137728434414743552
137,728,434,414,743,552 is an even composite number composed of six prime numbers multiplied together.
137728434414743552 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred twenty-four divisors.
Prime factorization of 137728434414743552:
212 × 23 × 29 × 41 × 349 × 18772
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 23 × 29 × 41 × 349 × 1877 × 1877)See below for interesting mathematical facts about the number 137728434414743552 from the Numbermatics database.
Names of 137728434414743552
- Cardinal: 137728434414743552 can be written as One hundred thirty-seven quadrillion, seven hundred twenty-eight trillion, four hundred thirty-four billion, four hundred fourteen million, seven hundred forty-three thousand, five hundred fifty-two.
Scientific notation
- Scientific notation: 1.37728434414743552 × 1017
Factors of 137728434414743552
Divisors of 137728434414743552
- Number of divisors d(n): 624
-
Complete list of divisors:
1 2 4 8 16 23 29 32 41 46 58 64 82 92 116 128 164 184 232 256 328 349 368 464 512 656 667 698 736 928 943 1024 1189 1312 1334 1396 1472 1856 1877 1886 2048 2378 2624 2668 2792 2944 3712 3754 3772 4096 4756 5248 5336 5584 5888 7424 7508 7544 8027 9512 10121 10496 10672 11168 11776 14309 14848 15016 15088 16054 19024 20242 20992 21344 22336 23552 27347 28618 29696 30032 30176 32108 38048 40484 41984 42688 43171 44672 47104 54433 54694 57236 59392 60064 60352 64216 76096 76957 80968 83968 85376 86342 89344 94208 108866 109388 114472 118784 120128 120704 128432 152192 153914 161936 167936 170752 172684 178688 217732 218776 228944 232783 240256 241408 256864 304384 307828 323872 329107 341504 345368 357376 414961 435464 437552 457888 465566 480512 482816 513728 608768 615656 647744 655073 658214 683008 690736 714752 829922 870928 875104 915776 931132 961024 965632 1027456 1217536 1231312 1251959 1295488 1310146 1316428 1366016 1381472 1429504 1659844 1741856 1750208 1770011 1831552 1862264 1922048 1931264 2054912 2231753 2435072 2462624 2503918 2590976 2620292 2632856 2732032 2762944 3319688 3483712 3500416 3523129 3540022 3663104 3724528 3844096 3862528 4109824 4463506 4870144 4925248 5007836 5181952 5240584 5265712 5525888 6639376 6967424 7000832 7046258 7080044 7326208 7449056 7688192 8219648 8927012 9544103 9850496 10015672 10363904 10481168 10531424 11051776 13278752 13934848 14001664 14092516 14160088 14652416 14898112 15066679 16439296 17854024 18997117 19088206 19700992 20031344 20727808 20962336 21062848 22103552 26557504 26857993 27869696 28003328 28185032 28320176 29304832 29796224 30133358 32878592 35708048 37994234 38176412 39401984 40062688 41455616 41924672 42125696 44207104 51330319 53115008 53715986 55739392 56006656 56370064 56640352 58609664 59592448 60266716 71416096 75988468 76352824 78803968 80125376 81031967 83849344 84251392 88414208 102170741 102660638 106230016 107431972 111478784 112013312 112740128 113280704 119184896 120533432 142832192 144448289 151976936 152705648 157607936 160250752 162063934 167698688 168502784 176828416 204341482 205321276 212460032 214863944 222957568 225480256 226561408 238369792 241066864 285664384 288896578 303953872 305411296 315215872 320501504 324127868 335397376 337005568 408682964 410642552 424920064 429727888 436933691 450960512 453122816 476739584 482133728 571328768 577793156 607907744 610822592 617733839 641003008 648255736 670794752 674011136 778881797 817365928 821285104 849840128 859455776 873867382 901921024 906245632 953479168 964267456 1142657536 1155586312 1215815488 1221645184 1229572021 1235467678 1282006016 1296511472 1341589504 1348022272 1557763594 1634731856 1642570208 1699680256 1718911552 1747734764 1803842048 1812491264 1928534912 2285315072 2311172624 2349927043 2431630976 2443290368 2459144042 2470935356 2564012032 2593022944 2683179008 3115527188 3269463712 3285140416 3322310647 3437823104 3495469528 3607684096 3624982528 3857069824 4189000381 4570630144 4622345248 4699854086 4863261952 4886580736 4918288084 4941870712 5128024064 5186045888 6231054376 6538927424 6570280832 6644621294 6875646208 6990939056 7215368192 7249965056 7714139648 8378000762 9141260288 9244690496 9399708172 9726523904 9773161472 9836576168 9883741424 10372091776 12462108752 13077854848 13140561664 13289242588 13751292416 13981878112 14430736384 15428279296 16756001524 17914281331 18489380992 18799416344 19453047808 19546322944 19673152336 19767482848 20744183552 24924217504 26155709696 26281123328 26578485176 27502584832 27963756224 28280156483 30856558592 33512003048 35657588609 35828562662 36978761984 37598832688 38906095616 39092645888 39346304672 39534965696 41488367104 49848435008 50412452861 52311419392 52562246656 53156970352 55005169664 55927512448 56560312966 61713117184 67024006096 71315177218 71657125324 73957523968 75197665376 77812191232 78692609344 79069931392 82976734208 96347008763 99696870016 100824905722 104622838784 105124493312 106313940704 110010339328 111855024896 113120625932 134048012192 142630354436 143314250648 147915047936 150395330752 157385218688 158139862784 165953468416 192694017526 199393740032 201649811444 209245677568 210248986624 212627881408 223710049792 226241251864 268096024384 285260708872 286628501296 295830095872 300790661504 314770437376 316279725568 331906936832 385388035052 398787480064 403299622888 418491355136 425255762816 447420099584 452482503728 536192048768 570521417744 573257002592 591660191744 601581323008 629540874752 632559451136 770776070104 797574960128 806599245776 820124538007 850511525632 894840199168 904965007456 1072384097536 1141042835488 1146514005184 1159486415803 1203162646016 1259081749504 1265118902272 1461961132969 1541552140208 1595149920256 1613198491552 1640249076014 1701023051264 1789680398336 1809930014912 2144768195072 2282085670976 2293028010368 2318972831606 2406325292032 2518163499008 2530237804544 2923922265938 3083104280416 3190299840512 3226396983104 3280498152028 3402046102528 3619860029824 4289536390144 4564171341952 4586056020736 4637945663212 4812650584064 5036326998016 5847844531876 6166208560832 6452793966208 6560996304056 6804092205056 7239720059648 8579072780288 9128342683904 9172112041472 9275891326424 9625301168128 11695689063752 12332417121664 12905587932416 13121992608112 13608184410112 14479440119296 17158145560576 18256685367808 18344224082944 18551782652848 23391378127504 24664834243328 25811175864832 26243985216224 28958880238592 33625106058287 36513370735616 36688448165888 37103565305696 46782756255008 49329668486656 51622351729664 52487970432448 57917760477184 67250212116574 73026741471232 73376896331776 74207130611392 93565512510016 98659336973312 103244703459328 104975940864896 115835520954368 134500424233148 146053482942464 148414261222784 187131025020032 197318673946624 206489406918656 209951881729792 269000848466296 296828522445568 374262050040064 394637347893248 419903763459584 538001696932592 593657044891136 748524100080128 839807526919168 1076003393865184 1187314089782272 1497048200160256 1679615053838336 2152006787730368 2374628179564544 2994096400320512 3359230107676672 4304013575460736 4749256359129088 5988192800641024 8608027150921472 17216054301842944 34432108603685888 68864217207371776 137728434414743552
- Sum of all divisors σ(n): 305595349454808000
- Sum of proper divisors (its aliquot sum) s(n): 167866915040064448
- 137728434414743552 is an abundant number, because the sum of its proper divisors (167866915040064448) is greater than itself. Its abundance is 30138480625320896
Bases of 137728434414743552
- Binary: 1111010010100111101001000000010001100001011110000000000002
- Hexadecimal: 0x1E94F4808C2F000
- Base-36: 11O4NLANQOZK
Squares and roots of 137728434414743552
- 137728434414743552 squared (1377284344147435522) is 18969121646336316029127349925576704
- 137728434414743552 cubed (1377284344147435523) is 2612587426572723533942419788334508557282153865412608
-
The
square root of 137728434414743552 is 371117817.4309925961 -
The
cube root of 137728434414743552 is 516425.7278353377
Scales and comparisons
How big is 137728434414743552?- 137,728,434,414,743,552 seconds is equal to 4,379,338,192 years, 19 weeks, 1 day, 11 hours, 52 minutes, 32 seconds.
-
To count from 1 to 137,728,434,414,743,552 would take you about thirteen billion, one hundred thirty-eight million, fourteen thousand, five hundred seventy-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 137728434414743552 cubic inches would be around 43035.5 feet tall.
Recreational maths with 137728434414743552
- 137728434414743552 backwards is 255347414434827731
- The number of decimal digits it has is: 18
- The sum of 137728434414743552's digits is 74
- More coming soon!
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The information we have on file for 137728434414743552 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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