148042175978050200
148,042,175,978,050,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 148042175978050200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
148042175978050200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 148042175978050200:
23 × 34 × 52 × 7 × 11 × 118680596423
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 11 × 118680596423)See below for interesting mathematical facts about the number 148042175978050200 from the Numbermatics database.
Names of 148042175978050200
- Cardinal: 148042175978050200 can be written as One hundred forty-eight quadrillion, forty-two trillion, one hundred seventy-five billion, nine hundred seventy-eight million, fifty thousand, two hundred.
Scientific notation
- Scientific notation: 1.480421759780502 × 1017
Factors of 148042175978050200
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 118680596451
Divisors of 148042175978050200
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 18 20 21 22 24 25 27 28 30 33 35 36 40 42 44 45 50 54 55 56 60 63 66 70 72 75 77 81 84 88 90 99 100 105 108 110 120 126 132 135 140 150 154 162 165 168 175 180 189 198 200 210 216 220 225 231 252 264 270 275 280 297 300 308 315 324 330 350 360 378 385 396 405 420 440 450 462 495 504 525 540 550 567 594 600 616 630 648 660 675 693 700 756 770 792 810 825 840 891 900 924 945 990 1050 1080 1100 1134 1155 1188 1260 1320 1350 1386 1400 1485 1512 1540 1575 1620 1650 1782 1800 1848 1890 1925 1980 2025 2079 2100 2200 2268 2310 2376 2475 2520 2700 2772 2835 2970 3080 3150 3240 3300 3465 3564 3780 3850 3960 4050 4158 4200 4455 4536 4620 4725 4950 5400 5544 5670 5775 5940 6237 6300 6600 6930 7128 7425 7560 7700 8100 8316 8910 9240 9450 9900 10395 11340 11550 11880 12474 12600 13860 14175 14850 15400 16200 16632 17325 17820 18900 19800 20790 22275 22680 23100 24948 27720 28350 29700 31185 34650 35640 37800 41580 44550 46200 49896 51975 56700 59400 62370 69300 83160 89100 103950 113400 124740 138600 155925 178200 207900 249480 311850 415800 623700 1247400 118680596423 237361192846 356041789269 474722385692 593402982115 712083578538 830764174961 949444771384 1068125367807 1186805964230 1305486560653 1424167157076 1661528349922 1780208946345 2136250735614 2373611928460 2492292524883 2610973121306 2848334314152 2967014910575 3204376103421 3323056699844 3560417892690 3916459681959 4153820874805 4272501471228 4747223856920 4984585049766 5221946242612 5340626839035 5934029821150 6408752206842 6527432803265 6646113399688 7120835785380 7476877574649 7832919363918 8307641749610 8545002942456 8901044731725 9138405924571 9613128310263 9969170099532 10443892485224 10681253678070 11749379045877 11868059642300 12461462624415 12817504413684 13054865606530 14241671570760 14953755149298 15665838727836 16021880517105 16615283499220 17802089463450 18276811849142 19226256620526 19582298409795 19938340199064 20769104374025 21362507356140 22430632723947 23498758091754 23736119284600 24922925248830 25635008827368 26109731213060 26703134195175 27415217773713 29907510298596 31331677455672 32043761034210 32637164016325 33230566998440 35248137137631 35604178926900 36553623698284 37384387873245 38452513241052 39164596819590 41538208748050 42725014712280 44861265447894 45692029622855 46997516183508 48065641551315 49845850497660 52219462426120 53406268390350 54830435547426 58746895229385 59815020597192 62307313122075 64087522068420 65274328032650 67291898171841 70496274275262 71208357853800 73107247396568 74768775746490 76905026482104 78329193639180 80109402585525 82245653321139 83076417496100 89722530895788 91384059245710 93995032367016 96131283102630 97911492048975 99691700995320 105744411412893 106812536780700 109660871094852 112153163619735 117493790458770 124614626244150 128175044136840 130548656065300 134583796343682 137076088868565 140992548550524 149537551492980 156658387278360 160218805171050 164491306642278 166152834992200 176240685688155 179445061791576 182768118491420 186921939366225 192262566205260 195822984097950 211488822825786 213625073561400 219321742189704 224306327239470 228460148114275 234987580917540 240328207756575 246736959963417 249229252488300 261097312130600 269167592687364 274152177737130 281985097101048 293734476146925 299075102985960 320437610342100 328982613284556 336459490859205 352481371376310 365536236982840 373843878732450 384525132410520 391645968195900 411228266605695 422977645651572 448612654478940 456920296228550 469975161835080 480656415513150 493473919926834 498458504976600 528722057064465 538335185374728 548304355474260 560765818098675 587468952293850 640875220684200 657965226569112 672918981718410 685380444342825 704962742752620 740210879890251 747687757464900 783291936391800 822456533211390 845955291303144 881203428440775 897225308957880 913840592457100 961312831026300 986947839853668 1057444114128930 1096608710948520 1121531636197350 1174937904587700 1233684799817085 1345837963436820 1370760888685650 1409925485505240 1480421759780502 1495375514929800 1644913066422780 1682297454296025 1762406856881550 1827681184914200 1922625662052600 1973895679707336 2056141333028475 2114888228257860 2243063272394700 2349875809175400 2467369599634170 2643610285322325 2691675926873640 2741521777371300 2960843519561004 3289826132845560 3364594908592050 3524813713763100 3701054399451255 4112282666056950 4229776456515720 4486126544789400 4934739199268340 5287220570644650 5483043554742600 5921687039122008 6168423999085425 6729189817184100 7049627427526200 7402108798902510 8224565332113900 9869478398536680 10574441141289300 12336847998170850 13458379634368200 14804217597805020 16449130664227800 18505271997256275 21148882282578600 24673695996341700 29608435195610040 37010543994512550 49347391992683400 74021087989025100 148042175978050200
- Sum of all divisors σ(n): 641046120748450560
- Sum of proper divisors (its aliquot sum) s(n): 493003944770400360
- 148042175978050200 is an abundant number, because the sum of its proper divisors (493003944770400360) is greater than itself. Its abundance is 344961768792350160
Bases of 148042175978050200
- Binary: 10000011011111001110010011000111101111001010010010100110002
- Hexadecimal: 0x20DF3931EF29298
- Base-36: 14HOKKRDM9I0
Squares and roots of 148042175978050200
- 148042175978050200 squared (1480421759780502002) is 21916485868315983690952193720040000
- 148042175978050200 cubed (1480421759780502003) is 3244564257737685199676712091468593945323866008000000
-
The
square root of 148042175978050200 is 384762492.9460383357 -
The
cube root of 148042175978050200 is 529007.4886442077
Scales and comparisons
How big is 148042175978050200?- 148,042,175,978,050,200 seconds is equal to 4,707,283,271 years, 30 weeks, 3 days, 1 hour, 30 minutes.
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To count from 1 to 148,042,175,978,050,200 would take you about fourteen billion, one hundred twenty-one million, eight hundred forty-nine thousand, eight hundred fourteen 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 148042175978050200 cubic inches would be around 44084 feet tall.
Recreational maths with 148042175978050200
- 148042175978050200 backwards is 002050879571240841
- 148042175978050200 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 148042175978050200's digits is 63
- More coming soon!
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The information we have on file for 148042175978050200 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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