138291903049344
138,291,903,049,344 is an even composite number composed of seven prime numbers multiplied together.
138291903049344 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138291903049344:
27 × 3 × 112 × 17 × 23 × 312 × 892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 17 × 23 × 31 × 31 × 89 × 89)See below for interesting mathematical facts about the number 138291903049344 from the Numbermatics database.
Names of 138291903049344
- Cardinal: 138291903049344 can be written as One hundred thirty-eight trillion, two hundred ninety-one billion, nine hundred three million, forty-nine thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 1.38291903049344 × 1014
Factors of 138291903049344
Divisors of 138291903049344
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 17 22 23 24 31 32 33 34 44 46 48 51 62 64 66 68 69 88 89 92 93 96 102 121 124 128 132 136 138 176 178 184 186 187 192 204 242 248 253 264 267 272 276 341 352 356 363 368 372 374 384 391 408 484 496 506 527 528 534 544 552 561 682 704 712 713 726 736 744 748 759 782 816 961 968 979 992 1012 1023 1054 1056 1068 1088 1104 1122 1173 1364 1408 1424 1426 1452 1472 1488 1496 1513 1518 1564 1581 1632 1922 1936 1958 1984 2024 2046 2047 2057 2108 2112 2136 2139 2176 2208 2244 2346 2728 2759 2783 2848 2852 2883 2904 2937 2944 2976 2992 3026 3036 3128 3162 3264 3751 3844 3872 3916 3968 4048 4092 4094 4114 4216 4224 4272 4278 4301 4416 4488 4539 4692 5456 5518 5566 5696 5704 5766 5797 5808 5874 5952 5984 6052 6072 6141 6171 6256 6324 6528 7502 7688 7744 7832 7843 7921 8096 8184 8188 8228 8277 8349 8432 8544 8556 8602 8832 8976 9078 9384 10571 10769 10912 11036 11132 11253 11392 11408 11532 11594 11616 11748 11904 11968 12104 12121 12144 12282 12342 12512 12648 12903 15004 15376 15488 15664 15686 15842 16192 16337 16368 16376 16456 16554 16643 16698 16864 17088 17112 17204 17391 17952 18156 18768 21142 21538 21824 22072 22103 22264 22506 22517 22816 23064 23188 23232 23496 23529 23763 23936 24208 24242 24288 24564 24684 25024 25296 25806 30008 30349 30752 31328 31372 31684 31713 32307 32384 32674 32736 32752 32912 33108 33286 33396 33728 34176 34224 34408 34782 34799 35904 36312 36363 37536 42284 43076 43648 44144 44206 44528 45012 45034 45632 46128 46376 46464 46903 46992 47058 47311 47526 48416 48484 48576 49011 49128 49368 49929 50048 50592 51612 60016 60698 61504 62656 62744 63368 63426 63457 63767 64614 65348 65472 65504 65824 66216 66309 66572 66792 67456 67551 68448 68816 69564 69598 71808 72624 72726 75072 84568 85529 86152 86273 87131 88288 88412 89056 90024 90068 91047 91264 92256 92752 93806 93984 94116 94622 95052 96832 96968 97152 98022 98256 98736 99858 101184 103224 104397 116281 120032 121396 123008 125312 125488 126736 126852 126914 127534 129228 130696 130944 131008 131648 132432 132618 133144 133331 133584 134657 135102 136896 137632 139128 139196 140709 141933 145248 145452 150144 169136 171058 172304 172546 174262 176576 176824 178112 179707 180048 180136 182094 182183 183073 184512 185504 187612 187968 188232 189244 190104 190371 191301 193664 193936 196044 196512 197472 199716 202368 206448 208794 232562 240064 242792 243133 245551 247687 250976 253472 253704 253828 255068 256587 258456 258819 261392 261393 262016 263296 264864 265236 266288 266662 267168 269314 270204 273792 275264 278256 278392 281418 283866 290496 290904 333839 338272 342116 344608 345092 348524 348843 353152 353648 356224 359414 360096 360272 364188 364366 366146 369024 371008 375224 375751 375936 376464 378488 380208 380742 382602 382789 387872 392088 393024 394944 399432 399993 403971 412896 417588 465124 480128 485584 486266 491102 495374 501952 506944 507408 507656 510136 513174 515933 516912 517638 522784 522786 529728 530472 532576 533324 534336 538628 539121 540408 546549 549219 550528 556512 556784 562836 567732 580992 581808 667678 676544 684232 689216 690184 697048 697686 698027 707296 718828 720192 720544 728376 728732 729399 732292 736653 742016 743061 750448 751502 752928 756976 760416 761484 765204 765578 775744 784176 786048 789888 798864 799986 807942 825792 835176 930248 940819 958441 971168 972532 982204 990748 1001517 1003904 1013888 1014816 1015312 1020272 1026348 1031866 1033824 1035276 1045568 1045572 1059456 1060944 1065152 1066648 1068672 1077256 1078242 1078769 1080816 1093098 1098438 1113024 1113568 1125672 1127253 1135464 1148367 1163616 1335356 1353088 1368464 1378432 1380368 1394096 1395372 1396054 1414592 1437656 1440384 1441088 1453993 1456752 1457464 1458798 1464584 1466641 1473306 1481227 1486122 1500896 1503004 1505856 1513952 1520832 1522968 1530408 1531156 1547799 1551488 1568352 1597728 1599972 1615884 1651584 1670352 1860496 1881638 1916882 1942336 1945064 1964408 1967167 1976777 1981496 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297322656 331168288 334931564 342331264 345735808 346221392 350155726 351866306 352706288 356540052 361274496 361451072 363216832 363726968 365379888 367344296 367860229 368041344 368558256 372746418 374750431 377696064 379541184 379726688 383854152 384041764 384770496 388216131 391043928 391593147 396430208 396793056 400739232 401302068 404225184 408818652 414247296 475386736 476054414 487173184 491411008 496752432 496995224 502397346 505098407 511805536 513496896 517621508 518603712 519332088 521391904 522124196 525233589 527799459 529057408 529059432 534318976 535069424 538966912 542176608 544825248 545091536 545590452 551016444 558333312 563190144 568791168 569590032 576062646 594645312 662336576 669863128 683368433 692442784 700311452 703732612 705412576 713080104 714081621 722902144 726433664 727453936 730759776 734688592 735720458 737116512 745492836 749500862 755392128 759082368 759453376 767708304 768083528 769540992 776432262 782087856 783186294 793586112 801478464 802604136 808450368 817637304 921061801 950773472 952108828 974346368 982822016 993504864 993990448 1004794692 1010196814 1023611072 1026993792 1035243016 1037207424 1038664176 1042783808 1044248392 1050467178 1055598918 1056114851 1058118864 1070138848 1084353216 1089650496 1090183072 1091180904 1102032888 1103580687 1124251293 1139180064 1152125292 1189290624 1324673152 1339726256 1366736866 1384885568 1400622904 1407465224 1410825152 1423459147 1426160208 1428163242 1454907872 1461519552 1469377184 1471440916 1474233024 1490985672 1499001724 1515295221 1518906752 1535416608 1536167056 1552864524 1564175712 1566372588 1587172224 1602956928 1605208272 1616900736 1635274608 1842123602 1901546944 1904217656 1925856493 1987009728 1987980896 2009589384 2020393628 2047222144 2050105299 2070486032 2077328352 2085567616 2088496784 2100934356 2111197836 2112229702 2116237728 2140277696 2168706432 2179300992 2180366144 2182361808 2204065776 2207161374 2248502586 2278360128 2304250584 2679452512 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8540754882 8729447232 8816263104 8828645496 8928971013 8994010344 9217002336 10717810048 10933894928 11052741612 11204983232 11259721792 11387673176 11409281664 11425305936 11555138958 11617263361 11771527328 11905294684 11927885376 11992013792 12122361768 12139387557 12289336448 12422916192 12530980704 12673378212 12841666176 13082196864 14736988816 15233741248 15406851944 15658050617 16076715072 16163149024 16185850076 16400842392 16563888256 16707974272 16807474848 16889582688 16897837616 17081509764 17458894464 17632526208 17657290992 17857942026 17988020688 18434004672 21184421423 21867789856 22105483224 22409966464 22519443584 22775346352 22850611872 23110277916 23234526722 23543054656 23810589368 23855770752 23984027584 24244723536 24278775114 24845832384 25061961408 25346756424 29473977632 30467482496 30813703888 31316101234 32153430144 32326298048 32371700152 32739560381 32801684784 33614949696 33779165376 33795675232 34163019528 34851790083 35314581984 35715884052 35976041376 36868009344 42368842846 43735579712 44210966448 45550692704 45701223744 46220555832 46469053444 46974151851 47086109312 47621178736 47968055168 48489447072 48557550228 49691664768 50123922816 50693512848 58947955264 61627407776 62632202468 63553264269 64652596096 64743400304 65479120762 65603369568 67229899392 67558330752 67591350464 68326039056 69703580166 70629163968 71431768104 71952082752 84737685692 87471159424 88421932896 91101385408 91402447488 92441111664 92938106888 93948303702 95242357472 96978894144 97115100456 98218681143 101387025696 117895910528 123254815552 125264404936 127106528538 129486800608 130958241524 131206739136 135182700928 136652078112 139407160332 141258327936 142863536208 143904165504 169475371384 176843865792 182202770816 184882223328 185876213776 187896607404 190484714944 193957788288 194230200912 196437362286 202774051392 246509631104 250528809872 254213057076 258973601216 261916483048 262413478272 273304156224 278814320664 285727072416 338950742768 353687731584 360135164191 369764446656 371752427552 375793214808 380969429888 388460401824 392874724572 405548102784 501057619744 508426114152 517947202432 523832966096 546608312448 557628641328 571454144832 677901485536 720270328382 739528893312 743504855104 751586429616 776920803648 785749449144 1002115239488 1016852228304 1047665932192 1080405492573 1115257282656 1142908289664 1355802971072 1440540656764 1487009710208 1503172859232 1553841607296 1571498898288 2004230478976 2033704456608 2095331864384 2160810985146 2230514565312 2711605942144 2881081313528 3006345718464 3142997796576 4067408913216 4190663728768 4321621970292 4461029130624 5762162627056 6012691436928 6285995593152 8134817826432 8643243940584 11524325254112 12571991186304 17286487881168 23048650508224 34572975762336 46097301016448 69145951524672 138291903049344
- Sum of all divisors σ(n): 466199217005760
- Sum of proper divisors (its aliquot sum) s(n): 327907313956416
- 138291903049344 is an abundant number, because the sum of its proper divisors (327907313956416) is greater than itself. Its abundance is 189615410907072
Bases of 138291903049344
- Binary: 111110111000110100101111100000110101110100000002
- Hexadecimal: 0x7DC697C1AE80
- Base-36: 1D0QF8HFUO
Squares and roots of 138291903049344
- 138291903049344 squared (1382919030493442) is 19124650449009160325698830336
- 138291903049344 cubed (1382919030493443) is 2644784305746967997628899059150852492099584
-
The
square root of 138291903049344 is 11759757.7802157133 -
The
cube root of 138291903049344 is 51712.9029159867
Scales and comparisons
How big is 138291903049344?- 138,291,903,049,344 seconds is equal to 4,397,254 years, 39 weeks, 17 hours, 42 minutes, 24 seconds.
-
To count from 1 to 138,291,903,049,344 would take you about ten million, nine hundred ninety-three thousand, one hundred thirty-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 138291903049344 cubic inches would be around 4309.4 feet tall.
Recreational maths with 138291903049344
- 138291903049344 backwards is 443940309192831
- The number of decimal digits it has is: 15
- The sum of 138291903049344's digits is 60
- More coming soon!
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"Number 138291903049344 - Facts about the integer". Numbermatics.com. 2024. Web. 11 June 2024.
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Numbermatics. (2024). Number 138291903049344 - Facts about the integer. Retrieved 11 June 2024, from https://numbermatics.com/n/138291903049344/
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The information we have on file for 138291903049344 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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