138785070816000
138,785,070,816,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138785070816000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2160 divisors.
138785070816000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138785070816000:
28 × 34 × 53 × 72 × 1033
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 103 × 103 × 103)See below for interesting mathematical facts about the number 138785070816000 from the Numbermatics database.
Names of 138785070816000
- Cardinal: 138785070816000 can be written as One hundred thirty-eight trillion, seven hundred eighty-five billion, seventy million, eight hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.38785070816 × 1014
Factors of 138785070816000
Divisors of 138785070816000
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 81 84 90 96 98 100 103 105 108 112 120 125 126 128 135 140 144 147 150 160 162 168 175 180 189 192 196 200 206 210 216 224 225 240 245 250 252 256 270 280 288 294 300 309 315 320 324 336 350 360 375 378 384 392 400 405 412 420 432 441 448 450 480 490 500 504 515 525 540 560 567 576 588 600 618 630 640 648 672 675 700 720 721 735 750 756 768 784 800 810 824 840 864 875 882 896 900 927 945 960 980 1000 1008 1030 1050 1080 1120 1125 1134 1152 1176 1200 1225 1236 1260 1280 1296 1323 1344 1350 1400 1440 1442 1470 1500 1512 1545 1568 1575 1600 1620 1648 1680 1728 1750 1764 1792 1800 1854 1890 1920 1960 2000 2016 2025 2060 2100 2160 2163 2205 2240 2250 2268 2304 2352 2400 2450 2472 2520 2575 2592 2625 2646 2688 2700 2781 2800 2835 2880 2884 2940 3000 3024 3090 3136 3150 3200 3240 3296 3360 3375 3456 3500 3528 3600 3605 3675 3708 3780 3840 3920 3969 4000 4032 4050 4120 4200 4320 4326 4410 4480 4500 4536 4635 4704 4725 4800 4900 4944 5040 5047 5150 5184 5250 5292 5376 5400 5562 5600 5670 5760 5768 5880 6000 6048 6125 6180 6272 6300 6400 6480 6489 6592 6615 6720 6750 6912 7000 7056 7200 7210 7350 7416 7560 7725 7840 7875 7938 8000 8064 8100 8240 8343 8400 8640 8652 8820 8960 9000 9072 9270 9408 9450 9600 9800 9888 10080 10094 10125 10300 10368 10500 10584 10609 10800 10815 11025 11124 11200 11340 11520 11536 11760 12000 12096 12250 12360 12544 12600 12875 12960 12978 13184 13230 13440 13500 13905 14000 14112 14175 14400 14420 14700 14832 15120 15141 15450 15680 15750 15876 16000 16128 16200 16480 16686 16800 17280 17304 17640 18000 18025 18144 18375 18540 18816 18900 19200 19467 19600 19776 19845 20160 20188 20250 20600 20736 21000 21168 21218 21600 21630 22050 22248 22400 22680 23072 23175 23520 23625 24000 24192 24500 24720 25200 25235 25750 25920 25956 26368 26460 26880 27000 27810 28000 28224 28350 28800 28840 29400 29664 30240 30282 30900 31360 31500 31752 31827 32000 32400 32445 32960 33075 33372 33600 34560 34608 35280 36000 36050 36288 36750 37080 37632 37800 38625 38934 39200 39552 39690 40320 40376 40500 41200 41715 42000 42336 42436 43200 43260 44100 44496 44800 45360 45423 46144 46350 47040 47250 48000 48384 49000 49440 50400 50470 51500 51840 51912 52920 53045 54000 54075 55125 55620 56000 56448 56700 57600 57680 58401 58800 59328 60480 60564 61800 62720 63000 63504 63654 64800 64890 65920 66150 66744 67200 69216 69525 70560 70875 72000 72100 72576 73500 74160 74263 75600 75705 77250 77868 78400 79104 79380 80640 80752 81000 82400 83430 84000 84672 84872 86400 86520 88200 88992 90125 90720 90846 92288 92700 94080 94500 95481 96000 97335 98000 98880 99225 100800 100940 103000 103680 103824 105840 106090 108000 108150 110250 111240 112000 112896 113400 115360 115875 116802 117600 118656 120960 121128 123600 126000 126175 127008 127308 129600 129780 131840 132300 133488 134400 136269 138432 139050 141120 141750 144000 144200 145152 147000 148320 148526 151200 151410 154500 155736 156800 158760 159135 161504 162000 162225 164800 165375 166860 168000 169344 169744 172800 173040 176400 177984 180250 181440 181692 184576 185400 188160 189000 190962 194670 196000 197760 198450 201600 201880 206000 207648 208575 211680 212180 216000 216300 220500 222480 222789 224000 226800 227115 230720 231750 233604 235200 237312 241920 242256 247200 252000 252350 254016 254616 259200 259560 264600 265225 266976 270375 272538 276864 278100 282240 283500 286443 288000 288400 292005 294000 296640 297052 302400 302820 309000 311472 313600 317520 318270 323008 324000 324450 329600 330750 333720 336000 338688 339488 346080 347625 352800 355968 360500 362880 363384 370800 371315 378000 378525 381924 389340 392000 395520 396900 403200 403760 408807 412000 415296 417150 423360 424360 432000 432600 441000 444960 445578 453600 454230 461440 463500 467208 470400 477405 484512 486675 494400 496125 504000 504700 508032 509232 518400 519120 519841 529200 530450 533952 540750 545076 553728 556200 564480 567000 572886 576800 584010 588000 593280 594104 604800 605640 618000 622944 630875 635040 636540 646016 648000 648900 659200 661500 667440 668367 672000 678976 681345 692160 695250 705600 711936 721000 725760 726768 741600 742630 756000 757050 763848 778680 784000 793800 795675 807520 811125 817614 824000 830592 834300 846720 848720 859329 864000 865200 882000 889920 891156 907200 908460 922880 927000 934416 940800 954810 969024 973350 988800 992250 1008000 1009400 1016064 1018464 1038240 1039682 1042875 1058400 1060900 1067904 1081500 1090152 1092727 1112400 1113945 1134000 1135575 1145772 1153600 1168020 1176000 1186560 1188208 1209600 1211280 1236000 1245888 1261750 1270080 1273080 1292032 1296000 1297800 1323000 1326125 1334880 1336734 1357952 1362690 1384320 1390500 1411200 1432215 1442000 1453536 1460025 1483200 1485260 1512000 1514100 1527696 1557360 1559523 1568000 1587600 1591350 1615040 1622250 1635228 1648000 1661184 1668600 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236029032000 240946303500 244770848000 247830483600 257009390400 264352515840 269485574400 275367204000 277570141632 283234838400 289135564200 308411268480 309788104500 314705376000 321261738000 330440644800 336856968000 342679187200 346962677040 354043548000 361419455250 367156272000 370093522176 385514085600 396528773760 413050806000 428348984000 433703346300 440587526400 449142624000 462616902720 472058064000 481892607000 495660967200 514018780800 542129182875 550734408000 555140283264 566469676800 578271128400 616822536960 619576209000 642523476000 660881289600 673713936000 693925354080 708087096000 722838910500 734312544000 771028171200 793057547520 826101612000 856697968000 867406692600 925233805440 944116128000 963785214000 991321934400 1028037561600 1084258365750 1101468816000 1110280566528 1156542256800 1239152418000 1285046952000 1321762579200 1347427872000 1387850708160 1416174192000 1445677821000 1542056342400 1652203224000 1713395936000 1734813385200 1850467610880 1927570428000 1982643868800 2168516731500 2202937632000 2313084513600 2478304836000 2570093904000 2775701416320 2832348384000 2891355642000 3084112684800 3304406448000 3469626770400 3855140856000 3965287737600 4337033463000 4626169027200 4956609672000 5140187808000 5551402832640 5782711284000 6608812896000 6939253540800 7710281712000 8674066926000 9252338054400 9913219344000 11565422568000 13878507081600 15420563424000 17348133852000 19826438688000 23130845136000 27757014163200 34696267704000 46261690272000 69392535408000 138785070816000
- Sum of all divisors σ(n): 606672693506880
- Sum of proper divisors (its aliquot sum) s(n): 467887622690880
- 138785070816000 is an abundant number, because the sum of its proper divisors (467887622690880) is greater than itself. Its abundance is 329102551874880
Bases of 138785070816000
- Binary: 111111000111001011010101101100010011011000000002
- Hexadecimal: 0x7E396AD89B00
- Base-36: 1D70ZBU800
Squares and roots of 138785070816000
- 138785070816000 squared (1387850708160002) is 19261295881402134905856000000
- 138785070816000 cubed (1387850708160003) is 2673180312908324430282810453098496000000000
-
The
square root of 138785070816000 is 11780707.5685631041 -
The
cube root of 138785070816000 is 51774.3017405235
Scales and comparisons
How big is 138785070816000?- 138,785,070,816,000 seconds is equal to 4,412,935 years, 50 weeks.
-
To count from 1 to 138,785,070,816,000 would take you about eleven million, thirty-two thousand, three hundred thirty-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 138785070816000 cubic inches would be around 4314.5 feet tall.
Recreational maths with 138785070816000
- 138785070816000 backwards is 000618070587831
- 138785070816000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138785070816000's digits is 54
- More coming soon!
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MLA style:
"Number 138785070816000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 138785070816000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/138785070816000/
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Numbermatics. 2024. "Number 138785070816000 - Facts about the integer". https://numbermatics.com/n/138785070816000/
The information we have on file for 138785070816000 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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