468962077163216000

Names of 468962077163216000

• Cardinal: 468962077163216000 can be written as Four hundred sixty-eight quadrillion, nine hundred sixty-two trillion, seventy-seven billion, one hundred sixty-three million, two hundred sixteen thousand.

Scientific notation

• Scientific notation: 4.68962077163216 × 10¹⁷

Factors of 468962077163216000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 46012762700

Divisors of 468962077163216000

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 64 65 70 80 91 98 100 104 112 125 128 130 140 160 175 182 196 200 208 224 245 250 260 280 320 325 350 364 392 400 416 448 455 490 500 520 560 637 640 650 700 728 784 800 832 875 896 910 980 1000 1040 1120 1225 1274 1300 1400 1456 1568 1600 1625 1664 1750 1820 1960 2000 2080 2240 2275 2450 2548 2600 2800 2912 3136 3185 3200 3250 3500 3640 3920 4000 4160 4480 4550 4900 5096 5200 5600 5824 6125 6272 6370 6500 7000 7280 7840 8000 8320 9100 9800 10192 10400 11200 11375 11648 12250 12740 13000 14000 14560 15680 15925 16000 18200 19600 20384 20800 22400 22750 24500 25480 26000 28000 29120 31360 31850 36400 39200 40768 41600 45500 49000 50960 52000 56000 58240 63700 72800 78400 79625 81536 91000 98000 101920 104000 112000 127400 145600 156800 159250 182000 196000 203840 208000 254800 291200 318500 364000 392000 407680 509600 637000 728000 784000 1019200 1274000 1456000 2038400 2548000 5096000 10192000 46012762673 92025525346 184051050692 230063813365 322089338711 368102101384 460127626730 598165914749 644178677422 736204202768 920255253460 1150319066825 1196331829498 1288357354844 1472408405536 1610446693555 1840510506920 2254625370977 2300638133650 2392663658996 2576714709688 2944816811072 2990829573745 3220893387110 3681021013840 4187161403243 4509250741954 4601276267300 4785327317992 5153429419376 5751595334125 5889633622144 5981659147490 6441786774220 7362042027680 8052233467775 8374322806486 9018501483908 9202552534600 9570654635984 10306858838752 11273126854885 11503190668250 11963318294980 12883573548440 14724084055360 14954147868725 16104466935550 16748645612972 18037002967816 18405105069200 19141309271968 20613717677504 20935807016215 22546253709770 23006381336500 23926636589960 25767147096880 29310129822701 29448168110720 29908295737450 32208933871100 33497291225944 36074005935632 36810210138400 38282618543936 40261167338875 41227435355008 41871614032430 45092507419540 46012762673000 47853273179920 51534294193760 56365634274425 58620259645402 59816591474900 64417867742200 66994582451888 72148011871264 73620420276800 74770739343625 76565237087872 80522334677750 83743228064860 90185014839080 92025525346000 95706546359840 103068588387520 104679035081075 112731268548850 117240519290804 119633182949800 128835735484400 133989164903776 144296023742528 146550649113505 147240840553600 149541478687250 161044669355500 167486456129720 180370029678160 184051050692000 191413092719680 206137176775040 209358070162150 225462537097700 234481038581608 239266365899600 257671470968800 267978329807552 281828171372125 288592047485056 293101298227010 299082957374500 322089338711000 334972912259440 360740059356320 368102101384000 382826185439360 418716140324300 450925074195400 468962077163216 478532731799200 515342941937600 523395175405375 535956659615104 563656342744250 586202596454020 598165914749000 644178677422000 669945824518880 721480118712640 732753245567525 736204202768000 837432280648600 901850148390800 937924154326432 957065463598400 1030685883875200 1046790350810750 1127312685488500 1172405192908040 1196331829498000 1288357354844000 1339891649037760 1442960237425280 1465506491135050 1674864561297200 1803700296781600 1875848308652864 1914130927196800 2093580701621500 2254625370977000 2344810385816080 2392663658996000 2576714709688000 2679783298075520 2931012982270100 3349729122594400 3607400593563200 3663766227837625 3751696617305728 4187161403243000 4509250741954000 4689620771632160 4785327317992000 5153429419376000 5862025964540200 6699458245188800 7214801187126400 7327532455675250 8374322806486000 9018501483908000 9379241543264320 9570654635984000 11724051929080400 13398916490377600 14655064911350500 16748645612972000 18037002967816000 18758483086528640 23448103858160800 29310129822701000 33497291225944000 36074005935632000 46896207716321600 58620259645402000 66994582451888000 93792415432643200 117240519290804000 234481038581608000 468962077163216000
• Sum of all divisors σ(n): 1460649383939032560
• Sum of proper divisors (its aliquot sum) s(n): 991687306775816560
• 468962077163216000 is an abundant number, because the sum of its proper divisors (991687306775816560) is greater than itself. Its abundance is 522725229612600560

Bases of 468962077163216000

• Binary: 11010000010000101101000011001000110011100010101110010000000₂
• Hexadecimal: 0x682168646715C80
• Base-36: 3K9L6K38YMWW

Squares and roots of 468962077163216000

• 468962077163216000 squared (468962077163216000²) is 219925429817238157745903462656000000
• 468962077163216000 cubed (468962077163216000³) is 103136686388105085813222869243305076072861696000000000
• The square root of 468962077163216000 is 684808058.6289971515
• The cube root of 468962077163216000 is 776925.2595907365

Scales and comparisons

• 468,962,077,163,216,000 seconds is equal to 14,911,543,458 years, 43 weeks, 5 days, 16 hours, 53 minutes, 20 seconds.
• To count from 1 to 468,962,077,163,216,000 would take you about forty-four billion, seven hundred thirty-four million, six hundred thirty thousand, three hundred seventy-six 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 468962077163216000 cubic inches would be around 64743.8 feet tall.

Recreational maths with 468962077163216000

• 468962077163216000 backwards is 000612361770269864
• The number of decimal digits it has is: 18
• The sum of 468962077163216000's digits is 68
• More coming soon!