138761383900289280
138,761,383,900,289,280 is an even composite number composed of seven prime numbers multiplied together.
138761383900289280 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138761383900289280:
28 × 3 × 5 × 13 × 17 × 31 × 5274525917
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 17 × 31 × 5274525917)See below for interesting mathematical facts about the number 138761383900289280 from the Numbermatics database.
Names of 138761383900289280
- Cardinal: 138761383900289280 can be written as One hundred thirty-eight quadrillion, seven hundred sixty-one trillion, three hundred eighty-three billion, nine hundred million, two hundred eighty-nine thousand, two hundred eighty.
Scientific notation
- Scientific notation: 1.3876138390028928 × 1017
Factors of 138761383900289280
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 5274525988
Divisors of 138761383900289280
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 31 32 34 39 40 48 51 52 60 62 64 65 68 78 80 85 93 96 102 104 120 124 128 130 136 155 156 160 170 186 192 195 204 208 221 240 248 255 256 260 272 310 312 320 340 372 384 390 403 408 416 442 465 480 496 510 520 527 544 620 624 640 663 680 744 768 780 806 816 832 884 930 960 992 1020 1040 1054 1088 1105 1209 1240 1248 1280 1326 1360 1488 1560 1581 1612 1632 1664 1768 1860 1920 1984 2015 2040 2080 2108 2176 2210 2418 2480 2496 2635 2652 2720 2976 3120 3162 3224 3264 3315 3328 3536 3720 3840 3968 4030 4080 4160 4216 4352 4420 4836 4960 4992 5270 5304 5440 5952 6045 6240 6324 6448 6528 6630 6851 7072 7440 7905 7936 8060 8160 8320 8432 8840 9672 9920 9984 10540 10608 10880 11904 12090 12480 12648 12896 13056 13260 13702 14144 14880 15810 16120 16320 16640 16864 17680 19344 19840 20553 21080 21216 21760 23808 24180 24960 25296 25792 26520 27404 28288 29760 31620 32240 32640 33728 34255 35360 38688 39680 41106 42160 42432 48360 49920 50592 51584 53040 54808 56576 59520 63240 64480 65280 67456 68510 70720 77376 82212 84320 84864 96720 101184 102765 103168 106080 109616 119040 126480 128960 134912 137020 141440 154752 164424 168640 169728 193440 202368 205530 212160 219232 252960 257920 274040 282880 309504 328848 337280 386880 404736 411060 424320 438464 505920 515840 548080 657696 674560 773760 822120 848640 876928 1011840 1096160 1315392 1547520 1644240 1753856 2023680 2192320 2630784 3288480 4384640 5261568 6576960 8769280 13153920 26307840 5274525917 10549051834 15823577751 21098103668 26372629585 31647155502 42196207336 52745259170 63294311004 68568836921 79117888755 84392414672 89666940589 105490518340 126588622008 137137673842 158235777510 163510303427 168784829344 179333881178 205706510763 210981036680 253177244016 269000821767 274275347684 316471555020 327020606854 337569658688 342844184605 358667762356 411413021526 421962073360 448334702945 490530910281 506354488032 538001643534 548550695368 632943110040 654041213708 675139317376 685688369210 717335524712 817551517135 822826043052 843924146720 896669405890 981061820562 1012708976064 1028532553815 1076003287068 1097101390736 1165670227657 1265886220080 1308082427416 1345004108835 1350278634752 1371376738420 1434671049424 1635103034270 1645652086104 1687848293440 1793338811780 1962123641124 2025417952128 2057065107630 2125633944551 2152006574136 2194202781472 2331340455314 2452654551405 2531772440160 2616164854832 2690008217670 2742753476840 2779675158259 2869342098848 3270206068540 3291304172208 3375696586880 3497010682971 3586677623560 3924247282248 4050835904256 4114130215260 4251267889102 4304013148272 4388405562944 4662680910628 4905309102810 5063544880320 5232329709664 5380016435340 5485506953680 5559350316518 5738684197696 5828351138285 6376901833653 6540412137080 6582608344416 6751393173760 6994021365942 7173355247120 7848494564496 8228260430520 8339025474777 8502535778204 8608026296544 8776811125888 9325361821256 9810618205620 10127089760640 10464659419328 10628169722755 10760032870680 10971013907360 11118700633036 11477368395392 11656702276570 12753803667306 13080824274160 13165216688832 13898375791295 13988042731884 14346710494240 15696989128992 16456520861040 16678050949554 17005071556408 17216052593088 17485053414855 17553622251776 18650723642512 19621236411240 20254179521280 20929318838656 21256339445510 21520065741360 21942027814720 22237401266072 22954736790784 23313404553140 25507607334612 26161648548320 26330433377664 27796751582590 27976085463768 28693420988480 31393978257984 31884509168265 32913041722080 33356101899108 34010143112816 34432105186176 34970106829710 36135777057367 37301447285024 39242472822480 41695127373885 41858637677312 42512678891020 43040131482720 43884055629440 44474802532144 46626809106280 51015214669224 52323297096640 52660866755328 55593503165180 55952170927536 57386841976960 62787956515968 63769018336530 65826083444160 66712203798216 68020286225632 68864210372352 69940213659420 72271554114734 74602894570048 78484945644960 83390254747770 85025357782040 86080262965440 87768111258880 88949605064288 93253618212560 102030429338448 104646594193280 108407331172101 111187006330360 111904341855072 114773683953920 125575913031936 127538036673060 131652166888320 133424407596432 136040572451264 139880427318840 144543108229468 149205789140096 156969891289920 166780509495540 170050715564080 172160525930880 177899210128576 180678885286835 186507236425120 204060858676896 209293188386560 216814662344202 222374012660720 223808683710144 255076073346120 263304333776640 266848815192864 272081144902528 279760854637680 289086216458936 298411578280192 313939782579840 333561018991080 340101431128160 344321051861760 355798420257152 361357770573670 373014472850240 408121717353792 433629324688404 444748025321440 447617367420288 510152146692240 533697630385728 542036655860505 544162289805056 559521709275360 578172432917872 627879565159680 667122037982160 680202862256320 711596840514304 722715541147340 746028945700480 816243434707584 867258649376808 889496050642880 895234734840576 1020304293384480 1067395260771456 1084073311721010 1119043418550720 1156344865835744 1334244075964320 1360405724512640 1445431082294680 1492057891400960 1632486869415168 1734517298753616 1778992101285760 2040608586768960 2134790521542912 2168146623442020 2238086837101440 2312689731671488 2668488151928640 2720811449025280 2890862164589360 3469034597507232 3557984202571520 4081217173537920 4336293246884040 4476173674202880 4625379463342976 5336976303857280 5781724329178720 6938069195014464 8162434347075840 8672586493768080 9250758926685952 10673952607714560 11563448658357440 13876138390028928 17345172987536160 23126897316714880 27752276780057856 34690345975072320 46253794633429760 69380691950144640 138761383900289280
- Sum of all divisors σ(n): 521634241161750528
- Sum of proper divisors (its aliquot sum) s(n): 382872857261461248
- 138761383900289280 is an abundant number, because the sum of its proper divisors (382872857261461248) is greater than itself. Its abundance is 244111473361171968
Bases of 138761383900289280
- Binary: 1111011001111101010111110010100111110101100011001000000002
- Hexadecimal: 0x1ECFABE53EB1900
- Base-36: 11YASZQLGX6O
Squares and roots of 138761383900289280
- 138761383900289280 squared (1387613839002892802) is 19254721661923460996269267682918400
- 138761383900289280 cubed (1387613839002892803) is 2671811824423377389602357539518304348529074634752000
-
The
square root of 138761383900289280 is 372506891.0775870197 -
The
cube root of 138761383900289280 is 517713.5607475301
Scales and comparisons
How big is 138761383900289280?- 138,761,383,900,289,280 seconds is equal to 4,412,182,790 years, 46 weeks, 23 hours, 28 minutes.
-
To count from 1 to 138,761,383,900,289,280 would take you about thirteen billion, two hundred thirty-six million, five hundred forty-eight thousand, three hundred seventy-two 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 138761383900289280 cubic inches would be around 43142.8 feet tall.
Recreational maths with 138761383900289280
- 138761383900289280 backwards is 082982009383167831
- 138761383900289280 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138761383900289280's digits is 78
- More coming soon!
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The information we have on file for 138761383900289280 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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