468109039727206080

Names of 468109039727206080

• Cardinal: 468109039727206080 can be written as Four hundred sixty-eight quadrillion, one hundred nine trillion, thirty-nine billion, seven hundred twenty-seven million, two hundred six thousand and eighty.

Scientific notation

• Scientific notation: 4.6810903972720608 × 10¹⁷

Factors of 468109039727206080

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1365864378323

Divisors of 468109039727206080

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 28 30 32 34 35 36 40 42 45 48 51 56 60 63 64 68 70 72 80 84 85 90 96 102 105 112 119 120 126 136 140 144 153 160 168 170 180 192 204 210 224 238 240 252 255 272 280 288 306 315 320 336 340 357 360 408 420 448 476 480 504 510 544 560 576 595 612 630 672 680 714 720 765 816 840 952 960 1008 1020 1071 1088 1120 1190 1224 1260 1344 1360 1428 1440 1530 1632 1680 1785 1904 2016 2040 2142 2240 2380 2448 2520 2720 2856 2880 3060 3264 3360 3570 3808 4032 4080 4284 4760 4896 5040 5355 5440 5712 6120 6720 7140 7616 8160 8568 9520 9792 10080 10710 11424 12240 14280 16320 17136 19040 20160 21420 22848 24480 28560 34272 38080 42840 48960 57120 68544 85680 114240 171360 342720 1365864378289 2731728756578 4097593134867 5463457513156 6829321891445 8195186269734 9561050648023 10926915026312 12292779404601 13658643782890 16390372539468 19122101296046 20487965674335 21853830052624 23219694430913 24585558809202 27317287565780 28683151944069 32780745078936 38244202592092 40975931348670 43707660105248 46439388861826 47805253240115 49171117618404 54634575131560 57366303888138 61463897023005 65561490157872 69659083292739 76488405184184 81951862697340 86049455832207 87415320210496 92878777723652 95610506480230 98342235236808 109269150263120 114732607776276 116098472154565 122927794046010 131122980315744 139318166585478 143415759720345 152976810368368 162537861016391 163903725394680 172098911664414 185757555447304 191221012960460 196684470473616 208977249878217 218538300526240 229465215552552 232196944309130 245855588092020 262245960631488 278636333170956 286831519440690 305953620736736 325075722032782 327807450789360 344197823328828 348295416463695 371515110894608 382442025920920 393368940947232 417954499756434 430247279161035 437076601052480 458930431105104 464393888618260 487613583049173 491711176184040 557272666341912 573663038881380 611907241473472 650151444065564 655614901578720 688395646657656 696590832927390 743030221789216 764884051841840 786737881894464 812689305081955 835908999512868 860494558322070 917860862210208 928787777236520 975227166098346 983422352368080 1044886249391085 1114545332683824 1147326077762760 1300302888131128 1311229803157440 1376791293315312 1393181665854780 1462840749147519 1486060443578432 1529768103683680 1625378610163910 1671817999025736 1720989116644140 1835721724420416 1857575554473040 1950454332196692 1966844704736160 2089772498782170 2229090665367648 2294652155525520 2438067915245865 2600605776262256 2753582586630624 2786363331709560 2925681498295038 3059536207367360 3250757220327820 3343635998051472 3441978233288280 3715151108946080 3900908664393384 3933689409472320 4179544997564340 4458181330735296 4589304311051040 4876135830491730 5201211552524512 5507165173261248 5572726663419120 5851362996590076 6501514440655640 6687271996102944 6883956466576560 7314203745737595 7430302217892160 7801817328786768 8359089995128680 9178608622102080 9752271660983460 10402423105049024 11145453326838240 11702725993180152 13003028881311280 13374543992205888 13767912933153120 14628407491475190 15603634657573536 16718179990257360 19504543321966920 22290906653676480 23405451986360304 26006057762622560 27535825866306240 29256814982950380 31207269315147072 33436359980514720 39009086643933840 46810903972720608 52012115525245120 58513629965900760 66872719961029440 78018173287867680 93621807945441216 117027259931801520 156036346575735360 234054519863603040 468109039727206080
• Sum of all divisors σ(n): 1948356364513066560
• Sum of proper divisors (its aliquot sum) s(n): 1480247324785860480
• 468109039727206080 is an abundant number, because the sum of its proper divisors (1480247324785860480) is greater than itself. Its abundance is 1012138285058654400

Bases of 468109039727206080

• Binary: 11001111111000011101011000100000101000101101101111011000000₂
• Hexadecimal: 0x67F0EB10516DEC0
• Base-36: 3K16T03OC340

Squares and roots of 468109039727206080

• 468109039727206080 squared (468109039727206080²) is 219126073074327000056342922788966400
• 468109039727206080 cubed (468109039727206080³) is 102574895646016800194302517790327177324396522995712000
• The square root of 468109039727206080 is 684184945.5572711445
• The cube root of 468109039727206080 is 776453.9005240409

Scales and comparisons

• 468,109,039,727,206,080 seconds is equal to 14,884,419,506 years, 51 weeks, 5 days, 8 hours, 48 minutes.
• To count from 1 to 468,109,039,727,206,080 would take you about forty-four billion, six hundred fifty-three million, two hundred fifty-eight thousand, five hundred twenty 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 468109039727206080 cubic inches would be around 64704.5 feet tall.

Recreational maths with 468109039727206080

• 468109039727206080 backwards is 080602727930901864
• 468109039727206080 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 468109039727206080's digits is 72
• More coming soon!