34890317003100832000
34,890,317,003,100,832,000 is an even composite number composed of six prime numbers multiplied together.
34890317003100832000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 34890317003100832000:
28 × 53 × 72 × 13 × 17 × 100685419369
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 13 × 17 × 100685419369)See below for interesting mathematical facts about the number 34890317003100832000 from the Numbermatics database.
Names of 34890317003100832000
- Cardinal: 34890317003100832000 can be written as Thirty-four quintillion, eight hundred ninety quadrillion, three hundred seventeen trillion, three billion, one hundred million, eight hundred thirty-two thousand.
Scientific notation
- Scientific notation: 3.4890317003100832 × 1019
Factors of 34890317003100832000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 100685419413
Divisors of 34890317003100832000
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 32 34 35 40 49 50 52 56 64 65 68 70 80 85 91 98 100 104 112 119 125 128 130 136 140 160 170 175 182 196 200 208 221 224 238 245 250 256 260 272 280 320 325 340 350 364 392 400 416 425 442 448 455 476 490 500 520 544 560 595 637 640 650 680 700 728 784 800 832 833 850 875 884 896 910 952 980 1000 1040 1088 1105 1120 1190 1225 1274 1280 1300 1360 1400 1456 1547 1568 1600 1625 1664 1666 1700 1750 1768 1792 1820 1904 1960 2000 2080 2125 2176 2210 2240 2275 2380 2450 2548 2600 2720 2800 2912 2975 3094 3136 3185 3200 3250 3328 3332 3400 3500 3536 3640 3808 3920 4000 4160 4165 4250 4352 4420 4480 4550 4760 4900 5096 5200 5440 5525 5600 5824 5950 6125 6188 6272 6370 6400 6500 6664 6800 7000 7072 7280 7616 7735 7840 8000 8320 8330 8500 8840 8960 9100 9520 9800 10192 10400 10829 10880 11050 11200 11375 11648 11900 12250 12376 12544 12740 13000 13328 13600 14000 14144 14560 14875 15232 15470 15680 15925 16000 16640 16660 17000 17680 18200 19040 19600 20384 20800 20825 21658 21760 22100 22400 22750 23296 23800 24500 24752 25480 26000 26656 27200 27625 28000 28288 29120 29750 30464 30940 31360 31850 32000 33320 34000 35360 36400 38080 38675 39200 40768 41600 41650 43316 44200 44800 45500 47600 49000 49504 50960 52000 53312 54145 54400 55250 56000 56576 58240 59500 61880 62720 63700 66640 68000 70720 72800 76160 77350 78400 79625 81536 83200 83300 86632 88400 91000 95200 98000 99008 101920 104000 104125 106624 108290 108800 110500 112000 116480 119000 123760 127400 133280 136000 141440 145600 152320 154700 156800 159250 163072 166600 173264 176800 182000 190400 193375 196000 198016 203840 208000 208250 213248 216580 221000 224000 238000 247520 254800 266560 270725 272000 282880 291200 309400 313600 318500 333200 346528 353600 364000 380800 386750 392000 396032 407680 416000 416500 433160 442000 476000 495040 509600 533120 541450 544000 582400 618800 637000 666400 693056 707200 728000 761600 773500 784000 815360 833000 866320 884000 952000 990080 1019200 1066240 1082900 1237600 1274000 1332800 1353625 1386112 1414400 1456000 1547000 1568000 1666000 1732640 1768000 1904000 1980160 2038400 2165800 2475200 2548000 2665600 2707250 2772224 2912000 3094000 3332000 3465280 3536000 3808000 4076800 4331600 4950400 5096000 5331200 5414500 6188000 6664000 6930560 7072000 8663200 9900800 10192000 10829000 12376000 13328000 13861120 17326400 20384000 21658000 24752000 26656000 34652800 43316000 49504000 69305600 86632000 173264000 346528000 100685419369 201370838738 402741677476 503427096845 704797935583 805483354952 1006854193690 1308910451797 1409595871166 1610966709904 1711652129273 2013708387380 2517135484225 2617820903594 2819191742332 3221933419808 3423304258546 3523989677915 4027416774760 4933585549081 5034270968450 5235641807188 5638383484664 6443866839616 6544552258985 6846608517092 7047979355830 8054833549520 8558260646365 9162373162579 9867171098162 10068541936900 10471283614376 11276766969328 11981564904911 12585677421125 12887733679232 13089104517970 13693217034184 14095958711660 16109667099040 17116521292730 17619948389575 18324746325158 19734342196324 20137083873800 20942567228752 22251477680549 22553533938656 23963129809822 24667927745405 25171354842250 25775467358464 26178209035940 27386434068368 28191917423320 32219334198080 32722761294925 34233042585460 35239896779150 36649492650316 39468684392648 40274167747600 41885134457504 42791303231825 44502955361098 45107067877312 45811865812895 47926259619644 49335855490810 50342709684500 52356418071880 54772868136736 56383834846640 59907824524555 64136612138053 64438668396160 65445522589850 68466085170920 70479793558300 73298985300632 78937368785296 80548335495200 83770268915008 83870954334377 85582606463650 88099741947875 89005910722196 90214135754624 91623731625790 95852519239288 98671710981620 100685419369000 104712836143760 109545736273472 111257388402745 112767669693280 119815649049110 123339638727025 128273224276106 128877336792320 130891045179700 136932170341840 140959587116600 146597970601264 155760343763843 157874737570592 161096670990400 163613806474625 167540537830016 167741908668754 171165212927300 176199483895750 178011821444392 180428271509248 183247463251580 191705038478576 197343421963240 201370838738000 209425672287520 213956516159125 219091472546944 222514776805490 225535339386560 229059329064475 239631298098220 246679277454050 256546448552212 261782090359400 273864340683680 281919174233200 293195941202528 299539122622775 311520687527686 315749475141184 320683060690265 322193341980800 327227612949250 335081075660032 335483817337508 342330425854600 352398967791500 356023642888784 366494926503160 383410076957152 394686843926480 402741677476000 418851344575040 419354771671885 427913032318250 438182945093888 445029553610980 451070678773120 458118658128950 479262596196440 493358554908100 513092897104424 523564180718800 547728681367360 556286942013725 563838348466400 586391882405056 599078245245550 616698193635125 623041375055372 631498950282368 641366121380530 644386683961600 654455225898500 670967634675016 684660851709200 704797935583000 712047285777568 732989853006320 766820153914304 778801718819215 789373687852960 805483354952000 837702689150080 838709543343770 855826064636500 890059107221960 902141357546240 916237316257900 958525192392880 986717109816200 1026185794208848 1047128361437600 1090322406346901 1095457362734720 1112573884027450 1127676696932800 1145296645322375 1172783764810112 1198156490491100 1233396387270250 1246082750110744 1262997900564736 1282732242761060 1308910451797000 1341935269350032 1369321703418400 1409595871166000 1424094571555136 1465979706012640 1497695613113875 1533640307828608 1557603437638430 1578747375705920 1603415303451325 1610966709904000 1675405378300160 1677419086687540 1711652129273000 1780118214443920 1832474632515800 1917050384785760 1973434219632400 2052371588417696 2094256722875200 2096773858359425 2180644812693802 2190914725469440 2225147768054900 2255353393865600 2290593290644750 2345567529620224 2396312980982200 2466792774540500 2492165500221488 2565464485522120 2617820903594000 2683870538700064 2738643406836800 2781434710068625 2819191742332000 2848189143110272 2931959412025280 2995391226227750 3067280615657216 3115206875276860 3157494751411840 3206830606902650 3221933419808000 3354838173375080 3423304258546000 3560236428887840 3664949265031600 3834100769571520 3894008594096075 3946868439264800 4104743176835392 4188513445750400 4193547716718850 4361289625387604 4450295536109800 4510706787731200 4581186581289500 4792625961964400 4933585549081000 4984331000442976 5130928971044240 5235641807188000 5367741077400128 5451612031734505 5477286813673600 5562869420137250 5638383484664000 5696378286220544 5863918824050560 5990782452455500 6230413750553720 6314989502823680 6413661213805300 6709676346750160 6846608517092000 7120472857775680 7329898530063200 7668201539143040 7788017188192150 7893736878529600 8017076517256625 8209486353670784 8377026891500800 8387095433437700 8722579250775208 8900591072219600 9162373162579000 9585251923928800 9867171098162000 9968662000885952 10261857942088480 10471283614376000 10483869291797125 10735482154800256 10903224063469010 10954573627347200 11125738840274500 11276766969328000 11727837648101120 11981564904911000 12460827501107440 12827322427610600 13419352693500320 13693217034184000 14240945715551360 14659797060126400 15336403078286080 15576034376384300 15787473757059200 16034153034513250 16418972707341568 16774190866875400 17445158501550416 17801182144439200 18324746325158000 19170503847857600 19470042970480375 19734342196324000 19937324001771904 20523715884176960 20942567228752000 20967738583594250 21470964309600512 21806448126938020 22251477680549000 22553533938656000 23963129809822000 24921655002214880 25654644855221200 26838705387000640 27258060158672525 27386434068368000 28481891431102720 29319594120252800 31152068752768600 31574947514118400 32068306069026500 33548381733750800 34890317003100832 35602364288878400 36649492650316000 38341007695715200 38940085940960750 39468684392648000 39874648003543808 41047431768353920 41885134457504000 41935477167188500 43612896253876040 44502955361098000 47926259619644000 49843310004429760 51309289710442400 53677410774001280 54516120317345050 54772868136736000 58639188240505600 62304137505537200 64136612138053000 67096763467501600 69780634006201664 71204728577756800 73298985300632000 76682015391430400 77880171881921500 78937368785296000 82094863536707840 83870954334377000 87225792507752080 89005910722196000 95852519239288000 99686620008859520 102618579420884800 107354821548002560 109032240634690100 124608275011074400 128273224276106000 134193526935003200 136290300793362625 139561268012403328 142409457155513600 146597970601264000 155760343763843000 157874737570592000 167741908668754000 174451585015504160 178011821444392000 191705038478576000 199373240017719040 205237158841769600 218064481269380200 249216550022148800 256546448552212000 268387053870006400 272580601586725250 279122536024806656 293195941202528000 311520687527686000 335483817337508000 348903170031008320 356023642888784000 383410076957152000 410474317683539200 436128962538760400 498433100044297600 513092897104424000 536774107740012800 545161203173450500 623041375055372000 670967634675016000 697806340062016640 712047285777568000 872257925077520800 996866200088595200 1026185794208848000 1090322406346901000 1246082750110744000 1341935269350032000 1395612680124033280 1744515850155041600 2052371588417696000 2180644812693802000 2492165500221488000 2683870538700064000 3489031700310083200 4361289625387604000 4984331000442976000 6978063400620166400 8722579250775208000 17445158501550416000 34890317003100832000
- Sum of all divisors σ(n): 115288895423126486880
- Sum of proper divisors (its aliquot sum) s(n): 80398578420025654880
- 34890317003100832000 is an abundant number, because the sum of its proper divisors (80398578420025654880) is greater than itself. Its abundance is 45508261416924822880
Bases of 34890317003100832000
- Binary: 111100100001100110100111001110101000111101001100011000001000000002
- Hexadecimal: 0x1E4334E751E98C100
- Base-36: 7D2W15GR8QXOG
Squares and roots of 34890317003100832000
- 34890317003100832000 squared (348903170031008320002) is 1217334220576867022897103159092224000000
- 34890317003100832000 cubed (348903170031008320003) is 42473176854649562201585995326773197778022259130368000000000
-
The
square root of 34890317003100832000 is 5906802604.0406015923 -
The
cube root of 34890317003100832000 is 3267645.7788384153
Scales and comparisons
How big is 34890317003100832000?- 34,890,317,003,100,832,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 34,890,317,003,100,832,000 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 34890317003100832000 cubic inches would be around 272303.8 feet tall.
Recreational maths with 34890317003100832000
- 34890317003100832000 backwards is 00023800130071309843
- 34890317003100832000 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 34890317003100832000's digits is 52
- More coming soon!
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The information we have on file for 34890317003100832000 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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