138270733773756480
138,270,733,773,756,480 is an even composite number composed of six prime numbers multiplied together.
138270733773756480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred sixty-four divisors.
Prime factorization of 138270733773756480:
26 × 32 × 5 × 136 × 532 × 3541
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 13 × 13 × 13 × 13 × 53 × 53 × 3541)See below for interesting mathematical facts about the number 138270733773756480 from the Numbermatics database.
Names of 138270733773756480
- Cardinal: 138270733773756480 can be written as One hundred thirty-eight quadrillion, two hundred seventy trillion, seven hundred thirty-three billion, seven hundred seventy-three million, seven hundred fifty-six thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3827073377375648 × 1017
Factors of 138270733773756480
Divisors of 138270733773756480
- Number of divisors d(n): 1764
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 53 60 64 65 72 78 80 90 96 104 106 117 120 130 144 156 159 160 169 180 192 195 208 212 234 240 260 265 288 312 318 320 338 360 390 416 424 468 477 480 507 520 530 576 585 624 636 676 689 720 780 795 832 845 848 936 954 960 1014 1040 1060 1170 1248 1272 1352 1378 1440 1521 1560 1590 1690 1696 1872 1908 2028 2067 2080 2120 2197 2340 2385 2496 2535 2544 2704 2756 2809 2880 3042 3120 3180 3380 3392 3445 3541 3744 3816 4056 4134 4160 4240 4394 4680 4770 5070 5088 5408 5512 5618 6084 6201 6240 6360 6591 6760 6890 7082 7488 7605 7632 8112 8268 8427 8480 8788 8957 9360 9540 10140 10176 10335 10623 10816 10985 11024 11236 12168 12402 12480 12720 13182 13520 13780 14045 14164 15210 15264 16224 16536 16854 16960 17576 17705 17914 18720 19080 19773 20280 20670 21246 21970 22048 22472 24336 24804 25281 25440 26364 26871 27040 27560 28090 28328 28561 30420 30528 31005 31869 32448 32955 33072 33708 35152 35410 35828 36517 37440 38160 39546 40560 41340 42135 42492 43940 44096 44785 44944 46033 48672 49608 50562 50880 52728 53115 53742 54080 55120 56180 56656 57122 60840 62010 63738 65910 66144 67416 70304 70820 71656 73034 76320 79092 80613 81120 82680 84270 84984 85683 87880 89570 89888 92066 97344 98865 99216 101124 105456 106230 107484 109551 110240 112360 113312 114244 116441 121680 124020 126405 127476 131820 132288 134355 134832 138099 140608 141640 142805 143312 146068 152640 158184 159345 161226 162240 165360 168540 169968 171366 175760 179140 179776 182585 184132 187673 197730 198432 202248 210912 212460 214968 219102 220480 224720 226624 228488 230165 232882 243360 248040 252810 254952 257049 263640 268710 269664 276198 283280 285610 286624 292136 316368 318690 322452 328653 330720 337080 339936 342732 349323 351520 358280 365170 368264 371293 375346 395460 396864 403065 404496 414297 421824 424920 428415 429936 438204 449440 456976 460330 465764 474721 486720 496080 505620 509904 514098 527280 537420 539328 547755 552396 563019 566560 571220 573248 582205 584272 598429 632736 637380 644904 657306 661440 674160 679872 685464 690495 698646 703040 716560 730340 736528 742586 750692 790920 806130 808992 828594 849840 856830 859872 876408 898880 913952 920660 931528 938365 949442 992160 1011240 1019808 1028196 1047969 1054560 1074840 1095510 1104792 1113879 1126038 1133120 1142440 1164410 1168544 1196858 1265472 1274760 1285245 1289808 1314612 1348320 1370928 1380990 1397292 1424163 1433120 1460680 1473056 1485172 1501384 1513733 1581840 1612260 1617984 1643265 1657188 1689057 1699680 1713660 1719744 1746615 1752816 1795287 1827904 1841320 1856465 1863056 1876730 1898884 1984320 2022480 2039616 2056392 2071485 2095938 2109120 2149680 2191020 2209584 2227758 2252076 2284880 2328820 2337088 2373605 2393716 2439749 2549520 2570490 2579616 2629224 2696640 2741856 2761980 2794584 2815095 2848326 2866240 2921360 2946112 2970344 2992145 3002768 3027466 3163680 3224520 3286530 3314376 3341637 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196785290 197483936 198933380 202269002 213864768 215434440 217206405 217977552 219577410 222169428 227866080 231686832 233387310 234215904 236142348 238720056 240683547 242197280 246854920 248946464 253733896 255820877 258613394 267330960 270249120 272471940 273439296 277711785 280064772 285450633 287245920 289608540 290636736 292769880 295177935 296225904 298400070 303403503 308915776 311183080 314856464 317167370 318293408 320911396 335350080 341799120 344695104 347530248 350080965 351323856 354213522 356441280 358080084 363295920 370282380 373419696 380600844 386144720 387920091 390359840 393570580 394967872 397866760 401139245 404538004 412317581 430868880 434412810 435955104 439154820 444338856 447600105 455732160 463373664 466774620 468431808 472284696 475751055 477440112 481367094 484394560 493709840 497892928 505672505 507467792 511641754 517226788 534661920 540498240 544943880 555423570 560129544 570901266 574491840 579217080 585539760 590355870 592451808 596800140 606807006 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147352825152 148434329160 150186533328 151288835490 153825576021 157769821560 160803856590 161374757856 162702077772 166873925920 170917306690 171524113696 174822654344 184191031440 186201643680 187733166660 189323785872 192964627908 196675486137 197912438880 200248711104 201718447320 203377597215 205100768028 209045013567 210359762080 214405142120 216936103696 218528317930 231056205120 236654732340 237494926656 241205784885 242062136784 244053116658 245588041920 250310888880 252431714496 256375960035 257286170544 262233981516 268957929760 271170129620 273467690704 278726684756 284086813309 291267362880 296868658320 300373066656 302577670980 307651152042 315539643120 321607713180 322749515712 325404155544 327792476895 333747851840 341834613380 343048227392 348408355945 349645308688 368382062880 372403287360 375466333320 378647571744 385929255816 393350972274 395824877760 403436894640 406755194430 410201536056 418090027134 420719524160 428810284240 433872207392 437056635860 473309464680 482411569770 484124273568 488106233316 500621777760 512751920070 514572341088 524467963032 537915859520 542340259240 546935381408 557453369512 568173626618 593737316640 600746133312 605155341960 610132791645 615302304084 627135040701 631079286240 643215426360 650808311088 655584953790 683669226760 696816711890 699290617376 736764125760 750932666640 757295143488 769127880105 771858511632 786701944548 806873789280 813510388860 820403072112 836180054268 852260439927 857620568480 867744414784 874113271720 905861725457 946618929360 964823139540 968248547136 976212466632 983377430685 1001243555520 1025503840140 1029144682176 1045225067835 1048935926064 1084680518480 1093870762816 1114906739024 1136347253236 1187474633280 1210310683920 1220265583290 1230604608168 1254270081402 1262158572480 1286430852720 1301616622176 1311169907580 1367338453520 1393633423780 1398581234752 1420434066545 1501865333280 1538255760210 1543717023264 1573403889096 1613747578560 1627020777720 1640806144224 1672360108536 1704520879854 1715241136960 1748226543440 1811723450914 1893237858720 1929646279080 1952424933264 1966754861370 2051007680280 2090450135670 2097871852128 2169361036960 2229813478048 2272694506472 2420621367840 2440531166580 2461209216336 2508540162804 2556781319781 2572861705440 2603233244352 2622339815160 2717585176371 2734676907040 2787266847560 2840868133090 3003730666560 3076511520420 3087434046528 3135675203505 3146807778192 3254041555440 3281612288448 3344720217072 3409041759708 3496453086880 3623446901828 3693128573017 3786475717440 3859292558160 3904849866528 3933509722740 4102015360560 4180900271340 4195743704256 4261302199635 4338722073920 4459626956096 4529308627285 4545389012944 4841242735680 4881062333160 4922418432672 5017080325608 5113562639562 5145723410880 5244679630320 5435170352742 5469353814080 5574533695120 5681736266180 6153023040840 6271350407010 6293615556384 6508083110880 6689440434144 6818083519416 6992906173760 7246893803656 7386257146034 7718585116320 7809699733056 7867019445480 8152755529113 8204030721120 8361800542680 8522604399270 9058617254570 9090778025888 9762124666320 9844836865344 10034160651216 10227125279124 10489359260640 10870340705484 11079385719051 11149067390240 11363472532360 12306046081680 12542700814020 12587231112768 12783906598905 13016166221760 13378880868288 13587925881855 13636167038832 14493787607312 14772514292068 15437170232640 15734038890960 16305511058226 16408061442240 16723601085360 17045208798540 18117234509140 18181556051776 18465642865085 19524249332640 20068321302432 20454250558248 20978718521280 21740681410968 22158771438102 22298134780480 22726945064720 24612092163360 25085401628040 25567813197810 27175851763710 27272334077664 28987575214624 29545028584136 31468077781920 32611022116452 33238157157153 33447202170720 34090417597080 36234469018280 36931285730170 39048498665280 40136642604864 40763777645565 40908501116496 43481362821936 44317542876204 45453890129440 48010671449221 49224184326720 50170803256080 51135626395620 54351703527420 54544668155328 55396928595255 57975150429248 59090057168272 62936155563840 65222044232904 66476314314306 66894404341440 68180835194160 72468938036560 73862571460340 81527555291130 81817002232992 86962725643872 88635085752408 90907780258880 96021342898442 100341606512160 102271252791240 108703407054840 110793857190510 118180114336544 130444088465808 132952628628612 136361670388320 144032014347663 144937876073120 147725142920680 163055110582260 163634004465984 166190785785765 173925451287744 177270171504816 192042685796884 200683213024320 204542505582480 217406814109680 221587714381020 236360228673088 240053357246105 260888176931616 265905257257224 272723340776640 288064028695326 289875752146240 295450285841360 326110221164520 332381571571530 354540343009632 384085371593768 409085011164960 432096043042989 434813628219360 443175428762040 480106714492210 521776353863232 531810514514448 576128057390652 590900571682720 652220442329040 664763143143060 709080686019264 720160071738315 768170743187536 818170022329920 864192086085978 869627256438720 886350857524080 960213428984420 1063621029028896 1152256114781304 1181801143365440 1304440884658080 1329526286286120 1440320143476630 1536341486375072 1728384172171956 1772701715048160 1920426857968840 2127242058057792 2160480215214945 2304512229562608 2608881769316160 2659052572572240 2880640286953260 3072682972750144 3456768344343912 3545403430096320 3840853715937680 4320960430429890 4609024459125216 5318105145144480 5761280573906520 6913536688687824 7681707431875360 8641920860859780 9218048918250432 10636210290288960 11522561147813040 13827073377375648 15363414863750720 17283841721719560 23045122295626080 27654146754751296 34567683443439120 46090244591252160 69135366886878240 138270733773756480
- Sum of all divisors σ(n): 525279487553488668
- Sum of proper divisors (its aliquot sum) s(n): 387008753779732188
- 138270733773756480 is an abundant number, because the sum of its proper divisors (387008753779732188) is greater than itself. Its abundance is 248738020005975708
Bases of 138270733773756480
- Binary: 1111010110011110001111111111100010110101011011000010000002
- Hexadecimal: 0x1EB3C7FF16AD840
- Base-36: 11TGVU6KCCW0
Squares and roots of 138270733773756480
- 138270733773756480 squared (1382707337737564802) is 19118795818333040904898770341990400
- 138270733773756480 cubed (1382707337737564803) is 2643569926671536558271429464256160583110088097792000
-
The
square root of 138270733773756480 is 371847729.2841203837 -
The
cube root of 138270733773756480 is 517102.6410023335
Scales and comparisons
How big is 138270733773756480?- 138,270,733,773,756,480 seconds is equal to 4,396,581,634 years, 28 weeks, 2 days, 48 minutes.
-
To count from 1 to 138,270,733,773,756,480 would take you about thirteen billion, one hundred eighty-nine million, seven hundred forty-four thousand, nine hundred three 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 138270733773756480 cubic inches would be around 43091.9 feet tall.
Recreational maths with 138270733773756480
- 138270733773756480 backwards is 084657377337072831
- The number of decimal digits it has is: 18
- The sum of 138270733773756480's digits is 81
- More coming soon!
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"Number 138270733773756480 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
APA style:
Numbermatics. (2024). Number 138270733773756480 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/138270733773756480/
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Numbermatics. 2024. "Number 138270733773756480 - Facts about the integer". https://numbermatics.com/n/138270733773756480/
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