138048126129952200
138,048,126,129,952,200 is an even composite number composed of five prime numbers multiplied together.
138048126129952200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 138048126129952200:
23 × 314 × 52 × 412 × 2932
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 41 × 41 × 293 × 293)See below for interesting mathematical facts about the number 138048126129952200 from the Numbermatics database.
Names of 138048126129952200
- Cardinal: 138048126129952200 can be written as One hundred thirty-eight quadrillion, forty-eight trillion, one hundred twenty-six billion, one hundred twenty-nine million, nine hundred fifty-two thousand, two hundred.
Scientific notation
- Scientific notation: 1.380481261299522 × 1017
Factors of 138048126129952200
Divisors of 138048126129952200
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 41 45 50 54 60 72 75 81 82 90 100 108 120 123 135 150 162 164 180 200 205 216 225 243 246 270 293 300 324 328 360 369 405 410 450 486 492 540 586 600 615 648 675 729 738 810 820 879 900 972 984 1025 1080 1107 1172 1215 1230 1350 1458 1465 1476 1620 1640 1681 1758 1800 1845 1944 2025 2050 2187 2214 2344 2430 2460 2637 2700 2916 2930 2952 3075 3240 3321 3362 3516 3645 3690 4050 4100 4374 4395 4428 4860 4920 5043 5274 5400 5535 5832 5860 6075 6150 6561 6642 6724 7032 7290 7325 7380 7911 8100 8200 8405 8748 8790 8856 9225 9720 9963 10086 10548 10935 11070 11720 12013 12150 12300 13122 13185 13284 13448 14580 14650 14760 15129 15822 16200 16605 16810 17496 17580 18225 18450 19683 19926 20172 21096 21870 21975 22140 23733 24026 24300 24600 25215 26244 26370 26568 27675 29160 29300 29889 30258 31644 32805 33210 33620 35160 36039 36450 36900 39366 39555 39852 40344 42025 43740 43950 44280 45387 47466 48052 48600 49815 50430 52488 52740 54675 55350 58600 59049 59778 60065 60516 63288 65610 65925 66420 67240 71199 72078 72900 73800 75645 78732 79110 79704 83025 84050 85849 87480 87900 89667 90774 94932 96104 98415 99630 100860 105480 108117 109350 110700 118098 118665 119556 120130 121032 126075 131220 131850 132840 136161 142398 144156 145800 149445 151290 157464 158220 164025 166050 168100 171698 175800 177147 179334 180195 181548 189864 196830 197775 199260 201720 213597 216234 218700 221400 226935 236196 237330 239112 240260 249075 252150 257547 262440 263700 269001 272322 284796 288312 295245 298890 300325 302580 316440 324351 328050 332100 336200 343396 354294 355995 358668 360390 363096 378225 393660 395550 398520 408483 427194 429245 432468 437400 448335 453870 472392 474660 480520 492075 492533 498150 504300 515094 527400 531441 538002 540585 544644 569592 590490 593325 597780 600650 605160 640791 648702 656100 664200 680805 686792 708588 711990 717336 720780 747225 756450 772641 787320 791100 807003 816966 854388 858490 864936 885735 896670 900975 907740 949320 973053 984150 985066 996300 1008600 1030188 1062882 1067985 1076004 1081170 1089288 1134675 1180980 1186650 1195560 1201300 1225449 1281582 1287735 1297404 1312200 1345005 1361610 1417176 1423980 1441560 1476225 1477599 1494450 1512900 1545282 1582200 1594323 1614006 1621755 1633932 1708776 1716980 1771470 1779975 1793340 1801950 1815480 1922373 1946106 1968300 1970132 1992600 2042415 2060376 2125764 2135970 2146225 2152008 2162340 2241675 2269350 2317923 2361960 2373300 2402600 2421009 2450898 2462665 2563164 2575470 2594808 2657205 2690010 2702925 2723220 2847960 2919159 2952450 2955198 2988900 3025800 3090564 3188646 3203955 3228012 3243510 3267864 3404025 3433960 3519809 3542940 3559950 3586680 3603900 3676347 3844746 3863205 3892212 3936600 3940264 4035015 4084830 4251528 4271940 4292450 4324680 4428675 4432797 4483350 4538700 4635846 4746600 4782969 4842018 4865265 4901796 4925330 5126328 5150940 5314410 5339925 5380020 5405850 5446440 5767119 5838318 5904900 5910396 5977800 6127245 6181128 6377292 6407910 6438675 6456024 6487020 6725025 6808050 6953769 7039618 7085880 7119900 7207800 7263027 7352694 7387995 7689492 7726410 7784424 7971615 8070030 8108775 8169660 8543880 8584900 8757477 8857350 8865594 8966700 9077400 9271692 9565938 9611865 9684036 9730530 9803592 9850660 10212075 10301880 10559427 10628820 10679850 10760040 10811700 11029041 11534238 11589615 11676636 11809800 11820792 12105045 12254490 12313325 12754584 12815820 12877350 12974040 13286025 13298391 13450050 13616100 13907538 14079236 14239800 14526054 14595795 14705388 14775990 15378984 15452820 15943230 16019775 16140060 16217550 16339320 17169800 17301357 17514954 17599045 17714700 17731188 17933400 18381735 18543384 19131876 19223730 19316025 19368072 19461060 19701320 20175075 20424150 20861307 21118854 21257640 21359700 21623400 21789081 22058082 22163985 23068476 23179230 23353272 23914845 24210090 24326325 24508980 24626650 25631640 25754700 26272431 26572050 26596782 26900100 27232200 27815076 28158472 28835595 29052108 29191590 29410776 29551980 30636225 30905640 31678281 31886460 32039550 32280120 32435100 33087123 34602714 34768845 35029908 35198090 35429400 35462376 36315135 36763470 36939975 38263752 38447460 38632050 38922120 39858075 39895173 40350150 40848300 41722614 42237708 42719400 43578162 43787385 44116164 44327970 46136952 46358460 47829690 48059325 48420180 48652650 49017960 49253300 51509400 51904071 52544862 52797135 53144100 53193564 53800200 55145205 55630152 57671190 57948075 58104216 58383180 59103960 60525225 61272450 62583921 63356562 63772920 64079100 64870200 65367243 66174246 66491955 69205428 69537690 70059816 70396180 72630270 72978975 73526940 73879950 76894920 77264100 78817293 79716150 79790346 80700300 81696600 83445228 84475416 86506785 87156324 87574770 87995225 88232328 88655940 91908675 92716920 95034843 95659380 96118650 96840360 97305300 98506600 99261369 103808142 104306535 105089724 105594270 106288200 106387128 108945405 110290410 110819925 115342380 115896150 116766360 119574225 119685519 121050450 122544900 125167842 126713124 128158200 130734486 131362155 132348492 132983910 138410856 139075380 140792360 144177975 144312169 145260540 145957950 147053880 147759900 154528200 155712213 157634586 158391405 159432300 159580692 161400600 165435615 166890456 173013570 173844225 174312648 175149540 175990450 177311880 181575675 183817350 187751763 190069686 191318760 192237300 194610600 196101729 198522738 199475865 207616284 208613070 210179448 211188540 217890810 218936925 220580820 221639850 230684760 231792300 236451879 239148450 239371038 242100900 245089800 250335684 253426248 259520355 261468972 262724310 263985675 264696984 265967820 275726025 278150760 285104529 288355950 288624338 290521080 291915900 295519800 297784107 311424426 312919605 315269172 316782810 318864600 319161384 326836215 330871230 332459775 346027140 347688450 350299080 351980900 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37550352600 38305204398 38489111415 38778108156 38964285630 39220345800 40200854445 40554380808 42244146675 42561338220 42765679350 43086786840 43293650700 44667616050 45623678409 46186933698 46713663900 46757142756 47290375800 48472635195 50692976010 51073605864 51318815220 51952380840 53201672775 53601139260 53858483550 56056396680 56325528900 57020905800 57457806597 58167162234 58446428445 59556821400 60831571212 61582578264 63842007330 64148519025 64321367112 64630180260 64940476050 67001424075 67590634680 69280400547 70070495850 70135714134 70935563700 71811311400 76039464015 76610408796 76978222830 77556216312 77928571260 80401708890 80787725325 84488293350 85122676440 85531358700 86587301400 87250743351 89335232100 91247356818 92373867396 93427327800 93514285512 95763010995 96945270390 97410714075 101385952020 102637630440 105203571201 106403345550 107202278520 107716967100 112651057800 114915613194 115467334245 116334324468 116892856890 121663142424 126732440025 127684014660 128297038050 129260360520 129880952100 134002848150 136871035227 138560801094 140140991700 140271428268 141871127400 145417905585 152078928030 153220817592 153956445660 155857142520 159605018325 160803417780 161575450650 168976586700 171062717400 174501486702 175339285335 178670464200 182494713636 184747734792 191526021990 192445557075 193890540780 194821428150 201004272225 202771904040 207841201641 210407142402 212806691100 215433934200 228118392045 229831226388 230934668490 232668648936 233785713780 242363175975 253464880050 255368029320 256594076100 259761904200 261752230053 268005696300 273742070454 277121602188 280281983400 280542856536 287289032985 290835811170 292232142225 304157856060 307912891320 315610713603 319210036650 321606835560 323150901300 337953173400 346402002735 349002973404 350678570670 364989427272 380197320075 383052043980 384891114150 387781081560 389642856300 402008544450 410613105681 415682403282 420814284804 425613382200 436253716755 456236784090 459662452776 461869336980 467571427560 478815054975 484726351950 506929760100 513188152200 523504460106 526017856005 536011392600 547484140908 554243204376 574578065970 577336671225 581671622340 584464284450 608315712120 623523604923 631221427206 638420073300 646301802600 684355176135 692804005470 698005946808 701357141340 727089527925 760394640150 766104087960 769782228300 779285712600 785256690159 804017088900 821226211362 831364806564 841628569608 872507433510 876696426675 912473568180 923738673960 946832140809 957630109950 969452703900 1013859520200 1039206008205 1047008920212 1052035712010 1094968281816 1140591960225 1149156131940 1154673342450 1163343244680 1168928568900 1247047209846 1262442854412 1276840146600 1308761150265 1368710352270 1385608010940 1402714282680 1436445164925 1454179055850 1520789280300 1539564456600 1570513380318 1578053568015 1608034177800 1642452422724 1662729613128 1732010013675 1745014867020 1753392853350 1824947136360 1870570814769 1893664281618 1915260219900 1938905407800 2053065528405 2078412016410 2094017840424 2104071424020 2181268583775 2281183920450 2298312263880 2309346684900 2337857137800 2355770070477 2494094419692 2524885708824 2617522300530 2630089280025 2737420704540 2771216021880 2840496422427 2872890329850 2908358111700 3041578560600 3117618024615 3141026760636 3156107136030 3284904845448 3421775880675 3464020027350 3490029734040 3506785706700 3741141629538 3787328563236 3830520439800 3926283450795 4106131056810 4156824032820 4208142848040 4362537167550 4562367840900 4618693369800 4711540140954 4734160704045 4988188839384 5196030041025 5235044601060 5260178560050 5474841409080 5611712444307 5680992844854 5745780659700 5816716223400 6235236049230 6282053521272 6312214272060 6543805751325 6843551761350 6928040054700 7013571413400 7482283259076 7574657126472 7852566901590 7890267840075 8212262113620 8313648065640 8521489267281 8725074335100 9124735681800 9352854073845 9423080281908 9468321408090 10265327642025 10392060082050 10470089202120 10520357120100 11223424888614 11361985689708 11491561319400 11778850352385 12470472098460 12624428544120 13087611502650 13687103522700 13856080109400 14202482112135 14964566518152 15588090123075 15705133803180 15780535680150 16424524227240 16835137332921 17042978534562 17450148670200 18705708147690 18846160563816 18936642816180 19631417253975 20530655284050 20784120164100 21040714240200 22446849777228 22723971379416 23557700704770 23670803520225 24940944196920 25564467801843 26175223005300 27374207045400 28058562221535 28404964224270 31176180246150 31410267606360 31561071360300 33670274665842 34085957069124 37411416295380 37873285632360 39262834507950 41061310568100 41568240328200 42607446336405 44893699554456 46764270369225 47115401409540 47341607040450 51128935603686 52350446010600 56117124443070 56809928448540 58894251761925 62352360492300 63122142720600 67340549331684 68171914138248 71012410560675 74822832590760 76693403405529 78525669015900 82122621136200 84175686664605 85214892672810 93528540738450 94230802819080 94683214080900 102257871207372 112234248886140 113619856897080 117788503523850 124704720984600 127822339009215 134681098663368 140292811107675 142024821121350 153386806811058 157051338031800 168351373329210 170429785345620 187057081476900 189366428161800 204515742414744 213037231682025 224468497772280 230080210216587 235577007047700 255644678018430 280585622215350 284049642242700 306773613622116 336702746658420 340859570691240 374114162953800 383467017027645 420878433323025 426074463364050 460160420433174 471154014095400 511289356036860 561171244430700 568099284485400 613547227244232 639111695046075 673405493316840 690240630649761 766934034055290 841756866646050 852148926728100 920320840866348 1022578712073720 1122342488861400 1150401051082935 1278223390092150 1380481261299522 1533868068110580 1683513733292100 1704297853456200 1840641681732696 1917335085138225 2300802102165870 2556446780184300 2760962522599044 3067736136221160 3367027466584200 3451203153248805 3834670170276450 4601604204331740 5112893560368600 5521925045198088 5752005255414675 6902406306497610 7669340340552900 9203208408663480 11504010510829350 13804812612995220 15338680681105800 17256015766244025 23008021021658700 27609625225990440 34512031532488050 46016042043317400 69024063064976100 138048126129952200
- Sum of all divisors σ(n): 495161668364410905
- Sum of proper divisors (its aliquot sum) s(n): 357113542234458705
- 138048126129952200 is an abundant number, because the sum of its proper divisors (357113542234458705) is greater than itself. Its abundance is 219065416104506505
Bases of 138048126129952200
- Binary: 1111010100111001000001010000011111110001001010101110010002
- Hexadecimal: 0x1EA720A0FE255C8
- Base-36: 11R9Z5N4S4I0
Squares and roots of 138048126129952200
- 138048126129952200 squared (1380481261299522002) is 19057285127991191376041974284840000
- 138048126129952200 cubed (1380481261299522003) is 2630822501043390242379692747300034060498384648000000
-
The
square root of 138048126129952200 is 371548282.3671133595 -
The
cube root of 138048126129952200 is 516824.9904669507
Scales and comparisons
How big is 138048126129952200?- 138,048,126,129,952,200 seconds is equal to 4,389,503,400 years, 2 weeks, 1 day, 4 hours, 30 minutes.
-
To count from 1 to 138,048,126,129,952,200 would take you about thirteen billion, one hundred sixty-eight million, five hundred ten thousand, two hundred 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 138048126129952200 cubic inches would be around 43068.7 feet tall.
Recreational maths with 138048126129952200
- 138048126129952200 backwards is 002259921621840831
- The number of decimal digits it has is: 18
- The sum of 138048126129952200's digits is 63
- More coming soon!
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"Number 138048126129952200 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 138048126129952200 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/138048126129952200/
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The information we have on file for 138048126129952200 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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