129337760157133248000
129,337,760,157,133,248,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 129337760157133248000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
129337760157133248000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 129337760157133248000:
29 × 32 × 53 × 7 × 1303 × 24618432463
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 1303 × 24618432463)See below for interesting mathematical facts about the number 129337760157133248000 from the Numbermatics database.
Names of 129337760157133248000
- Cardinal: 129337760157133248000 can be written as One hundred twenty-nine quintillion, three hundred thirty-seven quadrillion, seven hundred sixty trillion, one hundred fifty-seven billion, one hundred thirty-three million, two hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.29337760157133248 × 1020
Factors of 129337760157133248000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 24618433783
Divisors of 129337760157133248000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 70 72 75 80 84 90 96 100 105 112 120 125 126 128 140 144 150 160 168 175 180 192 200 210 224 225 240 250 252 256 280 288 300 315 320 336 350 360 375 384 400 420 448 450 480 500 504 512 525 560 576 600 630 640 672 700 720 750 768 800 840 875 896 900 960 1000 1008 1050 1120 1125 1152 1200 1260 1280 1303 1344 1400 1440 1500 1536 1575 1600 1680 1750 1792 1800 1920 2000 2016 2100 2240 2250 2304 2400 2520 2560 2606 2625 2688 2800 2880 3000 3150 3200 3360 3500 3584 3600 3840 3909 4000 4032 4200 4480 4500 4608 4800 5040 5212 5250 5376 5600 5760 6000 6300 6400 6515 6720 7000 7200 7680 7818 7875 8000 8064 8400 8960 9000 9121 9600 10080 10424 10500 10752 11200 11520 11727 12000 12600 12800 13030 13440 14000 14400 15636 15750 16000 16128 16800 17920 18000 18242 19200 19545 20160 20848 21000 22400 23040 23454 24000 25200 26060 26880 27363 28000 28800 31272 31500 32000 32256 32575 33600 36000 36484 38400 39090 40320 41696 42000 44800 45605 46908 48000 50400 52120 53760 54726 56000 57600 58635 62544 63000 64000 65150 67200 72000 72968 78180 80640 82089 83392 84000 89600 91210 93816 96000 97725 100800 104240 109452 112000 115200 117270 125088 126000 130300 134400 136815 144000 145936 156360 161280 162875 164178 166784 168000 182420 187632 192000 195450 201600 208480 218904 224000 228025 234540 250176 252000 260600 268800 273630 288000 291872 293175 312720 325750 328356 333568 336000 364840 375264 390900 403200 410445 416960 437808 448000 456050 469080 488625 500352 504000 521200 547260 576000 583744 586350 625440 651500 656712 667136 672000 684075 729680 750528 781800 806400 820890 833920 875616 912100 938160 977250 1000704 1008000 1042400 1094520 1140125 1167488 1172700 1250880 1303000 1313424 1344000 1368150 1459360 1465875 1501056 1563600 1641780 1667840 1751232 1824200 1876320 1954500 2001408 2016000 2052225 2084800 2189040 2280250 2334976 2345400 2501760 2606000 2626848 2736300 2918720 2931750 3002112 3127200 3283560 3335680 3420375 3502464 3648400 3752640 3909000 4032000 4104450 4169600 4378080 4560500 4669952 4690800 5003520 5212000 5253696 5472600 5837440 5863500 6004224 6254400 6567120 6840750 7004928 7296800 7505280 7818000 8208900 8339200 8756160 9121000 9381600 10007040 10261125 10424000 10507392 10945200 11674880 11727000 12508800 13134240 13681500 14009856 14593600 15010560 15636000 16417800 16678400 17512320 18242000 18763200 20522250 20848000 21014784 21890400 23349760 23454000 25017600 26268480 27363000 29187200 30021120 31272000 32835600 35024640 36484000 37526400 41044500 41696000 42029568 43780800 46908000 50035200 52536960 54726000 58374400 62544000 65671200 70049280 72968000 75052800 82089000 83392000 87561600 93816000 105073920 109452000 116748800 125088000 131342400 145936000 150105600 164178000 175123200 187632000 210147840 218904000 250176000 262684800 291872000 328356000 350246400 375264000 437808000 525369600 583744000 656712000 750528000 875616000 1050739200 1313424000 1751232000 2626848000 5253696000 24618432463 49236864926 73855297389 98473729852 123092162315 147710594778 172329027241 196947459704 221565892167 246184324630 295421189556 344658054482 369276486945 393894919408 443131784334 492368649260 516987081723 590842379112 615460811575 689316108964 738552973890 787789838816 861645136205 886263568668 984737298520 1033974163446 1107829460835 1181684758224 1230921623150 1378632217928 1477105947780 1550961245169 1575579677632 1723290272410 1772527137336 1846382434725 1969474597040 2067948326892 2215658921670 2363369516448 2461843246300 2584935408615 2757264435856 2954211895560 3077304057875 3101922490338 3151159355264 3446580544820 3545054274672 3692764869450 3938949194080 4135896653784 4308225681025 4431317843340 4726739032896 4923686492600 5169870817230 5514528871712 5539147304175 5908423791120 6154608115750 6203844980676 6302318710528 6893161089640 7090108549344 7385529738900 7754806225845 7877898388160 8271793307568 8616451362050 8862635686680 9231912173625 9453478065792 9847372985200 10339741634460 11029057743424 11078294608350 11816847582240 12309216231500 12407689961352 12604637421056 12924677043075 13786322179280 14180217098688 14771059477800 15509612451690 15755796776320 16543586615136 17232902724100 17725271373360 18463824347250 18906956131584 19694745970400 20679483268920 21541128405125 22058115486848 22156589216700 23633695164480 24618432463000 24815379922704 25849354086150 27572644358560 27695736520875 28360434197376 29542118955600 31019224903380 31511593552640 32077817499289 33087173230272 34465805448200 35450542746720 36927648694500 37813912263168 38774031129225 39389491940800 41358966537840 43082256810250 44116230973696 44313178433400 47267390328960 49236864926000 49630759845408 51698708172300 55145288717120 55391473041750 56720868394752 59084237911200 62038449806760 63023187105280 64155634998578 64623385215375 66174346460544 68931610896400 70901085493440 73855297389000 77548062258450 78778983881600 82717933075680 86164513620500 88232461947392 88626356866800 94534780657920 96233452497867 98473729852000 99261519690816 103397416344600 110290577434240 110782946083500 113441736789504 118168475822400 124076899613520 128311269997156 129246770430750 132348692921088 137863221792800 141802170986880 147710594778000 155096124516900 157557967763200 160389087496445 165435866151360 172329027241000 177252713733600 189069561315840 192466904995734 193870155646125 196947459704000 198523039381632 206794832689200 220581154868480 221565892167000 224544722495023 236336951644800 248153799227040 256622539994312 258493540861500 264697385842176 275726443585600 283604341973760 288700357493601 295421189556000 310192249033800 315115935526400 320778174992890 330871732302720 344658054482000 354505427467200 384933809991468 387740311292250 393894919408000 397046078763264 413589665378400 441162309736960 443131784334000 449089444990046 472673903289600 481167262489335 496307598454080 513245079988624 516987081723000 551452887171200 567208683947520 577400714987202 590842379112000 620384498067600 641556349985780 661743464605440 673634167485069 689316108964000 709010854934400 769867619982936 775480622584500 787789838816000 794092157526528 801945437482225 827179330756800 886263568668000 898178889980092 945347806579200 962334524978670 992615196908160 1026490159977248 1033974163446000 1102905774342400 1122723612475115 1154801429974404 1181684758224000 1240768996135200 1283112699971560 1323486929210880 1347268334970138 1378632217928000 1418021709868800 1443501787468005 1539735239965872 1550961245169000 1575579677632000 1603890874964450 1654358661513600 1772527137336000 1796357779960184 1924669049957340 1985230393816320 2020902502455207 2052980319954496 2067948326892000 2205811548684800 2245447224950230 2309602859948808 2363369516448000 2405836312446675 2481537992270400 2566225399943120 2694536669940276 2757264435856000 2836043419737600 2887003574936010 3079470479931744 3101922490338000 3207781749928900 3308717323027200 3368170837425345 3545054274672000 3592715559920368 3849338099914680 3970460787632640 4009727187411125 4041805004910414 4105960639908992 4135896653784000 4490894449900460 4619205719897616 4726739032896000 4811672624893350 4963075984540800 5132450799886240 5389073339880552 5514528871712000 5613618062375575 5774007149872020 6158940959863488 6203844980676000 6415563499857800 6617434646054400 6736341674850690 7090108549344000 7185431119840736 7217508937340025 7698676199829360 8019454374822250 8083610009820828 8211921279817984 8271793307568000 8981788899800920 9238411439795232 9623345249786700 9926151969081600 10104512512276035 10264901599772480 10778146679761104 11029057743424000 11227236124751150 11548014299744040 12029181562233375 12317881919726976 12407689961352000 12831126999715600 13472683349701380 14180217098688000 14370862239681472 14435017874680050 15397352399658720 16038908749644500 16167220019641656 16423842559635968 16543586615136000 16840854187126725 17963577799601840 18476822879590464 19246690499573400 19852303938163200 20209025024552070 20529803199544960 21556293359522208 22454472249502300 23096028599488080 24058363124466750 24635763839453952 24815379922704000 25662253999431200 26945366699402760 28068090311877875 28741724479362944 28870035749360100 30794704799317440 32077817499289000 32334440039283312 33087173230272000 33681708374253450 35927155599203680 36087544686700125 36953645759180928 38493380999146800 40418050049104140 41059606399089920 43112586719044416 44908944499004600 46192057198976160 48116726248933500 49271527678907904 49630759845408000 50522562561380175 51324507998862400 53890733398805520 56136180623755750 57483448958725888 57740071498720200 61589409598634880 64155634998578000 64668880078566624 67363416748506900 71854311198407360 72175089373400250 73907291518361856 76986761998293600 80836100098208280 82119212798179840 84204270935633625 86225173438088832 89817888998009200 92384114397952320 96233452497867000 99261519690816000 101045125122760350 102649015997724800 107781466797611040 112272361247511500 114966897917451776 115480142997440400 123178819197269760 128311269997156000 129337760157133248 134726833497013800 143708622396814720 144350178746800500 147814583036723712 153973523996587200 161672200196416560 168408541871267250 172450346876177664 179635777996018400 184768228795904640 192466904995734000 202090250245520700 205298031995449600 215562933595222080 224544722495023000 230960285994880800 246357638394539520 252612812806900875 256622539994312000 258675520314266496 269453666994027600 287417244793629440 288700357493601000 307947047993174400 323344400392833120 336817083742534500 344900693752355328 359271555992036800 369536457591809280 384933809991468000 404180500491041400 410596063990899200 431125867190444160 449089444990046000 461920571989761600 505225625613801750 513245079988624000 517351040628532992 538907333988055200 574834489587258880 577400714987202000 615894095986348800 646688800785666240 673634167485069000 718543111984073600 739072915183618560 769867619982936000 808361000982082800 862251734380888320 898178889980092000 923841143979523200 1010451251227603500 1026490159977248000 1034702081257065984 1077814667976110400 1154801429974404000 1231788191972697600 1293377601571332480 1347268334970138000 1437086223968147200 1539735239965872000 1616722001964165600 1724503468761776640 1796357779960184000 1847682287959046400 2020902502455207000 2052980319954496000 2155629335952220800 2309602859948808000 2586755203142664960 2694536669940276000 2874172447936294400 3079470479931744000 3233444003928331200 3592715559920368000 3695364575918092800 4041805004910414000 4311258671904441600 4619205719897616000 5173510406285329920 5389073339880552000 6158940959863488000 6466888007856662400 7185431119840736000 8083610009820828000 8622517343808883200 9238411439795232000 10778146679761104000 12933776015713324800 14370862239681472000 16167220019641656000 18476822879590464000 21556293359522208000 25867552031426649600 32334440039283312000 43112586719044416000 64668880078566624000 129337760157133248000
- Sum of all divisors σ(n): 532809008751192256512
- Sum of proper divisors (its aliquot sum) s(n): 403471248594059008512
- 129337760157133248000 is an abundant number, because the sum of its proper divisors (403471248594059008512) is greater than itself. Its abundance is 274133488436925760512
Bases of 129337760157133248000
- Binary: 11100000010111011000000011110011010001000101001100100010110000000002
- Hexadecimal: 0x702EC079A22991600
- Base-36: RANBDJ7TPQ4G0
Squares and roots of 129337760157133248000
- 129337760157133248000 squared (1293377601571332480002) is 16728256202464124660379817627029504000000
- 129337760157133248000 cubed (1293377601571332480003) is 2163595188561381594403619872450889158653838555348992000000000
-
The
square root of 129337760157133248000 is 11372676033.2444732839 -
The
cube root of 129337760157133248000 is 5057180.3899386555
Scales and comparisons
How big is 129337760157133248000?- 129,337,760,157,133,248,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 129,337,760,157,133,248,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 129337760157133248000 cubic inches would be around 421431.7 feet tall.
Recreational maths with 129337760157133248000
- 129337760157133248000 backwards is 000842331751067733921
- 129337760157133248000 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 129337760157133248000's digits is 72
- More coming soon!
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The information we have on file for 129337760157133248000 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!
Keywords: Divisors of 129337760157133248000, math, Factors of 129337760157133248000, curriculum, school, college, exams, university, Prime factorization of 129337760157133248000, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty-nine quintillion, three hundred thirty-seven quadrillion, seven hundred sixty trillion, one hundred fifty-seven billion, one hundred thirty-three million, two hundred forty-eight thousand.