148728659328000
148,728,659,328,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 148728659328000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1056 divisors.
148728659328000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 148728659328000:
210 × 35 × 53 × 31 × 154247
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 31 × 154247)See below for interesting mathematical facts about the number 148728659328000 from the Numbermatics database.
Names of 148728659328000
- Cardinal: 148728659328000 can be written as One hundred forty-eight trillion, seven hundred twenty-eight billion, six hundred fifty-nine million, three hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.48728659328 × 1014
Factors of 148728659328000
Divisors of 148728659328000
- Number of divisors d(n): 1056
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 54 60 62 64 72 75 80 81 90 93 96 100 108 120 124 125 128 135 144 150 155 160 162 180 186 192 200 216 225 240 243 248 250 256 270 279 288 300 310 320 324 360 372 375 384 400 405 432 450 465 480 486 496 500 512 540 558 576 600 620 640 648 675 720 744 750 768 775 800 810 837 864 900 930 960 972 992 1000 1024 1080 1116 1125 1152 1200 1215 1240 1280 1296 1350 1395 1440 1488 1500 1536 1550 1600 1620 1674 1728 1800 1860 1920 1944 1984 2000 2025 2160 2232 2250 2304 2325 2400 2430 2480 2511 2560 2592 2700 2790 2880 2976 3000 3072 3100 3200 3240 3348 3375 3456 3600 3720 3840 3875 3888 3968 4000 4050 4185 4320 4464 4500 4608 4650 4800 4860 4960 5022 5120 5184 5400 5580 5760 5952 6000 6075 6200 6400 6480 6696 6750 6912 6975 7200 7440 7533 7680 7750 7776 7936 8000 8100 8370 8640 8928 9000 9216 9300 9600 9720 9920 10044 10125 10368 10800 11160 11520 11625 11904 12000 12150 12400 12555 12800 12960 13392 13500 13824 13950 14400 14880 15066 15360 15500 15552 15872 16000 16200 16740 17280 17856 18000 18600 19200 19440 19840 20088 20250 20736 20925 21600 22320 23040 23250 23808 24000 24300 24800 25110 25600 25920 26784 27000 27648 27900 28800 29760 30132 30375 31000 31104 31744 32000 32400 33480 34560 34875 35712 36000 37200 37665 38400 38880 39680 40176 40500 41472 41850 43200 44640 46080 46500 47616 48000 48600 49600 50220 51840 53568 54000 55800 57600 59520 60264 60750 62000 62208 62775 64000 64800 66960 69120 69750 71424 72000 74400 75330 76800 77760 79360 80352 81000 82944 83700 86400 89280 93000 95232 96000 97200 99200 100440 103680 104625 107136 108000 111600 115200 119040 120528 121500 124000 124416 125550 128000 129600 133920 138240 139500 142848 144000 148800 150660 154247 155520 158720 160704 162000 167400 172800 178560 186000 188325 192000 194400 198400 200880 207360 209250 214272 216000 223200 230400 238080 241056 243000 248000 248832 251100 259200 267840 279000 285696 288000 297600 301320 308494 311040 313875 321408 324000 334800 345600 357120 372000 376650 384000 388800 396800 401760 414720 418500 428544 432000 446400 462741 476160 482112 486000 496000 502200 518400 535680 558000 576000 595200 602640 616988 622080 627750 642816 648000 669600 691200 714240 744000 753300 771235 777600 793600 803520 837000 857088 864000 892800 925482 941625 964224 972000 992000 1004400 1036800 1071360 1116000 1152000 1190400 1205280 1233976 1244160 1255500 1285632 1296000 1339200 1388223 1428480 1488000 1506600 1542470 1555200 1607040 1674000 1728000 1785600 1850964 1883250 1928448 1944000 1984000 2008800 2073600 2142720 2232000 2313705 2380800 2410560 2467952 2511000 2571264 2592000 2678400 2776446 2976000 3013200 3084940 3110400 3214080 3348000 3456000 3571200 3701928 3766500 3856175 3856896 3888000 3968000 4017600 4164669 4285440 4464000 4627410 4781657 4821120 4935904 5022000 5184000 5356800 5552892 5952000 6026400 6169880 6220800 6428160 6696000 6941115 7142400 7403856 7533000 7712350 7713792 7776000 8035200 8329338 8928000 9254820 9563314 9642240 9871808 10044000 10368000 10713600 11105784 11568525 11904000 12052800 12339760 12494007 12856320 13392000 13882230 14344971 14807712 15066000 15424700 15552000 16070400 16658676 17856000 18509640 19126628 19280875 19284480 19743616 20088000 20823345 21427200 22211568 23137050 23908285 24105600 24679520 24988014 26784000 27764460 28689942 29615424 30132000 30849400 31104000 32140800 33317352 34705575 35712000 37019280 37482021 38253256 38561750 38568960 39487232 40176000 41646690 43034913 44423136 46274100 47816570 48211200 49359040 49976028 53568000 55528920 57379884 57842625 59230848 60264000 61698800 62470035 64281600 66634704 69411150 71724855 74038560 74964042 76506512 77123500 78974464 80352000 83293380 86069826 88846272 92548200 95633140 96422400 98718080 99952056 104116725 107136000 111057840 114759768 115685250 118461696 119541425 120528000 123397600 124940070 129104739 133269408 138822300 143449710 148077120 149928084 153013024 154247000 157948928 160704000 166586760 172139652 173527875 177692544 185096400 187410105 191266280 192844800 197436160 199904112 208233450 215174565 222115680 229519536 231370500 236923392 239082850 241056000 246795200 249880140 258209478 266538816 277644600 286899420 296154240 299856168 306026048 308494000 312350175 321408000 333173520 344279304 347055750 355385088 358624275 370192800 374820210 382532560 387314217 394872320 399808224 416466900 430349130 444231360 459039072 462741000 473846784 478165700 482112000 493590400 499760280 516418956 520583625 533077632 555289200 573798840 592308480 597707125 599712336 612052096 616988000 624700350 645523695 666347040 688558608 694111500 710770176 717248550 740385600 749640420 765065120 774628434 789744640 799616448 832933800 860698260 888462720 918078144 925482000 937050525 956331400 964224000 987180800 999520560 1032837912 1041167250 1066155264 1075872825 1110578400 1147597680 1161942651 1184616960 1195414250 1199424672 1224104192 1233976000 1249400700 1291047390 1332694080 1377117216 1388223000 1421540352 1434497100 1480771200 1499280840 1530130240 1549256868 1561750875 1599232896 1665867600 1721396520 1776925440 1793121375 1836156288 1850964000 1874101050 1912662800 1936571085 1974361600 1999041120 2065675824 2082334500 2132310528 2151745650 2221156800 2295195360 2323885302 2369233920 2390828500 2398849344 2448208384 2467952000 2498801400 2582094780 2665388160 2754234432 2776446000 2868994200 2961542400 2998561680 3060260480 3098513736 3123501750 3198465792 3227618475 3331735200 3442793040 3553850880 3586242750 3672312576 3701928000 3748202100 3825325600 3873142170 3948723200 3998082240 4131351648 4164669000 4264621056 4303491300 4442313600 4590390720 4647770604 4685252625 4781657000 4797698688 4896416768 4935904000 4997602800 5164189560 5330776320 5379364125 5508468864 5552892000 5737988400 5809713255 5923084800 5997123360 6120520960 6197027472 6247003500 6396931584 6455236950 6663470400 6885586080 7107701760 7172485500 7344625152 7403856000 7496404200 7650651200 7746284340 7996164480 8262703296 8329338000 8606982600 8884627200 9180781440 9295541208 9370505250 9563314000 9595397376 9682855425 9871808000 9995205600 10328379120 10661552640 10758728250 11016937728 11105784000 11475976800 11619426510 11846169600 11994246720 12241041920 12394054944 12494007000 12793863168 12910473900 13326940800 13771172160 14344971000 14689250304 14807712000 14992808400 15301302400 15492568680 15992328960 16138092375 16525406592 16658676000 17213965200 17769254400 18361562880 18591082416 18741010500 19126628000 19190794752 19365710850 19743616000 19990411200 20656758240 21323105280 21517456500 22033875456 22211568000 22951953600 23238853020 23988493440 24482083840 24788109888 24988014000 25820947800 26653881600 27542344320 28689942000 29048566275 29615424000 29985616800 30602604800 30985137360 31984657920 32276184750 33050813184 33317352000 34427930400 35538508800 36723125760 37182164832 37482021000 38253256000 38381589504 38731421700 39980822400 41313516480 43034913000 44067750912 44423136000 45903907200 46477706040 47976986880 48414277125 49576219776 49976028000 51641895600 53307763200 55084688640 57379884000 58097132550 59230848000 59971233600 61205209600 61970274720 63969315840 64552369500 66101626368 66634704000 68855860800 73446251520 74364329664 74964042000 76506512000 77462843400 79961644800 82627032960 86069826000 88846272000 91807814400 92955412080 95953973760 96828554250 99152439552 99952056000 103283791200 106615526400 110169377280 114759768000 116194265100 119942467200 122410419200 123940549440 129104739000 132203252736 133269408000 137711721600 145242831375 148728659328 149928084000 153013024000 154925686800 159923289600 165254065920 172139652000 177692544000 183615628800 185910824160 191907947520 193657108500 198304879104 199904112000 206567582400 220338754560 229519536000 232388530200 239884934400 247881098880 258209478000 266538816000 275423443200 290485662750 297457318656 299856168000 306026048000 309851373600 319846579200 330508131840 344279304000 367231257600 371821648320 387314217000 396609758208 399808224000 413135164800 459039072000 464777060400 479769868800 495762197760 516418956000 533077632000 550846886400 580971325500 594914637312 599712336000 612052096000 619702747200 661016263680 688558608000 743643296640 774628434000 799616448000 826270329600 918078144000 929554120800 959539737600 991524395520 1032837912000 1101693772800 1161942651000 1189829274624 1199424672000 1239405494400 1377117216000 1487286593280 1549256868000 1599232896000 1652540659200 1836156288000 1859108241600 1983048791040 2065675824000 2323885302000 2398849344000 2478810988800 2754234432000 2974573186560 3098513736000 3305081318400 3718216483200 4131351648000 4647770604000 4797698688000 4957621977600 5508468864000 5949146373120 6197027472000 7436432966400 8262703296000 9295541208000 9915243955200 12394054944000 14872865932800 16525406592000 18591082416000 24788109888000 29745731865600 37182164832000 49576219776000 74364329664000 148728659328000
- Sum of all divisors σ(n): 573737642569728
- Sum of proper divisors (its aliquot sum) s(n): 425008983241728
- 148728659328000 is an abundant number, because the sum of its proper divisors (425008983241728) is greater than itself. Its abundance is 276280323913728
Bases of 148728659328000
- Binary: 1000011101000100100101101110100000111100000000002
- Hexadecimal: 0x874496E83C00
- Base-36: 1GPX03PC00
Squares and roots of 148728659328000
- 148728659328000 squared (1487286593280002) is 22120214105504281411584000000
- 148728659328000 cubed (1487286593280003) is 3289909787959966519708919688855552000000000
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The
square root of 148728659328000 is 12195436.0040139607 -
The
cube root of 148728659328000 is 52982.3911275603
Scales and comparisons
How big is 148728659328000?- 148,728,659,328,000 seconds is equal to 4,729,111 years, 16 weeks, 4 days.
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To count from 1 to 148,728,659,328,000 would take you about eleven million, eight hundred twenty-two thousand, seven hundred seventy-eight 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 148728659328000 cubic inches would be around 4415.2 feet tall.
Recreational maths with 148728659328000
- 148728659328000 backwards is 000823956827841
- The number of decimal digits it has is: 15
- The sum of 148728659328000's digits is 63
- More coming soon!
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The information we have on file for 148728659328000 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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