138948827122560
138,948,827,122,560 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138948827122560 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 3072 divisors.
138948827122560 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 138948827122560:
27 × 3 × 5 × 72 × 13 × 31 × 61 × 73 × 823
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 13 × 31 × 61 × 73 × 823)See below for interesting mathematical facts about the number 138948827122560 from the Numbermatics database.
Names of 138948827122560
- Cardinal: 138948827122560 can be written as One hundred thirty-eight trillion, nine hundred forty-eight billion, eight hundred twenty-seven million, one hundred twenty-two thousand, five hundred sixty.
Scientific notation
- Scientific notation: 1.3894882712256 × 1014
Factors of 138948827122560
Divisors of 138948827122560
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 31 32 35 39 40 42 48 49 52 56 60 61 62 64 65 70 73 78 80 84 91 93 96 98 104 105 112 120 122 124 128 130 140 146 147 155 156 160 168 182 183 186 192 195 196 208 210 217 219 224 240 244 245 248 260 273 280 292 294 305 310 312 320 336 364 365 366 372 384 390 392 403 416 420 427 434 438 448 455 465 480 488 490 496 511 520 546 560 584 588 610 620 624 637 640 651 672 728 730 732 735 744 780 784 793 806 823 832 840 854 868 876 896 910 915 930 949 960 976 980 992 1022 1040 1085 1092 1095 1120 1168 1176 1209 1220 1240 1248 1274 1281 1302 1344 1365 1456 1460 1464 1470 1488 1519 1533 1560 1568 1586 1612 1646 1664 1680 1708 1736 1752 1820 1830 1860 1891 1898 1911 1920 1952 1960 1984 2015 2044 2080 2135 2170 2184 2190 2240 2263 2336 2352 2379 2418 2440 2469 2480 2496 2548 2555 2562 2604 2688 2730 2821 2847 2912 2920 2928 2940 2976 2989 3038 3066 3120 3136 3172 3185 3224 3255 3292 3360 3416 3472 3504 3577 3640 3660 3720 3782 3796 3822 3904 3920 3965 3968 4030 4088 4115 4160 4270 4340 4368 4380 4453 4480 4526 4557 4672 4704 4745 4758 4836 4880 4938 4960 4992 5096 5110 5124 5208 5460 5551 5642 5673 5694 5761 5824 5840 5856 5880 5952 5978 6045 6076 6132 6240 6272 6344 6370 6405 6448 6510 6584 6643 6720 6789 6832 6944 7008 7154 7280 7320 7440 7564 7592 7595 7644 7665 7808 7840 7930 8060 8176 8230 8320 8463 8540 8680 8736 8760 8906 8967 9052 9114 9344 9408 9455 9490 9516 9555 9672 9760 9876 9920 10192 10220 10248 10416 10699 10731 10920 11102 11284 11315 11346 11388 11522 11648 11680 11712 11760 11895 11904 11956 12090 12152 12264 12345 12480 12688 12740 12810 12896 13020 13168 13237 13286 13359 13440 13578 13664 13888 14016 14105 14235 14308 14560 14640 14880 14945 15128 15184 15190 15288 15330 15680 15841 15860 16120 16352 16460 16653 16926 17080 17283 17360 17472 17520 17812 17885 17934 18104 18228 18816 18910 18980 19032 19110 19344 19520 19747 19752 19840 19929 20384 20440 20496 20832 21398 21462 21840 22204 22265 22568 22630 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5664906520 5717117640 5746436192 5810840880 5840640064 5907688228 5931900065 5948151846 6029718240 6098258816 6100668560 6123251680 6140027712 6156895920 6240683904 6257828640 6362125784 6474178880 6493542720 6669970580 6779314360 6797887824 6816563340 6972192640 7003469109 7034671280 7036452480 7118280078 7183045240 7271000896 7300800080 7320802272 7347902016 7384610285 7622823520 7675034640 7747787840 7769014656 7800854880 7930869128 7952657230 8003964696 8039624320 8135177232 8209194560 8343771520 8441605536 8497359780 8619654288 8760960096 8771468160 8861532342 9063850432 9088751120 9147388224 9151002840 9184877520 9297345408 9337958812 9491040104 9543188676 9711268320 9761069696 9851033472 9913586410 10004955870 10168971540 10233379520 10338454399 10401139840 10458288960 10497002880 10552006920 10671952928 10774567860 10846902976 10906501344 10951200120 11133720122 11255474048 11329813040 11434235280 11492872384 11621681760 11672448515 11681280128 11815376456 11863800130 11896303692 11928985845 12059436480 12201337120 12246503360 12280055424 12313791840 12515657280 12724251568 12948357760 12987085440 13339941160 13558628720 13595775648 13633126680 14006938218 14069342560 14236560156 14366090480 14542001792 14601600160 14641604544 14695804032 14769220570 14870379615 15245647040 15350069280 15495575680 15601709760 15861738256 15905314460 16007929392 16270354464 16418389120 16700580183 16883211072 16994719560 17239308576 17521920192 17723064684 17795700195 18127700864 18177502240 18294776448 18302005680 18369755040 18675917624 18982080208 19086377352 19422536640 19827172820 20009911740 20337943080 20466759040 20676908798 20916577920 21104013840 21343905856 21549135720 21693805952 21813002688 21902400240 22153830855 22267440244 22659626080 22868470560 22985744768 23243363520 23344897030 23630752912 23727600260 23792607384 23857971690 24118872960 24402674240 24493006720 24627583680 25031314560 25448503136 26679882320 27117257440 27191551296 27266253360 27834300305 28013876436 28138685120 28473120312 28732180960 29203200320 29283209088 29538441140 29740759230 30491294080 30700138560 31015363197 31203419520 31723476512 31810628920 32015858784 32540708928 33401160366 33766422144 33989439120 34478617152 35017345545 35043840384 35446129368 35591400390 36355004480 36604011360 36739510080 37351835248 37964160416 38172754704 38845073280 39654345640 40019823480 40675886160 41353817596 42208027680 42687811712 43098271440 43626005376 43804800480 44307661710 44534880488 45319252160 45736941120 46486727040 46689794060 47261505824 47455200520 47585214768 47715943380 48805348480 49255167360 50897006272 51692271995 53359764640 54234514880 54383102592 54532506720 55668600610 56027752872 56277370240 56946240624 57464361920 58406400640 59076882280 59481518460 61400277120 62030726394 63446953024 63621257840 64031717568 65081417856 66802320732 67978878240 68957234304 70034691090 70892258736 71182800780 72369180793 72710008960 73208022720 73479020160 74703670496 75928320832 76345509408 79308691280 80039646960 81351772320 82707635192 83502900915 84416055360 86196542880 87609600960 88615323420 89069760976 90638504320 91473882240 93379588120 94523011648 94910401040 95170429536 95431886760 101794012544 103384543990 106719529280 108469029760 109065013440 111337201220 112055505744 113892481248 114928723840 118153764560 118963036920 124061452788 126893906048 127242515680 128063435136 133604641464 135957756480 140069382180 141784517472 142365601560 144738361586 146416045440 149407340992 151856641664 152691018816 155076815985 158617382560 160079293920 162703544640 165415270384 167005801830 168832110720 172393085760 175219201920 177230646840 178139521952 186759176240 189046023296 189820802080 190340859072 190863773520 206769087980 213439058560 217107542379 218130026880 222674402440 224111011488 227784962496 236307529120 237926073840 248122905576 254485031360 267209282928 271915512960 280138764360 283569034944 284731203120 289476723172 298814681984 305382037632 310153631970 317234765120 320158587840 325407089280 330830540768 334011603660 344786171520 354461293680 356279043904 361845903965 373518352480 379641604160 380681718144 381727547040 413538175960 434215084758 445348804880 448222022976 455569924992 472615058240 475852147680 496245811152 508970062720 534418565856 560277528720 567138069888 569462406240 578953446344 620307263940 634469530240 640317175680 661661081536 668023207320 708922587360 712558087808 723691807930 747036704960 759283208320 763455094080 827076351920 868430169516 890697609760 896444045952 945230116480 951704295360 992491622304 1068837131712 1085537711895 1120555057440 1138924812480 1157906892688 1240614527880 1323322163072 1336046414640 1417845174720 1447383615860 1494073409920 1526910188160 1654152703840 1736860339032 1781395219520 1903408590720 1984983244608 2137674263424 2171075423790 2241110114880 2277849624960 2315813785376 2481229055760 2672092829280 2835690349440 2894767231720 3308305407680 3473720678064 3562790439040 3969966489216 4342150847580 4482220229760 4631627570752 4962458111520 5344185658560 5789534463440 6616610815360 6947441356128 8684301695160 9263255141504 9924916223040 10688371317120 11579068926880 13894882712256 17368603390320 19849832446080 23158137853760 27789765424512 34737206780640 46316275707520 69474413561280 138948827122560
- Sum of all divisors σ(n): 590819625123840
- Sum of proper divisors (its aliquot sum) s(n): 451870798001280
- 138948827122560 is an abundant number, because the sum of its proper divisors (451870798001280) is greater than itself. Its abundance is 312921970878720
Bases of 138948827122560
- Binary: 111111001011111100010110111101110001011100000002
- Hexadecimal: 0x7E5F8B7B8B80
- Base-36: 1D947K46TC
Squares and roots of 138948827122560
- 138948827122560 squared (1389488271225602) is 19306776558735065489260953600
- 138948827122560 cubed (1389488271225603) is 2682653958353572488539560225985249673216000
-
The
square root of 138948827122560 is 11787655.7093664727 -
The
cube root of 138948827122560 is 51794.6570422919
Scales and comparisons
How big is 138948827122560?- 138,948,827,122,560 seconds is equal to 4,418,142 years, 47 weeks, 14 hours, 56 minutes.
-
To count from 1 to 138,948,827,122,560 would take you about eleven million, forty-five thousand, three hundred fifty-seven 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 138948827122560 cubic inches would be around 4316.2 feet tall.
Recreational maths with 138948827122560
- 138948827122560 backwards is 065221728849831
- The number of decimal digits it has is: 15
- The sum of 138948827122560's digits is 66
- More coming soon!
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"Number 138948827122560 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 138948827122560 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/138948827122560/
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The information we have on file for 138948827122560 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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