138337313855510328
138,337,313,855,510,328 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138337313855510328 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
138337313855510328 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138337313855510328:
23 × 3 × 132 × 612 × 67 × 127 × 991 × 1087
(2 × 2 × 2 × 3 × 13 × 13 × 61 × 61 × 67 × 127 × 991 × 1087)See below for interesting mathematical facts about the number 138337313855510328 from the Numbermatics database.
Names of 138337313855510328
- Cardinal: 138337313855510328 can be written as One hundred thirty-eight quadrillion, three hundred thirty-seven trillion, three hundred thirteen billion, eight hundred fifty-five million, five hundred ten thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38337313855510328 × 1017
Factors of 138337313855510328
Divisors of 138337313855510328
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 12 13 24 26 39 52 61 67 78 104 122 127 134 156 169 183 201 244 254 268 312 338 366 381 402 488 507 508 536 676 732 762 793 804 871 991 1014 1016 1087 1352 1464 1524 1586 1608 1651 1742 1982 2028 2174 2379 2613 2973 3048 3172 3261 3302 3484 3721 3964 4056 4087 4348 4758 4953 5226 5946 6344 6522 6604 6968 7442 7747 7928 8174 8509 8696 9516 9906 10309 10452 11163 11323 11892 12261 12883 13044 13208 14131 14884 15494 16348 17018 19032 19812 20618 20904 21463 22326 22646 23241 23784 24522 25527 25766 26088 28262 29768 30927 30988 32696 33969 34036 38649 39624 41236 42393 42926 44652 45292 46482 48373 49044 51054 51532 53131 56524 60451 61854 61976 64389 66307 66397 67938 68072 72829 77298 82472 84786 85852 89304 90584 92964 96746 98088 100711 102108 103064 106262 110617 113048 120902 123708 125857 128778 132614 132794 135876 138049 145119 145658 154596 159393 167479 169572 171704 181353 183703 185928 193492 198921 199191 201422 204216 212524 218487 221234 241804 247416 249307 251714 257556 265228 265588 271752 276098 290238 291316 302133 309192 318786 331851 334958 339144 362706 367406 377571 386984 397842 398382 402844 414147 425048 436974 442468 472567 483608 498614 502437 503428 515112 519049 530456 531176 551109 552196 580476 582632 604266 628849 637572 663702 669916 690703 725412 734812 747921 755142 785863 795684 796764 805688 828294 861991 863161 873948 884936 945134 946777 997228 1004874 1006856 1038098 1077217 1102218 1104392 1160952 1208532 1257698 1275144 1309243 1327404 1339832 1381406 1417701 1438021 1450824 1469624 1495842 1510284 1557147 1571726 1591368 1593528 1636141 1656588 1723982 1726322 1747896 1794637 1886547 1890268 1893554 1994456 2009748 2072109 2076196 2154434 2204436 2357589 2417064 2515396 2585973 2589483 2618486 2654808 2762812 2835402 2840331 2876042 2991684 3020568 3114294 3143452 3231651 3240991 3272282 3313176 3447964 3452644 3589274 3687511 3773094 3780536 3787108 3927729 4019496 4044727 4050217 4144218 4152392 4308868 4314063 4408872 4442569 4715178 4908423 5030792 5171946 5178966 5236972 5383911 5525624 5670804 5680662 5752084 5983368 6143371 6228588 6286904 6463302 6481982 6544564 6747637 6895928 6905288 7178548 7375022 7546188 7574216 7677277 7855458 8089454 8100434 8288436 8420989 8432419 8617736 8628126 8885138 9249283 9430356 9722973 9816846 10216219 10343892 10357932 10473944 10767822 11062533 11205883 11221093 11341608 11361324 11504168 12134181 12150651 12286742 12308101 12457176 12926604 12963964 13089128 13327707 13495274 14003821 14357096 14750044 15092376 15354554 15710916 16178908 16200868 16576872 16841978 16864838 17256252 17770276 18430113 18498566 18860712 19445946 19633692 20242911 20432438 20687784 20715864 21269833 21535644 22125066 22411766 22442186 22722648 23031831 23330281 24268362 24301302 24573484 24616202 25262967 25297257 25853208 25927928 26655414 26990548 27747849 28007642 29500088 30648657 30709108 31421832 31661989 32357816 32401736 33617649 33663279 33683956 33729676 34512504 35540552 36860226 36924303 36997132 38891892 39267384 40485822 40864876 42011463 42132883 42539666 43071288 44250132 44823532 44884372 46063662 46660562 47937643 48536724 48602604 49146968 49232404 50525934 50594514 52581451 52652821 53310828 53981096 55495698 56015284 57753397 61297314 61418216 63323978 63809499 65710237 67235298 67326558 67367912 67459352 69990843 72173539 73720452 73848606 73994264 77783784 79863823 80971644 81729752 84022926 84265766 85079332 87719281 88500264 89647064 89768744 92127324 93321124 94985967 95875286 97073448 97205208 98464808 99804601 101051868 101189028 105162902 105305642 106621656 109472857 109621447 110991396 112030568 115506794 120240679 122594628 126398649 126647956 127618998 131420474 134470596 134653116 136806559 139981686 143812929 144347078 147440904 147697212 157744353 157958463 159727646 161943288 168045852 168531532 170158664 173260191 175438562 182049673 184254648 186642248 189971934 191750572 197130711 199609202 202103736 202378056 210325804 210611284 216520617 218945714 219242894 221982792 231013588 239591469 240481358 245189256 247063237 252797298 253295912 255237996 262840948 263157843 268941192 269306232 270996709 273613118 279963372 287625858 288694156 295394424 299413803 315488706 315916926 319455292 328418571 328864341 336091704 337063064 346520382 350877124 360722037 364099346 379943868 383501144 394261422 399218404 410419677 411605857 420651608 421222568 433041234 437891428 438485788 462027176 468313897 479182938 480962716 494126474 505594596 510475992 513680329 514377559 525681896 526315686 541993418 546149019 547226236 559926744 564206263 575251716 577388312 598827606 623189359 630977412 631833852 638910584 656837142 657728682 683558863 684486673 693040764 701754248 721444074 728198692 741189711 750794161 759887736 788522844 798436808 812990127 820839354 823211714 854233081 866082468 875782856 876971576 936627794 938256007 958365876 961925432 988252948 1011189192 1027360658 1028755118 1052631372 1083986836 1092298038 1094452472 1128412526 1150503432 1197655212 1234817571 1246378718 1261954824 1263667704 1297459813 1313674284 1315457364 1367117726 1368973346 1386081528 1404941691 1423147141 1425078811 1442888148 1456397384 1482379422 1501588322 1541040987 1543132677 1563128827 1577045688 1625980254 1641678708 1646423428 1692618789 1708466162 1732164936 1778485267 1869568077 1873255588 1876512014 1916731752 1976505896 2050676589 2053460019 2054721316 2057510236 2105262744 2167973672 2184596076 2252382483 2256825052 2395310424 2469635142 2492757436 2562699243 2594919626 2627348568 2630914728 2734235452 2737946692 2809883382 2814768021 2846294282 2850157622 2885776296 2964758844 3003176644 3082081974 3086265354 3126257654 3211822081 3251960508 3283357416 3292846856 3385237578 3416932324 3522957217 3556970534 3739136154 3746511176 3753024028 3892379439 4008324457 4101353178 4106920038 4109442632 4115020472 4269441423 4275236433 4369192152 4402585879 4504764966 4513650104 4689386481 4939270284 4985514872 5125398486 5189839252 5335455801 5350876141 5468470904 5475893384 5619766764 5629536042 5692588564 5700315244 5929517688 6006353288 6088080661 6164163948 6172530708 6252515308 6423644162 6503921016 6677844277 6686908267 6770475156 6833864648 7045914434 7113941068 7334681419 7478272308 7506048056 7784758878 8016648914 8202706356 8213840076 8345200099 8538882846 8550472866 8805171758 9009529932 9166039453 9378772962 9635466243 9878540568 10250796972 10379678504 10568871651 10670911602 10701752282 11105030053 11239533528 11259072084 11385177128 11400630488 12024973371 12176161322 12197328091 12328327896 12345061416 12505030616 12847288324 13207757637 13355688554 13373816534 13540950312 14091828868 14227882136 14669362838 14956544616 15569517756 16033297828 16052628423 16405412712 16427680152 16690400198 17077765692 17100945732 17610343516 18019059864 18264241983 18332078906 18757545924 19270932486 20033532831 20060724801 20501593944 21137743302 21341823204 21403504564 22004044257 22210060106 22518144168 23120308471 24049946742 24352322644 24394656182 25035600297 25694576648 26415515274 26711377108 26747633068 27498118359 28183657736 29338725676 31139035512 31377031099 32066595656 32105256846 33315090159 33380800396 34155531384 34201891464 34416582043 35220687032 36528483966 36591984273 36664157812 37515091848 38541864972 40067065662 40121449602 41753687053 42275486604 42683646408 42807009128 44008088514 44420120212 45798443821 46240616942 48099893484 48704645288 48789312364 50071200594 52108217941 52831030548 53422754216 53495266136 54996236718 57233616427 58677451352 62754062198 64210513692 66630180318 66761600792 68833164086 69360925413 73056967932 73183968546 73328315624 77083729944 79145048593 80134131324 80242899204 83507374106 84550973208 86811975601 86929807471 88016177028 88840240424 91596887642 92481233884 94131093297 95350858447 96199786968 97578624728 100142401188 103249746129 104216435882 105662061096 108487601287 109992473436 114467232854 119158512889 125261061159 125508124396 128421027384 133260360636 137395331463 137666328172 138721850826 146113935864 146367937092 156324653823 158290097186 160268262648 160485798408 167014748212 171700849281 173623951202 173859614942 176032354056 183193775284 184962467768 188262186594 190701716894 200284802376 206499492258 208432871764 216975202574 219984946872 228934465708 237435145779 238317025778 250522122318 251016248792 260435926803 260789422413 266520721272 268557738619 274790662926 275332656344 277443701652 286052575341 292735874184 312649307646 316580194372 325462803861 334029496424 343401698562 347247902404 347719229884 357475538667 366387550568 376524373188 381403433788 407901404287 412998984516 416865743528 433950405148 447415566559 457868931416 474870291558 476634051556 501044244636 509057206039 520871853606 521578844826 537115477238 549581325852 554887403304 559128406633 572105150682 625298615292 633160388744 650925607722 677406833233 686803397124 694495804808 695438459768 714951077334 744037013551 753048746376 762806867576 805673215857 815802808574 825997969032 867900810296 894831133118 949740583116 953268103112 1002088489272 1018114412078 1041743707212 1043157689652 1074230954476 1099162651704 1118256813266 1144210301364 1223704212861 1250597230584 1301851215444 1342246699677 1354813666466 1373606794248 1410338816731 1429902154668 1488074027102 1527171618117 1549060667557 1611346431714 1631605617148 1677385219899 1789662266236 1899481166232 2032220499699 2036228824156 2083487414424 2086315379304 2148461908952 2232111040653 2236513626532 2288420602728 2447408425722 2603702430888 2684493399354 2709627332932 2820677633462 2859804309336 2976148054204 3054343236234 3098121335114 3222692863428 3263211234296 3354770439798 3491250602047 3579324532472 4064440999398 4072457648312 4231016450193 4464222081306 4473027253064 4647182002671 4894816851444 5302718255731 5368986798708 5419254665864 5641355266924 5816402365267 5952296108408 6108686472468 6196242670228 6445385726856 6617743678507 6709540879596 6982501204094 7268669286229 8128881998796 8462032900386 8928444162612 9294364005342 9789633702888 10473751806141 10605436511462 10737973597416 11282710533848 11632804730534 12217372944936 12392485340456 13235487357014 13419081759192 13965002408188 14537338572458 15908154767193 16257763997592 16924065800772 17449207095801 17856888325224 18588728010684 19853231035521 20947503612282 21210873022924 21806007858687 23265609461068 26470974714028 27930004816376 29074677144916 31816309534386 33848131601544 34106832804613 34898414191602 37177456021368 39706462071042 41895007224564 42421746045848 43612015717374 45386257826611 46531218922136 52941949428056 58149354289832 63632619068772 68213665609226 69796828383204 79412924142084 83790014449128 86030667820591 87224031434748 90772515653222 94492700720977 102320498413839 127265238137544 136158773479833 136427331218452 139593656766408 158825848284168 172061335641182 174448062869496 181545031306444 188985401441954 204640996827678 258092003461773 272317546959666 272854662436904 283478102162931 344122671282364 363090062612888 377970802883908 409281993655356 443388826459969 516184006923546 544635093919332 566956204325862 688245342564728 755941605767816 818563987310712 886777652919938 1032368013847092 1089270187838664 1133912408651724 1330166479379907 1773555305839876 2064736027694184 2267824817303448 2660332958759814 3547110611679752 5320665917519628 5764054743979597 10641331835039256 11528109487959194 17292164231938791 23056218975918388 34584328463877582 46112437951836776 69168656927755164 138337313855510328
- Sum of all divisors σ(n): 390209763079618560
- Sum of proper divisors (its aliquot sum) s(n): 251872449224108232
- 138337313855510328 is an abundant number, because the sum of its proper divisors (251872449224108232) is greater than itself. Its abundance is 113535135368597904
Bases of 138337313855510328
- Binary: 1111010110111100100001101110100111000101000010111001110002
- Hexadecimal: 0x1EB790DD38A1738
- Base-36: 11U4HGNDZ0OO
Squares and roots of 138337313855510328
- 138337313855510328 squared (1383373138555103282) is 19137212404757969770435249314667584
- 138337313855510328 cubed (1383373138555103283) is 2647390558756568814777398709595349902714831998807552
-
The
square root of 138337313855510328 is 371937244.5124450401 -
The
cube root of 138337313855510328 is 517185.6260530215
Scales and comparisons
How big is 138337313855510328?- 138,337,313,855,510,328 seconds is equal to 4,398,698,675 years, 10 weeks, 2 days, 2 hours, 38 minutes, 48 seconds.
-
To count from 1 to 138,337,313,855,510,328 would take you about thirteen billion, one hundred ninety-six million, ninety-six thousand and twenty-five 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 138337313855510328 cubic inches would be around 43098.8 feet tall.
Recreational maths with 138337313855510328
- 138337313855510328 backwards is 823015558313733831
- The number of decimal digits it has is: 18
- The sum of 138337313855510328's digits is 69
- More coming soon!
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"Number 138337313855510328 - Facts about the integer". Numbermatics.com. 2024. Web. 28 September 2024.
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Numbermatics. (2024). Number 138337313855510328 - Facts about the integer. Retrieved 28 September 2024, from https://numbermatics.com/n/138337313855510328/
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The information we have on file for 138337313855510328 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 138337313855510328, math, Factors of 138337313855510328, curriculum, school, college, exams, university, Prime factorization of 138337313855510328, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred thirty-seven trillion, three hundred thirteen billion, eight hundred fifty-five million, five hundred ten thousand, three hundred twenty-eight.