138597752048000
138,597,752,048,000 is an even composite number composed of seven prime numbers multiplied together.
138597752048000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138597752048000:
27 × 53 × 72 × 17 × 43 × 257 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 17 × 43 × 257 × 941)See below for interesting mathematical facts about the number 138597752048000 from the Numbermatics database.
Names of 138597752048000
- Cardinal: 138597752048000 can be written as One hundred thirty-eight trillion, five hundred ninety-seven billion, seven hundred fifty-two million, forty-eight thousand.
Scientific notation
- Scientific notation: 1.38597752048 × 1014
Factors of 138597752048000
Divisors of 138597752048000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 43 49 50 56 64 68 70 80 85 86 98 100 112 119 125 128 136 140 160 170 172 175 196 200 215 224 238 245 250 257 272 280 301 320 340 344 350 392 400 425 430 448 476 490 500 514 544 560 595 602 640 680 688 700 731 784 800 833 850 860 875 896 941 952 980 1000 1028 1075 1088 1120 1190 1204 1225 1285 1360 1376 1400 1462 1505 1568 1600 1666 1700 1720 1750 1799 1882 1904 1960 2000 2056 2107 2125 2150 2176 2240 2380 2408 2450 2570 2720 2752 2800 2924 2975 3010 3136 3200 3332 3400 3440 3500 3598 3655 3764 3808 3920 4000 4112 4165 4214 4250 4300 4369 4480 4705 4760 4816 4900 5117 5140 5375 5440 5504 5600 5848 5950 6020 6125 6272 6425 6587 6664 6800 6880 7000 7196 7310 7525 7528 7616 7840 8000 8224 8330 8428 8500 8600 8738 8995 9410 9520 9632 9800 10234 10280 10535 10750 10880 11051 11200 11696 11900 12040 12250 12593 12850 13174 13328 13600 13760 14000 14392 14620 14875 15050 15056 15232 15680 15997 16000 16448 16660 16856 17000 17200 17476 17990 18275 18820 19040 19264 19600 20468 20560 20825 21070 21500 21845 22102 22400 23392 23525 23800 24080 24500 25186 25585 25700 26348 26656 27200 27520 28000 28784 29240 29750 30100 30112 30583 31360 31994 32125 32896 32935 33320 33712 34000 34400 34952 35819 35980 36550 37625 37640 38080 38528 39200 40463 40936 41120 41650 42140 43000 43690 44204 44975 46109 46784 47050 47600 48160 49000 50372 51170 51400 52675 52696 53312 54400 55255 56000 57568 58480 59500 60200 60224 61166 62965 63988 64250 65870 66640 67424 68000 68800 69904 71638 71960 73100 75250 75280 76160 77357 78400 79985 80926 81872 82240 83300 84280 86000 87380 88408 89950 91375 92218 93568 94100 95200 96320 98000 100744 102340 102800 104125 105350 105392 106624 109225 110510 111979 112000 115136 116960 117625 119000 120400 120448 122332 125930 127925 127976 128500 131740 133280 134848 136000 137600 139808 143276 143920 146200 150500 150560 152915 154714 156800 159970 161852 163744 164480 164675 166600 168560 172000 174760 176816 179095 179900 182750 184436 187867 188200 190400 192640 196000 201488 202315 204680 205600 208250 210700 210784 214081 218450 221020 223958 224875 230272 230545 233920 235250 238000 240800 241837 244664 251860 255850 255952 257000 263375 263480 266560 269696 272000 276275 279616 283241 286552 287840 292400 301000 301120 305830 309428 314825 319940 323704 327488 329350 333200 337120 344000 349520 353632 358190 359800 365500 368872 375734 376400 380800 386785 392000 399925 402976 404630 409360 411200 416500 421400 421568 428162 436900 442040 447916 449750 461090 467840 470500 476000 481600 483674 489328 503720 511700 511904 514000 526750 526960 533120 541499 546125 552550 559232 559895 566482 573104 575680 584800 602000 602240 611660 618856 629650 639625 639880 647408 654976 658700 666400 674240 687871 688000 699040 707264 716380 719600 731000 737744 751468 752800 764575 773570 783853 784000 799850 805952 809260 818720 822400 823375 833000 842800 843136 856324 873800 884080 895475 895832 899500 922180 939335 941000 952000 963200 967348 978656 1007440 1011575 1023400 1023808 1028000 1053500 1053920 1070405 1082998 1092250 1105100 1119790 1132964 1146208 1151360 1152725 1169600 1204000 1209185 1223320 1237712 1259300 1279250 1279760 1294816 1315069 1317400 1332800 1348480 1375742 1381375 1398080 1414528 1416205 1432760 1439200 1462000 1475488 1502936 1505600 1529150 1547140 1567706 1574125 1599700 1611904 1618520 1637440 1646750 1666000 1685600 1692859 1712648 1747600 1768160 1790950 1791664 1799000 1844360 1878670 1882000 1904000 1933925 1934696 1957312 1982687 1999625 2014880 2023150 2046800 2047616 2056000 2107000 2107840 2140810 2165996 2184500 2210200 2239580 2265928 2292416 2305450 2339200 2408000 2418370 2446640 2475424 2518600 2558500 2559520 2589632 2630138 2634800 2665600 2707495 2751484 2762750 2796160 2799475 2832410 2865520 2878400 2924000 2950976 3005872 3011200 3058300 3094280 3135412 3148250 3199400 3237040 3274880 3293500 3332000 3371200 3385718 3425296 3439355 3495200 3536320 3581900 3583328 3598000 3688720 3757340 3764000 3822875 3867850 3869392 3914624 3919265 3965374 3999250 4029760 4046300 4093600 4111229 4112000 4214000 4215680 4281620 4331992 4369000 4420400 4477375 4479160 4531856 4584832 4610900 4696675 4815097 4816000 4836740 4893280 4950848 5037200 5057875 5117000 5119040 5179264 5260276 5269600 5352025 5414990 5502968 5525500 5598950 5664820 5731040 5756800 5763625 5848000 5901952 6011744 6045925 6116600 6188560 6270824 6296500 6398800 6474080 6575345 6587000 6664000 6742400 6771436 6850592 6878710 6990400 7072640 7081025 7163800 7166656 7196000 7377440 7514680 7528000 7645750 7735700 7738784 7838530 7930748 7998500 8059520 8092600 8187200 8222458 8428000 8464295 8563240 8663984 8738000 8840800 8954750 8958320 9063712 9205483 9221800 9393350 9630194 9669625 9673480 9786560 9901696 9913435 10074400 10115750 10234000 10238080 10398991 10520552 10539200 10704050 10829980 11005936 11051000 11197900 11329640 11462080 11527250 11696000 11850013 12023488 12091850 12233200 12377120 12541648 12593000 12797600 12948160 13150690 13174000 13328000 13537475 13542872 13701184 13757420 13980800 13997375 14162050 14327600 14333312 14392000 14754880 15029360 15056000 15291500 15471400 15477568 15677060 15861496 15997000 16185200 16374400 16444916 16856000 16928590 17126480 17196775 17327968 17476000 17681600 17909500 17916640 18127424 18410966 18443600 18786700 19260388 19339250 19346960 19573120 19596325 19826870 20148800 20231500 20468000 20556145 20797982 21041104 21078400 21408100 21659960 22011872 22102000 22395800 22659280 22924160 23054500 23483375 23700026 24046976 24075485 24183700 24466400 24754240 25083296 25186000 25595200 25896320 26301380 26348000 26760125 27074950 27085744 27402368 27514840 27994750 28324100 28655200 28778603 28784000 29509760 30058720 30229625 30583000 30942800 30955136 31354120 31722992 31994000 32370400 32876725 32889832 33705679 33712000 33857180 34252960 34393550 34655936 34952000 35363200 35405125 35819000 35833280 36254848 36821932 36887200 37573400 38520776 38678500 38693920 39192650 39653740 40297600 40463000 40936000 41112290 41595964 42082208 42321475 42816200 43319920 44023744 44204000 44791600 45318560 46027415 46109000 46966750 47400052 48150970 48367400 48932800 49508480 49567175 50166592 50372000 51190400 51994955 52602760 52696000 53520250 54149900 54171488 55029680 55989500 56648200 57310400 57557206 59250065 60117440 60459250 61166000 61885600 62708240 63445984 63988000 64740800 65753450 65779664 67411358 67687375 67714360 68505920 68787100 69311872 69904000 70810250 71638000 71666560 72792937 73643864 73774400 75146800 77041552 77357000 77387840 78385300 79307480 80926000 81872000 82224580 83191928 84164416 84642950 85632400 85983875 86639840 88047488 88408000 89583200 90637120 92054830 92218000 93933500 94800104 96301940 96734800 97865600 97981625 99134350 100333184 100744000 102780725 103989910 105205520 105392000 107040500 108299800 108342976 110059360 111979000 113296400 114620800 115114412 118500130 120234880 120377425 120918500 122332000 123771200 125416480 126891968 127976000 129481600 131506900 131559328 134822716 135374750 135428720 137011840 137574200 141620500 143276000 143893015 145585874 147287728 147548800 150293600 154083104 154714000 154775680 156770600 158614960 161852000 164383625 164449160 166383856 168328832 168528395 169285900 171264800 171967750 173279680 176782847 176816000 179166400 181274240 184109660 184436000 187867000 189600208 192603880 193469600 195963250 198268700 201450221 201488000 205561450 207979820 210411040 211607375 214081000 216599600 216685952 220118720 223958000 226592800 230137075 230228824 237000260 240754850 241837000 244664000 247542400 247835875 250832960 253783936 255952000 259974775 263013800 263118656 269645432 270749500 270857440 275148400 283241000 286552000 287786030 291171748 294575456 296250325 300587200 308166208 309428000 313541200 317229920 323704000 328767250 328898320 332767712 337056790 338571800 342529600 343935500 346559360 353565694 358332800 363964685 368219320 368872000 375734000 379200416 385207760 386939200 391926500 396537400 402900442 411122900 415959640 420822080 423214750 428162000 433199200 440237440 447916000 453185600 460274150 460457648 474000520 481509700 483674000 489328000 495671750 501665920 509550559 513903625 519949550 526027600 526237312 539290864 541499000 541714880 550296800 566482000 573104000 575572060 582343496 589150912 592500650 601174400 601887125 616332416 618856000 627082400 634459840 647408000 657534500 657796640 665535424 674113580 677143600 685059200 687871000 707131388 719465075 727929370 736438640 737744000 751468000 758400832 770415520 773878400 783853000 793074800 805800884 822245800 831919280 841644160 842641975 846429500 856324000 866398400 883914235 895832000 906371200 920548300 920915296 948001040 963019400 967348000 991343500 1007251105 1019101118 1027807250 1039899100 1052055200 1078581728 1082998000 1083429760 1100593600 1132964000 1150685375 1151144120 1164686992 1178301824 1185001300 1203774250 1237479929 1237712000 1254164800 1268919680 1299873875 1315069000 1315593280 1331070848 1348227160 1354287200 1375742000 1414262776 1438930150 1455858740 1472877280 1481251625 1502936000 1516801664 1540831040 1567706000 1586149600 1611601768 1644491600 1663838560 1685283950 1692859000 1712648000 1732796800 1767828470 1791664000 1819823425 1841096600 1841830592 1896002080 1926038800 1934696000 1982687000 2014502210 2038202236 2055614500 2079798200 2104110400 2157163456 2165996000 2201187200 2265928000 2301370750 2302288240 2329373984 2370002600 2407548500 2474959858 2508329600 2547752795 2599747750 2630138000 2631186560 2696454320 2708574400 2751484000 2828525552 2877860300 2911717480 2945754560 2962503250 3005872000 3081662080 3135412000 3172299200 3223203536 3288983200 3327677120 3370567900 3385718000 3425296000 3535656940 3597325375 3639646850 3682193200 3683661184 3792004160 3852077600 3869392000 3965374000 4029004420 4076404472 4111229000 4159596400 4208220800 4213209875 4314326912 4331992000 4419571175 4531856000 4602741500 4604576480 4658747968 4740005200 4815097000 4949919716 5036255525 5095505590 5199495500 5260276000 5392908640 5417148800 5502968000 5657051104 5755720600 5823434960 5891509120 5925006500 6187399645 6270824000 6344598400 6446407072 6577966400 6655354240 6741135800 6771436000 7071313880 7194650750 7279293700 7364386400 7584008320 7704155200 7930748000 8058008840 8152808944 8222458000 8319192800 8426419750 8662359503 8663984000 8839142350 9099117125 9205483000 9209152960 9317495936 9480010400 9630194000 9899839432 10072511050 10191011180 10398991000 10520552000 10785817280 11005936000 11314102208 11511441200 11646869920 11850013000 12374799290 12541648000 12738763975 12892814144 13155932800 13482271600 13542872000 14142627760 14389301500 14558587400 14728772800 15408310400 15861496000 16116017680 16305617888 16444916000 16638385600 16852839500 17324719006 17678284700 18198234250 18410966000 18418305920 18960020800 19260388000 19799678864 20145022100 20382022360 20797982000 21041104000 21571634560 22097855875 22628204416 23022882400 23293739840 23700026000 24749598580 25181277625 25477527950 25785628288 26964543200 27085744000 28285255520 28778603000 29117174800 29457545600 30936998225 31722992000 32232035360 32611235776 32889832000 33276771200 33705679000 34649438012 35356569400 36396468500 36821932000 37920041600 38520776000 39599357728 40290044200 40764044720 41595964000 43311797515 44195711750 46045764800 46587479680 47400052000 49499197160 50362555250 50955055900 53929086400 56570511040 57557206000 58234349600 61873996450 63693819875 64464070720 65222471552 65779664000 67411358000 69298876024 70713138800 72792937000 73643864000 77041552000 79198715456 80580088400 81528089440 83191928000 86623595030 88391423500 92091529600 94800104000 98998394320 100725110500 101910111800 107858172800 113141022080 115114412000 116468699200 123747992900 127387639750 128928141440 134822716000 138597752048 141426277600 145585874000 147287728000 154684991125 158397430912 161160176800 163056178880 166383856000 173247190060 176782847000 189600208000 197996788640 201450221000 203820223600 216558987575 230228824000 232937398400 247495985800 254775279500 269645432000 277195504096 282852555200 291171748000 309369982250 322320353600 326112357760 346494380120 353565694000 395993577280 402900442000 407640447200 433117975150 460457648000 494991971600 509550559000 539290864000 554391008192 565705110400 582343496000 618739964500 644640707200 692988760240 707131388000 791987154560 805800884000 815280894400 866235950300 989983943200 1019101118000 1082794937875 1108782016384 1164686992000 1237479929000 1385977520480 1414262776000 1611601768000 1630561788800 1732471900600 1979967886400 2038202236000 2165589875750 2474959858000 2771955040960 2828525552000 3223203536000 3464943801200 3959935772800 4076404472000 4331179751500 4949919716000 5543910081920 6929887602400 8152808944000 8662359503000 9899839432000 13859775204800 17324719006000 19799678864000 27719550409600 34649438012000 69298876024000 138597752048000
- Sum of all divisors σ(n): 436450931579520
- Sum of proper divisors (its aliquot sum) s(n): 297853179531520
- 138597752048000 is an abundant number, because the sum of its proper divisors (297853179531520) is greater than itself. Its abundance is 159255427483520
Bases of 138597752048000
- Binary: 111111000001101110011011100011100001001100000002
- Hexadecimal: 0x7E0DCDC70980
- Base-36: 1D4MXF2XKW
Squares and roots of 138597752048000
- 138597752048000 squared (1385977520480002) is 19209336872758888194304000000
- 138597752048000 cubed (1385977520480003) is 2662370908897140111642300237934592000000000
-
The
square root of 138597752048000 is 11772754.6499534255 -
The
cube root of 138597752048000 is 51750.9979252281
Scales and comparisons
How big is 138597752048000?- 138,597,752,048,000 seconds is equal to 4,406,979 years, 41 weeks, 5 days, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,597,752,048,000 would take you about eleven million, seventeen thousand, four hundred forty-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 138597752048000 cubic inches would be around 4312.6 feet tall.
Recreational maths with 138597752048000
- 138597752048000 backwards is 000840257795831
- The number of decimal digits it has is: 15
- The sum of 138597752048000's digits is 59
- More coming soon!
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Numbermatics. (2024). Number 138597752048000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138597752048000/
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The information we have on file for 138597752048000 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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