138302590353408
138,302,590,353,408 is an even composite number composed of five prime numbers multiplied together.
138302590353408 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred eighteen divisors.
Prime factorization of 138302590353408:
216 × 32 × 13 × 312 × 1372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 31 × 31 × 137 × 137)See below for interesting mathematical facts about the number 138302590353408 from the Numbermatics database.
Names of 138302590353408
- Cardinal: 138302590353408 can be written as One hundred thirty-eight trillion, three hundred two billion, five hundred ninety million, three hundred fifty-three thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.38302590353408 × 1014
Factors of 138302590353408
Divisors of 138302590353408
- Number of divisors d(n): 918
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 62 64 72 78 93 96 104 117 124 128 137 144 156 186 192 208 234 248 256 274 279 288 312 372 384 403 411 416 468 496 512 548 558 576 624 744 768 806 822 832 936 961 992 1024 1096 1116 1152 1209 1233 1248 1488 1536 1612 1644 1664 1781 1872 1922 1984 2048 2192 2232 2304 2418 2466 2496 2883 2976 3072 3224 3288 3328 3562 3627 3744 3844 3968 4096 4247 4384 4464 4608 4836 4932 4992 5343 5766 5952 6144 6448 6576 6656 7124 7254 7488 7688 7936 8192 8494 8649 8768 8928 9216 9672 9864 9984 10686 11532 11904 12288 12493 12741 12896 13152 13312 14248 14508 14976 15376 15872 16029 16384 16988 17298 17536 17856 18432 18769 19344 19728 19968 21372 23064 23808 24576 24986 25482 25792 26304 26624 28496 29016 29952 30752 31744 32058 32768 33976 34596 35072 35712 36864 37479 37538 38223 38688 39456 39936 42744 46128 47616 49152 49972 50964 51584 52608 53248 55211 56307 56992 58032 59904 61504 63488 64116 65536 67952 69192 70144 71424 73728 74958 75076 76446 77376 78912 79872 85488 92256 95232 98304 99944 101928 103168 105216 106496 110422 112437 112614 113984 116064 119808 123008 126976 128232 131657 135904 138384 140288 142848 147456 149916 150152 152892 154752 157824 159744 165633 168921 170976 184512 190464 196608 199888 203856 206336 210432 212992 220844 224874 225228 227968 232128 239616 243997 246016 253952 256464 263314 271808 276768 280576 285696 294912 299832 300304 305784 309504 315648 319488 331266 337842 341952 369024 380928 394971 399776 407712 412672 420864 425984 441688 449748 450456 455936 464256 479232 487994 492032 496899 507904 512928 526628 543616 553536 561152 571392 581839 589824 599664 600608 611568 619008 631296 638976 662532 675684 683904 731991 738048 761856 789942 799552 815424 825344 841728 851968 883376 899496 900912 911872 928512 958464 975988 984064 993798 1015808 1025856 1053256 1087232 1107072 1122304 1142784 1163678 1184913 1199328 1201216 1223136 1238016 1262592 1277952 1325064 1351368 1367808 1463982 1476096 1523712 1579884 1599104 1630848 1650688 1683456 1711541 1745517 1766752 1798992 1801824 1823744 1857024 1916928 1951976 1968128 1987596 2031616 2051712 2106512 2174464 2195973 2214144 2244608 2285568 2327356 2369826 2398656 2402432 2446272 2476032 2525184 2555904 2650128 2702736 2735616 2927964 2952192 3047424 3159768 3198208 3261696 3301376 3366912 3423082 3491034 3533504 3597984 3603648 3647488 3714048 3833856 3903952 3936256 3975192 4103424 4213024 4348928 4391946 4428288 4489216 4571136 4654712 4739652 4797312 4804864 4892544 4952064 5050368 5134623 5236551 5300256 5405472 5471232 5855928 5904384 6094848 6319536 6396416 6523392 6602752 6733824 6846164 6982068 7067008 7195968 7207296 7294976 7428096 7563907 7667712 7807904 7872512 7950384 8206848 8426048 8697856 8783892 8856576 8978432 9142272 9309424 9479304 9594624 9609728 9785088 9904128 10100736 10269246 10473102 10600512 10810944 10942464 11711856 11808768 12639072 12792832 13046784 13205504 13467648 13692328 13964136 14134016 14391936 14414592 14589952 14856192 15127814 15403869 15615808 15745024 15900768 16413696 16852096 17395712 17567784 17713152 18037009 18284544 18618848 18958608 19189248 19219456 19570176 19808256 20201472 20538492 20946204 21201024 21621888 21884928 22691721 23423712 23617536 25278144 25585664 26093568 26411008 26935296 27384656 27928272 28268032 28783872 28829184 29179904 29712384 30255628 30807738 31231616 31490048 31801536 32827392 33704192 34791424 35135568 35426304 36074018 37237696 37917216 38378496 38438912 39140352 39616512 40402944 41076984 41892408 42402048 43243776 43769856 45383442 46847424 47235072 50556288 51171328 52187136 54111027 54769312 55856544 56536064 57567744 57658368 58359808 59424768 60511256 61615476 62463232 62980096 63603072 65654784 67408384 68075163 69582848 70271136 70852608 72148036 74475392 75834432 76756992 76877824 78280704 79233024 80805888 82153968 83784816 84804096 86487552 87539712 90766884 93694848 94470144 101112576 102342656 104374272 108222054 109538624 111713088 113072128 115135488 115316736 116719616 118849536 121022512 123230952 124926464 127206144 131309568 134816768 136150326 139165696 140542272 141705216 144296072 148950784 151668864 153513984 153755648 156561408 162333081 164307936 167569632 169608192 172975104 175079424 181533768 187389696 188940288 202225152 204685312 208748544 216444108 219077248 223426176 226144256 230270976 230633472 234481117 237699072 242045024 246461904 249852928 254412288 262619136 269633536 272300652 278331392 281084544 283410432 288592144 297901568 303337728 307027968 307511296 313122816 324666162 328615872 335139264 339216384 345950208 350158848 363067536 374779392 404450304 409370624 417497088 432888216 438154496 446852352 452288512 460541952 461266944 468962234 484090048 492923808 499705856 508824576 525238272 539267072 544601304 562169088 566820864 577184288 595803136 606675456 614055936 615022592 626245632 649332324 657231744 670278528 678432768 691900416 703443351 726135072 749558784 808900608 818741248 834994176 865776432 876308992 893704704 904577024 921083904 922533888 937924468 968180096 985847616 999411712 1017649152 1050476544 1078534144 1089202608 1124338176 1154368576 1191606272 1213350912 1228111872 1230045184 1252491264 1298664648 1314463488 1340557056 1356865536 1383800832 1406886702 1452270144 1499117568 1617801216 1731552864 1752617984 1787409408 1809154048 1842167808 1845067776 1875848936 1936360192 1971695232 1998823424 2035298304 2110330053 2157068288 2178405216 2248676352 2308737152 2383212544 2426701824 2456223744 2504982528 2597329296 2628926976 2681114112 2713731072 2767601664 2813773404 2904540288 2998235136 3235602432 3463105728 3505235968 3574818816 3618308096 3684335616 3690135552 3751697872 3872720384 3943390464 3997646848 4070596608 4220660106 4314136576 4356810432 4497352704 4617474304 4766425088 4853403648 5194658592 5257853952 5362228224 5427462144 5535203328 5627546808 5809080576 5996470272 6471204864 6926211456 7010471936 7149637632 7368671232 7503395744 7745440768 7886780928 7995293696 8141193216 8441320212 8628273152 8713620864 8994705408 9234948608 9532850176 9706807296 10389317184 10515707904 10724456448 10854924288 11070406656 11255093616 11618161152 11992940544 12942409728 13852422912 14020943872 14299275264 15006791488 15490881536 15773561856 15990587392 16282386432 16882640424 17427241728 17989410816 18469897216 19065700352 19413614592 20778634368 21031415808 21448912896 22510187232 23236322304 23985881088 25884819456 27704845824 28041887744 28598550528 30013582976 30981763072 31547123712 32564772864 33765280848 34854483456 35978821632 36939794432 38131400704 38827229184 41557268736 42062831616 42897825792 45020374464 46472644608 47971762176 55409691648 56083775488 57197101056 60027165952 61963526144 63094247424 67530561696 69708966912 71957643264 73879588864 77654458368 83114537472 84125663232 85795651584 90040748928 92945289216 110819383296 112167550976 114394202112 120054331904 123927052288 126188494848 135061123392 139417933824 143915286528 147759177728 166229074944 168251326464 171591303168 180081497856 185890578432 221638766592 240108663808 247854104576 252376989696 270122246784 278835867648 295518355456 332458149888 336502652928 343182606336 360162995712 371781156864 443277533184 480217327616 495708209152 504753979392 540244493568 557671735296 591036710912 664916299776 720325991424 743562313728 886555066368 960434655232 1009507958784 1080488987136 1115343470592 1182073421824 1329832599552 1440651982848 1487124627456 1773110132736 1920869310464 2160977974272 2230686941184 2659665199104 2881303965696 3546220265472 3841738620928 4321955948544 4461373882368 5319330398208 5762607931392 7683477241856 8643911897088 10638660796416 11525215862784 15366954483712 17287823794176 23050431725568 34575647588352 46100863451136 69151295176704 138302590353408
- Sum of all divisors σ(n): 447867835182222
- Sum of proper divisors (its aliquot sum) s(n): 309565244828814
- 138302590353408 is an abundant number, because the sum of its proper divisors (309565244828814) is greater than itself. Its abundance is 171262654475406
Bases of 138302590353408
- Binary: 111110111001001000101001100010100000000000000002
- Hexadecimal: 0x7DC914C50000
- Base-36: 1D0VBZFGG0
Squares and roots of 138302590353408
- 138302590353408 squared (1383025903534082) is 19127606498462583578337214464
- 138302590353408 cubed (1383025903534083) is 2645397525998055484384169391009660049293312
-
The
square root of 138302590353408 is 11760212.1729757921 -
The
cube root of 138302590353408 is 51714.2350192383
Scales and comparisons
How big is 138302590353408?- 138,302,590,353,408 seconds is equal to 4,397,594 years, 29 weeks, 6 days, 9 hours, 16 minutes, 48 seconds.
-
To count from 1 to 138,302,590,353,408 would take you about ten million, nine hundred ninety-three thousand, nine hundred eighty-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 138302590353408 cubic inches would be around 4309.5 feet tall.
Recreational maths with 138302590353408
- 138302590353408 backwards is 804353095203831
- The number of decimal digits it has is: 15
- The sum of 138302590353408's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138302590353408 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 138302590353408 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138302590353408/
Chicago style:
Numbermatics. 2024. "Number 138302590353408 - Facts about the integer". https://numbermatics.com/n/138302590353408/
The information we have on file for 138302590353408 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 138302590353408, math, Factors of 138302590353408, curriculum, school, college, exams, university, Prime factorization of 138302590353408, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred two billion, five hundred ninety million, three hundred fifty-three thousand, four hundred eight.