138387026336000
138,387,026,336,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138387026336000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1296 divisors.
138387026336000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138387026336000:
28 × 53 × 133 × 232 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 13 × 23 × 23 × 61 × 61)See below for interesting mathematical facts about the number 138387026336000 from the Numbermatics database.
Names of 138387026336000
- Cardinal: 138387026336000 can be written as One hundred thirty-eight trillion, three hundred eighty-seven billion, twenty-six million, three hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.38387026336 × 1014
Factors of 138387026336000
Divisors of 138387026336000
- Number of divisors d(n): 1296
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 23 25 26 32 40 46 50 52 61 64 65 80 92 100 104 115 122 125 128 130 160 169 184 200 208 230 244 250 256 260 299 305 320 325 338 368 400 416 460 488 500 520 529 575 598 610 640 650 676 736 793 800 832 845 920 976 1000 1040 1058 1150 1196 1220 1280 1300 1352 1403 1472 1495 1525 1586 1600 1625 1664 1690 1840 1952 2000 2080 2116 2197 2300 2392 2440 2600 2645 2704 2806 2875 2944 2990 3050 3172 3200 3250 3328 3380 3680 3721 3887 3904 3965 4000 4160 4225 4232 4394 4600 4784 4880 5200 5290 5408 5612 5750 5888 5980 6100 6344 6400 6500 6760 6877 7015 7360 7442 7475 7625 7774 7808 7930 8000 8320 8450 8464 8788 9200 9568 9760 10309 10400 10580 10816 10985 11224 11500 11960 12200 12688 13000 13225 13520 13754 14030 14720 14884 14950 15250 15548 15616 15860 16000 16640 16900 16928 17576 18239 18400 18605 19136 19435 19520 19825 20618 20800 21125 21160 21632 21970 22448 23000 23920 24400 25376 26000 26450 27040 27508 28060 29440 29768 29900 30500 31096 31720 32000 32269 33800 33856 34385 35075 35152 36478 36800 37210 37375 38272 38870 39040 39650 41236 41600 42250 42320 43264 43940 44896 46000 47840 48373 48800 50531 50752 51545 52000 52900 54080 54925 55016 56120 59536 59800 61000 62192 63440 64538 66125 67600 67712 68770 70150 70304 72956 73600 74420 74750 76544 77740 78080 79300 82472 83200 84500 84640 85583 87880 89401 89792 91195 92000 93025 95680 96746 97175 97600 99125 101062 101504 103090 104000 105800 108160 109850 110032 112240 119072 119600 122000 124384 126880 129076 132250 134017 135200 135424 137540 140300 140608 145912 147200 148840 149500 155480 158600 161345 164944 169000 169280 171166 171925 175375 175760 178802 179584 182390 184000 186050 191360 193492 194350 195200 198250 202124 203008 206180 208000 211600 216320 219700 220064 224480 237107 238144 239200 241865 244000 248768 252655 253760 257725 258152 264500 268034 270400 274625 275080 280600 281216 291824 297680 299000 310960 317200 322690 329888 338000 338560 342332 343850 350750 351520 357604 359168 364780 368000 372100 382720 386984 388700 390400 396500 404248 412360 416000 419497 423200 427915 439400 440128 447005 448960 455975 465125 474214 476288 478400 483730 485875 488000 497536 505310 507520 515450 516304 529000 536068 540800 549250 550160 561200 562432 583648 595360 598000 621920 628849 634400 645380 659776 670085 676000 677120 684664 687700 701500 703040 715208 729560 736000 744200 773968 777400 793000 806725 808496 824720 838994 846400 855830 859625 878800 880256 894010 897920 911950 930250 948428 952576 956800 967460 971750 976000 995072 1010620 1015040 1030900 1032608 1058000 1072136 1081600 1098500 1100320 1112579 1122400 1162213 1167296 1185535 1190720 1196000 1209325 1243840 1257698 1263275 1268800 1288625 1290760 1319552 1340170 1352000 1369328 1375400 1403000 1406080 1430416 1459120 1488400 1547936 1554800 1586000 1613450 1616992 1649440 1677988 1692800 1711660 1719250 1757600 1760512 1788020 1795840 1823900 1860500 1896856 1913600 1934920 1943500 1952000 1968409 2021240 2061800 2065216 2097485 2116000 2139575 2144272 2197000 2200640 2225158 2235025 2244800 2279875 2324426 2334592 2371070 2381440 2392000 2418650 2487680 2515396 2526550 2537600 2577250 2581520 2639104 2680340 2704000 2738656 2750800 2806000 2812160 2860832 2918240 2976800 3082391 3095872 3109600 3144245 3172000 3226900 3233984 3298880 3350425 3355976 3385600 3423320 3438500 3515200 3576040 3647800 3721000 3793712 3869840 3887000 3936818 4033625 4042480 4123600 4130432 4194970 4232000 4279150 4288544 4394000 4401280 4450316 4470050 4489600 4559750 4648852 4669184 4742140 4762880 4784000 4837300 4975360 5030792 5053100 5075200 5154500 5163040 5360680 5408000 5453461 5477312 5501600 5562895 5612000 5721664 5811065 5836480 5927675 5953600 6046625 6164782 6191744 6219200 6288490 6316375 6344000 6453800 6467968 6597760 6700850 6711952 6846640 6877000 7030400 7152080 7295600 7442000 7587424 7739680 7774000 7873636 8067250 8084960 8175037 8247200 8260864 8389940 8464000 8558300 8577088 8788000 8802560 8900632 8940100 8979200 9119500 9297704 9484280 9568000 9674600 9842045 10061584 10106200 10309000 10326080 10487425 10697875 10721360 10906922 10954624 11003200 11125790 11175125 11224000 11443328 11622130 11672960 11855350 11907200 12093250 12329564 12383488 12438400 12576980 12632750 12688000 12907600 12935936 13195520 13401700 13423904 13693280 13754000 14060800 14304160 14463527 14591200 14884000 15174848 15411955 15479360 15548000 15721225 15747272 16134500 16169920 16350074 16494400 16752125 16779880 16928000 17116600 17154176 17576000 17801264 17880200 18239000 18595408 18968560 19349200 19684090 20123168 20212400 20618000 20652160 20974850 21395750 21442720 21813844 21909248 22006400 22251580 22350250 22448000 22886656 23244260 23345920 23710700 23814400 24186500 24659128 24876800 25153960 25265500 25376000 25589317 25815200 26803400 26847808 27267305 27386560 27508000 27814475 28608320 28927054 29055325 29182400 29638375 29768000 30349696 30823910 30958720 31096000 31442450 31494544 32269000 32339840 32700148 32988800 33504250 33559760 34233200 34308352 35152000 35602528 35760400 36478000 37190816 37937120 38698400 39368180 40246336 40424800 40875185 41236000 41304320 41949700 42791500 42885440 43627688 44012800 44503160 44700500 44896000 46488520 47421400 48373000 49210225 49318256 50307920 50531000 51178634 51630400 52437125 53606800 53695616 54534610 54773120 55016000 55628950 57216640 57854108 58110650 58364800 59276750 59536000 60699392 61647820 61917440 62192000 62884900 62989088 64538000 64679680 65400296 65977600 67008500 67119520 68466400 70304000 70894993 71205056 71520800 72317635 72956000 74381632 75874240 77059775 77396800 78606125 78736360 80492672 80849600 81750370 82472000 83899400 85583000 85770880 87255376 89006320 89401000 92977040 94842800 96746000 98420450 98636512 100615840 101062000 102357268 103260800 104874250 107213600 107391232 109069220 109546240 110032000 111257900 114433280 115708216 116221300 116729600 118553500 119072000 123295640 124384000 125769800 125978176 127946585 129076000 130800592 134017000 134239040 136336525 136932800 139072375 141789986 142410112 143041600 144635270 145276625 145912000 148763264 151748480 154119550 154793600 157212250 157472720 160985344 161699200 163500740 164944000 167798800 171166000 171541760 174510752 178012640 178802000 185954080 188025851 189685600 193492000 196840900 197273024 201231680 202124000 204375925 204714536 206521600 209748500 214427200 218138440 220064000 222515800 231416432 232442600 237107000 246051125 246591280 251539600 251956352 255893170 258152000 261601184 268034000 268478080 272673050 273865600 278144750 283579972 284820224 286083200 289270540 290553250 291824000 297526528 303496960 308239100 309587200 314424500 314945440 323398400 327001480 329888000 332661121 335597600 342332000 349021504 354474965 356025280 357604000 361588175 371908160 376051702 379371200 385298875 386984000 393681800 394546048 402463360 404248000 408751850 409429072 419497000 428854400 436276880 445031600 462832864 464885200 474214000 492102250 493182560 503079200 503912704 511786340 516304000 523202368 536068000 536956160 545346100 547731200 556289500 567159944 572166400 578541080 581106500 583648000 616478200 628849000 629890880 639732925 654002960 665322242 671195200 681682625 684664000 698043008 708949930 712050560 715208000 723176350 743816320 752103404 758742400 770597750 773968000 787363600 789092096 804926720 808496000 817503700 818858144 838994000 857708800 872553760 890063200 925665728 929770400 940129255 948428000 984204500 986365120 1006158400 1021879625 1023572680 1032608000 1046404736 1072136000 1090692200 1112579000 1134319888 1157082160 1162213000 1232956400 1257698000 1259781760 1279465850 1308005920 1330644484 1342390400 1363365250 1369328000 1396086016 1417899860 1424101120 1430416000 1446352700 1487632640 1504206808 1517484800 1541195500 1547936000 1574727200 1616992000 1635007400 1637716288 1663305605 1677988000 1745107520 1772374825 1780126400 1807940875 1851331456 1859540800 1880258510 1896856000 1968409000 1972730240 2012316800 2043759250 2047145360 2092809472 2144272000 2181384400 2225158000 2268639776 2314164320 2324426000 2465912800 2515396000 2519563520 2558931700 2616011840 2661288968 2684780800 2726730500 2738656000 2835799720 2860832000 2892705400 3008413616 3082391000 3149454400 3198664625 3270014800 3275432576 3326611210 3355976000 3490215040 3544749650 3560252800 3615881750 3702662912 3719081600 3760517020 3793712000 3936818000 3945460480 4024633600 4087518500 4094290720 4288544000 4324594573 4362768800 4450316000 4537279552 4628328640 4648852000 4700646275 4931825600 5030792000 5117863400 5232023680 5322577936 5453461000 5671599440 5785410800 6016827232 6164782000 6298908800 6397329250 6540029600 6550865152 6653222420 6711952000 6980430080 7089499300 7120505600 7231763500 7438163200 7521034040 7587424000 7873636000 8175037000 8188581440 8316528025 8649189146 8725537600 8861874125 8900632000 9074559104 9256657280 9297704000 9401292550 9863651200 10061584000 10235726800 10464047360 10645155872 10906922000 11343198880 11570821600 12033654464 12329564000 12597817600 12794658500 13080059200 13306444840 13423904000 14178998600 14463527000 15042068080 15747272000 16350074000 16377162880 16633056050 17298378292 17451075200 17723748250 17801264000 18149118208 18513314560 18595408000 18802585100 19727302400 20123168000 20471453600 21290311744 21622972865 21813844000 22686397760 23141643200 23503231375 24067308928 24659128000 25589317000 26160118400 26612889680 28357997200 28927054000 30084136160 31494544000 32700148000 32754325760 33266112100 34596756584 34902150400 35447496500 35602528000 37190816000 37605170200 40942907200 41582640125 42580623488 43245945730 43627688000 45372795520 46283286400 47006462750 48134617856 49318256000 51178634000 52320236800 53225779360 56715994400 57854108000 60168272320 62989088000 65400296000 66532224200 69193513168 70894993000 75210340400 81885814400 83165280250 85161246976 86491891460 87255376000 90745591040 92566572800 94012925500 98636512000 102357268000 106451558720 108114864325 113431988800 115708216000 120336544640 130800592000 133064448400 138387026336 141789986000 150420680800 163771628800 166330560500 172983782920 174510752000 188025851000 204714536000 212903117440 216229728650 226863977600 231416432000 240673089280 261601184000 266128896800 276774052672 283579972000 300841361600 332661121000 345967565840 376051702000 409429072000 425806234880 432459457300 453727955200 462832864000 532257793600 540574321625 553548105344 567159944000 601682723200 665322242000 691935131680 752103404000 818858144000 864918914600 1064515587200 1081148643250 1107096210688 1134319888000 1203365446400 1330644484000 1383870263360 1504206808000 1729837829200 2129031174400 2162297286500 2268639776000 2661288968000 2767740526720 3008413616000 3459675658400 4324594573000 5322577936000 5535481053440 6016827232000 6919351316800 8649189146000 10645155872000 13838702633600 17298378292000 27677405267200 34596756584000 69193513168000 138387026336000
- Sum of all divisors σ(n): 396902585635920
- Sum of proper divisors (its aliquot sum) s(n): 258515559299920
- 138387026336000 is an abundant number, because the sum of its proper divisors (258515559299920) is greater than itself. Its abundance is 120128532963920
Bases of 138387026336000
- Binary: 111110111011100101111011000101111011001000000002
- Hexadecimal: 0x7DDCBD8BD900
- Base-36: 1D1Y4EFLKW
Squares and roots of 138387026336000
- 138387026336000 squared (1383870263360002) is 19150969058120757584896000000
- 138387026336000 cubed (1383870263360003) is 2650245659406078394569274507821056000000000
-
The
square root of 138387026336000 is 11763801.5256973797 -
The
cube root of 138387026336000 is 51724.7570056613
Scales and comparisons
How big is 138387026336000?- 138,387,026,336,000 seconds is equal to 4,400,279 years, 19 weeks, 4 days, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,387,026,336,000 would take you about eleven million, six hundred ninety-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 138387026336000 cubic inches would be around 4310.4 feet tall.
Recreational maths with 138387026336000
- 138387026336000 backwards is 000633620783831
- 138387026336000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138387026336000's digits is 50
- More coming soon!
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The information we have on file for 138387026336000 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 138387026336000, math, Factors of 138387026336000, curriculum, school, college, exams, university, Prime factorization of 138387026336000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred eighty-seven billion, twenty-six million, three hundred thirty-six thousand.