138096348191506432
138,096,348,191,506,432 is an even composite number composed of five prime numbers multiplied together.
What does the number 138096348191506432 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1350 divisors.
138096348191506432 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred fifty divisors.
Prime factorization of 138096348191506432:
214 × 7 × 134 × 432 × 1512
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 13 × 13 × 13 × 43 × 43 × 151 × 151)See below for interesting mathematical facts about the number 138096348191506432 from the Numbermatics database.
Names of 138096348191506432
- Cardinal: 138096348191506432 can be written as One hundred thirty-eight quadrillion, ninety-six trillion, three hundred forty-eight billion, one hundred ninety-one million, five hundred six thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 1.38096348191506432 × 1017
Factors of 138096348191506432
Divisors of 138096348191506432
- Number of divisors d(n): 1350
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 43 52 56 64 86 91 104 112 128 151 169 172 182 208 224 256 301 302 338 344 364 416 448 512 559 602 604 676 688 728 832 896 1024 1057 1118 1183 1204 1208 1352 1376 1456 1664 1792 1849 1963 2048 2114 2197 2236 2366 2408 2416 2704 2752 2912 3328 3584 3698 3913 3926 4096 4228 4394 4472 4732 4816 4832 5408 5504 5824 6493 6656 7168 7267 7396 7826 7852 8192 8456 8788 8944 9464 9632 9664 10816 11008 11648 12943 12986 13312 13741 14336 14534 14792 15379 15652 15704 16384 16912 17576 17888 18928 19264 19328 21632 22016 22801 23296 24037 25519 25886 25972 26624 27482 28561 28672 29068 29584 30758 31304 31408 33824 35152 35776 37856 38528 38656 43264 44032 45451 45602 46592 48074 50869 51038 51772 51944 53248 54964 57122 57344 58136 59168 61516 62608 62816 67648 70304 71552 75712 77056 77312 84409 86528 88064 90902 91204 93184 94471 96148 101738 102076 103544 103888 106496 109928 114244 114688 116272 118336 123032 125216 125632 135296 140608 143104 151424 154112 154624 159607 168259 168818 173056 176128 178633 181804 182408 186368 188942 192296 199927 203476 204152 207088 207776 212992 219856 228488 232544 236672 246064 250432 251264 270592 279199 281216 286208 296413 302848 308224 309248 312481 319214 331747 336518 337636 346112 352256 357266 363608 364816 372736 377884 384592 399854 406952 408304 414176 415552 439712 456976 465088 473344 492128 500864 502528 541184 558398 562432 572416 590863 592826 605696 616448 618496 624962 638428 661297 663494 673036 675272 692224 704512 714532 727216 729632 745472 755768 769184 799708 813904 816608 828352 831104 879424 913952 930176 946688 980443 984256 1001728 1005056 1082368 1097317 1116796 1124864 1144832 1181726 1185652 1211392 1228123 1232896 1236992 1249924 1276856 1322594 1326988 1346072 1350544 1384448 1429064 1454432 1459264 1490944 1511536 1538368 1599416 1627808 1633216 1656704 1662208 1758848 1827904 1860352 1893376 1954393 1960886 1968512 2003456 2010112 2074891 2164736 2187367 2194634 2233592 2249728 2289664 2322229 2363452 2371304 2422784 2456246 2465792 2473984 2499848 2553712 2645188 2653976 2692144 2701088 2768896 2858128 2908864 2918528 3023072 3076736 3198832 3255616 3266432 3313408 3324416 3517696 3629587 3655808 3720704 3786752 3853369 3908786 3921772 3937024 4006912 4020224 4062253 4149782 4312711 4329472 4374734 4389268 4467184 4499456 4579328 4644458 4726904 4742608 4845568 4912492 4931584 4999696 5107424 5290376 5307952 5384288 5402176 5716256 5817728 5837056 6046144 6153472 6397664 6511232 6532864 6626816 6648832 6863101 7035392 7259174 7311616 7441408 7573504 7681219 7706738 7817572 7843544 7874048 8013824 8040448 8124506 8299564 8596861 8625422 8658944 8749468 8778536 8934368 8998912 9158656 9288916 9453808 9485216 9691136 9824984 9999392 10214848 10580752 10615904 10768576 10804352 11432512 11635456 11674112 12092288 12306944 12745759 12795328 13022464 13065728 13253632 13297664 13726202 14070784 14265121 14518348 14623232 14882816 15147008 15362438 15413476 15635144 15687088 15748096 16027648 16080896 16249012 16599128 17193722 17250844 17317888 17498936 17557072 17868736 17997824 18577832 18907616 18970432 19382272 19649968 19998784 20429696 21161504 21231808 21537152 21608704 22865024 23270912 23348224 24184576 24613888 25407109 25491518 25590656 26044928 26131456 26507264 26595328 26973583 27452404 28141568 28435771 28530242 29036696 29246464 29765632 30188977 30294016 30724876 30826952 31270288 31374176 31496192 32055296 32161792 32498024 33198256 34387444 34501688 34997872 35114144 35737472 35995648 37155664 37815232 37940864 39299936 39997568 40859392 42159049 42323008 42463616 43074304 43217408 45730048 46541824 46696448 47184631 48369152 49227776 50093797 50814218 50983036 51181312 52089856 52262912 52809289 53014528 53190656 53947166 54904808 56283136 56871542 57060484 58073392 58492928 59531264 60377954 61449752 61653904 62540576 62748352 62992384 64110592 64996048 66396512 68774888 69003376 69995744 70228288 71474944 74311328 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15783399424 15948405278 16010387456 16063578112 16638988288 16997507072 17175205684 17232266168 17538164384 17606371328 17664864256 17918910464 17978441728 18234142108 18557825104 18887253952 19023699968 19628806496 20121567232 20770016176 20839019552 21138714688 21208942976 21585433088 22442021056 22840400128 23658561472 23737161344 24158531072 25563096832 25648024064 26016879616 26103314432 27038355968 27620948992 28002432523 28111261696 28499517124 29118229504 29214967808 29733576704 30156465794 30691787672 30913512448 31462273024 31566798848 31896810556 32020774912 33277976576 33995014144 34350411368 34464532336 35076328768 35212742656 35329728512 35837820928 36468284216 37115650208 37774507904 38047399936 39257612992 41540032352 41678039104 42277429376 42417885952 43170866176 44884042112 45680800256 47317122944 47474322688 48317062144 49874154967 51126193664 51296048128 52033759232 52206628864 54076711936 55241897984 55819418473 56004865046 56222523392 56999034248 58236459008 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241251726352 245534301376 247308099584 255174484448 274803290944 275716258688 280610630144 291746273728 296925201664 302196063232 314060903936 332320258816 333424312832 338219435008 339343087616 345366929408 359072336896 365446402048 370493722612 378536983552 379794581504 386536497152 392034055322 398993239736 409009549312 410368385024 416270073856 432613695488 441935183872 446555347784 448038920368 455992273984 465891672064 482503452704 491068602752 494616199168 510348968896 549606581888 551432517376 561221260288 583492547456 593850403328 604392126464 628121807872 648364014571 664640517632 666848625664 676438870016 678686175232 690733858816 718144673792 730892804096 740987445224 757073967104 759589163008 773072994304 784068110644 797986479472 818019098624 820736770048 865227390976 893110695568 896077840736 911984547968 965006905408 982137205504 1020697937792 1099213163776 1102865034752 1122442520576 1166985094912 1187700806656 1204104598489 1208784252928 1256243615744 1296728029142 1329281035264 1333697251328 1352877740032 1357372350464 1436289347584 1461785608192 1481974890448 1514147934208 1519178326016 1568136221288 1595972958944 1636038197248 1786221391136 1792155681472 1823969095936 1930013810816 1964274411008 2041395875584 2198426327552 2205730069504 2244885041152 2333970189824 2375401613312 2408209196978 2417568505856 2512487231488 2593456058284 2658562070528 2667394502656 2705755480064 2714744700928 2872578695168 2963949780896 3028295868416 3038356652032 3136272442576 3191945917888 3572442782272 3584311362944 3647938191872 3860027621632 3928548822016 4082791751168 4396852655104 4411460139008 4489770082304 4667940379648 4750803226624 4816418393956 4835137011712 5024974462976 5186912116568 5317124141056 5334789005312 5411510960128 5745157390336 5927899561792 6056591736832 6272544885152 6383891835776 7144885564544 7168622725888 7295876383744 7720055243264 7857097644032 8165583502336 8428732189423 8793705310208 8822920278016 8979540164608 9335880759296 9501606453248 9632836787912 10049948925952 10373824233136 10634248282112 10669578010624 11855799123584 12545089770304 12767783671552 14289771129088 14337245451776 14591752767488 15440110486528 15714195288064 16331167004672 16857464378846 17587410620416 17645840556032 18671761518592 19003212906496 19265673575824 20747648466272 21268496564224 23711598247168 25090179540608 25535567343104 28579542258176 28674490903552 29183505534976 30880220973056 31428390576128 32662334009344 33714928757692 35174821240832 35291681112064 37343523037184 38531347151648 41495296932544 47423196494336 50180359081216 51071134686208 57159084516352 57348981807104 58367011069952 61760441946112 62856781152256 65324668018688 67429857515384 70349642481664 74687046074368 77062694303296 82990593865088 94846392988672 100360718162432 102142269372416 114318169032704 114697963614208 116734022139904 123520883892224 130649336037376 134859715030768 154125388606592 165981187730176 189692785977344 200721436324864 204284538744832 228636338065408 229395927228416 247041767784448 269719430061536 308250777213184 331962375460352 379385571954688 401442872649728 408569077489664 457272676130816 458791854456832 539438860123072 616501554426368 663924750920704 758771143909376 802885745299456 817138154979328 914545352261632 1078877720246144 1233003108852736 1327849501841408 1517542287818752 1605771490598912 2157755440492288 2466006217705472 2655699003682816 3211542981197824 4315510880984576 4932012435410944 5311398007365632 8631021761969152 9864024870821888 10622796014731264 17262043523938304 19728049741643776 34524087047876608 69048174095753216 138096348191506432
- Sum of all divisors σ(n): 352412321668949304
- Sum of proper divisors (its aliquot sum) s(n): 214315973477442872
- 138096348191506432 is an abundant number, because the sum of its proper divisors (214315973477442872) is greater than itself. Its abundance is 76219625285936440
Bases of 138096348191506432
- Binary: 1111010101001110111100101101000101011101111000000000000002
- Hexadecimal: 0x1EA9DE5A2BBC000
- Base-36: 11RR2IJV69DS
Squares and roots of 138096348191506432
- 138096348191506432 squared (1380963481915064322) is 19070601383829781792095385497370624
- 138096348191506432 cubed (1380963481915064323) is 2633580408922781946236772011181799857147145583853568
-
The
square root of 138096348191506432 is 371613170.0996433091 -
The
cube root of 138096348191506432 is 516885.1614277575
Scales and comparisons
How big is 138096348191506432?- 138,096,348,191,506,432 seconds is equal to 4,391,036,712 years, 22 weeks, 5 days, 14 hours, 53 minutes, 52 seconds.
-
To count from 1 to 138,096,348,191,506,432 would take you about thirteen billion, one hundred seventy-three million, one hundred ten thousand, one hundred thirty-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 138096348191506432 cubic inches would be around 43073.8 feet tall.
Recreational maths with 138096348191506432
- 138096348191506432 backwards is 234605191843690831
- The number of decimal digits it has is: 18
- The sum of 138096348191506432's digits is 73
- More coming soon!
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"Number 138096348191506432 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 138096348191506432 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138096348191506432/
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The information we have on file for 138096348191506432 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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