138046921965568000
138,046,921,965,568,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138046921965568000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4320 divisors.
138046921965568000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, three hundred twenty divisors.
Prime factorization of 138046921965568000:
219 × 53 × 7 × 112 × 192 × 832
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 11 × 11 × 19 × 19 × 83 × 83)See below for interesting mathematical facts about the number 138046921965568000 from the Numbermatics database.
Names of 138046921965568000
- Cardinal: 138046921965568000 can be written as One hundred thirty-eight quadrillion, forty-six trillion, nine hundred twenty-one billion, nine hundred sixty-five million, five hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.38046921965568 × 1017
Factors of 138046921965568000
Divisors of 138046921965568000
- Number of divisors d(n): 4320
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 19 20 22 25 28 32 35 38 40 44 50 55 56 64 70 76 77 80 83 88 95 100 110 112 121 125 128 133 140 152 154 160 166 175 176 190 200 209 220 224 242 250 256 266 275 280 304 308 320 332 350 352 361 380 385 400 415 418 440 448 475 484 500 512 532 550 560 581 605 608 616 640 664 665 700 704 722 760 770 800 830 836 847 875 880 896 913 950 968 1000 1024 1045 1064 1100 1120 1162 1210 1216 1232 1280 1328 1330 1375 1400 1408 1444 1463 1520 1540 1577 1600 1660 1672 1694 1750 1760 1792 1805 1826 1900 1925 1936 2000 2048 2075 2090 2128 2200 2240 2299 2324 2375 2420 2432 2464 2527 2560 2656 2660 2750 2800 2816 2888 2905 2926 3025 3040 3080 3154 3200 3320 3325 3344 3388 3500 3520 3584 3610 3652 3800 3850 3872 3971 4000 4096 4150 4180 4235 4256 4400 4480 4565 4598 4648 4750 4840 4864 4928 5054 5120 5225 5312 5320 5500 5600 5632 5776 5810 5852 6050 6080 6160 6308 6391 6400 6640 6650 6688 6776 6889 7000 7040 7168 7220 7304 7315 7600 7700 7744 7885 7942 8000 8192 8300 8360 8470 8512 8800 8960 9025 9130 9196 9296 9500 9625 9680 9728 9856 10043 10108 10240 10375 10450 10624 10640 11000 11039 11200 11264 11495 11552 11620 11704 12100 12160 12320 12616 12635 12782 12800 13280 13300 13376 13552 13778 14000 14080 14336 14440 14525 14608 14630 15125 15200 15400 15488 15770 15884 16000 16093 16384 16600 16625 16720 16940 17024 17347 17600 17920 18050 18260 18392 18592 19000 19250 19360 19456 19712 19855 20086 20216 20480 20750 20900 21175 21248 21280 22000 22078 22400 22528 22825 22990 23104 23240 23408 24200 24320 24640 25232 25270 25564 25600 26125 26560 26600 26752 27104 27556 27797 28000 28160 28672 28880 29050 29216 29260 29963 30250 30400 30800 30976 31540 31768 31955 32000 32186 32768 33200 33250 33440 33880 34048 34445 34694 35200 35840 36100 36520 36575 36784 37184 38000 38500 38720 38912 39424 39425 39710 40172 40432 40960 41500 41800 42350 42496 42560 43681 44000 44156 44800 45056 45125 45650 45980 46208 46480 46816 48223 48400 48640 49280 50215 50464 50540 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7130522828800 7171268673536 7265627471872 7425071104000 7505813504000 7560072396800 7648028917760 7703511270400 7843575111680 7957970944000 8108959232000 8149168947200 8256394854400 8303574253568 8316079636480 8425715452000 8578072576000 8627932622848 8690941952000 8753768038400 8913153536000 8964085841920 9082034339840 9127069220864 9435879833600 9450090496000 9504091013120 9560036147200 9629389088000 9804468889600 9860494426112 10019373056000 10186461184000 10320493568000 10379467816960 10395099545600 10784915778560 10800103424000 10925755596800 10942210048000 11205107302400 11352542924800 11408836526080 11794849792000 11880113766400 11950045184000 12009301606400 12255586112000 12325618032640 12505382912000 12549720178688 12974334771200 12993874432000 13210231767040 13305727418368 13481144723200 13657194496000 13745586176000 14006384128000 14190678656000 14261045657600 14342537347072 14531254943744 14850142208000 15011627008000 15120144793600 15296057835520 15407022540800 15687150223360 16217918464000 16298337894400 16512789708800 16632159272960 16851430904000 17255865245696 17381883904000 17507536076800 17826307072000 17928171683840 18164068679680 18871759667200 18900180992000 19120072294400 19258778176000 19608937779200 19720988852224 20038746112000 20372922368000 20640987136000 20758935633920 20790199091200 21569831557120 21600206848000 21884420096000 22410214604800 22705085849600 22817673052160 23589699584000 23760227532800 23900090368000 24511172224000 24651236065280 25099440357376 25948669542400 25987748864000 26420463534080 26962289446400 27314388992000 28012768256000 28381357312000 28522091315200 29062509887488 29700284416000 30023254016000 30240289587200 30814045081600 31374300446720 32435836928000 32596675788800 33025579417600 33264318545920 33702861808000 34511730491392 34763767808000 35652614144000 35856343367680 36328137359360 37800361984000 38240144588800 38517556352000 39217875558400 39441977704448 40745844736000 41281974272000 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151201447936000 154070225408000 156871502233600 157767910817792 162983378944000 165127897088000 166321592729600 172558652456960 179281716838400 181640686796800 191200722944000 196089377792000 197209888522240 207589356339200 207901990912000 215698315571200 224102146048000 227050858496000 228176730521600 237602275328000 246512360652800 250994403573760 259486695424000 269622894464000 276093843931136 285220913152000 290625098874880 308140450816000 313743004467200 330255794176000 332643185459200 345117304913920 358563433676800 363281373593600 382401445888000 392178755584000 394419777044480 415803981824000 431396631142400 448204292096000 454101716992000 493024721305600 501988807147520 518973390848000 539245788928000 552187687862272 570441826304000 616280901632000 627486008934400 660511588352000 690234609827840 726562747187200 784357511168000 788839554088960 831607963648000 862793262284800 896408584192000 908203433984000 986049442611200 1037946781696000 1078491577856000 1104375375724544 1140883652608000 1232561803264000 1254972017868800 1380469219655680 1453125494374400 1568715022336000 1663215927296000 1725586524569600 1792817168384000 1816406867968000 1972098885222400 2156983155712000 2465123606528000 2509944035737600 2760938439311360 3137430044672000 3451173049139200 3632813735936000 3944197770444800 4313966311424000 4930247213056000 5521876878622720 6274860089344000 6902346098278400 7265627471872000 8627932622848000 9860494426112000 12549720178688000 13804692196556800 17255865245696000 19720988852224000 27609384393113600 34511730491392000 69023460982784000 138046921965568000
- Sum of all divisors σ(n): 462392058234506400
- Sum of proper divisors (its aliquot sum) s(n): 324345136268938400
- 138046921965568000 is an abundant number, because the sum of its proper divisors (324345136268938400) is greater than itself. Its abundance is 186298214303370400
Bases of 138046921965568000
- Binary: 1111010100111000011110001101100100001100000000000000000002
- Hexadecimal: 0x1EA70F1B2180000
- Base-36: 11R9JSGGEB5S
Squares and roots of 138046921965568000
- 138046921965568000 squared (1380469219655680002) is 19056952664167620764577562624000000
- 138046921965568000 cubed (1380469219655680003) is 2630753657331870744480599632339508691730432000000000
-
The
square root of 138046921965568000 is 371546661.8953371783 -
The
cube root of 138046921965568000 is 516823.4877444983
Scales and comparisons
How big is 138046921965568000?- 138,046,921,965,568,000 seconds is equal to 4,389,465,111 years, 17 weeks, 4 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,046,921,965,568,000 would take you about thirteen billion, one hundred sixty-eight million, three hundred ninety-five thousand, three hundred thirty-four 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 138046921965568000 cubic inches would be around 43068.6 feet tall.
Recreational maths with 138046921965568000
- 138046921965568000 backwards is 000865569129640831
- The number of decimal digits it has is: 18
- The sum of 138046921965568000's digits is 73
- More coming soon!
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"Number 138046921965568000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 138046921965568000 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/138046921965568000/
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The information we have on file for 138046921965568000 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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