138336143313368
138,336,143,313,368 is an even composite number composed of nine prime numbers multiplied together.
138336143313368 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 138336143313368:
23 × 73 × 11 × 13 × 17 × 19 × 29 × 61 × 617
(2 × 2 × 2 × 7 × 7 × 7 × 11 × 13 × 17 × 19 × 29 × 61 × 617)See below for interesting mathematical facts about the number 138336143313368 from the Numbermatics database.
Names of 138336143313368
- Cardinal: 138336143313368 can be written as One hundred thirty-eight trillion, three hundred thirty-six billion, one hundred forty-three million, three hundred thirteen thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38336143313368 × 1014
Factors of 138336143313368
Divisors of 138336143313368
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 4 7 8 11 13 14 17 19 22 26 28 29 34 38 44 49 52 56 58 61 68 76 77 88 91 98 104 116 119 122 133 136 143 152 154 182 187 196 203 209 221 232 238 244 247 266 286 308 319 323 343 364 374 377 392 406 418 427 442 476 488 493 494 532 539 551 572 616 617 637 638 646 671 686 728 748 754 793 812 833 836 854 884 931 952 986 988 1001 1037 1064 1078 1102 1144 1159 1234 1274 1276 1292 1309 1342 1372 1421 1463 1496 1508 1547 1586 1624 1666 1672 1708 1729 1768 1769 1862 1972 1976 2002 2074 2156 2204 2233 2261 2318 2431 2468 2548 2552 2584 2618 2639 2684 2717 2744 2842 2926 2989 3016 3094 3172 3332 3416 3451 3458 3538 3553 3724 3773 3857 3944 4004 4147 4148 4199 4312 4319 4408 4459 4466 4522 4636 4697 4862 4936 5096 5236 5278 5368 5423 5434 5551 5684 5831 5852 5978 6061 6188 6344 6409 6517 6664 6787 6902 6916 7007 7076 7106 7163 7259 7448 7546 7714 8008 8021 8113 8294 8296 8398 8638 8723 8918 8932 9044 9163 9272 9367 9394 9724 9947 10241 10472 10489 10556 10829 10846 10868 11102 11368 11407 11662 11704 11723 11956 12103 12122 12376 12383 12749 12818 13034 13481 13574 13804 13832 14014 14152 14212 14326 14518 15067 15092 15428 15631 15827 16042 16226 16588 16796 17017 17276 17446 17836 17864 17893 18088 18326 18473 18734 18788 19019 19448 19459 19703 19894 20482 20923 20978 21112 21658 21692 21736 22204 22814 22997 23324 23446 23912 24157 24206 24244 24766 24871 25498 25636 26068 26962 26999 27148 27608 28028 28424 28652 29029 29036 29393 30073 30134 30184 30233 30856 31262 31654 32084 32452 32879 33176 33592 33611 34034 34552 34892 35672 35786 36652 36946 37468 37576 37637 37961 38038 38857 38918 39406 39788 40964 41846 41956 42427 43316 43384 44408 44863 45628 45994 46189 46648 46892 47509 48314 48412 48488 49049 49532 49742 50141 50813 50996 51272 52136 53924 53998 54296 56056 56147 56791 57304 58058 58072 58786 60146 60268 60466 61061 62524 63308 64141 64168 64904 65569 65758 67222 68068 69784 70499 71572 71687 73304 73423 73892 74936 75274 75803 75922 76076 77714 77836 78793 78812 79576 79849 81928 82061 83692 83912 84721 84854 86632 86681 88231 89243 89726 91256 91988 92378 93784 94367 95018 96628 96824 98098 99064 99484 100282 101626 101992 103037 105469 107848 107996 109417 110789 112294 113582 115379 116116 117572 119119 120292 120536 120932 121771 122122 125048 125251 126616 128282 128953 129311 131138 131516 133133 134444 136136 136213 136357 137921 140998 143144 143374 146846 147784 148291 150548 151606 151844 152152 152399 155428 155672 157586 157624 159698 160979 164122 165737 167384 169099 169442 169708 173362 174097 176462 178486 179452 183976 184756 188734 188993 190036 193256 196196 196823 198968 199291 200564 203203 203252 205751 206074 210511 210938 211631 215992 216733 218834 221578 224588 227164 230153 230758 232232 232609 235144 235277 238238 240584 241864 243542 244244 250502 252967 256139 256564 257906 258622 262276 263032 263459 265727 266266 268888 271999 272426 272714 275842 281996 286748 293692 296582 296989 301096 303212 303688 304181 304798 310856 314041 315172 319396 321958 323323 328244 330803 331474 332563 338198 338884 339416 339967 346724 348194 350987 352924 355691 356972 358904 369512 369721 377468 377986 380072 390949 392392 393029 393646 397537 398582 401128 406406 406504 411502 412148 414007 421022 421876 423262 427427 433466 436943 437668 443156 449176 454328 458983 460306 461516 465218 470554 476476 487084 488488 489281 493493 501004 505934 512278 513128 513961 515812 517244 524552 526918 531454 532532 543998 544852 545428 551551 551684 558943 563992 571387 573496 574427 587384 593164 593978 606424 606767 608362 609596 617617 624701 628082 630344 638792 639829 643916 646646 656488 660569 661606 662948 665126 676396 677768 679934 693448 696388 701974 705848 711382 713944 715103 721259 738283 739442 754936 755972 781898 786058 787292 795074 797164 807653 812812 823004 824296 828014 833833 842044 843752 846524 852397 854854 866932 873886 875336 876757 886312 902671 917966 920612 923032 930436 931931 941108 952952 953491 954499 965447 974168 978562 986986 1002008 1011868 1024556 1027922 1031624 1034488 1038037 1053836 1062908 1065064 1066793 1087996 1089704 1090856 1091473 1103102 1103368 1117886 1126853 1142774 1148854 1160159 1186328 1187956 1213534 1216724 1218679 1219192 1235234 1249402 1256164 1279658 1287832 1293292 1321138 1323212 1325896 1330252 1339481 1352792 1359868 1377761 1392776 1395037 1403948 1422421 1422764 1430206 1440257 1442518 1473577 1476566 1478884 1499927 1511944 1517131 1563796 1572116 1574584 1590148 1594328 1615306 1625624 1628263 1646008 1646939 1656028 1667666 1676389 1684088 1693048 1704794 1709708 1733864 1747772 1753514 1770769 1792973 1805342 1835932 1841224 1844213 1860089 1860872 1863862 1882216 1906982 1908998 1930894 1957124 1973972 2023736 2049112 2055844 2076074 2078923 2107672 2125816 2129267 2133586 2175992 2182946 2192201 2198287 2206204 2235772 2253706 2263261 2285548 2297708 2315621 2320318 2327941 2375912 2379769 2427068 2433448 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783942964 794592344 797961164 815142146 816421804 818077832 826459777 834672664 842886044 859342792 866235916 877633757 877845388 888638569 890033606 907723432 909197009 911041222 912471428 918883966 932869448 936069827 942049108 964862132 966412447 981121316 1003010008 1014514424 1015586936 1016161363 1028949922 1039082296 1051857898 1054889836 1069794088 1072764056 1078375324 1092564473 1104471368 1106264341 1132770044 1136035208 1143916774 1147674913 1150002854 1161327272 1176607894 1191361598 1198971592 1217940724 1231910372 1248645112 1264302104 1280937658 1282695491 1311628472 1342587064 1356343079 1361227868 1379471324 1390536602 1396432037 1410183116 1428738157 1431636206 1455894076 1465937704 1475050577 1497500956 1503849886 1515912853 1541762068 1550106376 1567885928 1595922328 1596824999 1630284292 1632843608 1648585939 1652919554 1685772088 1688508731 1732471832 1738415393 1755267514 1755690776 1777277138 1780067212 1818394018 1822082444 1824942856 1837767932 1846057213 1872139654 1884098216 1887156817 1929724264 1932824894 1962242632 1982347577 2032322726 2057899844 2103715796 2109779672 2131396267 2155843151 2156750648 2185128946 2212528682 2265540088 2287833548 2295349826 2300005708 2353215788 2382148769 2382723196 2414074817 2435881448 2463820744 2467820453 2547814633 2561875316 2565390982 2653370863 2698083619 2712686158 2722455736 2758942648 2781073204 2792864074 2820366232 2852997511 2857476314 2863272412 2911788152 2950101154 2965532141 2995001912 3007699772 3031825706 3083524136 3115117621 3188644277 3193649998 3260568584 3297171878 3305839108 3377017462 3476830786 3510535028 3554554276 3560134424 3636788036 3644164888 3675535864 3681502643 3692114426 3744279308 3774313634 3865649788 3878003569 3964695154 4003708709 4064645452 4115799688 4118127629 4169765593 4207431592 4262792534 4311686302 4370257892 4425057364 4483281803 4575667096 4583095127 4590699652 4600011416 4706431576 4764297538 4765446392 4828149634 4866878107 4935640906 5010726721 5095629266 5123750632 5130781964 5306741726 5396167238 5425372316 5562146408 5585728148 5705995022 5714952628 5726544824 5785218439 5900202308 5931064282 6015399544 6063651412 6230235242 6364379063 6377288554 6387299996 6552488789 6594343756 6611678216 6754034924 6953661572 7021070056 7109108552 7113129541 7273576072 7363005286 7384228852 7488558616 7548627268 7647951311 7731299576 7743850387 7756007138 7929390308 8007417418 8129290904 8236255258 8339531186 8525585068 8623372604 8740515784 8850114728 8966563606 9166190254 9181399304 9528595076 9656299268 9733756214 9775024259 9871281812 10001167099 10021453442 10191258532 10261563928 10613483452 10792334476 10850744632 11171456296 11177774993 11411990044 11429905256 11570436878 11800404616 11819561117 11862128564 12127302824 12168907751 12460470484 12728758126 12754577108 12774599992 13104977578 13188687512 13210097719 13508069848 13907323144 14226259082 14726010572 14768457704 14919773869 15097254536 15295902622 15487700774 15512014276 15858780616 16014834836 16472510516 16675041383 16679062372 17051170136 17246745208 17274743171 17933127212 18332380508 18573596041 19057190152 19312598536 19467512428 19550048518 19742563624 20002334198 20042906884 20382517064 20758724987 21226966904 21584668952 21805823347 22355549986 22823980088 23140873756 23639122234 23724257128 24337815502 24920940968 25457516252 25509154216 25770518501 26209955156 26420195438 27146024983 28025960963 28452518164 29452021144 29839547738 30591805244 30975401548 31024028552 31382972621 32029669672 32081665889 32945021032 33350082766 33358124744 34549486342 35075087047 35866254424 36664761016 37147192082 38935024856 39100097036 40004668396 40085813768 40496529073 41517449974 43611646694 44711099972 45867421523 46281747512 47278244468 48675631004 50414046397 50915032504 51541037002 52419910312 52840390876 53535659177 54206952709 54292049966 56051921926 56905036328 59679095476 61183610488 61950803096 62765945242 64163331778 66700165532 69098972684 70008169693 70150174094 74294384164 78200194072 78244424951 80009336792 80993058146 82736927819 83034899948 85182354257 87223293388 89422199944 91734843046 92470684033 94556488936 97351262008 100828092794 103082074004 105680781752 107071318354 108413905418 108584099932 112103843852 119358190952 120923202197 125531890484 128326663556 130015172287 133400331064 138197945368 140016339386 140300348188 145311074909 148588768328 156488849902 161986116292 165473855638 166069799896 170364708514 174446586776 183469686092 184941368066 190022174881 201656185588 206164148008 214142636708 216827810836 217168199864 224207687704 224571661223 241846404394 251063780968 256653327112 260030344574 280032678772 280600696376 283475703511 290622149818 312977699804 323972232584 330947711276 340729417028 352898324779 366939372184 369882736132 380044349762 403312371176 428285273416 433655621672 449143322446 483692808788 520060689148 560065357544 566951407022 581244299636 596276479799 625955399608 661895422552 681458834056 705796649558 739765472264 760088699524 898286644892 910106206009 967385617576 1017177524363 1040121378296 1133902814044 1162488599272 1192552959598 1330155224167 1411593299116 1520177399048 1572001628561 1796573289784 1820212412018 2034355048726 2267805628088 2385105919196 2470288273453 2660310448334 2823186598232 3144003257122 3640424824036 4068710097452 4770211838392 4940576546906 5320620896668 6288006514244 7280849648072 8137420194904 9881153093812 10641241793336 12576013028488 17292017914171 19762306187624 34584035828342 69168071656684 138336143313368
- Sum of all divisors σ(n): 417123302400000
- Sum of proper divisors (its aliquot sum) s(n): 278787159086632
- 138336143313368 is an abundant number, because the sum of its proper divisors (278787159086632) is greater than itself. Its abundance is 140451015773264
Bases of 138336143313368
- Binary: 111110111010000111001001010111010001001110110002
- Hexadecimal: 0x7DD0E4AE89D8
- Base-36: 1D1AQVZU1K
Squares and roots of 138336143313368
- 138336143313368 squared (1383361433133682) is 19136888546816690017447503424
- 138336143313368 cubed (1383361433133683) is 2647323356584384315179142846042942884972032
-
The
square root of 138336143313368 is 11761638.6321535997 -
The
cube root of 138336143313368 is 51718.4167325651
Scales and comparisons
How big is 138336143313368?- 138,336,143,313,368 seconds is equal to 4,398,661 years, 23 weeks, 4 days, 19 hours, 56 minutes, 8 seconds.
-
To count from 1 to 138,336,143,313,368 would take you about ten million, nine hundred ninety-six thousand, six hundred fifty-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 138336143313368 cubic inches would be around 4309.9 feet tall.
Recreational maths with 138336143313368
- 138336143313368 backwards is 863313341633831
- 138336143313368 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138336143313368's digits is 56
- More coming soon!
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MLA style:
"Number 138336143313368 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
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Numbermatics. (2024). Number 138336143313368 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/138336143313368/
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Numbermatics. 2024. "Number 138336143313368 - Facts about the integer". https://numbermatics.com/n/138336143313368/
The information we have on file for 138336143313368 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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