138486541648000
138,486,541,648,000 is an even composite number composed of seven prime numbers multiplied together.
138486541648000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 138486541648000:
27 × 53 × 72 × 133 × 37 × 41 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 13 × 37 × 41 × 53)See below for interesting mathematical facts about the number 138486541648000 from the Numbermatics database.
Names of 138486541648000
- Cardinal: 138486541648000 can be written as One hundred thirty-eight trillion, four hundred eighty-six billion, five hundred forty-one million, six hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.38486541648 × 1014
Factors of 138486541648000
Divisors of 138486541648000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 37 40 41 49 50 52 53 56 64 65 70 74 80 82 91 98 100 104 106 112 125 128 130 140 148 160 164 169 175 182 185 196 200 205 208 212 224 245 250 259 260 265 280 287 296 320 325 328 338 350 364 370 371 392 400 410 416 424 448 455 481 490 500 518 520 530 533 560 574 592 637 640 650 656 676 689 700 728 740 742 784 800 820 832 845 848 875 896 910 925 962 980 1000 1025 1036 1040 1060 1066 1120 1148 1183 1184 1225 1274 1295 1300 1312 1325 1352 1378 1400 1435 1456 1480 1484 1517 1568 1600 1625 1640 1664 1690 1696 1750 1813 1820 1850 1855 1924 1960 1961 2000 2009 2050 2072 2080 2120 2132 2173 2197 2240 2275 2296 2366 2368 2405 2450 2548 2590 2597 2600 2624 2650 2665 2704 2756 2800 2870 2912 2960 2968 3034 3136 3185 3200 3250 3280 3367 3380 3392 3445 3500 3626 3640 3700 3710 3731 3848 3920 3922 4000 4018 4100 4144 4160 4225 4240 4264 4346 4394 4480 4550 4592 4625 4732 4736 4810 4823 4900 5096 5125 5180 5194 5200 5248 5300 5330 5408 5512 5600 5740 5824 5915 5920 5936 6068 6125 6253 6272 6370 6475 6500 6560 6625 6734 6760 6784 6890 6929 7000 7175 7252 7280 7400 7420 7462 7585 7696 7840 7844 8000 8036 8200 8281 8288 8320 8450 8480 8528 8692 8788 8957 9065 9100 9184 9250 9275 9464 9620 9646 9800 9805 10045 10192 10250 10360 10388 10400 10600 10619 10660 10816 10865 10985 11024 11200 11375 11480 11648 11830 11840 11872 12025 12136 12250 12506 12740 12950 12985 13000 13120 13250 13325 13468 13520 13727 13780 13858 14000 14350 14504 14560 14800 14840 14924 15170 15211 15379 15392 15680 15688 15925 16000 16072 16400 16562 16576 16835 16900 16960 17056 17225 17384 17576 17914 18130 18200 18368 18500 18550 18655 18928 19240 19292 19600 19610 19721 20090 20384 20500 20720 20776 20800 21125 21200 21238 21320 21632 21730 21970 22048 22400 22750 22960 23569 23660 23680 23744 24050 24115 24272 24500 25012 25480 25493 25900 25970 26000 26117 26240 26500 26650 26936 27040 27454 27560 27716 28000 28249 28700 29008 29120 29575 29600 29680 29848 30340 30422 30758 30784 31265 31360 31376 31850 32144 32375 32800 33124 33152 33670 33761 33800 33920 34112 34450 34645 34768 35152 35828 35875 36260 36400 36736 37000 37100 37310 37856 37925 38480 38584 39200 39220 39442 40180 40768 41000 41405 41440 41552 41600 42250 42400 42476 42640 43460 43771 43940 44096 44785 45325 45500 45920 46375 47138 47320 47488 48100 48230 48503 48544 49000 49025 50024 50225 50960 50986 51800 51940 52000 52234 53000 53095 53300 53872 54080 54325 54908 54925 55120 55432 56000 56498 57400 58016 58240 59150 59200 59360 59696 60125 60680 60844 61516 61568 62530 62699 62752 63700 64288 64750 64925 65600 66248 66625 67340 67522 67600 68224 68635 68900 69290 69536 70304 71656 71750 72520 72800 74000 74200 74333 74620 75712 75850 76055 76895 76960 77168 78400 78440 78884 79625 80360 80401 81289 81536 82000 82810 82880 83104 84175 84500 84800 84952 85280 86125 86920 87542 87880 88192 89570 90077 90650 91000 91840 92750 93275 94276 94640 96089 96200 96460 97006 97088 98000 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7065639880 7178444000 7197845200 7316491000 7423561600 7465581760 7485759008 7539554750 7609150640 7638529600 7730632000 7879298000 7966322000 8039857280 8119520500 8165480050 8194469920 8226108800 8354641750 8361704000 8444301320 8616634000 8655408853 8696172160 8827546000 8832049850 8997306500 9004912000 9104368000 9128974400 9279452000 9331977200 9357198760 9511438300 9548162000 9650630080 9891895832 9993256000 10049821600 10088624000 10243087400 10282636000 10392986240 10451814464 10555376650 10652810896 10665116800 10693941440 10870215200 11073608000 11305023808 11411218000 11516552320 11664971500 11696498450 11706385600 11889297875 12063287600 12174641024 12364869790 12562277000 12606876800 12746115200 12803859250 12991232800 13041392000 13064768080 13316013620 13331396000 13367426800 13510882112 13587769000 13786614400 14124073600 14131279760 14356888000 14395690400 14632982000 14931163520 14971518016 15079109500 15218301280 15277059200 15461264000 15758596000 15932644000 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42611243584 43277044265 43480860800 44160249250 45644872000 46659886000 46785993800 47557191500 48253150400 49459479160 50249108000 51215437000 51964931200 52259072320 52776883250 53264054480 53325584000 53469707200 54351076000 56525119040 57582761600 58482492250 58531928000 60316438000 60873205120 61824348950 63034384000 63730576000 64956164000 65323840400 66580068100 66837134000 67554410560 68933072000 69243270824 70620368000 70656398800 71978452000 74655817600 74857590080 76091506400 76385296000 79135166656 81654800500 81944699200 83225085125 84443013200 85222487168 86554088530 88320498500 91289744000 93319772000 93571987600 95114383000 96506300800 98918958320 100498216000 102430874000 104518144640 105553766500 106528108960 106939414400 108702152000 113050238080 116964984500 117063856000 120632876000 123648697900 129912328000 130647680800 133160136200 133674268000 135108821120 138486541648 141312797600 143956904000 149715180160 152183012800 154560872375 158270333312 163309601000 163889398400 166450170250 168886026400 173108177060 176640997000 186639544000 187143975200 190228766000 197837916640 200996432000 204861748000 211107533000 213056217920 216385221325 217404304000 233929969000 241265752000 247297395800 259824656000 261295361600 266320272400 267348536000 276973083296 282625595200 287913808000 304366025600 309121744750 326619202000 332900340500 337772052800 346216354120 353281994000 373279088000 374287950400 380457532000 395675833280 409723496000 422215066000 426112435840 432770442650 467859938000 482531504000 494594791600 522590723200 532640544800 534697072000 553946166592 565251190400 618243489500 653238404000 665800681000 675544105600 692432708240 706563988000 748575900800 760915064000 791351666560 819446992000 844430132000 865540885300 935719876000 989189583200 1065281089600 1081926106625 1107892333184 1236486979000 1306476808000 1331601362000 1384865416480 1413127976000 1521830128000 1688860264000 1731081770600 1871439752000 1978379166400 2130562179200 2163852213250 2472973958000 2612953616000 2663202724000 2769730832960 2826255952000 3377720528000 3462163541200 3742879504000 3956758332800 4327704426500 4945947916000 5326405448000 5539461665920 6924327082400 8655408853000 9891895832000 10652810896000 13848654164800 17310817706000 19783791664000 27697308329600 34621635412000 69243270824000 138486541648000
- Sum of all divisors σ(n): 465096678883200
- Sum of proper divisors (its aliquot sum) s(n): 326610137235200
- 138486541648000 is an abundant number, because the sum of its proper divisors (326610137235200) is greater than itself. Its abundance is 188123595587200
Bases of 138486541648000
- Binary: 111110111110011111010010001111100000000100000002
- Hexadecimal: 0x7DF3E91F0080
- Base-36: 1D37U7A3R4
Squares and roots of 138486541648000
- 138486541648000 squared (1384865416480002) is 19178522217623238555904000000
- 138486541648000 cubed (1384865416480003) is 2655967215837973945844838672289792000000000
-
The
square root of 138486541648000 is 11768030.4914628769 -
The
cube root of 138486541648000 is 51737.1526088059
Scales and comparisons
How big is 138486541648000?- 138,486,541,648,000 seconds is equal to 4,403,443 years, 34 weeks, 1 day, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 138,486,541,648,000 would take you about eleven million, eight thousand, six hundred 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 138486541648000 cubic inches would be around 4311.4 feet tall.
Recreational maths with 138486541648000
- 138486541648000 backwards is 000846145684831
- The number of decimal digits it has is: 15
- The sum of 138486541648000's digits is 58
- More coming soon!
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"Number 138486541648000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 138486541648000 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138486541648000/
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The information we have on file for 138486541648000 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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