138538465067520
138,538,465,067,520 is an even composite number composed of seven prime numbers multiplied together.
138538465067520 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 138538465067520:
29 × 33 × 5 × 7 × 17 × 257 × 65537
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 17 × 257 × 65537)See below for interesting mathematical facts about the number 138538465067520 from the Numbermatics database.
Names of 138538465067520
- Cardinal: 138538465067520 can be written as One hundred thirty-eight trillion, five hundred thirty-eight billion, four hundred sixty-five million, sixty-seven thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.3853846506752 × 1014
Factors of 138538465067520
Divisors of 138538465067520
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 27 28 30 32 34 35 36 40 42 45 48 51 54 56 60 63 64 68 70 72 80 84 85 90 96 102 105 108 112 119 120 126 128 135 136 140 144 153 160 168 170 180 189 192 204 210 216 224 238 240 252 255 256 257 270 272 280 288 306 315 320 336 340 357 360 378 384 408 420 432 448 459 476 480 504 510 512 514 540 544 560 576 595 612 630 640 672 680 714 720 756 765 768 771 816 840 864 896 918 945 952 960 1008 1020 1028 1071 1080 1088 1120 1152 1190 1224 1260 1280 1285 1344 1360 1428 1440 1512 1530 1536 1542 1632 1680 1728 1785 1792 1799 1836 1890 1904 1920 2016 2040 2056 2142 2160 2176 2240 2295 2304 2313 2380 2448 2520 2560 2570 2688 2720 2856 2880 3024 3060 3084 3213 3264 3360 3456 3570 3584 3598 3672 3780 3808 3840 3855 4032 4080 4112 4284 4320 4352 4369 4480 4590 4608 4626 4760 4896 5040 5140 5355 5376 5397 5440 5712 5760 6048 6120 6168 6426 6528 6720 6912 6939 7140 7196 7344 7560 7616 7680 7710 8064 8160 8224 8568 8640 8704 8738 8960 8995 9180 9252 9520 9792 10080 10280 10710 10752 10794 10880 11424 11520 11565 12096 12240 12336 12852 13056 13107 13440 13824 13878 14280 14392 14688 15120 15232 15420 16065 16128 16191 16320 16448 17136 17280 17476 17920 17990 18360 18504 19040 19584 20160 20560 21420 21588 21760 21845 22848 23040 23130 24192 24480 24672 25704 26112 26214 26880 26985 27756 28560 28784 29376 30240 30464 30583 30840 32130 32256 32382 32640 32896 34272 34560 34695 34952 35980 36720 37008 38080 39168 39321 40320 41120 42840 43176 43520 43690 45696 46260 48384 48573 48960 49344 51408 52428 53760 53970 55512 57120 57568 58752 60480 60928 61166 61680 64260 64764 65280 65535 65537 65792 68544 69120 69390 69904 71960 73440 74016 76160 78336 78642 80640 80955 82240 85680 86352 87380 91392 91749 92520 96768 97146 97920 98688 102816 104856 107940 111024 114240 115136 117504 117963 120960 122332 123360 128520 129528 130560 131070 131074 131584 137088 138780 139808 143920 146880 148032 152320 152915 157284 161280 161910 164480 171360 172704 174760 182784 183498 185040 194292 195840 196605 196611 197376 205632 209712 215880 222048 228480 230272 235008 235926 241920 242865 244664 246720 257040 259056 262140 262148 274176 275247 277560 279616 287840 293760 296064 304640 305830 314568 323820 327685 328960 342720 345408 349520 366996 370080 388584 391680 393210 393222 394752 411264 419424 431760 444096 456960 458745 458759 460544 471852 483840 485730 489328 493440 514080 518112 524280 524296 548352 550494 555120 559232 575680 587520 589815 589833 592128 611660 629136 647640 655370 657920 685440 690816 699040 733992 740160 777168 786420 786444 822528 825741 838848 863520 888192 913920 917490 917518 921088 943704 971460 978656 983055 986880 1028160 1036224 1048560 1048592 1100988 1110240 1114129 1118464 1151360 1175040 1179630 1179666 1184256 1223320 1258272 1295280 1310740 1370880 1376235 1376277 1381632 1398080 1467984 1480320 1554336 1572840 1572888 1645056 1651482 1677696 1727040 1769499 1776384 1834980 1835036 1887408 1942920 1957312 1966110 1973760 2056320 2072448 2097120 2097184 2201976 2220480 2228258 2236928 2293795 2302720 2359260 2359332 2446640 2516544 2590560 2621480 2741760 2752470 2752554 2763264 2796160 2935968 2949165 2960640 3108672 3145680 3145776 3302964 3342387 3355392 3454080 3538998 3552768 3669960 3670072 3774816 3885840 3914624 3932220 4112640 4128705 4128831 4144896 4194240 4194368 4403952 4440960 4456516 4587590 4605440 4718520 4718664 4893280 5033088 5181120 5242960 5504940 5505108 5570645 5592320 5871936 5898330 5921280 6217344 6291360 6291552 6605928 6684774 6710784 6881385 6908160 7077996 7339920 7340144 7549632 7771680 7798903 7829248 7864440 8225280 8257410 8257662 8289792 8388480 8388736 8807904 8847495 8881920 8913032 9175180 9437040 9437328 9786560 10027161 10066176 10362240 10485920 11009880 11010216 11141290 11184640 11743872 11796660 12386493 12434688 12582720 12583104 13211856 13369548 13762770 13816320 14155992 14679840 14680288 15099264 15543360 15597806 15658496 15728880 16514820 16515324 16711935 16776960 16777472 16843009 17615808 17694990 17763840 17826064 18350360 18874080 18874656 19573120 20054322 20132352 20644155 20724480 20971840 22019760 22020432 22282580 23396709 23487744 23593320 24772986 24869376 25165440 25166208 26423712 26739096 27525540 28311984 29359680 29360576 30081483 30198528 31086720 31195612 31457760 33029640 33030648 33423870 33553920 33554944 33686018 35231616 35389980 35652128 36700720 37748160 37749312 38994515 39146240 40108644 41288310 41448960 41943680 44039520 44040864 44565160 46793418 46975488 47186640 49545972 50135805 50330880 50332416 50529027 52847424 53478192 55051080 56623968 58719360 58721152 60162966 60397056 61932465 62173440 62391224 62915520 66059280 66061296 66847740 67372036 70190127 70463232 70779960 71304256 73401440 75496320 75498624 77989030 78292480 80217288 82576620 83887360 84215045 88079040 88081728 89130320 93586836 94373280 99091944 100271610 100661760 100664832 101058054 105694848 106956384 110102160 113247936 116983545 117438720 117442304 117901063 120325932 123864930 124346880 124782448 125831040 132118560 132122592 133695480 134744072 140380254 140926464 141559920 142608512 146802880 150407415 150992640 150997248 151587081 155978060 160434576 165153240 167774720 168430090 176158080 176163456 178260640 187173672 188746560 198183888 200543220 202116108 210570381 211389696 213912768 220204320 226495872 233967090 234877440 234884608 235802126 240651864 247729860 249564896 251662080 252645135 264237120 264245184 267390960 269488144 280760508 283119840 285217024 286331153 293605760 300814830 301985280 301994496 303174162 311956120 320869152 330306480 336860180 350950635 352316160 352326912 353703189 356521280 374347344 377493120 396367776 401086440 404232216 421140762 422779392 427825536 440408640 452991744 454761243 467934180 471604252 481303728 495459720 499129792 503324160 505290270 528474240 528490368 534781920 538976288 561521016 566239680 570434048 572662306 587211520 589505315 601629660 606348324 623912240 641738304 660612960 673720360 701901270 704632320 704653824 707406378 713042560 748694688 754986240 757935405 792735552 802172880 808464432 842281524 855651072 858993459 880817280 905983488 909522486 935868360 943208504 962607456 990919440 998259584 1010580540 1052851905 1056948480 1056980736 1061109567 1069563840 1077952576 1123042032 1132479360 1145324612 1174423040 1179010630 1203259320 1212696648 1247824480 1283476608 1321225920 1347440720 1403802540 1414812756 1426085120 1431655765 1497389376 1509972480 1515870810 1585471104 1604345760 1616928864 1684563048 1711302144 1717986918 1761634560 1768515945 1819044972 1871736720 1886417008 1925214912 1981838880 1996519168 2004318071 2021161080 2105703810 2113896960 2113961472 2122219134 2139127680 2155905152 2246084064 2264958720 2273806215 2290649224 2358021260 2406518640 2425393296 2495648960 2566953216 2576980377 2642451840 2694881440 2807605080 2829625512 2852170240 2863311530 2994778752 3031741620 3170942208 3183328701 3208691520 3233857728 3369126096 3435973836 3523269120 3537031890 3638089944 3743473440 3772834016 3850429824 3963677760 3993038336 4008636142 4042322160 4211407620 4244438268 4278255360 4294967295 4311810304 4492168128 4529917440 4547612430 4581298448 4716042520 4813037280 4850786592 4991297920 5133906432 5153960754 5284903680 5305547835 5389762880 5615210160 5659251024 5726623060 5989557504 6012954213 6063483240 6341884416 6366657402 6417383040 6467715456 6738252192 6871947672 7074063780 7276179888 7486946880 7545668032 7700859648 7730941131 7927355520 8017272284 8084644320 8422815240 8488876536 8556510720 8589934590 8623620608 8984336256 9095224860 9162596896 9432085040 9626074560 9701573184 9982595840 10021590355 10307921508 10569807360 10611095670 10779525760 11230420320 11318502048 11453246120 11979115008 12025908426 12126966480 12733314804 12834766080 12884901885 12935430912 13476504384 13743895344 14148127560 14552359776 14973893760 15091336064 15401719296 15461882262 15854711040 15916643505 16034544568 16169288640 16845630480 16977753072 17179869180 17968672512 18038862639 18190449720 18325193792 18864170080 19252149120 19403146368 19965191680 20043180710 20615843016 21222191340 21559051520 22460840640 22637004096 22906492240 24051816852 24253932960 25466629608 25669532160 25769803770 25870861824 26953008768 27487790688 28296255120 29104719552 29947787520 30064771065 30182672128 30923764524 31709422080 31833287010 32069089136 32338577280 33691260960 33955506144 34359738360 35937345024 36077725278 36380899440 36650387584 37728340160 38504298240 38654705655 38806292736 40086361420 41231686032 42444382680 43118103040 44921681280 45274008192 45812984480 48103633704 48507865920 50933259216 51539607540 53906017536 54116587917 54975581376 56592510240 58209439104 59895575040 60129542130 60365344256 61847529048 63666574020 64138178272 64677154560 67382521920 67911012288 68719476720 72155450556 72761798880 73300775168 75456680320 77008596480 77309411310 77612585472 80172722840 82463372064 84888765360 89843362560 90194313195 90548016384 91625968960 96207267408 97015731840 101866518432 103079215080 107812035072 108233175834 109951162752 113185020480 116418878208 120259084260 123695058096 127333148040 128276356544 129354309120 134765043840 135822024576 137438953440 144310901112 145523597760 146601550336 150913360640 154618822620 160345445680 164926744128 169777530720 179686725120 180388626390 181096032768 183251937920 192414534816 194031463680 203733036864 206158430160 216466351668 219902325504 226370040960 232837756416 240518168520 247390116192 254666296080 256552713088 269530087680 270582939585 271644049152 274877906880 288621802224 291047195520 301826721280 309237645240 320690891360 329853488256 339555061440 360777252780 366503875840 384829069632 388062927360 407466073728 412316860320 432932703336 439804651008 452740081920 481036337040 494780232384 509332592160 513105426176 539060175360 541165879170 543288098304 549755813760 577243604448 582094391040 618475290480 641381782720 659706976512 679110122880 721554505560 733007751680 769658139264 814932147456 824633720640 865865406672 905480163840 962072674080 989560464768 1018665184320 1026210852352 1082331758340 1099511627520 1154487208896 1164188782080 1236950580960 1282763565440 1319413953024 1358220245760 1443109011120 1539316278528 1629864294912 1649267441280 1731730813344 1924145348160 1979120929536 2037330368640 2164663516680 2199023255040 2308974417792 2473901161920 2565527130880 2716440491520 2886218022240 3078632557056 3298534882560 3463461626688 3848290696320 3958241859072 4074660737280 4329327033360 4617948835584 4947802323840 5131054261760 5772436044480 6597069765120 6926923253376 7696581392640 8149321474560 8658654066720 9235897671168 9895604647680 11544872088960 13853846506752 15393162785280 17317308133440 19791209295360 23089744177920 27707693013504 34634616266880 46179488355840 69269232533760 138538465067520
- Sum of all divisors σ(n): 597808736363520
- Sum of proper divisors (its aliquot sum) s(n): 459270271296000
- 138538465067520 is an abundant number, because the sum of its proper divisors (459270271296000) is greater than itself. Its abundance is 320731806228480
Bases of 138538465067520
- Binary: 111110111111111111111111111111110000010000000002
- Hexadecimal: 0x7DFFFFFF8200
- Base-36: 1D3VOX56O0
Squares and roots of 138538465067520
- 138538465067520 squared (1385384650675202) is 19192906303264459318158950400
- 138538465067520 cubed (1385384650675203) is 2658955779438987716589103907589228331008000
-
The
square root of 138538465067520 is 11770236.4066113813 -
The
cube root of 138538465067520 is 51743.6178199851
Scales and comparisons
How big is 138538465067520?- 138,538,465,067,520 seconds is equal to 4,405,094 years, 34 weeks, 2 days, 19 hours, 12 minutes.
-
To count from 1 to 138,538,465,067,520 would take you about eleven million, twelve thousand, seven hundred thirty-six 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 138538465067520 cubic inches would be around 4312 feet tall.
Recreational maths with 138538465067520
- 138538465067520 backwards is 025760564835831
- 138538465067520 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138538465067520's digits is 63
- More coming soon!
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The information we have on file for 138538465067520 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!
Keywords: Divisors of 138538465067520, math, Factors of 138538465067520, curriculum, school, college, exams, university, Prime factorization of 138538465067520, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, five hundred thirty-eight billion, four hundred sixty-five million, sixty-seven thousand, five hundred twenty.