242128723584000
242,128,723,584,000 is an even composite number composed of eight prime numbers multiplied together.
242128723584000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, eight hundred sixteen divisors.
Prime factorization of 242128723584000:
210 × 3 × 53 × 11 × 23 × 41 × 89 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 23 × 41 × 89 × 683)See below for interesting mathematical facts about the number 242128723584000 from the Numbermatics database.
Names of 242128723584000
- Cardinal: 242128723584000 can be written as Two hundred forty-two trillion, one hundred twenty-eight billion, seven hundred twenty-three million, five hundred eighty-four thousand.
Scientific notation
- Scientific notation: 2.42128723584 × 1014
Factors of 242128723584000
Divisors of 242128723584000
- Number of divisors d(n): 2816
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 25 30 32 33 40 41 44 46 48 50 55 60 64 66 69 75 80 82 88 89 92 96 100 110 115 120 123 125 128 132 138 150 160 164 165 176 178 184 192 200 205 220 230 240 246 250 253 256 264 267 275 276 300 320 328 330 345 352 356 368 375 384 400 410 440 445 451 460 480 492 500 506 512 528 534 550 552 575 600 615 640 656 660 683 690 704 712 736 750 759 768 800 820 825 880 890 902 920 943 960 979 984 1000 1012 1024 1025 1056 1068 1100 1104 1150 1200 1230 1265 1280 1312 1320 1335 1353 1366 1375 1380 1408 1424 1472 1500 1518 1536 1600 1640 1650 1725 1760 1780 1804 1840 1886 1920 1958 1968 2000 2024 2047 2049 2050 2112 2136 2200 2208 2225 2255 2300 2400 2460 2530 2560 2624 2640 2670 2706 2732 2750 2760 2816 2829 2848 2875 2937 2944 3000 3036 3072 3075 3200 3280 3300 3415 3450 3520 3560 3608 3649 3680 3772 3795 3840 3916 3936 4000 4048 4094 4098 4100 4125 4224 4272 4400 4416 4450 4510 4600 4715 4800 4895 4920 5060 5120 5125 5248 5280 5340 5412 5464 5500 5520 5632 5658 5696 5750 5874 5888 6000 6072 6141 6150 6325 6400 6560 6600 6675 6765 6830 6900 7040 7120 7216 7298 7360 7513 7544 7590 7680 7832 7872 8000 8096 8188 8196 8200 8250 8448 8544 8625 8800 8832 8900 9020 9200 9430 9600 9790 9840 10120 10235 10245 10250 10373 10496 10560 10680 10824 10928 10947 11000 11040 11125 11264 11275 11316 11392 11500 11748 11776 12000 12144 12282 12300 12650 12800 13120 13200 13350 13530 13660 13800 14080 14145 14240 14432 14596 14685 14720 15026 15088 15180 15360 15375 15664 15709 15744 16000 16192 16376 16392 16400 16500 16896 17075 17088 17250 17600 17664 17800 18040 18245 18400 18860 18975 19200 19580 19680 20240 20470 20490 20500 20746 20992 21120 21360 21648 21856 21894 22000 22080 22250 22517 22539 22550 22632 22784 23000 23496 23552 23575 24000 24288 24475 24564 24600 25300 25600 26240 26400 26700 27060 27320 27600 28003 28160 28290 28480 28864 29192 29370 29440 30052 30176 30360 30705 30750 31119 31328 31418 31488 31625 32000 32384 32752 32784 32800 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27205474560 27414937000 27514627680 28072895488 28339036000 28661070500 29348936192 29527893120 29542304000 29571168000 29907204000 30266090448 30758222000 30915312000 31527177550 31901017600 32095536000 32227968000 32897924400 33177408000 33554424000 34006843200 34393284600 35091119360 35450764800 35791385600 36273966080 36686170240 36909866400 37832613060 38281221120 39370524160 39428224000 39876272000 40354787264 41122405500 41220416000 42109343232 42508554000 42794048000 42991605750 43863899200 44023404288 44313456000 44739232000 45342457600 45857712800 46137333000 47244628992 47290766325 47851526400 49213155200 49464499200 50443484080 51352857600 52636679040 53687078400 54410949120 54829874000 55029255360 56678072000 57322141000 58697872384 59055786240 59084608000 59142336000 59814408000 60532180896 61516444000 61830624000 63054355100 63802035200 64191072000 65795848800 66354816000 67108848000 68013686400 68786569200 70182238720 70901529600 73372340480 73819732800 75665226120 78741048320 78817943875 79752544000 80709574528 82244811000 82440832000 84218686464 85017108000 85588096000 85983211500 87727798400 88046808576 88626912000 89478464000 90684915200 91715425600 92274666000 94581532650 95703052800 98426310400 100886968160 105273358080 107374156800 108821898240 109659748000 110058510720 113356144000 114644282000 118111572480 118169216000 118284672000 119628816000 121064361792 123032888000 123661248000 126108710200 128382144000 131591697600 134217696000 136027372800 137573138400 140364477440 146744680960 147639465600 151330452240 157635887750 159505088000 161419149056 164489622000 170034216000 171966423000 175455596800 176093617152 177253824000 178956928000 181369830400 183430851200 184549332000 189163065300 191406105600 196852620800 201773936320 210546716160 219319496000 220117021440 226712288000 229288564000 236223144960 236453831625 239257632000 242128723584 246065776000 247322496000 252217420400 256764288000 263183395200 268435392000 272054745600 275146276800 293489361920 295278931200 302660904480 315271775500 319010176000 322838298112 328979244000 340068432000 343932846000 350911193600 354507648000 366861702400 369098664000 378326130600 393705241600 403547872640 421093432320 438638992000 440234042880 453424576000 458577128000 472907663250 478515264000 484257447168 492131552000 504434840800 526366790400 536870784000 544109491200 550292553600 590557862400 605321808960 630543551000 645676596224 657958488000 680136864000 687865692000 701822387200 733723404800 738197328000 756652261200 807095745280 877277984000 880468085760 906849152000 917154256000 945815326500 957030528000 968514894336 984263104000 1008869681600 1052733580800 1100585107200 1181115724800 1210643617920 1261087102000 1315916976000 1360273728000 1375731384000 1467446809600 1476394656000 1513304522400 1614191490560 1754555968000 1834308512000 1891630653000 1937029788672 1968526208000 2017739363200 2105467161600 2201170214400 2421287235840 2522174204000 2631833952000 2720547456000 2751462768000 2952789312000 3026609044800 3228382981120 3509111936000 3668617024000 3783261306000 4035478726400 4402340428800 4842574471680 5044348408000 5263667904000 5502925536000 5905578624000 6053218089600 7337234048000 7566522612000 8070957452800 9685148943360 10088696816000 10527335808000 11005851072000 12106436179200 15133045224000 16141914905600 20177393632000 22011702144000 24212872358400 30266090448000 40354787264000 48425744716800 60532180896000 80709574528000 121064361792000 242128723584000
- Sum of all divisors σ(n): 951136442081280
- Sum of proper divisors (its aliquot sum) s(n): 709007718497280
- 242128723584000 is an abundant number, because the sum of its proper divisors (709007718497280) is greater than itself. Its abundance is 466878994913280
Bases of 242128723584000
- Binary: 1101110000110110111111001000111100100100000000002
- Hexadecimal: 0xDC36FC8F2400
- Base-36: 2DTSEEFYTC
Squares and roots of 242128723584000
- 242128723584000 squared (2421287235840002) is 58626318784417077805056000000
- 242128723584000 cubed (2421287235840003) is 14195115735699589518429425661640704000000000
-
The
square root of 242128723584000 is 15560485.9687607443 -
The
cube root of 242128723584000 is 62327.8439780975
Scales and comparisons
How big is 242128723584000?- 242,128,723,584,000 seconds is equal to 7,698,944 years, 23 weeks, 5 days, 5 hours, 20 minutes.
-
To count from 1 to 242,128,723,584,000 would take you about nineteen million, two hundred forty-seven thousand, three hundred sixty-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 242128723584000 cubic inches would be around 5194 feet tall.
Recreational maths with 242128723584000
- 242128723584000 backwards is 000485327821242
- 242128723584000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 242128723584000's digits is 48
- More coming soon!
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Cite this page
MLA style:
"Number 242128723584000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 242128723584000 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/242128723584000/
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The information we have on file for 242128723584000 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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