138025746432000
138,025,746,432,000 is an even composite number composed of five prime numbers multiplied together.
138025746432000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138025746432000:
217 × 32 × 53 × 73 × 2729
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 2729)See below for interesting mathematical facts about the number 138025746432000 from the Numbermatics database.
Names of 138025746432000
- Cardinal: 138025746432000 can be written as One hundred thirty-eight trillion, twenty-five billion, seven hundred forty-six million, four hundred thirty-two thousand.
Scientific notation
- Scientific notation: 1.38025746432 × 1014
Factors of 138025746432000
Divisors of 138025746432000
- Number of divisors d(n): 1728
-
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 49 50 56 60 63 64 70 72 75 80 84 90 96 98 100 105 112 120 125 126 128 140 144 147 150 160 168 175 180 192 196 200 210 224 225 240 245 250 252 256 280 288 294 300 315 320 336 343 350 360 375 384 392 400 420 441 448 450 480 490 500 504 512 525 560 576 588 600 630 640 672 686 700 720 735 750 768 784 800 840 875 882 896 900 960 980 1000 1008 1024 1029 1050 1120 1125 1152 1176 1200 1225 1260 1280 1344 1372 1400 1440 1470 1500 1536 1568 1575 1600 1680 1715 1750 1764 1792 1800 1920 1960 2000 2016 2048 2058 2100 2205 2240 2250 2304 2352 2400 2450 2520 2560 2625 2688 2729 2744 2800 2880 2940 3000 3072 3087 3136 3150 3200 3360 3430 3500 3528 3584 3600 3675 3840 3920 4000 4032 4096 4116 4200 4410 4480 4500 4608 4704 4800 4900 5040 5120 5145 5250 5376 5458 5488 5600 5760 5880 6000 6125 6144 6174 6272 6300 6400 6720 6860 7000 7056 7168 7200 7350 7680 7840 7875 8000 8064 8187 8192 8232 8400 8575 8820 8960 9000 9216 9408 9600 9800 10080 10240 10290 10500 10752 10916 10976 11025 11200 11520 11760 12000 12250 12288 12348 12544 12600 12800 13440 13645 13720 14000 14112 14336 14400 14700 15360 15435 15680 15750 16000 16128 16374 16384 16464 16800 17150 17640 17920 18000 18375 18432 18816 19103 19200 19600 20160 20480 20580 21000 21504 21832 21952 22050 22400 23040 23520 24000 24500 24561 24576 24696 25088 25200 25600 25725 26880 27290 27440 28000 28224 28672 28800 29400 30720 30870 31360 31500 32000 32256 32748 32768 32928 33600 34300 35280 35840 36000 36750 36864 37632 38206 38400 39200 40320 40935 40960 41160 42000 42875 43008 43664 43904 44100 44800 46080 47040 48000 49000 49122 49152 49392 50176 50400 51200 51450 53760 54580 54880 55125 56000 56448 57309 57344 57600 58800 61440 61740 62720 63000 64000 64512 65496 65536 65856 67200 68225 68600 70560 71680 72000 73500 73728 75264 76412 76800 77175 78400 80640 81870 81920 82320 84000 85750 86016 87328 87808 88200 89600 92160 94080 95515 96000 98000 98244 98304 98784 100352 100800 102400 102900 107520 109160 109760 110250 112000 112896 114618 114688 115200 117600 122805 122880 123480 125440 126000 128000 128625 129024 130992 131072 131712 133721 134400 136450 137200 141120 143360 144000 147000 147456 150528 152824 153600 154350 156800 161280 163740 163840 164640 168000 171500 171927 172032 174656 175616 176400 179200 184320 188160 191030 192000 196000 196488 196608 197568 200704 201600 204675 204800 205800 215040 218320 219520 220500 224000 225792 229236 229376 230400 235200 245610 245760 246960 250880 252000 256000 257250 258048 261984 263424 267442 268800 272900 274400 282240 286545 286720 288000 294000 294912 301056 305648 307200 308700 313600 322560 327480 327680 329280 336000 341125 343000 343854 344064 349312 351232 352800 358400 368640 376320 382060 384000 385875 392000 392976 393216 395136 401163 401408 403200 409350 409600 411600 430080 436640 439040 441000 448000 451584 458472 458752 460800 470400 477575 491220 491520 493920 501760 504000 512000 514500 516096 523968 526848 534884 537600 545800 548800 564480 573090 573440 576000 588000 589824 602112 611296 614025 614400 617400 627200 645120 654960 655360 658560 668605 672000 682250 686000 687708 688128 698624 702464 705600 716800 737280 752640 764120 768000 771750 784000 785952 790272 802326 802816 806400 818700 819200 823200 859635 860160 873280 878080 882000 896000 903168 916944 917504 921600 936047 940800 955150 982440 983040 987840 1003520 1008000 1023375 1024000 1029000 1032192 1047936 1053696 1069768 1075200 1091600 1097600 1128960 1146180 1146880 1152000 1176000 1179648 1203489 1204224 1222592 1228050 1228800 1234800 1254400 1290240 1309920 1317120 1337210 1344000 1364500 1372000 1375416 1376256 1397248 1404928 1411200 1432725 1433600 1474560 1505280 1528240 1536000 1543500 1568000 1571904 1580544 1604652 1605632 1612800 1637400 1638400 1646400 1719270 1720320 1746560 1756160 1764000 1792000 1806336 1833888 1843200 1872094 1881600 1910300 1964880 1966080 1975680 2005815 2007040 2016000 2046750 2048000 2058000 2064384 2095872 2107392 2139536 2150400 2183200 2195200 2257920 2292360 2293760 2304000 2352000 2387875 2406978 2408448 2445184 2456100 2457600 2469600 2508800 2580480 2619840 2634240 2674420 2688000 2729000 2744000 2750832 2752512 2794496 2808141 2809856 2822400 2865450 2867200 2949120 3010560 3056480 3070125 3072000 3087000 3136000 3143808 3161088 3209304 3211264 3225600 3274800 3276800 3292800 3343025 3438540 3440640 3493120 3512320 3528000 3584000 3612672 3667776 3686400 3744188 3763200 3820600 3929760 3951360 4011630 4014080 4032000 4093500 4096000 4116000 4128768 4191744 4214784 4279072 4298175 4300800 4366400 4390400 4515840 4584720 4587520 4608000 4680235 4704000 4775750 4813956 4816896 4890368 4912200 4915200 4939200 5017600 5160960 5239680 5268480 5348840 5376000 5458000 5488000 5501664 5588992 5616282 5619712 5644800 5730900 5734400 5898240 6017445 6021120 6112960 6140250 6144000 6174000 6272000 6287616 6322176 6418608 6422528 6451200 6549600 6585600 6686050 6877080 6881280 6986240 7024640 7056000 7163625 7168000 7225344 7335552 7372800 7488376 7526400 7641200 7859520 7902720 8023260 8028160 8064000 8187000 8192000 8232000 8257536 8383488 8424423 8429568 8558144 8596350 8601600 8732800 8780800 9031680 9169440 9216000 9360470 9408000 9551500 9627912 9633792 9780736 9824400 9830400 9878400 10029075 10035200 10321920 10479360 10536960 10697680 10752000 10916000 10976000 11003328 11177984 11232564 11239424 11289600 11461800 11468800 12034890 12042240 12225920 12280500 12288000 12348000 12544000 12575232 12644352 12837216 12902400 13099200 13171200 13372100 13754160 13762560 13972480 14040705 14049280 14112000 14327250 14336000 14450688 14671104 14745600 14976752 15052800 15282400 15719040 15805440 16046520 16056320 16128000 16374000 16384000 16464000 16715125 16766976 16848846 16859136 17116288 17192700 17203200 17465600 17561600 18063360 18338880 18432000 18720940 18816000 19103000 19255824 19267584 19561472 19648800 19756800 20058150 20070400 20643840 20958720 21073920 21395360 21490875 21504000 21832000 21952000 22006656 22355968 22465128 22478848 22579200 22923600 22937600 23401175 24069780 24084480 24451840 24561000 24576000 24696000 25088000 25150464 25288704 25674432 25804800 26198400 26342400 26744200 27508320 27944960 28081410 28098560 28224000 28654500 28672000 28901376 29342208 29491200 29953504 30087225 30105600 30564800 31438080 31610880 32093040 32112640 32256000 32748000 32928000 33430250 33533952 33697692 33718272 34232576 34385400 34406400 34931200 35123200 36126720 36677760 36864000 37441880 37632000 38206000 38511648 39122944 39297600 39513600 40116300 40140800 41287680 41917440 42122115 42147840 42790720 42981750 43008000 43664000 43904000 44013312 44711936 44930256 44957696 45158400 45847200 46802350 48139560 48168960 48903680 49122000 49152000 49392000 50145375 50176000 50300928 50577408 51348864 51609600 52396800 52684800 53488400 55016640 55889920 56162820 56197120 56448000 57309000 57344000 57802752 58684416 59907008 60174450 60211200 61129600 62876160 63221760 64186080 64512000 65496000 65856000 66860500 67067904 67395384 67436544 68465152 68770800 68812800 69862400 70203525 70246400 72253440 73355520 73728000 74883760 75264000 76412000 77023296 78245888 78595200 79027200 80232600 80281600 83834880 84244230 84295680 85581440 85963500 86016000 87328000 87808000 88026624 89423872 89860512 90316800 91694400 93604700 96279120 96337920 97807360 98244000 98784000 100290750 100352000 100601856 101154816 102697728 103219200 104793600 105369600 106976800 110033280 111779840 112325640 112394240 112896000 114618000 114688000 117005875 117368832 119814016 120348900 120422400 122259200 125752320 126443520 128372160 129024000 130992000 131712000 133721000 134135808 134790768 134873088 136930304 137541600 139724800 140407050 140492800 144506880 146711040 147456000 149767520 150436125 150528000 152824000 154046592 156491776 157190400 158054400 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468023500 469475328 479256064 481395600 481689600 489036800 503009280 505774080 513488640 516096000 523968000 526848000 534884000 536543232 539163072 547721216 550166400 558899200 561628200 561971200 586844160 599070080 601744500 602112000 611296000 616186368 625967104 628761600 632217600 641860800 670679040 673953840 674365440 684651520 687708000 698624000 702035250 702464000 704212992 718884096 722534400 733555200 748837600 770232960 782458880 785952000 790272000 802326000 802816000 804814848 821581824 838348800 842442300 842956800 855814400 880266240 894238720 898605120 903168000 916944000 936047000 938950656 958512128 962791200 978073600 1006018560 1011548160 1026977280 1032192000 1047936000 1053052875 1053696000 1069768000 1073086464 1078326144 1095442432 1100332800 1117798400 1123256400 1123942400 1173688320 1198140160 1203489000 1204224000 1222592000 1232372736 1251934208 1257523200 1264435200 1283721600 1341358080 1347907680 1369303040 1375416000 1397248000 1404070500 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4694753280 4792560640 4813956000 4890368000 4929490944 5030092800 5057740800 5134886400 5365432320 5391630720 5477212160 5501664000 5588992000 5616282000 5619712000 5633703936 5751072768 5868441600 5990700800 6161863680 6259671040 6287616000 6322176000 6418608000 6572654592 6706790400 6739538400 6846515200 7042129920 7188840960 7225344000 7335552000 7488376000 7511605248 7668097024 7702329600 7824588800 8048148480 8215818240 8383488000 8424423000 8429568000 8558144000 8626609152 8763539456 8802662400 8942387200 8986051200 9389506560 9585121280 9627912000 9780736000 9858981888 10060185600 10115481600 10269772800 10783261440 10954424320 11003328000 11177984000 11232564000 11267407872 11502145536 11736883200 11981401600 12323727360 12519342080 12575232000 12644352000 12837216000 13145309184 13413580800 13479076800 13693030400 14084259840 14377681920 14671104000 14976752000 15336194048 15404659200 15649177600 16096296960 16431636480 16766976000 16848846000 16859136000 17116288000 17253218304 17527078912 17605324800 17972102400 18779013120 19170242560 19255824000 19561472000 19717963776 20120371200 20539545600 21566522880 21908848640 22006656000 22355968000 22465128000 22534815744 23004291072 23473766400 23962803200 24647454720 25150464000 25288704000 25674432000 26290618368 26827161600 26958153600 27386060800 28168519680 28755363840 29342208000 29953504000 30672388096 30809318400 31298355200 32863272960 33533952000 33697692000 34232576000 34506436608 35210649600 35944204800 37558026240 38340485120 38511648000 39122944000 39435927552 40240742400 41079091200 43133045760 43817697280 44013312000 44711936000 44930256000 46008582144 46947532800 47925606400 49294909440 50300928000 50577408000 51348864000 52581236736 53916307200 54772121600 56337039360 57510727680 58684416000 59907008000 61344776192 61618636800 62596710400 65726545920 67067904000 67395384000 68465152000 69012873216 70421299200 71888409600 76680970240 77023296000 78245888000 78871855104 80481484800 82158182400 86266091520 87635394560 88026624000 89860512000 92017164288 93895065600 95851212800 98589818880 100601856000 102697728000 107832614400 109544243200 112674078720 115021455360 117368832000 119814016000 122689552384 123237273600 131453091840 134135808000 134790768000 136930304000 138025746432 140842598400 143776819200 153361940480 154046592000 156491776000 157743710208 164316364800 172532183040 176053248000 179721024000 184034328576 187790131200 191702425600 197179637760 201203712000 205395456000 215665228800 219088486400 230042910720 234737664000 239628032000 246474547200 262906183680 269581536000 273860608000 276051492864 281685196800 287553638400 306723880960 308093184000 312983552000 328632729600 345064366080 352106496000 359442048000 368068657152 383404851200 394359275520 402407424000 410790912000 431330457600 438176972800 460085821440 469475328000 479256064000 492949094400 539163072000 547721216000 552102985728 563370393600 575107276800 613447761920 616186368000 657265459200 690128732160 704212992000 718884096000 766809702400 788718551040 821581824000 862660915200 920171642880 938950656000 958512128000 985898188800 1078326144000 1095442432000 1104205971456 1150214553600 1232372736000 1314530918400 1380257464320 1408425984000 1437768192000 1533619404800 1643163648000 1725321830400 1840343285760 1917024256000 1971796377600 2156652288000 2190884864000 2300429107200 2464745472000 2760514928640 2816851968000 2875536384000 3067238809600 3286327296000 3450643660800 3834048512000 3943592755200 4313304576000 4600858214400 4929490944000 5521029857280 5751072768000 6572654592000 6901287321600 7668097024000 8626609152000 9201716428800 9858981888000 11502145536000 13802574643200 15336194048000 17253218304000 19717963776000 23004291072000 27605149286400 34506436608000 46008582144000 69012873216000 138025746432000
- Sum of all divisors σ(n): 580535596368000
- Sum of proper divisors (its aliquot sum) s(n): 442509849936000
- 138025746432000 is an abundant number, because the sum of its proper divisors (442509849936000) is greater than itself. Its abundance is 304484103504000
Bases of 138025746432000
- Binary: 111110110001000100111111001011000000000000000002
- Hexadecimal: 0x7D889F960000
- Base-36: 1CXC5HPFK0
Squares and roots of 138025746432000
- 138025746432000 squared (1380257464320002) is 19051106678110760730624000000
- 138025746432000 cubed (1380257464320003) is 2629543219601897705415731281133568000000000
-
The
square root of 138025746432000 is 11748435.9142823773 -
The
cube root of 138025746432000 is 51679.7060564073
Scales and comparisons
How big is 138025746432000?- 138,025,746,432,000 seconds is equal to 4,388,791 years, 41 weeks, 2 days, 8 hours.
-
To count from 1 to 138,025,746,432,000 would take you about ten million, nine hundred seventy-one thousand, nine hundred seventy-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 138025746432000 cubic inches would be around 4306.6 feet tall.
Recreational maths with 138025746432000
- 138025746432000 backwards is 000234647520831
- 138025746432000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138025746432000's digits is 45
- More coming soon!
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The information we have on file for 138025746432000 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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