468293220424320

Names of 468293220424320

• Cardinal: 468293220424320 can be written as Four hundred sixty-eight trillion, two hundred ninety-three billion, two hundred twenty million, four hundred twenty-four thousand, three hundred twenty.

Scientific notation

• Scientific notation: 4.6829322042432 × 10¹⁴

Factors of 468293220424320

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 4809864

Divisors of 468293220424320

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 30 32 34 38 40 48 51 57 60 64 68 76 80 85 95 96 102 114 120 128 136 152 157 160 170 190 192 204 228 240 255 272 285 304 314 320 323 340 380 384 408 456 471 480 510 544 570 608 628 640 646 680 760 785 816 912 942 960 969 1020 1088 1140 1216 1256 1292 1360 1520 1570 1615 1632 1824 1884 1920 1938 2040 2176 2280 2355 2432 2512 2584 2669 2720 2983 3040 3140 3230 3264 3648 3768 3876 4080 4560 4710 4845 5024 5168 5338 5440 5966 6080 6280 6460 6528 7296 7536 7752 8007 8160 8949 9120 9420 9690 10048 10336 10676 10880 11932 12160 12560 12920 13345 14915 15072 15504 16014 16320 17898 18240 18840 19380 20096 20672 21352 23864 25120 25840 26690 29830 30144 31008 32028 32640 35796 36480 37680 38760 40035 41344 42704 44745 47728 50240 50711 51680 53380 59660 60288 62016 64056 71592 75360 77520 80070 85408 89490 95456 100480 101422 103360 106760 119320 124032 128112 143184 150720 152133 155040 160140 170816 178980 190912 202844 206720 213520 238640 253555 256224 286368 301440 304266 310080 320280 341632 357960 381824 405688 427040 477280 507110 512448 572736 608532 620160 640560 715920 760665 811376 854080 954560 1014220 1024896 1145472 1217064 1281120 1431840 1521330 1622752 1708160 1909120 2028440 2434128 2562240 2863680 3042660 3245504 4056880 4809661 4868256 5124480 5727360 6085320 6491008 8113760 9619322 9736512 12170640 14428983 16227520 19238644 19473024 24048305 24341280 28857966 32455040 38477288 48096610 48682560 57715932 72144915 76954576 81764237 91383559 96193220 97365120 115431864 144289830 153909152 163528474 182767118 192386440 230863728 245292711 274150677 288579660 307818304 327056948 365534236 384772880 408821185 456917795 461727456 490585422 548301354 577159320 615636608 654113896 731068472 755116777 769545760 817642370 913835590 923454912 981170844 1096602708 1154318640 1226463555 1308227792 1370753385 1462136944 1510233554 1539091520 1553520503 1635284740 1827671180 1846909824 1962341688 2193205416 2265350331 2308637280 2452927110 2616455584 2741506770 2924273888 3020467108 3078183040 3107041006 3270569480 3655342360 3775583885 3924683376 4386410832 4530700662 4617274560 4660561509 4905854220 5232911168 5483013540 5848547776 6040934216 6214082012 6541138960 7310684720 7551167770 7767602515 7849366752 8772821664 9061401324 9234549120 9321123018 9811708440 10465822336 10966027080 11326751655 11697095552 12081868432 12428164024 12836985209 13082277920 14347218763 14621369440 15102335540 15535205030 15698733504 17545643328 18122802648 18642246036 19623416880 21932054160 22653503310 23302807545 24163736864 24856328048 25673970418 26164555840 28694437526 29242738880 30204671080 31070410060 31397467008 35091286656 36245605296 37284492072 38510955627 39246833760 43041656289 43864108320 45307006620 46605615090 48327473728 49712656096 51347940836 52329111680 57388875052 58485477760 60409342160 62140820120 64184926045 71736093815 72491210592 74568984144 77021911254 78493667520 86083312578 87728216640 90614013240 93211230180 96654947456 99425312192 102695881672 114777750104 120818684320 124281640240 128369852090 143472187630 144982421184 149137968288 154043822508 156987335040 172166625156 175456433280 181228026480 186422460360 192554778135 198850624384 205391763344 215208281445 229555500208 241637368640 243902718971 248563280480 256739704180 286944375260 289964842368 298275936576 308087645016 344333250312 362456052960 372844920720 385109556270 410783526688 430416562890 459111000416 483274737280 487805437942 497126560960 513479408360 573888750520 596551873152 616175290032 688666500624 724912105920 731708156913 745689841440 770219112540 821567053376 860833125780 918222000832 975610875884 994253121920 1026958816720 1147777501040 1219513594855 1232350580064 1377333001248 1449824211840 1463416313826 1491379682880 1540438225080 1643134106752 1721666251560 1836444001664 1951221751768 2053917633440 2295555002080 2439027189710 2464701160128 2754666002496 2926832627652 2982759365760 3080876450160 3443332503120 3658540784565 3902443503536 4107835266880 4591110004160 4878054379420 4929402320256 5509332004992 5853665255304 6161752900320 6886665006240 7317081569130 7804887007072 8215670533760 9182220008320 9756108758840 11707330510608 12323505800640 13773330012480 14634163138260 15609774014144 19512217517680 23414661021216 24647011601280 27546660024960 29268326276520 31219548028288 39024435035360 46829322042432 58536652553040 78048870070720 93658644084864 117073305106080 156097740141440 234146610212160 468293220424320
• Sum of all divisors σ(n): 1674270276307200
• Sum of proper divisors (its aliquot sum) s(n): 1205977055882880
• 468293220424320 is an abundant number, because the sum of its proper divisors (1205977055882880) is greater than itself. Its abundance is 737683835458560

Bases of 468293220424320

• Binary: 1101010011110100100000011000011011101101010000000₂
• Hexadecimal: 0x1A9E9030DDA80
• Base-36: 4LZUXOGUIO

Squares and roots of 468293220424320

• 468293220424320 squared (468293220424320²) is 219298540295380758400847462400
• 468293220424320 cubed (468293220424320³) is 102696019669276363095710872300772523245568000
• The square root of 468293220424320 is 21640083.6510471929
• The cube root of 468293220424320 is 77655.5720867049

Scales and comparisons

• 468,293,220,424,320 seconds is equal to 14,890,275 years, 45 weeks, 6 days, 13 hours, 52 minutes.
• To count from 1 to 468,293,220,424,320 would take you about thirty-seven million, two hundred twenty-five thousand, six hundred eighty-nine 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 468293220424320 cubic inches would be around 6471.3 feet tall.

Recreational maths with 468293220424320

• 468293220424320 backwards is 023424022392864
• 468293220424320 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 468293220424320's digits is 51
• More coming soon!