468375712290570240

Names of 468375712290570240

• Cardinal: 468375712290570240 can be written as Four hundred sixty-eight quadrillion, three hundred seventy-five trillion, seven hundred twelve billion, two hundred ninety million, five hundred seventy thousand, two hundred forty.

Scientific notation

• Scientific notation: 4.6837571229057024 × 10¹⁷

Factors of 468375712290570240

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 30
• Sum of prime factors: 480

Divisors of 468375712290570240

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 64 65 72 78 80 90 96 104 117 120 128 130 144 156 160 180 192 195 208 234 240 256 260 288 312 320 360 384 390 416 457 468 480 512 520 576 585 624 640 720 768 780 832 914 936 960 1024 1040 1152 1170 1248 1280 1371 1440 1536 1560 1664 1828 1872 1920 2048 2080 2285 2304 2340 2496 2560 2742 2880 3072 3120 3328 3656 3744 3840 4096 4113 4160 4570 4608 4680 4992 5120 5484 5760 5941 6144 6240 6656 6855 7312 7488 7680 8192 8226 8320 9140 9216 9360 9984 10240 10968 11520 11882 12288 12480 13312 13710 14624 14976 15360 16384 16452 16640 17823 18280 18432 18720 19968 20480 20565 21936 23040 23764 24576 24960 26624 27420 29248 29705 29952 30720 32768 32904 33280 35646 36560 36864 37440 39936 40960 41130 43872 46080 47528 49152 49920 53248 53469 54840 58496 59410 59904 61440 65536 65808 66560 71292 73120 73728 74880 79872 81920 82260 87744 89115 92160 95056 98304 99840 106496 106938 109680 116992 118820 119808 122880 131072 131616 133120 142584 146240 147456 149760 159744 163840 164520 175488 178230 184320 190112 196608 199680 208849 212992 213876 219360 233984 237640 239616 245760 262144 263232 266240 267345 285168 292480 294912 299520 319488 327680 329040 350976 356460 368640 380224 393216 399360 417698 425984 427752 438720 467968 475280 479232 491520 524288 526464 532480 534690 570336 584960 589824 599040 626547 638976 655360 658080 701952 712920 737280 760448 786432 798720 835396 851968 855504 877440 935936 950560 958464 983040 1044245 1048576 1052928 1064960 1069380 1140672 1169920 1179648 1198080 1253094 1277952 1310720 1316160 1403904 1425840 1474560 1520896 1572864 1597440 1670792 1703936 1711008 1754880 1871872 1879641 1901120 1916928 1966080 2088490 2097152 2105856 2129920 2138760 2281344 2339840 2359296 2396160 2506188 2555904 2621440 2632320 2715037 2807808 2851680 2949120 3041792 3132735 3145728 3194880 3341584 3407872 3422016 3509760 3743744 3759282 3802240 3833856 3932160 4176980 4194304 4211712 4259840 4277520 4562688 4679680 4718592 4792320 5012376 5111808 5242880 5264640 5430074 5615616 5703360 5898240 6083584 6265470 6291456 6389760 6683168 6815744 6844032 7019520 7487488 7518564 7604480 7667712 7864320 8145111 8353960 8388608 8423424 8519680 8555040 9125376 9359360 9398205 9437184 9584640 10024752 10223616 10485760 10529280 10860148 11231232 11406720 11796480 12167168 12530940 12582912 12779520 13366336 13575185 13631488 13688064 14039040 14974976 15037128 15208960 15335424 15728640 16290222 16707920 16846848 17039360 17110080 18250752 18718720 18796410 18874368 19169280 20049504 20447232 20971520 21058560 21720296 22462464 22813440 23592960 24334336 24435333 25061880 25165824 25559040 26732672 27150370 27262976 27376128 28078080 29949952 30074256 30417920 30670848 31457280 32580444 33415840 33693696 34078720 34220160 36501504 37437440 37592820 37748736 38338560 40099008 40725555 40894464 41943040 42117120 43440592 44924928 45626880 47185920 48668672 48870666 50123760 51118080 53465344 54300740 54525952 54752256 56156160 59899904 60148512 60835840 61341696 62914560 65160888 66831680 67387392 68157440 68440320 73003008 74874880 75185640 75497472 76677120 80198016 81451110 81788928 84234240 86881184 89849856 91253760 94371840 95443993 97337344 97741332 100247520 102236160 106930688 108601480 109051904 109504512 112312320 119799808 120297024 121671680 122176665 122683392 125829120 130321776 133663360 134774784 136314880 136880640 146006016 149749760 150371280 153354240 160396032 162902220 163577856 168468480 173762368 179699712 182507520 188743680 190887986 194674688 195482664 200495040 204472320 213861376 217202960 219009024 224624640 239599616 240594048 243343360 244353330 245366784 260643552 267326720 269549568 272629760 273761280 286331979 292012032 299499520 300742560 306708480 320792064 325804440 327155712 336936960 347524736 359399424 365015040 377487360 381775972 389349376 390965328 400990080 408944640 427722752 434405920 438018048 449249280 477219965 479199232 481188096 486686720 488706660 490733568 521287104 534653440 539099136 545259520 547522560 572663958 584024064 598999040 601485120 613416960 641584128 651608880 673873920 695049472 718798848 730030080 763551944 778698752 781930656 801980160 817889280 855445504 858995937 868811840 876036096 898498560 954439930 958398464 962376192 973373440 977413320 981467136 1042574208 1069306880 1078198272 1095045120 1145327916 1168048128 1197998080 1202970240 1226833920 1240771909 1283168256 1303217760 1347747840 1390098944 1431659895 1437597696 1460060160 1527103888 1557397504 1563861312 1603960320 1635778560 1710891008 1717991874 1737623680 1752072192 1796997120 1908879860 1916796928 1924752384 1946746880 1954826640 2085148416 2138613760 2156396544 2190090240 2290655832 2336096256 2395996160 2405940480 2453667840 2481543818 2566336512 2606435520 2695495680 2780197888 2863319790 2875195392 2920120320 3054207776 3114795008 3127722624 3207920640 3421782016 3435983748 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875976196096 879611839488 889663324160 893355774480 952912826112 977346488320 985473220608 1000871239680 1067595988992 1094970245120 1099514799360 1121326202880 1172815785984 1191141032640 1231841525760 1270550434816 1313964294144 1334494986240 1423461318656 1429369239168 1466019732480 1563754381312 1588188043520 1601393983488 1642455367680 1751952392192 1759223678976 1779326648320 1786711548960 1905825652224 1954692976640 1970946441216 2001742479360 2135191977984 2189940490240 2199029598720 2242652405760 2345631571968 2382282065280 2463683051520 2541100869632 2627928588288 2668989972480 2846922637312 2858738478336 2932039464960 3127508762624 3176376087040 3202787966976 3284910735360 3518447357952 3558653296640 3573423097920 3811651304448 3909385953280 3941892882432 4003484958720 4270383955968 4379880980480 4398059197440 4691263143936 4764564130560 4927366103040 5082201739264 5255857176576 5337979944960 5693845274624 5717476956672 5864078929920 6255017525248 6352752174080 6405575933952 6569821470720 7036894715904 7117306593280 7146846195840 7623302608896 7818771906560 7883785764864 8006969917440 8540767911936 8759761960960 8796118394880 9382526287872 9529128261120 9854732206080 10164403478528 10675959889920 11387690549248 11434953913344 11728157859840 12510035050496 12705504348160 12811151867904 13139642941440 14073789431808 14234613186560 14293692391680 15246605217792 15637543813120 15767571529728 16013939834880 17081535823872 17592236789760 18765052575744 19058256522240 19709464412160 20328806957056 21351919779840 22775381098496 22869907826688 23456315719680 25020070100992 25411008696320 25622303735808 26279285882880 28147578863616 28469226373120 28587384783360 30493210435584 31275087626240 32027879669760 34163071647744 35184473579520 37530105151488 38116513044480 39418928824320 40657613914112 42703839559680 45739815653376 46912631439360 50040140201984 50822017392640 51244607471616 56295157727232 56938452746240 57174769566720 60986420871168 62550175252480 64055759339520 68326143295488 70368947159040 75060210302976 76233026088960 78837857648640 81315227828224 85407679119360 91479631306752 93825262878720 100080280403968 101644034785280 102489214943232 112590315454464 113876905492480 114349539133440 121972841742336 125100350504960 128111518679040 140737894318080 150120420605952 152466052177920 162630455656448 170815358238720 182959262613504 187650525757440 200160560807936 203288069570560 204978429886464 225180630908928 228699078266880 243945683484672 250200701009920 256223037358080 281475788636160 300240841211904 304932104355840 325260911312896 341630716477440 365918525227008 375301051514880 400321121615872 406576139141120 450361261817856 457398156533760 487891366969344 500401402019840 512446074716160 562951577272320 600481682423808 609864208711680 650521822625792 731837050454016 750602103029760 800642243231744 813152278282240 900722523635712 914796313067520 975782733938688 1000802804039680 1024892149432320 1125903154544640 1200963364847616 1219728417423360 1301043645251584 1463674100908032 1501204206059520 1626304556564480 1801445047271424 1829592626135040 1951565467877376 2001605608079360 2251806309089280 2401926729695232 2439456834846720 2602087290503168 2927348201816064 3002408412119040 3252609113128960 3602890094542848 3659185252270080 3903130935754752 4003211216158720 4503612618178560 4878913669693440 5204174581006336 5854696403632128 6004816824238080 6505218226257920 7205780189085696 7318370504540160 7806261871509504 9007225236357120 9757827339386880 10408349162012672 11709392807264256 12009633648476160 13010436452515840 14636741009080320 15612523743019008 18014450472714240 19515654678773760 23418785614528512 26020872905031680 29273482018160640 31225047486038016 36028900945428480 39031309357547520 46837571229057024 52041745810063360 58546964036321280 78062618715095040 93675142458114048 117093928072642560 156125237430190080 234187856145285120 468375712290570240
• Sum of all divisors σ(n): 1752437209678974000
• Sum of proper divisors (its aliquot sum) s(n): 1284061497388403760
• 468375712290570240 is an abundant number, because the sum of its proper divisors (1284061497388403760) is greater than itself. Its abundance is 815685785097833520

Bases of 468375712290570240

• Binary: 11010000000000000010011101010010000100000000000000000000000₂
• Hexadecimal: 0x680013A90800000
• Base-36: 3K3TBZSBA4G0

Squares and roots of 468375712290570240

• 468375712290570240 squared (468375712290570240²) is 219375807863699030176452824373657600
• 468375712290570240 cubed (468375712290570240³) is 102750300267479313353754491736561971971142738509824000
• The square root of 468375712290570240 is 684379801.2000136755
• The cube root of 468375712290570240 is 776601.3160673667

Scales and comparisons

• 468,375,712,290,570,240 seconds is equal to 14,892,898,869 years, 33 weeks, 1 day, 6 hours, 24 minutes.
• To count from 1 to 468,375,712,290,570,240 would take you about forty-four billion, six hundred seventy-eight million, six hundred ninety-six thousand, six hundred 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 468375712290570240 cubic inches would be around 64716.8 feet tall.

Recreational maths with 468375712290570240

• 468375712290570240 backwards is 042075092217573864
• 468375712290570240 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 468375712290570240's digits is 72
• More coming soon!