468676394358772684320

Names of 468676394358772684320

• Cardinal: 468676394358772684320 can be written as Four hundred sixty-eight quintillion, six hundred seventy-six quadrillion, three hundred ninety-four trillion, three hundred fifty-eight billion, seven hundred seventy-two million, six hundred eighty-four thousand, three hundred twenty.

Scientific notation

• Scientific notation: 4.6867639435877268432 × 10²⁰

Factors of 468676394358772684320

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 9725933848

Divisors of 468676394358772684320

• Number of divisors d(n): 240
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 3719657 7439314 11158971 14878628 18598285 22317942 29757256 33476913 37196570 44635884 55794855 59514512 66953826 74393140 89271768 100430739 111589710 119029024 133907652 148786280 167384565 178543536 200861478 223179420 267815304 297572560 301292217 334769130 357087072 401722956 446358840 502153695 535630608 595145120 602584434 669538260 803445912 892717680 1004307390 1071261216 1205168868 1339076520 1506461085 1606891824 1785435360 2008614780 2410337736 2678153040 3012922170 3213783648 4017229560 4820675472 5356306080 6025844340 8034459120 9641350944 9722214181 12051688680 16068918240 19444428362 24103377360 29166642543 38888856724 48206754720 48611070905 58333285086 77777713448 87499927629 97222141810 116666570172 145833212715 155555426896 174999855258 194444283620 233333140344 262499782887 291666425430 311110853792 349999710516 388888567240 437499638145 466666280688 524999565774 583332850860 699999421032 777777134480 787499348661 874999276290 933332561376 1049999131548 1166665701720 1312498914435 1399998842064 1555554268960 1574998697322 1749998552580 2099998263096 2333331403440 2624997828870 2799997684128 3149997394644 3499997105160 3937496743305 4199996526192 4666662806880 5249995657740 6299994789288 6999994210320 7874993486610 8399993052384 10499991315480 12599989578576 13999988420640 15749986973220 20999982630960 25199979157152 31499973946440 41999965261920 62999947892880 125999895785760 36163302033855917 72326604067711834 108489906101567751 144653208135423668 180816510169279585 216979812203135502 289306416270847336 325469718304703253 361633020338559170 433959624406271004 542449530507838755 578612832541694672 650939436609406506 723266040677118340 867919248812542008 976409154914109759 1084899061015677510 1157225665083389344 1301878873218813012 1446532081354236680 1627348591523516265 1735838497625084016 1952818309828219518 2169798122031355020 2603757746437626024 2893064162708473360 2929227464742329277 3254697183047032530 3471676995250168032 3905636619656439036 4339596244062710040 4882045774570548795 5207515492875252048 5786128325416946720 5858454929484658554 6509394366094065060 7811273239312878072 8679192488125420080 9764091549141097590 10415030985750504096 11716909858969317108 13018788732188130120 14646137323711646385 15622546478625756144 17358384976250840160 19528183098282195180 23433819717938634216 26037577464376260240 29292274647423292770 31245092957251512288 39056366196564390360 46867639435877268432 52075154928752520480 58584549294846585540 78112732393128780720 93735278871754536864 117169098589693171080 156225464786257561440 234338197179386342160 468676394358772684320
• Sum of all divisors σ(n): 1654037553269263859928
• Sum of proper divisors (its aliquot sum) s(n): 1185361158910491175608
• 468676394358772684320 is an abundant number, because the sum of its proper divisors (1185361158910491175608) is greater than itself. Its abundance is 716684764551718491288

Bases of 468676394358772684320

• Binary: 110010110100000110001000010011000001111101101100010010101011000100000₂
• Hexadecimal: 0x1968310983ED895620
• Base-36: 2QWS7G2DOS0200

Squares and roots of 468676394358772684320

• 468676394358772684320 squared (468676394358772684320²) is 219657562629139812034313723174178373862400
• 468676394358772684320 cubed (468676394358772684320³) is 102948314446661539801724967058119128586826850286705774317568000
• The square root of 468676394358772684320 is 21648935178.4047957207
• The cube root of 468676394358772684320 is 7767674.6483279009

Scales and comparisons

• 468,676,394,358,772,684,320 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 468,676,394,358,772,684,320 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 468676394358772684320 cubic inches would be around 647306.2 feet tall.

Recreational maths with 468676394358772684320

• 468676394358772684320 backwards is 023486277853493676864
• 468676394358772684320 is a Harshad number.
• The number of decimal digits it has is: 21
• The sum of 468676394358772684320's digits is 108
• More coming soon!