242315990911486800
242,315,990,911,486,800 is an even composite number composed of seven prime numbers multiplied together.
242315990911486800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 242315990911486800:
24 × 32 × 52 × 7 × 11 × 2932 × 31912
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 11 × 293 × 293 × 3191 × 3191)See below for interesting mathematical facts about the number 242315990911486800 from the Numbermatics database.
Names of 242315990911486800
- Cardinal: 242315990911486800 can be written as Two hundred forty-two quadrillion, three hundred fifteen trillion, nine hundred ninety billion, nine hundred eleven million, four hundred eighty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 2.423159909114868 × 1017
Factors of 242315990911486800
Divisors of 242315990911486800
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 28 30 33 35 36 40 42 44 45 48 50 55 56 60 63 66 70 72 75 77 80 84 88 90 99 100 105 110 112 120 126 132 140 144 150 154 165 168 175 176 180 198 200 210 220 225 231 240 252 264 275 280 293 300 308 315 330 336 350 360 385 396 400 420 440 450 462 495 504 525 528 550 560 586 600 616 630 660 693 700 720 770 792 825 840 879 880 900 924 990 1008 1050 1100 1155 1172 1200 1232 1260 1320 1386 1400 1465 1540 1575 1584 1650 1680 1758 1800 1848 1925 1980 2051 2100 2200 2310 2344 2475 2520 2637 2640 2772 2800 2930 3080 3150 3191 3223 3300 3465 3516 3600 3696 3850 3960 4102 4200 4395 4400 4620 4688 4950 5040 5274 5544 5775 5860 6153 6160 6300 6382 6446 6600 6930 7032 7325 7700 7920 8204 8400 8790 9240 9573 9669 9900 10255 10548 11088 11550 11720 12306 12600 12764 12892 13185 13200 13860 14064 14650 15400 15955 16115 16408 17325 17580 18459 18480 19146 19338 19800 20510 21096 21975 22337 22561 23100 23440 24612 25200 25528 25784 26370 27720 28719 29007 29300 30765 30800 31910 32230 32816 34650 35101 35160 36918 38292 38676 39600 41020 42192 43950 44674 45122 46200 47865 48345 49224 51056 51275 51568 52740 55440 57438 58014 58600 61530 63820 64460 65925 67011 67683 69300 70202 70320 73836 76584 77352 79775 80575 82040 85849 87900 89348 90244 92295 92400 95730 96690 98448 102550 105303 105480 111685 112805 114876 116028 117200 123060 127640 128920 131850 134022 135366 138600 140404 143595 145035 147672 153168 153825 154704 159550 161150 164080 171698 175505 175800 178696 180488 184590 191460 193380 201033 203049 205100 210606 210960 223370 225610 229752 232056 239325 241725 245707 246120 255280 257547 257840 263700 268044 270732 277200 280808 287190 290070 295344 307650 315909 319100 322300 335055 338415 343396 351010 351600 357392 360976 369180 382920 386760 402066 406098 410200 421212 429245 446740 451220 459504 461475 464112 478650 483450 491414 492240 515094 526515 527400 536088 541464 558425 561616 564025 574380 580140 600943 615300 631818 638200 644600 670110 676830 686792 702020 717975 725175 737121 738360 765840 772641 773520 804132 812196 820400 842424 858490 877525 893480 902440 922950 934963 944339 957300 966900 982828 1005165 1015245 1030188 1053030 1054800 1072176 1082928 1116850 1128050 1148760 1160280 1201886 1228535 1230600 1263636 1276400 1287735 1289200 1340220 1353660 1373584 1404040 1435950 1450350 1474242 1476720 1545282 1579545 1608264 1624392 1675275 1684848 1692075 1716980 1755050 1786960 1802829 1804880 1845900 1869926 1888678 1914600 1933800 1965656 2010330 2030490 2060376 2106060 2146225 2211363 2233700 2256100 2297520 2320560 2403772 2457070 2461200 2527272 2575470 2632575 2680440 2707320 2804889 2808080 2833017 2871900 2900700 2948484 3004715 3090564 3159090 3216528 3248784 3350550 3384150 3433960 3510100 3605658 3685605 3691800 3739852 3777356 3829200 3863205 3867600 3931312 4020660 4060980 4120752 4212120 4292450 4422726 4467400 4512200 4674815 4721695 4807544 4914140 5025825 5054544 5076225 5150940 5265150 5360880 5408487 5414640 5609778 5666034 5743800 5801400 5896968 6009430 6142675 6181128 6318180 6438675 6544741 6610373 6701100 6768300 6867920 7020200 7211316 7371210 7383600 7479704 7554712 7726410 7897725 8041320 8121960 8414667 8424240 8499051 8584900 8845452 8934800 9014145 9024400 9349630 9443390 9615088 9828280 10051650 10152450 10182481 10284593 10301880 10530300 10816974 11056815 11219556 11332068 11487600 11602800 11793936 12018860 12285350 12362256 12636360 12877350 13089482 13220746 13402200 13536600 14024445 14040400 14165085 14422632 14742420 14959408 15023575 15109424 15452820 15795450 16082640 16243920 16829334 16998102 17169800 17690904 18028290 18428025 18699260 18886780 19316025 19634223 19656560 19831119 20103300 20304900 20364962 20569186 20603760 21060600 21633948 22113630 22439112 22664136 23374075 23608475 24037720 24570700 25272720 25754700 26178964 26441492 26804400 27042435 27073200 28048890 28330170 28845264 29484840 30047150 30547443 30853779 30905640 31590900 32723705 33051865 33658668 33996204 34339600 35381808 36056580 36856050 37398520 37773560 38632050 39268446 39662238 40206600 40609800 40729924 41138372 42073335 42121200 42495255 43267896 44227260 44878224 45070725 45328272 46748150 47216950 48075440 49141400 50912405 51422965 51509400 52357928 52882984 54084870 55284075 56097780 56660340 58902669 58969680 59493357 60094300 61094886 61707558 61811280 63181800 65447410 66103730 67317336 67992408 70122225 70825425 71277367 71992151 72113160 73712100 74797040 75547120 77264100 78536892 79324476 80413200 81219600 81459848 82276744 84146670 84990510 86535792 88454520 90141450 91642329 92561337 93496300 94433900 98171115 98282800 99155595 101824810 102845930 103018800 104715856 105765968 108169740 110568150 112007291 112195560 113320680 117805338 118986714 120188600 122189772 123415116 126363600 130894820 132207460 134634672 135212175 135984816 140244450 141650850 142554734 143984302 144226320 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1808031449400 1837815630728 1879584167790 1898433021870 1969088175780 2067542584569 2088426853100 2109370024300 2148096191760 2169637739280 2297269538410 2301130935600 2362905810936 2461360219725 2506112223720 2531244029160 2622467434107 2625450901040 2685120239700 2712047174100 2756723446092 2822583733200 2953632263670 3007334668464 3037492834992 3132640279650 3164055036450 3281813626300 3445904307615 3451696403400 3496623245476 3580160319600 3616062898800 3675631261456 3759168335580 3796866043740 3938176351560 4135085169138 4176853706200 4218740048600 4370779056845 4594539076820 4698960419475 4725811621872 4746082554675 4922720439450 5012224447440 5062488058320 5244934868214 5370240479400 5424094348200 5513446892184 5743173846025 5907264527340 6119090679583 6265280559300 6328110072900 6563627252600 6891808615230 6903392806800 6993246490952 7384080659175 7518336671160 7593732087480 7867402302321 7876352703120 8270170338276 8353707412400 8437480097200 8741558113690 9189078153640 9397920838950 9492165109350 9615713925059 9845440878900 10337712922845 10489869736428 10740480958800 10848188696400 11026893784368 11486347692050 11814529054680 12238181359166 12530561118600 12656220145800 13112337170535 13127254505200 13783617230460 13986492981904 14768161318350 15036673342320 15187464174960 15734804604642 16540340676552 17229521538075 17483116227380 18357272038749 18378156307280 18795841677900 18984330218700 19231427850118 19690881757800 20675425845690 20979739472856 21853895284225 22972695384100 23629058109360 24476362718332 25061122237200 25312440291600 26224674341070 27567234460920 28847141775177 29536322636700 30595453397915 31469609209284 33080681353104 34459043076150 34966232454760 36714544077498 37591683355800 37968660437400 38462855700236 39337011511605 39381763515600 41350851691380 41959478945712 43707790568450 45945390768200 48078569625295 48952725436664 51688564614225 52449348682140 55071816116247 55134468921840 57694283550354 59072645273400 61190906795830 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458931800968725 461554268402832 480785696252950 489527254366640 524493486821400 538479979803304 550718161162470 576942835503540 605789977278717 611909067958300 629392184185680 673099974754130 692331402604248 721178544379425 734290881549960 769257114004720 786740230232100 807719969704956 827017033827600 865414253255310 881149057859952 917863601937450 961571392505900 1009649962131195 1048986973642800 1076959959606608 1101436322324940 1153885671007080 1211579954557434 1223818135916600 1346199949508260 1376795402906175 1384662805208496 1442357088758850 1468581763099920 1573480460464200 1615439939409912 1682749936885325 1730828506510620 1835727203874900 1923142785011800 2019299924262390 2163535633138275 2202872644649880 2307771342014160 2423159909114868 2447636271833200 2692399899016520 2753590805812350 2884714177517700 3028949886393585 3146960920928400 3230879878819824 3365499873770650 3461657013021240 3671454407749800 3846285570023600 4038599848524780 4327071266276550 4405745289299760 4846319818229736 5048249810655975 5384799798033040 5507181611624700 5769428355035400 6057899772787170 6730999747541300 6923314026042480 7342908815499600 8077199697049560 8654142532553100 9692639636459472 10096499621311950 11014363223249400 11538856710070800 12115799545574340 13461999495082600 15144749431967925 16154399394099120 17308285065106200 20192999242623900 22028726446498800 24231599091148680 26923998990165200 30289498863935850 34616570130212400 40385998485247800 48463198182297360 60578997727871700 80771996970495600 121157995455743400 242315990911486800
- Sum of all divisors σ(n): 1052319685870351392
- Sum of proper divisors (its aliquot sum) s(n): 810003694958864592
- 242315990911486800 is an abundant number, because the sum of its proper divisors (810003694958864592) is greater than itself. Its abundance is 567687704047377792
Bases of 242315990911486800
- Binary: 11010111001110000100011100001000011010110100001011010100002
- Hexadecimal: 0x35CE11C21AD0B50
- Base-36: 1U9XULGF7SK0
Squares and roots of 242315990911486800
- 242315990911486800 squared (2423159909114868002) is 58717039451415753458672186574240000
- 242315990911486800 cubed (2423159909114868003) is 14228077598058671595978775564835717687156980032000000
-
The
square root of 242315990911486800 is 492256021.7117580371 -
The
cube root of 242315990911486800 is 623439.0838215491
Scales and comparisons
How big is 242315990911486800?- 242,315,990,911,486,800 seconds is equal to 7,704,898,978 years, 21 weeks, 3 days, 5 hours.
-
To count from 1 to 242,315,990,911,486,800 would take you about twenty-three billion, one hundred fourteen million, six hundred ninety-six thousand, nine hundred thirty-five 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 242315990911486800 cubic inches would be around 51953.3 feet tall.
Recreational maths with 242315990911486800
- 242315990911486800 backwards is 008684119099513242
- 242315990911486800 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 242315990911486800's digits is 72
- More coming soon!
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"Number 242315990911486800 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 242315990911486800 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/242315990911486800/
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The information we have on file for 242315990911486800 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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