46068734977067896749000
46,068,734,977,067,896,749,000 is an even composite number composed of six prime numbers multiplied together.
46068734977067896749000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 46068734977067896749000:
23 × 34 × 53 × 673 × 11177 × 75610298549
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 673 × 11177 × 75610298549)See below for interesting mathematical facts about the number 46068734977067896749000 from the Numbermatics database.
Names of 46068734977067896749000
- Cardinal: 46068734977067896749000 can be written as Forty-six sextillion, sixty-eight quintillion, seven hundred thirty-four quadrillion, nine hundred seventy-seven trillion, sixty-seven billion, eight hundred ninety-six million, seven hundred forty-nine thousand.
Scientific notation
- Scientific notation: 4.6068734977067896749 × 1022
Factors of 46068734977067896749000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 75610310409
Divisors of 46068734977067896749000
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 125 135 150 162 180 200 216 225 250 270 300 324 360 375 405 450 500 540 600 648 673 675 750 810 900 1000 1080 1125 1346 1350 1500 1620 1800 2019 2025 2250 2692 2700 3000 3240 3365 3375 4038 4050 4500 5384 5400 6057 6730 6750 8076 8100 9000 10095 10125 11177 12114 13460 13500 16152 16200 16825 18171 20190 20250 22354 24228 26920 27000 30285 33531 33650 36342 40380 40500 44708 48456 50475 54513 55885 60570 67062 67300 72684 80760 81000 84125 89416 90855 100593 100950 109026 111770 121140 134124 134600 145368 151425 167655 168250 181710 201186 201900 218052 223540 242280 252375 268248 272565 279425 301779 302850 335310 336500 363420 402372 403800 436104 447080 454275 502965 504750 545130 558850 603558 605700 670620 673000 726840 757125 804744 838275 905337 908550 1005930 1009500 1090260 1117700 1207116 1211400 1341240 1362825 1397125 1508895 1514250 1676550 1810674 1817100 2011860 2019000 2180520 2235400 2271375 2414232 2514825 2725650 2794250 3017790 3028500 3353100 3621348 3634200 4023720 4191375 4526685 4542750 5029650 5451300 5588500 6035580 6057000 6706200 6814125 7242696 7522121 7544475 8382750 9053370 9085500 10059300 10902600 11177000 12071160 12574125 13628250 15044242 15088950 16765500 18106740 18171000 20118600 22566363 22633425 25148250 27256500 30088484 30177900 33531000 36213480 37610605 37722375 45132726 45266850 50296500 54513000 60176968 60355800 67699089 75221210 75444750 90265452 90533700 100593000 112831815 113167125 135398178 150442420 150889500 180530904 181067400 188053025 203097267 225663630 226334250 270796356 300884840 301779000 338495445 376106050 406194534 451327260 452668500 541592712 564159075 609291801 676990890 752212100 812389068 902654520 905337000 940265125 1015486335 1128318150 1218583602 1353981780 1504424200 1624778136 1692477225 1880530250 2030972670 2256636300 2437167204 2707963560 2820795375 3046459005 3384954450 3761060500 4061945340 4513272600 4874334408 5077431675 5641590750 6092918010 6769908900 7522121000 8123890680 8462386125 10154863350 11283181500 12185836020 13539817800 15232295025 16924772250 20309726700 22566363000 24371672040 25387158375 30464590050 33849544500 40619453400 50774316750 60929180100 67699089000 75610298549 76161475125 101548633500 121858360200 151220597098 152322950250 203097267000 226830895647 302441194196 304645900500 378051492745 453661791294 604882388392 609291801000 680492686941 756102985490 907323582588 1134154478235 1360985373882 1512205970980 1814647165176 1890257463725 2041478060823 2268308956470 2721970747764 3024411941960 3402463434705 3780514927450 4082956121646 4536617912940 5443941495528 5670772391175 6124434182469 6804926869410 7561029854900 8165912243292 9073235825880 9451287318625 10207390304115 11341544782350 12248868364938 13609853738820 15122059709800 16331824486584 17012317173525 18902574637250 20414780608230 22683089564700 24497736729876 27219707477640 28353861955875 30622170912345 34024634347050 37805149274500 40829561216460 45366179129400 48995473459752 50885730923477 51036951520575 56707723911750 61244341824690 68049268694100 75610298549000 81659122432920 85061585867625 101771461846954 102073903041150 113415447823500 122488683649380 136098537388200 152657192770431 153110854561725 170123171735250 203542923693908 204147806082300 226830895647000 244977367298760 254428654617385 255184757602875 305314385540862 306221709123450 340246343470500 407085847387816 408295612164600 457971578311293 508857309234770 510369515205750 610628771081724 612443418246900 680492686941000 763285963852155 765554272808625 845096306882173 915943156622586 1017714618469540 1020739030411500 1221257542163448 1224886836493800 1272143273086925 1373914734933879 1526571927704310 1531108545617250 1690192613764346 1831886313245172 2035429236939080 2041478060823000 2289857891556465 2535288920646519 2544286546173850 2747829469867758 3053143855408620 3062217091234500 3380385227528692 3663772626490344 3816429819260775 4121744204801637 4225481534410865 4579715783112930 5070577841293038 5088573092347700 5495658939735516 6106287710817240 6124434182469000 6360716365434625 6760770455057384 6869573674669395 7605866761939557 7632859638521550 8243488409603274 8450963068821730 9159431566225860 10141155682586076 10177146184695400 10991317879471032 11449289457782325 12676444603232595 12721432730869250 13739147349338790 15211733523879114 15265719277043100 16486976819206548 16901926137643460 18318863132451720 19082149096303875 20282311365172152 20608721024008185 21127407672054325 22817600285818671 22898578915564650 25352889206465190 25442865461738500 27478294698677580 30423467047758228 30531438554086200 32973953638413096 33803852275286920 34347868373346975 38029333809697785 38164298192607750 41217442048016370 42254815344108650 45635200571637342 45797157831129300 50705778412930380 50885730923477000 54956589397355160 57246447288911625 60846934095516456 63382223016162975 68452800857456013 68695736746693950 76058667619395570 76328596385215500 82434884096032740 84509630688217300 91270401143274684 91594315662258600 101411556825860760 103043605120040925 105637038360271625 114088001429093355 114492894577823250 126764446032325950 136905601714912026 137391473493387900 152117335238791140 152657192770431000 164869768192065480 169019261376434600 171739341866734875 182540802286549368 190146669048488925 206087210240081850 211274076720543250 228176002858186710 228985789155646500 253528892064651900 273811203429824052 274782946986775800 304234670477582280 316911115080814875 342264004287280065 343478683733469750 380293338096977850 412174420480163700 422548153441086500 456352005716373420 457971578311293000 507057784129303800 515218025600204625 547622406859648104 568749814531702429 570440007145466775 633822230161629750 684528008574560130 686957367466939500 760586676193955700 824348840960327400 845096306882173000 912704011432746840 950733345242444625 1030436051200409250 1137499629063404858 1140880014290933550 1267644460323259500 1369056017149120260 1373914734933879000 1521173352387911400 1706249443595107287 1711320021436400325 1901466690484889250 2060872102400818500 2274999258126809716 2281760028581867100 2535288920646519000 2738112034298240520 2843749072658512145 2852200035727333875 3412498887190214574 3422640042872800650 3802933380969778500 4121744204801637000 4549998516253619432 4563520057163734200 5118748330785321861 5687498145317024290 5704400071454667750 6824997774380429148 6845280085745601300 7605866761939557000 8531247217975536435 8556600107182001625 10237496661570643722 11374996290634048580 11408800142909335500 13649995548760858296 13690560171491202600 14218745363292560725 15356244992355965583 17062494435951072870 17113200214364003250 20474993323141287444 22749992581268097160 22817600285818671000 25593741653926609305 28437490726585121450 30712489984711931166 34124988871902145740 34226400428728006500 40949986646282574888 42656236089877682175 46068734977067896749 51187483307853218610 56874981453170242900 61424979969423862332 68249977743804291480 68452800857456013000 71093726816462803625 76781224961779827915 85312472179755364350 92137469954135793498 102374966615706437220 113749962906340485800 122849959938847724664 127968708269633046525 142187453632925607250 153562449923559655830 170624944359510728700 184274939908271586996 204749933231412874440 213281180449388410875 230343674885339483745 255937416539266093050 284374907265851214500 307124899847119311660 341249888719021457400 368549879816543173992 383906124808899139575 426562360898776821750 460687349770678967490 511874833078532186100 568749814531702429000 614249799694238623320 639843541348165232625 767812249617798279150 853124721797553643500 921374699541357934980 1023749666157064372200 1151718374426697418725 1279687082696330465250 1535624499235596558300 1706249443595107287000 1842749399082715869960 1919530624044495697875 2303436748853394837450 2559374165392660930500 3071248998471193116600 3839061248088991395750 4606873497706789674900 5118748330785321861000 5758591872133487093625 7678122496177982791500 9213746995413579349800 11517183744266974187250 15356244992355965583000 23034367488533948374500 46068734977067896749000
- Sum of all divisors σ(n): 161289532251123617484000
- Sum of proper divisors (its aliquot sum) s(n): 115220797274055720735000
- 46068734977067896749000 is an abundant number, because the sum of its proper divisors (115220797274055720735000) is greater than itself. Its abundance is 69152062296987823986000
Bases of 46068734977067896749000
- Binary: 10011100000101100100001000001110101100000110010000010101101100111011110010002
- Hexadecimal: 0x9C16420EB06415B3BC8
- Base-36: 7I2GNFFGDNF4KI0
Squares and roots of 46068734977067896749000
- 46068734977067896749000 squared (460687349770678967490002) is 2122328342387319025199966389514524769001000000
- 46068734977067896749000 cubed (460687349770678967490003) is 97772981939761214852245893888489120067966517968072143877749000000000
-
The
square root of 46068734977067896749000 is 214636285322.5611914709 -
The
cube root of 46068734977067896749000 is 35848316.2570863473
Scales and comparisons
How big is 46068734977067896749000?- 46,068,734,977,067,896,749,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 46,068,734,977,067,896,749,000 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 46068734977067896749000 cubic inches would be around 2987359.7 feet tall.
Recreational maths with 46068734977067896749000
- 46068734977067896749000 backwards is 00094769876077943786064
- The number of decimal digits it has is: 23
- The sum of 46068734977067896749000's digits is 117
- More coming soon!
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The information we have on file for 46068734977067896749000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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