4466056 4557200 5104064 5213600 5411675 5488000 5582570 5696500 5833216 5958400 6061076 6380080 6517000 6926944 7291520 7448000 7576345 7815598 7975100 8341760 8512000 8658680 8932112 9114400 9968875 10208128 10427200 10606883 10823350 10976000 11165140 11393000 11916800 12122152 12760160 13034000 13853888 13956425 14583040 14896000 15152690 15631196 15950200 16683520 17317360 17864224 18228800 19538995 19937750 20416256 20854400 21213766 21646700 21952000 22330280 22786000 24244304 25520320 26068000 27058375 27707776 27912850 29166080 29792000 30305380 31262392 31900400 34634720 35728448 36457600 37881725 39077990 39875500 40832512 41708800 42427532 43293400 44660560 45572000 48488608 51040640 52136000 53034415 54116750 55415552 55825700 59584000 60610760 62524784 63800800 69269440 69782125 71456896 72915200 74248181 75763450 78155980 79751000 83417600 84855064 86586800 89321120 91144000 96977216 97694975 102081280 104272000 106068830 108233500 110831104 111651400 121221520 125049568 127601600 129800449 138538880 139564250 142913792 145830400 148496362 151526900 156311960 159502000 169710128 173173600 178642240 182288000 189408625 193954432 195389950 204162560 208544000 212137660 216467000 223302800 242443040 250099136 255203200 259600898 265172075 277077760 279128500 285827584 296992724 303053800 312623920 319004000 339420256 346347200 357284480 364576000 371240905 378817250 387908864 390779900 417088000 424275320 432934000 446605600 484886080 488474875 500198272 510406400 519201796 530344150 554155520 558257000 593985448 606107600 625247840 638008000 649002245 678840512 692694400 714568960 729152000 742481810 757634500 775817728 781559800 848550640 865868000 893211200 908603143 969772160 976949750 1000396544 1020812800 1038403592 1060688300 1116514000 1187970896 1212215200 1250495680 1276016000 1298004490 1325860375 1357681024 1385388800 1429137920 1484963620 1515269000 1563119600 1697101280 1731736000 1786422400 1817206286 1856204525 1939544320 1953899500 2000793088 2076807184 2121376600 2233028000 2375941792 2424430400 2466208531 2500991360 2552032000 2596008980 2651720750 2715362048 2770777600 2969927240 3030538000 3126239200 3245011225 3394202560 3463472000 3572844800 3634412572 3712409050 3879088640 3907799000 4153614368 4242753200 4466056000 4543015715 4751883584 4848860800 4932417062 5001982720 5104064000 5192017960 5303441500 5430724096 5939854480 6061076000 6252478400 6360222001 6490022450 6788405120 6926944000 7145689600 7268825144 7424818100 7815598000 8307228736 8485506400 8932112000 9086031430 9281022625 9503767168 9697721600 9864834124 10003965440 10384035920 10606883000 11879708960 12122152000 12331042655 12504956800 12720444002 12980044900 13576810240 13853888000 14537650288 14849636200 15631196000 16225056125 16614457472 16971012800 17263459717 17864224000 18172062860 18562045250 19007534336 19395443200 19729668248 20768071840 21213766000 22715078575 23759417920 24244304000 24662085310 25009913600 25440888004 25960089800 27153620480 29075300576 29699272400 31262392000 31801110005 32450112250 33228914944 33942025600 34526919434 35728448000 36344125720 37124090500 38015068672 39459336496 41536143680 42427532000 44521554007 45430157150 47518835840 48488608000 49324170620 50019827200 50881776008 51920179600 58150601152 59398544800 61655213275 62524784000 63602220010 64900224500 66457829888 67884051200 69053838868 72688251440 74248181000 78918672992 83072287360 84855064000 86317298585 89043108014 90860314300 95037671680 96977216000 98648341240 101763552016 103840359200 113575392875 116301202304 118797089600 120844218019 123310426550 125049568000 127204440020 129800449000 135768102400 138107677736 145376502880 148496362000 157837345984 159005550025 166144574720 169710128000 172634597170 178086216028 181720628600 190075343360 197296682480 203527104032 207680718400 222607770035 227150785750 232602404608 237594179200 241688436038 246620853100 250099136000 254408880040 259600898000 276215355472 290753005760 296992724000 308276066375 315674691968 318011100050 332289149440 339420256000 345269194340 356172432056 363441257200 394593364960 407054208064 415361436800 431586492925 445215540070 454301571500 465204809216 475188358400 483376872076 493241706200 508817760080 519201796000 552430710944 581506011520 593985448000 604221090095 616552132750 631349383936 636022200100 678840512000 690538388680 712344864112 726882514400 789186729920 795027750125 814108416128 830722873600 845909526133 863172985850 890431080140 908603143000 950376716800 966753744152 986483412400 1017635520160 1038403592000 1104861421888 1113038850175 1163012023040 1187970896000 1208442180190 1233104265500 1262698767872 1272044400200 1381076777360 1424689728224 1453765028800 1578373459840 1590055500250 1628216832256 1661445747200 1691819052266 1726345971700 1780862160280 1817206286000 1933507488304 1972966824800 2035271040320 2076807184000 2157932464625 2209722843776 2226077700350 2326024046080 2375941792000 2416884360380 2466208531000 2544088800400 2762153554720 2849379456448 2907530057600 3021105450475 3156746919680 3180111000500 3256433664512 3383638104532 3452691943400 3561724320560 3634412572000 3867014976608 3945933649600 4070542080640 4153614368000 4229547630665 4315864929250 4419445687552 4452155400700 4751883584000 4833768720760 4932417062000 5088177600800 5524307109440 5565194250875 5698758912896 5815060115200 6042210900950 6313493839360 6360222001000 6767276209064 6905383886800 7123448641120 7268825144000 7734029953216 7891867299200 8141084161280 8307228736000 8459095261330 8631729858500 8838891375104 8904310801400 9667537441520 9864834124000 10176355201600 11048614218880 11130388501750 11397517825792 11630120230400 12084421801900 12720444002000 13534552418128 13810767773600 14246897282240 14537650288000 15105527252375 15468059906432 15783734598400 16282168322560 16918190522660 17263459717000 17808621602800 19335074883040 19729668248000 20352710403200 21147738153325 22097228437760 22260777003500 22795035651584 24168843603800 25440888004000 27069104836256 27621535547200 28493794564480 29075300576000 30211054504750 30936119812864 31567469196800 33836381045320 34526919434000 35617243205600 38670149766080 39459336496000 40705420806400 42295476306650 44194456875520 44521554007000 48337687207600 50881776008000 54138209672512 55243071094400 56987589128960 58150601152000 60422109009500 61872239625728 67672762090640 69053838868000 71234486411200 77340299532160 78918672992000 81410841612800 84590952613300 89043108014000 96675374415200 101763552016000 105738690766625 108276419345024 110486142188800 113975178257920 120844218019000 135345524181280 138107677736000 142468972822400 154680599064320 157837345984000 169181905226600 178086216028000 193350748830400 203527104032000 211477381533250 216552838690048 220972284377600 241688436038000 270691048362560 276215355472000 284937945644800 309361198128640 338363810453200 356172432056000 386701497660800 407054208064000 422954763066500 433105677380096 483376872076000 541382096725120 552430710944000 569875891289600 676727620906400 712344864112000 773402995321600 845909526133000 966753744152000 1082764193450240 1104861421888000 1353455241812800 1424689728224000 1546805990643200 1691819052266000 1933507488304000 2165528386900480 2706910483625600 2849379456448000 3383638104532000 3867014976608000 5413820967251200 6767276209064000 7734029953216000 10827641934502400 13534552418128000 27069104836256000 54138209672512000
• Sum of all divisors σ(n): 165731299205472000
• Sum of proper divisors (its aliquot sum) s(n): 111593089532960000
• 54138209672512000 is an abundant number, because the sum of its proper divisors (111593089532960000) is greater than itself. Its abundance is 57454879860448000

Bases of 54138209672512000

• Binary: 11000000010101100110101000110100010011100100001000000000₂
• Hexadecimal: 0xC0566A344E4200
• Base-36: ET2E66FV1TS

Squares and roots of 54138209672512000

• 54138209672512000 squared (54138209672512000²) is 2930945746544871874288390144000000
• 54138209672512000 cubed (54138209672512000³) is 158676155365203487308831465810845928521728000000000
• The square root of 54138209672512000 is 232676190.6008261947
• The cube root of 54138209672512000 is 378298.5092748471

Scales and comparisons

• 54,138,209,672,512,000 seconds is equal to 1,721,427,607 years, 5 weeks, 4 days, 9 hours, 46 minutes, 40 seconds.
• To count from 1 to 54,138,209,672,512,000 would take you about five billion, one hundred sixty-four million, two hundred eighty-two thousand, eight hundred twenty-one 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 54138209672512000 cubic inches would be around 31524.9 feet tall.

Recreational maths with 54138209672512000

• 54138209672512000 backwards is 00021527690283145
• The number of decimal digits it has is: 17
• The sum of 54138209672512000's digits is 55
• More coming soon!