242264949146519040
242,264,949,146,519,040 is an even composite number composed of six prime numbers multiplied together.
242264949146519040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 242264949146519040:
29 × 33 × 5 × 7 × 59 × 8486660009
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 59 × 8486660009)See below for interesting mathematical facts about the number 242264949146519040 from the Numbermatics database.
Names of 242264949146519040
- Cardinal: 242264949146519040 can be written as Two hundred forty-two quadrillion, two hundred sixty-four trillion, nine hundred forty-nine billion, one hundred forty-six million, five hundred nineteen thousand and forty.
Scientific notation
- Scientific notation: 2.4226494914651904 × 1017
Factors of 242264949146519040
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 8486660085
Divisors of 242264949146519040
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 59 60 63 64 70 72 80 84 90 96 105 108 112 118 120 126 128 135 140 144 160 168 177 180 189 192 210 216 224 236 240 252 256 270 280 288 295 315 320 336 354 360 378 384 413 420 432 448 472 480 504 512 531 540 560 576 590 630 640 672 708 720 756 768 826 840 864 885 896 944 945 960 1008 1062 1080 1120 1152 1180 1239 1260 1280 1344 1416 1440 1512 1536 1593 1652 1680 1728 1770 1792 1888 1890 1920 2016 2065 2124 2160 2240 2304 2360 2478 2520 2560 2655 2688 2832 2880 3024 3186 3304 3360 3456 3540 3584 3717 3776 3780 3840 4032 4130 4248 4320 4480 4608 4720 4956 5040 5310 5376 5664 5760 6048 6195 6372 6608 6720 6912 7080 7434 7552 7560 7680 7965 8064 8260 8496 8640 8960 9440 9912 10080 10620 10752 11151 11328 11520 12096 12390 12744 13216 13440 13824 14160 14868 15104 15120 15930 16128 16520 16992 17280 17920 18585 18880 19824 20160 21240 22302 22656 23040 24192 24780 25488 26432 26880 28320 29736 30208 30240 31860 32256 33040 33984 34560 37170 37760 39648 40320 42480 44604 45312 48384 49560 50976 52864 53760 55755 56640 59472 60480 63720 66080 67968 69120 74340 75520 79296 80640 84960 89208 90624 96768 99120 101952 105728 111510 113280 118944 120960 127440 132160 135936 148680 151040 158592 161280 169920 178416 198240 203904 211456 223020 226560 237888 241920 254880 264320 271872 297360 317184 339840 356832 396480 407808 446040 453120 475776 483840 509760 528640 594720 634368 679680 713664 792960 815616 892080 951552 1019520 1057280 1189440 1359360 1427328 1585920 1784160 1903104 2039040 2378880 2854656 3171840 3568320 4078080 4757760 5709312 7136640 9515520 14273280 28546560 8486660009 16973320018 25459980027 33946640036 42433300045 50919960054 59406620063 67893280072 76379940081 84866600090 101839920108 118813240126 127299900135 135786560144 152759880162 169733200180 178219860189 203679840216 229139820243 237626480252 254599800270 271573120288 297033100315 305519760324 339466400360 356439720378 381899700405 407359680432 458279640486 475252960504 500712940531 509199600540 534659580567 543146240576 594066200630 611039520648 678932800720 712879440756 763799400810 814719360864 891099300945 916559280972 950505921008 1001425881062 1018399201080 1069319161134 1086292481152 1145699101215 1188132401260 1222079041296 1357865601440 1425758881512 1502138821593 1527598801620 1603978741701 1629438721728 1782198601890 1833118561944 1901011842016 2002851762124 2036798402160 2138638322268 2172584962304 2291398202430 2376264802520 2444158082592 2503564702655 2673297902835 2715731202880 2851517763024 3004277643186 3055197603240 3207957483402 3258877443456 3504990583717 3564397203780 3666237123888 3802023684032 4005703524248 4073596804320 4277276644536 4345169924608 4506416464779 4582796404860 4752529605040 4888316165184 5007129405310 5346595805670 5431462405760 5703035526048 6008555286372 6110395206480 6415914966804 6517754886912 7009981167434 7128794407560 7332474247776 7510694107965 7604047368064 8011407048496 8019893708505 8147193608640 8554553289072 9012832929558 9165592809720 9505059210080 9776632330368 10014258810620 10514971751151 10693191611340 10862924811520 11406071052096 12017110572744 12220790412960 12831829933608 13035509773824 13519249394337 14019962334868 14257588815120 14664948495552 15021388215930 15208094736128 16022814096992 16039787417010 16294387217280 17109106578144 17524952918585 18025665859116 18331185619440 19010118420160 19553264660736 20028517621240 21029943502302 21386383222680 21725849623040 22532082323895 22812142104192 24034221145488 24441580825920 25663659867216 27038498788674 28039924669736 28515177630240 29329896991104 30042776431860 30416189472256 31544915253453 32045628193984 32079574834020 32588774434560 34218213156288 35049905837170 36051331718232 36662371238880 38020236840320 39106529321472 40057035242480 42059887004604 42772766445360 45064164647790 45624284208384 48068442290976 48883161651840 51327319734432 52574858755755 54076997577348 56079849339472 57030355260480 58659793982208 60085552863720 63089830506906 64091256387968 64159149668040 65177548869120 67596246971685 68436426312576 70099811674340 72102663436464 73324742477760 76040473680640 80114070484960 84119774009208 85545532890720 90128329295580 91248568416768 94634745760359 96136884581952 97766323303680 102654639468864 105149717511510 108153995154696 112159698678944 114060710520960 117319587964416 120171105727440 126179661013812 128182512775936 128318299336080 135192493943370 136872852625152 140199623348680 144205326872928 146649484955520 152080947361280 157724576267265 160228140969920 168239548018416 171091065781440 180256658591160 189269491520718 192273769163904 195532646607360 205309278937728 210299435023020 216307990309392 224319397357888 228121421041920 240342211454880 252359322027624 256365025551872 256636598672160 270384987886740 273745705250304 280399246697360 288410653745856 293298969911040 315449152534530 320456281939840 336479096036832 342182131562880 360513317182320 378538983041436 384547538327808 410618557875456 420598870046040 432615980618784 448638794715776 456242842083840 473173728801795 480684422909760 504718644055248 513273197344320 540769975773480 560798493394720 576821307491712 586597939822080 630898305069060 640912563879680 672958192073664 684364263125760 721026634364640 757077966082872 769095076655616 821237115750912 841197740092080 865231961237568 897277589431552 946347457603590 961368845819520 1009437288110496 1026546394688640 1081539951546960 1121596986789440 1153642614983424 1261796610138120 1281825127759360 1345916384147328 1368728526251520 1442053268729280 1514155932165744 1682395480184160 1730463922475136 1794555178863104 1892694915207180 1922737691639040 2018874576220992 2053092789377280 2163079903093920 2243193973578880 2307285229966848 2523593220276240 2691832768294656 2884106537458560 3028311864331488 3364790960368320 3460927844950272 3785389830414360 3845475383278080 4037749152441984 4106185578754560 4326159806187840 4486387947157760 5047186440552480 5383665536589312 5768213074917120 6056623728662976 6729581920736640 6921855689900544 7570779660828720 8075498304883968 8652319612375680 8972775894315520 10094372881104960 11536426149834240 12113247457325952 13459163841473280 15141559321657440 16150996609767936 17304639224751360 20188745762209920 24226494914651904 26918327682946560 30283118643314880 34609278449502720 40377491524419840 48452989829303808 60566237286629760 80754983048839680 121132474573259520 242264949146519040
- Sum of all divisors σ(n): 1000149487514496000
- Sum of proper divisors (its aliquot sum) s(n): 757884538367976960
- 242264949146519040 is an abundant number, because the sum of its proper divisors (757884538367976960) is greater than itself. Its abundance is 515619589221457920
Bases of 242264949146519040
- Binary: 11010111001011001010110000000010110110100000000110000000002
- Hexadecimal: 0x35CB2B00B680600
- Base-36: 1U9FR96Y7PC0
Squares and roots of 242264949146519040
- 242264949146519040 squared (2422649491465190402) is 58692305584965456527725749082521600
- 242264949146519040 cubed (2422649491465190403) is 14219088427833611762146972811068002354250345611264000
-
The
square root of 242264949146519040 is 492204174.2473534121 -
The
cube root of 242264949146519040 is 623395.3067330279
Scales and comparisons
How big is 242264949146519040?- 242,264,949,146,519,040 seconds is equal to 7,703,276,008 years, 8 weeks, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 242,264,949,146,519,040 would take you about twenty-three billion, one hundred nine million, eight hundred twenty-eight thousand and twenty-four 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 242264949146519040 cubic inches would be around 51949.6 feet tall.
Recreational maths with 242264949146519040
- 242264949146519040 backwards is 040915641949462242
- 242264949146519040 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 242264949146519040's digits is 72
- More coming soon!
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The information we have on file for 242264949146519040 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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