120068031296716800
120,068,031,296,716,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 120068031296716800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 900 divisors.
120068031296716800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred divisors.
Prime factorization of 120068031296716800:
214 × 3 × 52 × 11 × 3074
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 307 × 307 × 307 × 307)See below for interesting mathematical facts about the number 120068031296716800 from the Numbermatics database.
Names of 120068031296716800
- Cardinal: 120068031296716800 can be written as One hundred twenty quadrillion, sixty-eight trillion, thirty-one billion, two hundred ninety-six million, seven hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.200680312967168 × 1017
Factors of 120068031296716800
Divisors of 120068031296716800
- Number of divisors d(n): 900
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 128 132 150 160 165 176 192 200 220 240 256 264 275 300 307 320 330 352 384 400 440 480 512 528 550 600 614 640 660 704 768 800 825 880 921 960 1024 1056 1100 1200 1228 1280 1320 1408 1535 1536 1600 1650 1760 1842 1920 2048 2112 2200 2400 2456 2560 2640 2816 3070 3072 3200 3300 3377 3520 3684 3840 4096 4224 4400 4605 4800 4912 5120 5280 5632 6140 6144 6400 6600 6754 7040 7368 7675 7680 8192 8448 8800 9210 9600 9824 10131 10240 10560 11264 12280 12288 12800 13200 13508 14080 14736 15350 15360 16384 16885 16896 17600 18420 19200 19648 20262 20480 21120 22528 23025 24560 24576 25600 26400 27016 28160 29472 30700 30720 33770 33792 35200 36840 38400 39296 40524 40960 42240 45056 46050 49120 49152 50655 51200 52800 54032 56320 58944 61400 61440 67540 67584 70400 73680 76800 78592 81048 81920 84425 84480 90112 92100 94249 98240 101310 102400 105600 108064 112640 117888 122800 122880 135080 135168 140800 147360 153600 157184 162096 168850 168960 180224 184200 188498 196480 202620 204800 211200 216128 225280 235776 245600 245760 253275 270160 270336 281600 282747 294720 307200 314368 324192 337700 337920 368400 376996 392960 405240 409600 422400 432256 450560 471245 471552 491200 506550 540320 540672 563200 565494 589440 614400 628736 648384 675400 675840 736800 753992 785920 810480 844800 864512 901120 942490 943104 982400 1013100 1036739 1080640 1126400 1130988 1178880 1228800 1257472 1296768 1350800 1351680 1413735 1473600 1507984 1571840 1620960 1689600 1729024 1884980 1886208 1964800 2026200 2073478 2161280 2252800 2261976 2356225 2357760 2514944 2593536 2701600 2703360 2827470 2947200 3015968 3110217 3143680 3241920 3379200 3458048 3769960 3772416 3929600 4052400 4146956 4322560 4505600 4523952 4712450 4715520 5029888 5183695 5187072 5403200 5654940 5894400 6031936 6220434 6287360 6483840 6758400 6916096 7068675 7539920 7544832 7859200 8104800 8293912 8645120 9047904 9424900 9431040 10367390 10374144 10806400 11309880 11788800 12063872 12440868 12574720 12967680 13516800 13832192 14137350 15079840 15089664 15551085 15718400 16209600 16587824 17290240 18095808 18849800 18862080 20734780 20748288 21612800 22619760 23577600 24127744 24881736 25149440 25918475 25935360 27664384 28274700 28934443 30159680 31102170 31436800 32419200 33175648 34580480 36191616 37699600 37724160 41469560 41496576 43225600 45239520 47155200 48255488 49763472 51836950 51870720 55328768 56549400 57868886 60319360 62204340 62873600 64838400 66351296 69160960 72383232 75399200 75448320 77755425 82939120 82993152 86451200 86803329 90479040 94310400 96510976 99526944 103673900 103741440 113098800 115737772 120638720 124408680 125747200 129676800 132702592 138321920 144672215 144766464 150798400 155510850 165878240 165986304 172902400 173606658 180958080 188620800 193021952 199053888 207347800 207482880 226197600 231475544 241277440 248817360 259353600 265405184 276643840 289344430 289532928 301596800 311021700 318278873 331756480 345804800 347213316 361916160 377241600 386043904 398107776 414695600 414965760 434016645 452395200 462951088 482554880 497634720 518707200 530810368 578688860 579065856 603193600 622043400 636557746 663512960 691609600 694426632 723361075 723832320 772087808 796215552 829391200 829931520 868033290 904790400 925902176 954836619 965109760 995269440 1037414400 1061620736 1157377720 1158131712 1206387200 1244086800 1273115492 1327025920 1383219200 1388853264 1446722150 1447664640 1544175616 1591394365 1592431104 1658782400 1736066580 1809580800 1851804352 1909673238 1930219520 1990538880 2074828800 2123241472 2170083225 2314755440 2316263424 2412774400 2488173600 2546230984 2654051840 2777706528 2893444300 2895329280 3182788730 3184862208 3317564800 3472133160 3619161600 3703608704 3819346476 3860439040 3981077760 4149657600 4246482944 4340166450 4629510880 4632526848 4774183095 4825548800 4976347200 5092461968 5308103680 5555413056 5786888600 5790658560 6365577460 6369724416 6635129600 6944266320 7238323200 7407217408 7638692952 7720878080 7956971825 7962155520 8492965888 8680332900 8882874001 9259021760 9548366190 9651097600 9952694400 10184923936 10616207360 11110826112 11573777200 11581317120 12731154920 12739448832 13270259200 13888532640 14476646400 14814434816 15277385904 15913943650 15924311040 16985931776 17360665800 17765748002 18518043520 19096732380 19302195200 19905388800 20369847872 21232414720 22221652224 23147554400 23162634240 23870915475 25462309840 25478897664 26540518400 26648622003 27777065280 28953292800 29628869632 30554771808 31827887300 31848622080 34721331600 35531496004 37036087040 38193464760 38604390400 39810777600 40739695744 42464829440 44414370005 44443304448 46295108800 47741830950 50924619680 50957795328 53081036800 53297244006 55554130560 57906585600 59257739264 61109543616 63655774600 63697244160 69442663200 71062992008 74072174080 76386929520 79621555200 81479391488 84929658880 88828740010 88886608896 92590217600 95483661900 97711614011 101849239360 106162073600 106594488012 111108261120 115813171200 118515478528 122219087232 127311549200 127394488320 133243110015 138885326400 142125984016 148144348160 152773859040 159243110400 162958782976 177657480020 177773217792 185180435200 190967323800 195423228022 203698478720 212324147200 213188976024 222071850025 222216522240 237030957056 244438174464 254623098400 254788976640 266486220030 277770652800 284251968032 293134842033 296288696320 305547718080 318486220800 325917565952 355314960040 355546435584 370360870400 381934647600 390846456044 407396957440 424648294400 426377952048 444143700050 444433044480 474061914112 488558070055 488876348928 509246196800 532972440060 555541305600 568503936064 586269684066 592577392640 611095436160 636972441600 651835131904 666215550075 710629920080 711092871168 740721740800 763869295200 781692912088 814793914880 852755904096 888287400100 888866088960 977116140110 977752697856 1018492393600 1065944880120 1111082611200 1137007872128 1172539368132 1185154785280 1222190872320 1273944883200 1303670263808 1332431100150 1421259840160 1422185742336 1465674210165 1481443481600 1527738590400 1563385824176 1629587829760 1705511808192 1776574800200 1777732177920 1954232280220 1955505395712 2036984787200 2131889760240 2222165222400 2274015744256 2345078736264 2370309570560 2442790350275 2444381744640 2607340527616 2664862200300 2842519680320 2931348420330 2962886963200 3055477180800 3126771648352 3259175659520 3411023616384 3553149600400 3555464355840 3908464560440 3911010791424 4073969574400 4263779520480 4444330444800 4548031488512 4690157472528 4885580700550 4888763489280 5214681055232 5329724400600 5685039360640 5862696840660 5925773926400 6110954361600 6253543296704 6518351319040 6822047232768 7106299200800 7110928711680 7328371050825 7816929120880 7822021582848 8147939148800 8527559040960 8888660889600 9096062977024 9380314945056 9771161401100 9777526978560 10659448801200 11370078721280 11725393681320 11851547852800 12221908723200 12507086593408 13036702638080 13644094465536 14212598401600 14656742101650 15633858241760 15644043165696 16295878297600 17055118081920 17777321779200 18192125954048 18760629890112 19542322802200 19555053957120 21318897602400 22740157442560 23450787362640 24443817446400 25014173186816 26073405276160 27288188931072 28425196803200 29313484203300 31267716483520 32591756595200 34110236163840 35554643558400 36384251908096 37521259780224 39084645604400 39110107914240 42637795204800 45480314885120 46901574725280 48887634892800 50028346373632 54576377862144 56850393606400 58626968406600 62535432967040 65183513190400 68220472327680 72768503816192 75042519560448 78169291208800 78220215828480 85275590409600 90960629770240 93803149450560 97775269785600 100056692747264 109152755724288 113700787212800 117253936813200 125070865934080 130367026380800 136440944655360 145537007632384 150085039120896 156338582417600 170551180819200 181921259540480 187606298901120 195550539571200 200113385494528 218305511448576 227401574425600 234507873626400 250141731868160 272881889310720 300170078241792 312677164835200 341102361638400 363842519080960 375212597802240 391101079142400 400226770989056 436611022897152 454803148851200 469015747252800 500283463736320 545763778621440 600340156483584 625354329670400 682204723276800 727685038161920 750425195604480 800453541978112 909606297702400 938031494505600 1000566927472640 1091527557242880 1200680312967168 1250708659340800 1364409446553600 1500850391208960 1600907083956224 1819212595404800 1876062989011200 2001133854945280 2183055114485760 2401360625934336 2501417318681600 2728818893107200 3001700782417920 3638425190809600 3752125978022400 4002267709890560 4802721251868672 5002834637363200 5457637786214400 6003401564835840 7504251956044800 8004535419781120 10005669274726400 10915275572428800 12006803129671680 15008503912089600 20011338549452800 24013606259343360 30017007824179200 40022677098905600 60034015648358400 120068031296716800
- Sum of all divisors σ(n): 434520292543045296
- Sum of proper divisors (its aliquot sum) s(n): 314452261246328496
- 120068031296716800 is an abundant number, because the sum of its proper divisors (314452261246328496) is greater than itself. Its abundance is 194384229949611696
Bases of 120068031296716800
- Binary: 1101010101001000100111101000000100101001001000000000000002
- Hexadecimal: 0x1AA913D02524000
- Base-36: WU8KC3TD4AO
Squares and roots of 120068031296716800
- 120068031296716800 squared (1200680312967168002) is 14416332139469364969282459402240000
- 120068031296716800 cubed (1200680312967168003) is 1730940618505671976842624054981983439402565632000000
-
The
square root of 120068031296716800 is 346508342.3190801045 -
The
cube root of 120068031296716800 is 493335.6081489211
Scales and comparisons
How big is 120068031296716800?- 120,068,031,296,716,800 seconds is equal to 3,817,792,000 years, 22 weeks, 2 days, 10 hours, 40 minutes.
-
To count from 1 to 120,068,031,296,716,800 would take you about eleven billion, four hundred fifty-three million, three hundred seventy-six thousand and one 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 120068031296716800 cubic inches would be around 41111.3 feet tall.
Recreational maths with 120068031296716800
- 120068031296716800 backwards is 008617692130860021
- 120068031296716800 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 120068031296716800's digits is 60
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 120068031296716800 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
APA style:
Numbermatics. (2024). Number 120068031296716800 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/120068031296716800/
Chicago style:
Numbermatics. 2024. "Number 120068031296716800 - Facts about the integer". https://numbermatics.com/n/120068031296716800/
The information we have on file for 120068031296716800 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!
Keywords: Divisors of 120068031296716800, math, Factors of 120068031296716800, curriculum, school, college, exams, university, Prime factorization of 120068031296716800, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty quadrillion, sixty-eight trillion, thirty-one billion, two hundred ninety-six million, seven hundred sixteen thousand, eight hundred.