5104004857131642000
5,104,004,857,131,642,000 is an even composite number composed of seven prime numbers multiplied together.
5104004857131642000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 5104004857131642000:
24 × 3 × 53 × 72 × 112 × 29 × 4947438227
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 11 × 11 × 29 × 4947438227)See below for interesting mathematical facts about the number 5104004857131642000 from the Numbermatics database.
Names of 5104004857131642000
- Cardinal: 5104004857131642000 can be written as Five quintillion, one hundred four quadrillion, four trillion, eight hundred fifty-seven billion, one hundred thirty-one million, six hundred forty-two thousand.
Scientific notation
- Scientific notation: 5.104004857131642 × 1018
Factors of 5104004857131642000
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 4947438284
Divisors of 5104004857131642000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 29 30 33 35 40 42 44 48 49 50 55 56 58 60 66 70 75 77 80 84 87 88 98 100 105 110 112 116 120 121 125 132 140 145 147 150 154 165 168 174 175 176 196 200 203 210 220 231 232 240 242 245 250 264 275 280 290 294 300 308 319 330 336 348 350 363 375 385 392 400 406 420 435 440 462 464 484 490 500 525 528 539 550 560 580 588 600 605 609 616 638 660 696 700 725 726 735 750 770 784 812 825 840 847 870 875 880 924 957 968 980 1000 1015 1050 1078 1100 1155 1160 1176 1200 1210 1218 1225 1232 1276 1320 1375 1392 1400 1421 1450 1452 1470 1500 1540 1595 1617 1624 1650 1680 1694 1740 1750 1815 1848 1914 1925 1936 1960 2000 2030 2100 2156 2175 2200 2233 2310 2320 2352 2420 2436 2450 2541 2552 2625 2640 2695 2750 2800 2842 2900 2904 2940 3000 3025 3045 3080 3190 3234 3248 3300 3388 3480 3500 3509 3625 3630 3675 3696 3828 3850 3920 4060 4125 4200 4235 4263 4312 4350 4400 4466 4620 4785 4840 4872 4900 5075 5082 5104 5250 5390 5500 5684 5775 5800 5808 5880 5929 6000 6050 6090 6125 6160 6380 6468 6600 6699 6776 6960 7000 7018 7105 7250 7260 7350 7656 7700 7975 8085 8120 8250 8400 8470 8526 8624 8700 8932 9075 9240 9570 9625 9680 9744 9800 10150 10164 10500 10527 10780 10875 11000 11165 11368 11550 11600 11760 11858 12100 12180 12250 12705 12760 12936 13200 13398 13475 13552 14000 14036 14210 14500 14520 14700 15125 15225 15312 15400 15631 15950 16170 16240 16500 16940 17052 17400 17545 17787 17864 18150 18375 18480 19140 19250 19600 20300 20328 21000 21054 21175 21315 21560 21750 22000 22330 22736 23100 23716 23925 24200 24360 24500 24563 25375 25410 25520 25872 26796 26950 28072 28420 28875 29000 29040 29400 29645 30250 30450 30800 31262 31900 32340 33000 33495 33880 34104 34800 35090 35525 35574 35728 36300 36750 38280 38500 39875 40425 40600 40656 42000 42108 42350 42630 43120 43500 44660 45375 46200 46893 47432 47850 48400 48720 49000 49126 50750 50820 52635 53592 53900 55825 56144 56840 57750 58000 58800 59290 60500 60900 62524 63525 63800 64680 66000 66990 67375 67760 68208 70180 71050 71148 72600 73500 73689 76125 76560 77000 78155 79750 80850 81200 84216 84700 85260 87000 87725 88935 89320 90750 92400 93786 94864 95700 98000 98252 101500 101640 105270 105875 106575 107184 107800 111650 113680 115500 118580 119625 121000 121800 122815 125048 127050 127600 129360 133980 134750 140360 142100 142296 145200 147000 147378 148225 152250 154000 156310 159500 161700 167475 168432 169400 170520 171941 174000 175450 177625 177870 178640 181500 187572 191400 196504 202125 203000 203280 210540 211750 213150 215600 223300 231000 234465 237160 239250 242000 243600 245630 250096 254100 263175 267960 269500 279125 280720 284200 284592 294000 294756 296450 304500 312620 317625 319000 323400 334950 338800 341040 343882 350900 355250 355740 363000 368445 375144 382800 390775 393008 404250 406000 421080 423500 426300 438625 444675 446600 462000 468930 474320 478500 491260 508200 515823 526350 532875 535920 539000 558250 568400 589512 592900 609000 614075 625240 635250 638000 646800 669900 687764 701800 710500 711480 726000 736890 741125 750288 781550 808500 837375 842160 847000 852600 859705 877250 889350 893200 937860 957000 982520 1016400 1031646 1052700 1065750 1078000 1116500 1172325 1179024 1185800 1218000 1228150 1250480 1270500 1315875 1339800 1375528 1403600 1421000 1422960 1473780 1482250 1563100 1617000 1674750 1694000 1705200 1719410 1754500 1778700 1842225 1875720 1914000 1953875 1965040 2063292 2105400 2131500 2223375 2233000 2344650 2371600 2456300 2541000 2579115 2631750 2679600 2751056 2842000 2947560 2964500 3070375 3126200 3234000 3349500 3438820 3509000 3557400 3684450 3751440 3907750 4126584 4210800 4263000 4298525 4446750 4466000 4689300 4912600 5082000 5158230 5263500 5861625 5895120 5929000 6140750 6252400 6699000 6877640 7018000 7114800 7368900 7815500 8253168 8526000 8597050 8893500 9211125 9378600 9825200 10316460 10527000 11723250 11858000 12281500 12895575 13398000 13755280 14737800 15631000 17194100 17787000 18422250 18757200 20632920 21054000 21492625 23446500 24563000 25791150 29475600 31262000 34388200 35574000 36844500 41265840 42985250 46893000 49126000 51582300 64477875 68776400 73689000 85970500 93786000 103164600 128955750 147378000 171941000 206329200 257911500 343882000 515823000 1031646000 4947438227 9894876454 14842314681 19789752908 24737191135 29684629362 34632067589 39579505816 49474382270 54421820497 59369258724 69264135178 74211573405 79159011632 98948764540 103896202767 108843640994 118738517448 123685955675 138528270356 143475708583 148423146810 163265461491 173160337945 197897529080 207792405534 217687281988 237477034896 242424473123 247371911350 272109102485 277056540712 286951417166 296846293620 326530922982 346320675890 371057867025 380952743479 395795058160 415584811068 430427125749 435374563976 484848946246 494743822700 519481013835 544218204970 554113081424 573902834332 593692587240 598640025467 618429778375 653061845964 692641351780 717378542915 727273419369 742115734050 761905486958 816327307455 831169622136 860854251498 865801689725 870749127952 969697892492 989487645400 1004329960081 1038962027670 1088436409940 1142858230437 1147805668664 1187385174480 1197280050934 1212122365615 1236859556750 1306123691928 1360545512425 1385282703560 1434757085830 1454546838738 1484231468100 1523810973916 1578232794413 1632654614910 1662339244272 1721708502996 1731603379450 1795920076401 1855289335125 1904763717395 1939395784984 1978975290800 2008659920162 2077924055340 2152135628745 2176872819880 2285716460874 2295611337328 2394560101868 2424244731230 2473719113500 2597405069175 2612247383856 2666669204353 2721091024850 2770565407120 2869514171660 2909093677476 2968462936200 2993200127335 3012989880243 3047621947832 3156465588826 3265309229820 3443417005992 3463206758900 3586892714575 3591840152802 3636367096845 3710578670250 3809527434790 3878791569968 4017319840324 4081636537275 4155848110680 4190480178269 4304271257490 4329008448625 4353745639760 4571432921748 4734698383239 4789120203736 4848489462460 4947438227000 5021649800405 5194810138350 5333338408706 5442182049700 5714291152185 5739028343320 5818187354952 5936925872400 5986400254670 6025979760486 6060611828075 6095243895664 6312931177652 6530618459640 6802727562125 6886834011984 6926413517800 7030309720567 7173785429150 7183680305604 7272734193690 7421157340500 7619054869580 7891163972065 8000007613059 8034639680648 8163273074550 8311696221360 8380960356538 8608542514980 8658016897250 8979600382005 9142865843496 9469396766478 9523818586975 9578240407472 9696978924920 9894876454000 10043299600810 10389620276700 10666676817412 10760678143725 10884364099400 11047629560891 11428582304370 11478056686640 11636374709904 11972800509340 12051959520972 12121223656150 12571440534807 12625862355304 12987025345875 13061236919280 13333346021765 13605455124250 13852827035600 14060619441134 14347570858300 14367360611208 14545468387380 14842314681000 14966000636675 15064949401215 15238109739160 15782327944130 16000015226118 16069279361296 16326546149100 16761920713076 17217085029960 17316033794500 17360560738543 17934463572875 17959200764010 18181835484225 18285731686992 18938793532956 19047637173950 19393957849840 20086599201620 20408182686375 20779240553400 20952400891345 21090929161701 21333353634824 21521356287450 21768728198800 22095259121782 22857164608740 23673491916195 23945601018680 24103919041944 24242447312300 25108249002025 25142881069614 25251724710608 25974050691750 26666692043530 27210910248500 28121238882268 28571455760925 28695141716600 28734721222416 29090936774760 29333361247883 29684629362000 29932001273350 30129898802430 30303059140375 30476219478320 31564655888260 32000030452236 32653092298200 33142888682673 33523841426152 34434170059920 34632067589000 34721121477086 35151548602835 35868927145750 35918401528020 36363670968450 37877587065912 38095274347900 39455819860325 40000038065295 40173198403240 40816365372750 41558481106800 41904801782690 42181858323402 42666707269648 43042712574900 44190518243564 44898001910025 45714329217480 47346983832390 47619092934875 47891202037360 48207838083888 48484894624600 50216498004050 50285762139228 51948101383500 52081682215629 53333384087060 53803390718625 54421820497000 55238147804455 56242477764536 57142911521850 57390283433200 58181873549520 58666722495766 59864002546700 60259797604860 60606118280750 62857202674035 63129311776520 64000060904472 65306184596400 66285777365346 66666730108825 67047682852304 69264135178000 69442242954172 70303097205670 71737854291500 71836803056040 72727341936900 74830003183375 75324747006075 75755174131824 76190548695800 77333406926237 78911639720650 80000076130590 80346396806480 81632730745500 83809603565380 84363716646804 86085425149800 86802803692715 88000083743649 88381036487128 89796003820050 90909177421125 91428658434960 94693967664780 95238185869750 96969789249200 100432996008100 100571524278456 103896202767000 104163364431258 104762004456725 105454645808505 106666768174120 107606781437250 108843640994000 110476295608910 112484955529072 114285823043700 117333444991532 118367459580975 119728005093400 120519595209720 121212236561500 121523925169801 125541245010125 125714405348070 126258623553040 128000121808944 132571554730692 133333460217650 138884485908344 140606194411340 142857278804625 143475708583000 143673606112080 145454683873800 146666806239415 149660006366750 150649494012150 152381097391600 154666813852474 157823279441300 160000152261180 163265461491000 165714443413365 167619207130760 168727433293608 172170850299600 173605607385430 175757743014175 176000167487298 176762072974256 179592007640100 181818354842250 189387935329560 190476371739500 197279099301625 200000190326475 200865992016200 201143048556912 207792405534000 208326728862516 209524008913450 210909291617010 213333536348240 215213562874500 220952591217820 224490009550125 228571646087400 232000220778711 234666889983064 236734919161950 239456010186800 241039190419440 242424473123000 243047850339602 251082490020250 251428810696140 260408411078145 265143109461384 266666920435300 276190739022275 277768971816688 281212388822680 285714557609250 286951417166000 290909367747600 293333612478830 299320012733500 301298988024300 309333627704948 314286013370175 315646558882600 320000304522360 326530922982000 331428886826730 333333650544125 335238414261520 337454866587216 347211214770860 351515486028350 352000334974596 359184015280200 363636709684500 364571775509403 376623735030375 378775870659120 380952743479000 386667034631185 394558198603250 400000380652950 401731984032400 416653457725032 419048017826900 421818583234020 430427125749000 434014018463575 440000418718245 441905182435640 448980019100250 457143292174800 464000441557422 469333779966128 473469838323900 484848946246000 486095700679204 502164980040500 502857621392280 520816822156290 523810022283625 527273229042525 530286218922768 533333840870600 552381478044550 562424777645360 571429115218500 586667224957660 591837297904875 598640025467000 602597976048600 607619625849005 618667255409896 628572026740350 631293117765200 640000609044720 662857773653460 666667301088250 694422429541720 703030972056700 704000669949192 718368030560400 727273419369000 729143551018806 733334031197075 753247470060750 761905486958000 773334069262370 789116397206500 800000761305900 828572217066825 833306915450064 838096035653800 843637166468040 850667476188607 860854251498000 868028036927150 878788715070875 880000837436490 883810364871280 897960038200500 928000883114844 946939676647800 972191401358408 1000000951632375 1004329960081000 1005715242784560 1041633644312580 1047620044567250 1054546458085050 1066667681741200 1104762956089100 1142858230437000 1160001103893555 1173334449915320 1183674595809750 1197280050934000 1205195952097200 1215239251698010 1237334510819792 1257144053480700 1302042055390725 1325715547306920 1333334602176500 1380953695111375 1388844859083440 1406061944113400 1408001339898384 1454546838738000 1458287102037612 1466668062394150 1506494940121500 1546668138524740 1571430066850875 1578232794413000 1600001522611800 1657144434133650 1676192071307600 1687274332936080 1701334952377214 1736056073854300 1757577430141750 1760001674872980 1795920076401000 1822858877547015 1856001766229688 1893879353295600 1933335173155925 1944382802716816 2000001903264750 2008659920162000 2083267288625160 2095240089134500 2109092916170100 2170070092317875 2200002093591225 2209525912178200 2285716460874000 2320002207787110 2346668899830640 2367349191619500 2430478503396020 2514288106961400 2552002428565821 2604084110781450 2636366145212625 2651431094613840 2666669204353000 2761907390222750 2812123888226800 2916574204075224 2933336124788300 3012989880243000 3038098129245025 3093336277049480 3142860133701750 3156465588826000 3200003045223600 3314288868267300 3402669904754428 3472112147708600 3515154860283500 3520003349745960 3591840152802000 3645717755094030 3666670155985375 3712003532459376 3866670346311850 4000003806529500 4142861085334125 4166534577250320 4190480178269000 4218185832340200 4253337380943035 4340140184635750 4400004187182450 4419051824356400 4640004415574220 4734698383239000 4860957006792040 5028576213922800 5104004857131642 5208168221562900 5272732290425250 5333338408706000 5523814780445500 5800005519467775 5833148408150448 5866672249576600 6025979760486000 6076196258490050 6186672554098960 6285720267403500 6510210276953625 6628577736534600 6805339809508856 6944224295417200 7030309720567000 7040006699491920 7291435510188060 7333340311970750 7733340692623700 8000007613059000 8285722170668250 8380960356538000 8436371664680400 8506674761886070 8680280369271500 8800008374364900 9114294387735075 9280008831148440 9469396766478000 9666675865779625 9721914013584080 10208009714263284 10416336443125800 10545464580850500 11000010467956125 11047629560891000 11600011038935550 11733344499153200 12152392516980100 12571440534807000 12760012142829105 13020420553907250 13257155473069200 13610679619017712 14060619441134000 14582871020376120 14666680623941500 15190490646225125 15466681385247400 16000015226118000 16571444341336500 17013349523772140 17360560738543000 17600016748729800 18228588775470150 18560017662296880 19333351731559250 20416019428526568 20832672886251600 21090929161701000 21266686904715175 22000020935912250 22095259121782000 23200022077871100 24304785033960200 25142881069614000 25520024285658210 26040841107814500 29000027597338875 29165742040752240 29333361247883000 30380981292450250 30933362770494800 33142888682673000 34026699047544280 34721121477086000 35200033497459600 36457177550940300 38666703463118500 40832038857053136 42181858323402000 42533373809430350 44000041871824500 45571471938675375 46400044155742200 48609570067920400 51040048571316420 52081682215629000 58000055194677750 58666722495766000 60761962584900500 63800060714145525 66285777365346000 68053398095088560 72914355101880600 77333406926237000 85066747618860700 88000083743649000 91142943877350750 92800088311484400 102080097142632840 104163364431258000 106333434523575875 116000110389355500 121523925169801000 127600121428291050 145828710203761200 154666813852474000 170133495237721400 176000167487298000 182285887754701500 204160194285265680 212666869047151750 232000220778711000 243047850339602000 255200242856582100 319000303570727625 340266990475442800 364571775509403000 425333738094303500 464000441557422000 510400485713164200 638000607141455250 729143551018806000 850667476188607000 1020800971426328400 1276001214282910500 1701334952377214000 2552002428565821000 5104004857131642000
- Sum of all divisors σ(n): 21765789029097509760
- Sum of proper divisors (its aliquot sum) s(n): 16661784171965867760
- 5104004857131642000 is an abundant number, because the sum of its proper divisors (16661784171965867760) is greater than itself. Its abundance is 11557779314834225760
Bases of 5104004857131642000
- Binary: 1000110110101010001000101100000000110010011001100101100100100002
- Hexadecimal: 0x46D5116019332C90
- Base-36: 12S02PXR7ZCEO
Squares and roots of 5104004857131642000
- 5104004857131642000 squared (51040048571316420002) is 26050865581623393263787717616164000000
- 5104004857131642000 cubed (51040048571316420003) is 132963744461089317210089659665877060430975061288000000000
-
The
square root of 5104004857131642000 is 2259204474.3961627521 -
The
cube root of 5104004857131642000 is 1721751.0625188821
Scales and comparisons
How big is 5104004857131642000?- 5,104,004,857,131,642,000 seconds is equal to 162,291,566,733 years, 9 weeks, 11 hours, 40 minutes.
-
To count from 1 to 5,104,004,857,131,642,000 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 5104004857131642000 cubic inches would be around 143479.3 feet tall.
Recreational maths with 5104004857131642000
- 5104004857131642000 backwards is 0002461317584004015
- The number of decimal digits it has is: 19
- The sum of 5104004857131642000's digits is 51
- More coming soon!
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"Number 5104004857131642000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 5104004857131642000 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/5104004857131642000/
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The information we have on file for 5104004857131642000 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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