138339621888000
138,339,621,888,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138339621888000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1792 divisors.
138339621888000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 138339621888000:
213 × 3 × 53 × 13 × 31 × 131 × 853
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 31 × 131 × 853)See below for interesting mathematical facts about the number 138339621888000 from the Numbermatics database.
Names of 138339621888000
- Cardinal: 138339621888000 can be written as One hundred thirty-eight trillion, three hundred thirty-nine billion, six hundred twenty-one million, eight hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 1.38339621888 × 1014
Factors of 138339621888000
Divisors of 138339621888000
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 31 32 39 40 48 50 52 60 62 64 65 75 78 80 93 96 100 104 120 124 125 128 130 131 150 155 156 160 186 192 195 200 208 240 248 250 256 260 262 300 310 312 320 325 372 375 384 390 393 400 403 416 465 480 496 500 512 520 524 600 620 624 640 650 655 744 750 768 775 780 786 800 806 832 853 930 960 975 992 1000 1024 1040 1048 1200 1209 1240 1248 1280 1300 1310 1488 1500 1536 1550 1560 1572 1600 1612 1625 1664 1703 1706 1860 1920 1950 1965 1984 2000 2015 2048 2080 2096 2325 2400 2418 2480 2496 2559 2560 2600 2620 2976 3000 3072 3100 3120 3144 3200 3224 3250 3275 3328 3406 3412 3720 3840 3875 3900 3930 3968 4000 4030 4061 4096 4160 4192 4265 4650 4800 4836 4875 4960 4992 5109 5118 5120 5200 5240 5952 6000 6045 6144 6200 6240 6288 6400 6448 6500 6550 6656 6812 6824 7440 7680 7750 7800 7860 7936 8000 8060 8122 8192 8320 8384 8515 8530 9300 9600 9672 9750 9825 9920 9984 10075 10218 10236 10240 10400 10480 11089 11625 11904 12000 12090 12183 12288 12400 12480 12576 12795 12800 12896 13000 13100 13312 13624 13648 14880 15360 15500 15600 15720 15872 16000 16120 16244 16375 16640 16768 17030 17060 18600 19200 19344 19500 19650 19840 19968 20150 20305 20436 20472 20480 20800 20960 21325 22178 23250 23808 24000 24180 24366 24576 24800 24960 25152 25545 25590 25600 25792 26000 26200 26443 26624 27248 27296 29760 30225 30720 31000 31200 31440 31744 32000 32240 32488 32750 33267 33280 33536 34060 34120 37200 38400 38688 39000 39300 39680 39936 40300 40610 40872 40944 40960 41600 41920 42575 42650 44356 46500 47616 48000 48360 48732 49125 49600 49920 50304 50375 51090 51180 51200 51584 52000 52400 52793 52886 53248 54496 54592 55445 59520 60450 60915 61440 62000 62400 62880 63488 63975 64000 64480 64976 65500 66534 66560 67072 68120 68240 74400 76800 77376 78000 78600 79329 79360 79872 80600 81220 81744 81888 83200 83840 85150 85300 88712 93000 95232 96000 96720 97464 98250 99200 99840 100608 100750 101525 102180 102360 102400 103168 104000 104800 105586 105772 106496 106625 108992 109184 110890 111743 119040 120900 121830 122880 124000 124800 125760 126976 127725 127950 128000 128960 129952 131000 132215 133068 133120 134144 136240 136480 148800 151125 153600 154752 156000 157200 158379 158658 158720 159744 161200 162440 163488 163776 166335 166400 167680 170300 170600 177424 186000 190464 192000 193440 194928 196500 198400 199680 201216 201500 203050 204360 204720 204800 206336 208000 209600 211172 211544 212875 213250 217984 218368 221780 223486 238080 241800 243660 248000 249600 251520 253952 255450 255900 256000 257920 259904 262000 263965 264430 266136 266240 268288 272480 272960 277225 297600 302250 304575 307200 309504 312000 314400 316758 317316 317440 319488 319875 322400 324880 326976 327552 332670 332800 335229 335360 340600 341200 343759 354848 372000 380928 384000 386880 389856 393000 396645 396800 399360 402432 403000 406100 408720 409440 412672 416000 419200 422344 423088 425750 426500 435968 436736 443560 446972 476160 483600 487320 496000 499200 503040 507625 510900 511800 512000 515840 519808 524000 527930 528860 532272 532480 536576 544960 545920 554450 558715 595200 604500 609150 614400 619008 624000 628800 633516 634632 634880 638625 639750 644800 649760 653952 655104 661075 665340 665600 670458 670720 681200 682400 687518 709696 744000 761856 768000 773760 779712 786000 791895 793290 793600 798720 804864 806000 812200 817440 818880 825344 831675 832000 838400 844688 846176 851500 853000 871936 873472 887120 893944 952320 967200 974640 992000 998400 1006080 1015250 1021800 1023600 1024000 1031277 1031680 1039616 1048000 1055860 1057720 1064544 1073152 1089920 1091840 1108900 1117430 1190400 1209000 1218300 1238016 1248000 1257600 1267032 1269264 1269760 1277250 1279500 1289600 1299520 1307904 1310208 1319825 1322150 1330680 1331200 1340916 1341440 1362400 1364800 1375036 1386125 1419392 1452659 1488000 1522875 1536000 1547520 1559424 1572000 1583790 1586580 1587200 1597440 1609728 1612000 1624400 1634880 1637760 1650688 1663350 1664000 1676145 1676800 1689376 1692352 1703000 1706000 1718795 1743872 1746944 1774240 1787888 1904640 1934400 1949280 1983225 1984000 1996800 2012160 2030500 2043600 2047200 2062554 2063360 2079232 2096000 2111720 2115440 2129088 2179840 2183680 2217800 2234860 2380800 2418000 2436600 2476032 2496000 2515200 2534064 2538528 2554500 2559000 2579200 2599040 2615808 2620416 2639650 2644300 2661360 2662400 2681832 2682880 2724800 2729600 2750072 2772250 2793575 2838784 2905318 2976000 3045750 3072000 3095040 3118848 3144000 3167580 3173160 3174400 3219456 3224000 3248800 3269760 3275520 3301376 3305375 3326700 3328000 3352290 3353600 3378752 3384704 3406000 3412000 3437590 3464033 3487744 3493888 3548480 3575776 3809280 3868800 3898560 3959475 3966450 3968000 3993600 4024320 4061000 4087200 4094400 4125108 4126720 4158375 4158464 4192000 4223440 4230880 4258176 4357977 4359680 4367360 4435600 4469720 4761600 4836000 4873200 4952064 4992000 5030400 5068128 5077056 5109000 5118000 5156385 5158400 5198080 5231616 5240832 5279300 5288600 5322720 5363664 5365760 5449600 5459200 5500144 5544500 5587150 5677568 5810636 5952000 6091500 6190080 6237696 6288000 6335160 6346320 6348800 6448000 6497600 6539520 6551040 6599125 6610750 6653400 6656000 6704580 6707200 6757504 6769408 6812000 6824000 6875180 6928066 6975488 6987776 7096960 7151552 7263295 7737600 7797120 7918950 7932900 7936000 7987200 8048640 8122000 8174400 8188800 8250216 8253440 8316750 8316928 8380725 8384000 8446880 8461760 8516352 8593975 8715954 8719360 8734720 8871200 8939440 9523200 9672000 9746400 9904128 9916125 9984000 10060800 10136256 10154112 10218000 10236000 10312770 10316800 10392099 10396160 10463232 10481664 10558600 10577200 10645440 10727328 10899200 10918400 11000288 11089000 11174300 11355136 11621272 11904000 12183000 12380160 12475392 12576000 12670320 12692640 12896000 12995200 13079040 13102080 13198250 13221500 13306800 13312000 13409160 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1732016500 1743190800 1743872000 1760046080 1773584896 1787888000 1801297160 1859403520 2027251200 2030822400 2062554000 2078419800 2079232000 2112055296 2129088000 2145465600 2161556592 2162401280 2178988500 2200057600 2216981120 2231284224 2251621450 2271027200 2288496640 2324254400 2495078400 2534064000 2538528000 2598024750 2615808000 2620416000 2640069120 2660377344 2681832000 2701945740 2703001600 2707763200 2746195968 2750072000 2771226400 2789105280 2816073728 2838784000 2860620800 2882075456 2905318000 2975045632 3118848000 3243601920 3249315840 3300086400 3325471680 3377432175 3378752000 3384704000 3406540800 3432744960 3464033000 3486381600 3520092160 3547169792 3575776000 3602594320 3718807040 4054502400 4061644800 4125108000 4156839600 4158464000 4224110592 4258176000 4290931200 4323113184 4357977000 4400115200 4433962240 4462568448 4503242900 4576993280 4648508800 5068128000 5077056000 5196049500 5231616000 5280138240 5320754688 5363664000 5403891480 5406003200 5415526400 5500144000 5542452800 5578210560 5629053625 5677568000 5721241600 5764150912 5810636000 5950091264 6237696000 6487203840 6600172800 6650943360 6754864350 6757504000 6769408000 6813081600 6865489920 6928066000 6972763200 7040184320 7094339584 7151552000 7205188640 7437614080 8109004800 8123289600 8250216000 8313679200 8448221184 8516352000 8581862400 8646226368 8715954000 8800230400 8867924480 8925136896 9006485800 9297017600 10136256000 10154112000 10392099000 10560276480 10641509376 10727328000 10807782960 10812006400 11000288000 11084905600 11156421120 11258107250 11355136000 11442483200 11528301824 11621272000 11900182528 12475392000 13200345600 13301886720 13509728700 13515008000 13538816000 13730979840 13856132000 13945526400 14080368640 14188679168 14303104000 14410377280 14875228160 16218009600 16246579200 16500432000 16627358400 16887160875 17032704000 17163724800 17292452736 17431908000 17600460800 17735848960 17850273792 18012971600 18594035200 20272512000 20308224000 20784198000 21120552960 21283018752 21454656000 21615565920 22000576000 22169811200 22312842240 22516214500 22884966400 23056603648 23242544000 26400691200 26603773440 27019457400 27030016000 27077632000 27712264000 27891052800 28377358336 28606208000 28820754560 29750456320 32436019200 33000864000 33254716800 33774321750 34065408000 34327449600 34584905472 34863816000 35200921600 35471697920 35700547584 36025943200 37188070400 40545024000 40616448000 41568396000 42241105920 42566037504 42909312000 43231131840 44001152000 44339622400 44625684480 45032429000 46113207296 46485088000 52801382400 53207546880 54038914800 54060032000 55424528000 55782105600 57212416000 57641509120 59500912640 66001728000 66509433600 67548643500 68654899200 69169810944 69727632000 70401843200 70943395840 72051886400 74376140800 81090048000 81232896000 83136792000 85132075008 85818624000 86462263680 88002304000 88679244800 89251368960 90064858000 92226414592 92970176000 105602764800 106415093760 108077829600 110849056000 111564211200 114424832000 115283018240 132003456000 133018867200 135097287000 138339621888 139455264000 141886791680 144103772800 148752281600 162180096000 166273584000 171637248000 172924527360 176004608000 177358489600 178502737920 180129716000 184452829184 185940352000 211205529600 212830187520 216155659200 221698112000 223128422400 230566036480 264006912000 266037734400 270194574000 276679243776 278910528000 288207545600 297504563200 332547168000 343274496000 345849054720 352009216000 354716979200 360259432000 368905658368 371880704000 425660375040 432311318400 443396224000 446256844800 461132072960 528013824000 532075468800 540389148000 553358487552 557821056000 576415091200 665094336000 691698109440 709433958400 720518864000 743761408000 864622636800 886792448000 892513689600 922264145920 1056027648000 1064150937600 1080778296000 1106716975104 1115642112000 1152830182400 1330188672000 1383396218880 1441037728000 1487522816000 1729245273600 1773584896000 1844528291840 2128301875200 2161556592000 2231284224000 2305660364800 2660377344000 2766792437760 2882075456000 3458490547200 3547169792000 4323113184000 4462568448000 4611320729600 5320754688000 5533584875520 5764150912000 6916981094400 8646226368000 9222641459200 10641509376000 11528301824000 13833962188800 17292452736000 23056603648000 27667924377600 34584905472000 46113207296000 69169810944000 138339621888000
- Sum of all divisors σ(n): 516283014094848
- Sum of proper divisors (its aliquot sum) s(n): 377943392206848
- 138339621888000 is an abundant number, because the sum of its proper divisors (377943392206848) is greater than itself. Its abundance is 239603770318848
Bases of 138339621888000
- Binary: 111110111010001101101000000010101100000000000002
- Hexadecimal: 0x7DD1B4056000
- Base-36: 1D1CCF1REO
Squares and roots of 138339621888000
- 138339621888000 squared (1383396218880002) is 19137850984114808684544000000
- 138339621888000 cubed (1383396218880003) is 2647523068891331327801275629699072000000000
-
The
square root of 138339621888000 is 11761786.5092000373 -
The
cube root of 138339621888000 is 51718.8502294569
Scales and comparisons
How big is 138339621888000?- 138,339,621,888,000 seconds is equal to 4,398,772 years, 3 weeks, 2 days, 2 hours, 40 minutes.
-
To count from 1 to 138,339,621,888,000 would take you about ten million, nine hundred ninety-six thousand, nine hundred thirty 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 138339621888000 cubic inches would be around 4309.9 feet tall.
Recreational maths with 138339621888000
- 138339621888000 backwards is 000888126933831
- 138339621888000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138339621888000's digits is 60
- More coming soon!
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The information we have on file for 138339621888000 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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