268122915393408000
268,122,915,393,408,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 268122915393408000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2112 divisors.
268122915393408000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 268122915393408000:
210 × 33 × 53 × 43 × 715
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 43 × 71 × 71 × 71 × 71 × 71)See below for interesting mathematical facts about the number 268122915393408000 from the Numbermatics database.
Names of 268122915393408000
- Cardinal: 268122915393408000 can be written as Two hundred sixty-eight quadrillion, one hundred twenty-two trillion, nine hundred fifteen billion, three hundred ninety-three million, four hundred eight thousand.
Scientific notation
- Scientific notation: 2.68122915393408 × 1017
Factors of 268122915393408000
Divisors of 268122915393408000
- Number of divisors d(n): 2112
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 43 45 48 50 54 60 64 71 72 75 80 86 90 96 100 108 120 125 128 129 135 142 144 150 160 172 180 192 200 213 215 216 225 240 250 256 258 270 284 288 300 320 344 355 360 375 384 387 400 426 430 432 450 480 500 512 516 540 568 576 600 639 640 645 675 688 710 720 750 768 774 800 852 860 864 900 960 1000 1024 1032 1065 1075 1080 1125 1136 1152 1161 1200 1278 1280 1290 1350 1376 1420 1440 1500 1536 1548 1600 1704 1720 1728 1775 1800 1917 1920 1935 2000 2064 2130 2150 2160 2250 2272 2304 2322 2400 2556 2560 2580 2700 2752 2840 2880 3000 3053 3072 3096 3195 3200 3225 3375 3408 3440 3456 3550 3600 3834 3840 3870 4000 4128 4260 4300 4320 4500 4544 4608 4644 4800 5041 5112 5120 5160 5325 5375 5400 5504 5680 5760 5805 6000 6106 6192 6390 6400 6450 6750 6816 6880 6912 7100 7200 7668 7680 7740 8000 8256 8520 8600 8640 8875 9000 9088 9159 9216 9288 9585 9600 9675 10082 10224 10320 10650 10750 10800 11008 11360 11520 11610 12000 12212 12384 12780 12800 12900 13500 13632 13760 13824 14200 14400 15123 15265 15336 15360 15480 15975 16000 16125 16512 17040 17200 17280 17750 18000 18176 18318 18576 19170 19200 19350 20164 20448 20640 21300 21500 21600 22016 22720 23040 23220 24000 24424 24768 25205 25560 25600 25800 26625 27000 27264 27477 27520 27648 28400 28800 29025 30246 30530 30672 30960 31950 32000 32250 33024 34080 34400 34560 35500 36000 36352 36636 37152 38340 38400 38700 40328 40896 41280 42600 43000 43200 44032 45369 45440 45795 46080 46440 47925 48000 48375 48848 49536 50410 51120 51600 53250 54000 54528 54954 55040 56800 57600 58050 60492 61060 61344 61920 63900 64000 64500 66048 68160 68800 69120 71000 72000 72704 73272 74304 75615 76325 76680 76800 77400 79875 80656 81792 82431 82560 85200 86000 86400 90738 90880 91590 92880 95850 96000 96750 97696 99072 100820 102240 103200 106500 108000 109056 109908 110080 113600 115200 116100 120984 122120 122688 123840 126025 127800 128000 129000 132096 136107 136320 137385 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67030728848352 69282407078400 69823675883700 69932946112000 74478587609280 75527581800960 77581862093000 77942707963200 78674564376000 79443826783232 83138888494080 83788411060440 83919535334400 86603008848000 87279594854625 87822769536000 89374305131136 93098234511600 94409477251200 97428384954000 99304783479040 103923610617600 104735513825550 104899419168000 111717881413920 115470678464000 116372793139500 118011846564000 119165740174848 124130979348800 124708332741120 125879303001600 129904513272000 134061457696704 138564814156800 139647351767400 139865892224000 148957175218560 151055163601920 155163724186000 155885415926400 157349128752000 167576822120880 173206017696000 174559189709250 178748610262272 186196469023200 188818954502400 194856769908000 198609566958080 207847221235200 209471027651100 209798838336000 223435762827840 230941356928000 232745586279000 236023693128000 238331480349696 248261958697600 249416665482240 251758606003200 259809026544000 261838784563875 268122915393408 279294703534800 297914350437120 310327448372000 311770831852800 314698257504000 335153644241760 346412035392000 349118379418500 357497220524544 372392938046400 377637909004800 389713539816000 397219133916160 415694442470400 418942055302200 419597676672000 446871525655680 465491172558000 472047386256000 496523917395200 519618053088000 523677569127750 536245830786816 558589407069600 595828700874240 620654896744000 623541663705600 629396515008000 670307288483520 692824070784000 698236758837000 714994441049088 744785876092800 755275818009600 779427079632000 837884110604400 893743051311360 930982345116000 944094772512000 993047834790400 1039236106176000 1047355138255500 1072491661573632 1117178814139200 1191657401748480 1241309793488000 1247083327411200 1258793030016000 1340614576967040 1396473517674000 1489571752185600 1558854159264000 1675768221208800 1787486102622720 1861964690232000 1888189545024000 1986095669580800 2078472212352000 2094710276511000 2144983323147264 2234357628278400 2482619586976000 2681229153934080 2792947035348000 2979143504371200 3117708318528000 3351536442417600 3574972205245440 3723929380464000 3776379090048000 4189420553022000 4468715256556800 4965239173952000 5362458307868160 5585894070696000 5958287008742400 6235416637056000 6703072884835200 7447858760928000 8378841106044000 8937430513113600 9930478347904000 10724916615736320 11171788141392000 13406145769670400 14895717521856000 16757682212088000 17874861026227200 22343576282784000 26812291539340800 29791435043712000 33515364424176000 44687152565568000 53624583078681600 67030728848352000 89374305131136000 134061457696704000 268122915393408000
- Sum of all divisors σ(n): 1028506785170641920
- Sum of proper divisors (its aliquot sum) s(n): 760383869777233920
- 268122915393408000 is an abundant number, because the sum of its proper divisors (760383869777233920) is greater than itself. Its abundance is 492260954383825920
Bases of 268122915393408000
- Binary: 11101110001001000001011110111110000010101010001100000000002
- Hexadecimal: 0x3B8905EF82A8C00
- Base-36: 21C1N2W8PHC0
Squares and roots of 268122915393408000
- 268122915393408000 squared (2681229153934080002) is 71889897759060624643409854464000000
- 268122915393408000 cubed (2681229153934080003) is 19275328974493363238708407938328026584973312000000000
-
The
square root of 268122915393408000 is 517805866.5111935559 -
The
cube root of 268122915393408000 is 644829.1239701719
Scales and comparisons
How big is 268122915393408000?- 268,122,915,393,408,000 seconds is equal to 8,525,479,350 years, 45 weeks, 5 days.
-
To count from 1 to 268,122,915,393,408,000 would take you about twenty-five billion, five hundred seventy-six million, four hundred thirty-eight thousand and fifty-two 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 268122915393408000 cubic inches would be around 53735.8 feet tall.
Recreational maths with 268122915393408000
- 268122915393408000 backwards is 000804393519221862
- The number of decimal digits it has is: 18
- The sum of 268122915393408000's digits is 63
- More coming soon!
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"Number 268122915393408000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 268122915393408000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/268122915393408000/
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The information we have on file for 268122915393408000 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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