42680946617424800

Names of 42680946617424800

• Cardinal: 42680946617424800 can be written as Forty-two quadrillion, six hundred eighty trillion, nine hundred forty-six billion, six hundred seventeen million, four hundred twenty-four thousand, eight hundred.

Scientific notation

• Scientific notation: 4.26809466174248 × 10¹⁶

Factors of 42680946617424800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 39364

Divisors of 42680946617424800

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 29 32 40 43 50 58 80 86 100 113 116 145 160 172 200 215 226 232 290 344 400 430 452 464 565 580 688 725 800 860 904 928 1075 1130 1160 1247 1376 1450 1720 1808 2150 2260 2320 2494 2825 2900 3277 3440 3616 4300 4520 4640 4859 4988 5650 5800 6235 6554 6880 8600 9040 9718 9976 11300 11600 12470 13108 16385 17200 17351 18080 19436 19952 21821 22600 23200 24295 24940 26216 31175 32770 34400 34702 38872 39904 43642 45200 48590 49880 52432 62350 65540 69404 77744 81925 86755 87284 90400 97180 99760 104864 109105 121475 124700 131080 138808 140911 155488 163850 173510 174568 194360 199520 218210 242950 249400 262160 277616 281822 327700 347020 349136 388720 433775 436420 485900 498800 503179 524320 545525 555232 563644 632809 655400 694040 698272 704555 746093 777440 867550 872840 938303 971800 997600 1006358 1091050 1127288 1265618 1310800 1388080 1409110 1492186 1735100 1745680 1876606 1943600 1960663 2012716 2182100 2254576 2465773 2515895 2531236 2621600 2776160 2818220 2984372 3164045 3470200 3491360 3522775 3730465 3753212 3887200 3921326 4025432 4364200 4509152 4691515 4931546 5031790 5062472 5636440 5968744 6328090 6940400 7045550 7460930 7506424 7842652 8050864 8728400 9383030 9803315 9863092 10063580 10124944 11272880 11937488 12328865 12579475 12656180 13880800 14091100 14921860 15012848 15685304 15820225 16101728 17456800 18652325 18766060 19606630 19726184 20127160 20249888 21636697 22545760 23457575 23874976 24657730 25158950 25312360 27210787 28182200 29843720 30025696 31370608 31640450 37304650 37532120 39213260 39452368 40254320 43273394 46915150 49016575 49315460 50317900 50624720 54421574 56364400 56859227 59687440 61644325 62741216 63280900 71507417 74609300 75064240 78426520 78904736 80508640 84308509 86546788 93830300 98033150 98630920 100635800 101249440 106028239 108183485 108843148 112728800 113718454 119374880 123288650 126561800 136053935 143014834 149218600 150128480 156853040 168617018 173093576 187660600 196066300 197261840 201271600 212056478 216366970 217686296 227436908 246577300 253123600 272107870 284296135 286029668 298437200 313706080 337234036 346187152 357537085 375321200 378616171 392132600 394523680 402543200 421542545 424112956 432733940 435372592 454873816 493154600 506247200 530141195 540917425 544215740 568592270 572059336 596874400 674468072 680269675 692374304 715074170 750642400 757232342 784265200 843085090 848225912 865467880 870745184 909747632 986309200 1060282390 1081834850 1088431480 1137184540 1144118672 1348936144 1360539350 1421480675 1430148340 1514464684 1568530400 1686170180 1696451824 1730935760 1787685425 1819495264 1893080855 1972618400 2107712725 2120564780 2163669700 2176862960 2274369080 2288237344 2444946761 2650705975 2697872288 2721078700 2842961350 2860296680 3028929368 3074818931 3372340360 3392903648 3461871520 3575370850 3786161710 4215425450 4241129560 4327339400 4353725920 4548738160 4889893522 5301411950 5442157400 5685922700 5720593360 6057858736 6149637862 6744680720 7150741700 7572323420 8430850900 8482259120 8654678800 9097476320 9465404275 9779787044 10602823900 10884314800 10979868959 11371845400 11441186720 12115717472 12224733805 12299275724 13489361440 14301483400 15144646840 15374094655 16280495353 16861701800 16964518240 17309357600 18930808550 19559574088 21205647800 21768629600 21959737918 22743690800 24449467610 24598551448 28602966800 30289293680 30748189310 32560990706 33723403600 37861617100 39119148176 42411295600 42783627323 43919475836 45487381600 48898935220 49197102896 54899344795 57205933600 60578587360 61123669025 61496378620 65121981412 67446807200 75723234200 76870473275 78238296352 81402476765 84822591200 85567254646 87838951672 97797870440 98394205792 109798689590 122247338050 122992757240 130243962824 151446468400 153740946550 162804953530 171134509292 175677903344 195595740880 213918136615 219597379180 244494676100 245985514480 260487925648 274496723975 302892936800 307481893100 325609907060 342269018584 351355806688 391191481760 407012383825 427836273230 439194758360 472134365237 488989352200 491971028960 520975851296 548993447950 614963786200 651219814120 684538037168 814024767650 855672546460 878389516720 944268730474 977978704400 1069590683075 1097986895900 1229927572400 1240725192367 1302439628240 1369076074336 1628049535300 1711345092920 1756779033440 1839695974889 1888537460948 1955957408800 2139181366150 2195973791800 2360671826185 2459855144800 2481450384734 2604879256480 3256099070600 3422690185840 3679391949778 3777074921896 4278362732300 4391947583600 4721343652370 4962900769468 6203625961835 6512198141200 6845380371680 7358783899556 7554149843792 8556725464600 8783895167200 9198479874445 9442687304740 9925801538936 11803359130925 12407251923670 13024396282400 14717567799112 15108299687584 17113450929200 18396959748890 18885374609480 19851603077872 23606718261850 24814503847340 29435135598224 31018129809175 34226901858400 36793919497780 37770749218960 39703206155744 45992399372225 47213436523700 49629007694680 53351183271781 58870271196448 62036259618350 73587838995560 75541498437920 91984798744450 94426873047400 99258015389360 106702366543562 124072519236700 147175677991120 183969597488900 188853746094800 198516030778720 213404733087124 248145038473400 266755916358905 294351355982240 367939194977800 377707492189600 426809466174248 496290076946800 533511832717810 735878389955600 853618932348496 992580153893600 1067023665435620 1333779581794525 1471756779911200 1707237864696992 2134047330871240 2667559163589050 4268094661742480 5335118327178100 8536189323484960 10670236654356200 21340473308712400 42680946617424800
• Sum of all divisors σ(n): 111282049690479360
• Sum of proper divisors (its aliquot sum) s(n): 68601103073054560
• 42680946617424800 is an abundant number, because the sum of its proper divisors (68601103073054560) is greater than itself. Its abundance is 25920156455629760

Bases of 42680946617424800

• Binary: 10010111101000100001100001000101110011110001101110100000₂
• Hexadecimal: 0x97A21845CF1BA0
• Base-36: BO94S6YMNQ8

Squares and roots of 42680946617424800

• 42680946617424800 squared (42680946617424800²) is 1821663204159465476934983655040000
• 42680946617424800 cubed (42680946617424800³) is 77750309971657160905443423095131764056340992000000
• The square root of 42680946617424800 is 206593675.1631685359
• The cube root of 42680946617424800 is 349471.1649400697

Scales and comparisons

• 42,680,946,617,424,800 seconds is equal to 1,357,122,081 years, 31 weeks, 16 hours, 13 minutes, 20 seconds.
• To count from 1 to 42,680,946,617,424,800 would take you about four billion, seventy-one million, three hundred sixty-six thousand, two hundred forty-four 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 42680946617424800 cubic inches would be around 29122.6 feet tall.

Recreational maths with 42680946617424800

• 42680946617424800 backwards is 00842471664908624
• The number of decimal digits it has is: 17
• The sum of 42680946617424800's digits is 71
• More coming soon!