138641882037120
138,641,882,037,120 is an even composite number composed of eight prime numbers multiplied together.
138641882037120 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138641882037120:
27 × 32 × 5 × 7 × 11 × 97 × 233 × 13831
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 97 × 233 × 13831)See below for interesting mathematical facts about the number 138641882037120 from the Numbermatics database.
Names of 138641882037120
- Cardinal: 138641882037120 can be written as One hundred thirty-eight trillion, six hundred forty-one billion, eight hundred eighty-two million, thirty-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3864188203712 × 1014
Factors of 138641882037120
Divisors of 138641882037120
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 32 33 35 36 40 42 44 45 48 55 56 60 63 64 66 70 72 77 80 84 88 90 96 97 99 105 110 112 120 126 128 132 140 144 154 160 165 168 176 180 192 194 198 210 220 224 231 233 240 252 264 280 288 291 308 315 320 330 336 352 360 384 385 388 396 420 440 448 462 466 480 485 495 504 528 560 576 582 616 630 640 660 672 679 693 699 704 720 770 776 792 840 873 880 896 924 932 960 970 990 1008 1056 1067 1120 1152 1155 1164 1165 1232 1260 1320 1344 1358 1386 1398 1408 1440 1455 1540 1552 1584 1631 1680 1746 1760 1848 1864 1920 1940 1980 2016 2037 2097 2112 2134 2240 2310 2328 2330 2464 2520 2563 2640 2688 2716 2772 2796 2880 2910 3080 3104 3168 3201 3262 3360 3395 3465 3492 3495 3520 3696 3728 3880 3960 4032 4074 4194 4224 4268 4365 4480 4620 4656 4660 4893 4928 5040 5126 5280 5335 5432 5544 5592 5760 5820 6111 6160 6208 6336 6402 6524 6720 6790 6930 6984 6990 7040 7392 7456 7469 7689 7760 7920 8064 8148 8155 8388 8536 8730 9240 9312 9320 9603 9786 9856 10080 10185 10252 10485 10560 10670 10864 11088 11184 11640 12222 12320 12416 12672 12804 12815 13048 13440 13580 13831 13860 13968 13980 14679 14784 14912 14938 15378 15520 15840 16005 16296 16310 16776 17072 17460 17941 18480 18624 18640 19206 19572 20160 20370 20504 20970 21120 21340 21728 22176 22368 22407 22601 23067 23280 24444 24465 24640 25608 25630 26096 27160 27662 27720 27936 27960 29358 29568 29824 29876 30555 30756 31040 31680 32010 32592 32620 33552 34144 34920 35882 36960 37248 37280 37345 38412 38445 39144 40320 40740 41008 41493 41940 42680 43456 44352 44736 44814 45202 46134 46560 48015 48888 48930 49280 51216 51260 52192 53823 54320 55324 55440 55872 55920 58716 59752 61110 61512 62080 63360 64020 65184 65240 67104 67221 67803 68288 69155 69840 71764 73395 73920 74560 74690 76824 76890 78288 81480 82016 82986 83880 85360 86912 88704 89472 89628 89705 90404 92268 93120 96030 96817 97776 97860 102432 102520 104384 107646 108640 110648 110880 111744 111840 112035 113005 115335 117432 119504 122220 123024 124479 128040 130368 130480 134208 134442 135606 136576 138310 139680 143528 146790 147840 149120 149380 152141 153648 153780 156576 158207 161469 162960 164032 165972 167760 170720 179256 179410 180808 184536 186240 192060 193634 195552 195720 203409 204864 205040 207465 208768 215292 217280 221296 221760 223680 224070 226010 230670 234864 239008 244440 246048 248611 248958 256080 260736 260960 268416 268884 269115 271212 276620 279360 287056 290451 293580 298760 304282 307296 307560 313152 316414 322938 325920 328064 331944 335520 336105 339015 341440 358512 358820 361616 369072 384120 387268 391104 391440 406818 409728 410080 414930 430584 434560 442592 443520 447360 448140 452020 456423 461340 469728 474621 478016 484085 488880 492096 497222 497916 512160 521920 537768 538230 542424 553240 558720 574112 580902 587160 597520 608564 614592 615120 622395 626304 632828 645876 651840 663888 671040 672210 678030 682880 717024 717640 723232 738144 745833 760705 768240 774536 782208 782880 791035 807345 813636 820160 829860 861168 871353 885184 896280 904040 912846 922680 939456 949242 956032 968170 977760 984192 994444 995832 1017045 1024320 1043840 1064987 1075536 1076460 1084848 1106480 1148224 1161804 1174320 1195040 1217128 1229184 1230240 1243055 1244790 1265656 1291752 1303680 1327776 1341607 1342080 1344420 1356060 1369269 1423863 1434048 1435280 1446464 1452255 1476288 1491666 1521410 1536480 1549072 1565760 1582070 1614690 1627272 1640320 1659720 1722336 1740277 1742706 1770368 1792560 1808080 1825692 1845360 1878912 1898484 1936340 1955520 1988888 1991664 2034090 2048640 2129974 2151072 2152920 2169696 2212960 2237499 2282115 2296448 2323608 2348640 2373105 2390080 2434256 2460480 2486110 2489580 2531312 2583504 2655552 2683214 2688840 2712120 2738538 2847726 2868096 2870560 2892928 2904510 2952576 2983332 3042820 3072960 3098144 3131520 3164140 3194961 3222623 3229380 3254544 3319440 3444672 3480554 3485412 3585120 3616160 3651384 3690720 3729165 3796968 3872680 3911040 3977776 3983328 4024821 4068180 4259948 4302144 4305840 4339392 4356765 4425920 4474998 4564230 4647216 4697280 4746210 4780160 4868512 4920960 4972220 4979160 5062624 5167008 5220831 5311104 5324935 5366428 5377680 5424240 5477076 5695452 5741120 5809020 5966664 6085640 6145920 6196288 6328280 6389922 6445246 6458760 6509088 6638880 6708035 6846345 6889344 6961108 6970824 7119315 7170240 7232320 7302768 7381440 7458330 7593936 7745360 7955552 7966656 8049642 8136360 8519896 8604288 8611680 8678784 8701385 8713530 8851840 8949996 9128460 9294432 9391249 9394560 9492420 9584883 9667869 9737024 9944440 9958320 10125248 10334016 10441662 10649870 10732856 10755360 10848480 10954152 11187495 11390904 11482240 11618040 11933328 12074463 12171280 12392576 12656560 12779844 12890492 12917520 13018176 13277760 13416070 13692690 13922216 13941648 14238630 14340480 14464640 14605536 14757677 14762880 14916660 15187872 15490720 15662493 15911104 15933312 15974805 16099284 16113115 16272720 17039792 17223360 17402770 17427060 17899992 18256920 18588864 18782498 18984840 19169766 19335738 19474048 19888880 19916640 20124105 20250496 20668032 20883324 21299740 21465712 21510720 21696960 21908304 22374990 22558361 22781808 23236080 23866656 24148926 24342560 25313120 25559688 25780984 25835040 26036352 26104155 26555520 26832140 27385380 27844432 27883296 28173747 28477260 29003607 29211072 29515354 29833320 30375744 30981440 31324986 31822208 31949610 32198568 32226230 32545440 34079584 34446720 34805540 34854120 35448853 35799984 36513840 37177728 37564996 37969680 38339532 38671476 39777760 39833280 40248210 41766648 42599480 42931424 43021440 43393920 43816608 44273031 44749980 45116722 45563616 46472160 46956245 47733312 47924415 48297852 48339345 48685120 50626240 51119376 51561968 51670080 52208310 53664280 54770760 55688864 55766592 56347494 56954520 58007214 58422144 59030708 59666640 60372315 60751488 61962880 62649972 63899220 64397136 64452460 65090880 67675083 68159168 69611080 69708240 70897706 71599968 73027680 73788385 75129992 75939360 76679064 77342952 78312465 79555520 79666560 80496420 83533296 84521241 85198960 85862848 87633216 88546062 89499960 90233444 91127232 92944320 93912490 95466624 95848830 96595704 96678690 97370240 101252480 102238752 103123936 103303739 103340160 104416620 106346559 107328560 109541520 111377728 111533184 112694988 112791805 113909040 116014428 118061416 119333280 120744630 125299944 127798440 128794272 128904920 130181760 132819093 135350166 136318336 139222160 139416480 140868735 141795412 143199936 145018035 146055360 147576770 150259984 151878720 153358128 154685904 156624930 159111040 160992840 167066592 169042482 170397920 171725696 175266432 177092124 177244265 178999920 180466888 182254464 185888640 187824980 191697660 193191408 193357380 203025249 204477504 206247872 206607478 208833240 212693118 214657120 219083040 221365155 222755456 225389976 225583610 227818080 232028856 236122832 238666560 241489260 248141971 250599888 255596880 257588544 257809840 265638186 270700332 278444320 278832960 281737470 283590824 286399872 290036070 292110720 295153540 300519968 303757440 306716256 309371808 309911217 312594431 313249860 319039677 321985680 334133184 338084964 338375415 340795840 354184248 354488530 357999840 360933776 375649960 383395320 386382816 386714760 406050498 408955008 412495744 413214956 417666480 422606205 425386236 429314240 438166080 442730310 450779952 451167220 455636160 464057712 472245664 477333120 482978520 496283942 501199776 511193760 515177088 515619680 516518695 531276372 531732795 541400664 556888640 557665920 563474940 567181648 580072140 590307080 601039936 613432512 618743616 619822434 625188862 626499720 638079354 643971360 664095465 668266368 676169928 676750830 681591680 708368496 708977060 715999680 721867552 744425913 751299920 766790640 772765632 773429520 812100996 826429912 835332960 845212410 850772472 858628480 876332160 885460620 901559904 902334440 911272320 928115424 929733651 937783293 944491328 965957040 992567884 1002399552 1015126245 1022387520 1031239360 1033037390 1062552744 1063465590 1082801328 1113777280 1126949880 1134363296 1160144280 1180614160 1202079872 1226865024 1237487232 1239644868 1240709855 1250377724 1252999440 1276158708 1287942720 1328190930 1352339856 1353501660 1416736992 1417954120 1431999360 1443735104 1488851826 1502599840 1533581280 1545531264 1546859040 1549556085 1562972155 1595198385 1624201992 1652859824 1670665920 1690424820 1701544944 1770921240 1803119808 1804668880 1856230848 1859467302 1875566586 1888982656 1931914080 1985135768 2004799104 2030252490 2044775040 2062478720 2066074780 2125105488 2126931180 2165602656 2188161017 2233277739 2253899760 2268726592 2320288560 2361228320 2479289736 2481419710 2500755448 2505998880 2552317416 2575885440 2656381860 2704679712 2707003320 2813349879 2833473984 2835908240 2887470208 2977703652 3005199680 3067162560 3093718080 3099112170 3125944310 3190396770 3248403984 3305719648 3341331840 3380849640 3403089888 3438538741 3541842480 3606239616 3609337760 3712461696 3718934604 3722129565 3751133172 3863828160 3970271536 4060504980 4132149560 4250210976 4253862360 4331205312 4376322034 4466555478 4507799520 4537453184 4640577120 4648668255 4688916465 4722456640 4958579472 4962839420 5001510896 5011997760 5104634832 5312763720 5409359424 5414006640 5626699758 5666947968 5671816480 5955407304 6010399360 6134325120 6187436160 6198224340 6251888620 6380793540 6496807968 6564483051 6611439296 6761699280 6806179776 6877077482 7083684960 7218675520 7437869208 7444259130 7502266344 7727656320 7940543072 8121009960 8264299120 8500421952 8507724720 8662410624 8752644068 8933110956 9015599040 9281154240 9297336510 9377832930 9444913280 9917158944 9925678840 10003021792 10023995520 10209269664 10315616223 10625527440 10818718848 10828013280 10940805085 11166388695 11253399516 11343632960 11910814608 12396448680 12503777240 12761587080 12993615936 13128966102 13222878592 13523398560 13612359552 13754154964 14066749395 14167369920 14437351040 14875738416 14888518260 15004532688 15881086144 16242019920 16528598240 17000843904 17015449440 17192693705 17505288136 17866221912 18031198080 18562308480 18594673020 18755665860 19693449153 19834317888 19851357680 20006043584 20418539328 20631232446 21251054880 21656026560 21881610170 22332777390 22506799032 22687265920 23821629216 24069771187 24792897360 25007554480 25523174160 25987231872 26257932204 27046797120 27508309928 28133498790 28334739840 29751476832 29777036520 30009065376 30946848669 31762172288 32484039840 32822415255 33057196480 34030898880 34385387410 35010576272 35732443824 37189346040 37511331720 39386898306 39668635776 39702715360 40012087168 40837078656 41262464892 42502109760 43312053120 43763220340 44665554780 45013598064 47643258432 48139542374 49585794720 50015108960 51046348320 51578081115 52515864408 54093594240 55016619856 56266997580 59502953664 59554073040 60018130752 61893697338 64968079680 65644830510 66114392960 68061797760 68770774820 70021152544 71464887648 72209313561 74378692080 75022663440 78773796612 79405430720 82524929784 85004219520 87526440680 89331109560 90027196128 95286516864 96279084748 98467245765 99171589440 100030217920 102092696640 103156162230 105031728816 110033239712 112533995160 119005907328 119108146080 120036261504 120348855935 123787394676 129936159360 131289661020 137541549640 140042305088 142929775296 144418627122 148757384160 150045326880 154734243345 157547593224 158810861440 165049859568 175052881360 178662219120 180054392256 192558169496 196934491530 198343178880 200060435840 204185393280 206312324460 210063457632 216627940683 220066479424 225067990320 238216292160 240697711870 247574789352 262579322040 275083099280 280084610176 285859550592 288837254244 297514768320 300090653760 309468486690 315095186448 330099719136 350105762720 357324438240 360108784512 361046567805 385116338992 393868983060 412624648920 420126915264 433255881366 440132958848 450135980640 476432584320 481395423740 495149578704 525158644080 550166198560 577674508488 595029536640 600181307520 618936973380 630190372896 660199438272 700211525440 714648876480 722093135610 770232677984 787737966120 825249297840 840253830528 866511762732 900271961280 962790847480 990299157408 1050317288160 1083139703415 1100332397120 1155349016976 1237873946760 1260380745792 1320398876544 1400423050880 1429297752960 1444186271220 1540465355968 1575475932240 1650498595680 1733023525464 1800543922560 1925581694960 1980598314816 2100634576320 2166279406830 2200664794240 2310698033952 2475747893520 2520761491584 2888372542440 3080930711936 3150951864480 3300997191360 3466047050928 3851163389920 3961196629632 4201269152640 4332558813660 4621396067904 4951495787040 5776745084880 6301903728960 6601994382720 6932094101856 7702326779840 8665117627320 9242792135808 9902991574080 11553490169760 12603807457920 13864188203712 15404653559680 17330235254640 19805983148160 23106980339520 27728376407424 34660470509280 46213960679040 69320941018560 138641882037120
- Sum of all divisors σ(n): 605665630402560
- Sum of proper divisors (its aliquot sum) s(n): 467023748365440
- 138641882037120 is an abundant number, because the sum of its proper divisors (467023748365440) is greater than itself. Its abundance is 328381866328320
Bases of 138641882037120
- Binary: 111111000011000000101000010000100111011100000002
- Hexadecimal: 0x7E1814213B80
- Base-36: 1D5778XR40
Squares and roots of 138641882037120
- 138641882037120 squared (1386418820371202) is 19221571454794697321057894400
- 138641882037120 cubed (1386418820371203) is 2664914842203719492613803875130929840128000
-
The
square root of 138641882037120 is 11774628.7430695665 -
The
cube root of 138641882037120 is 51756.4899061529
Scales and comparisons
How big is 138641882037120?- 138,641,882,037,120 seconds is equal to 4,408,383 years, 11 hours, 12 minutes.
-
To count from 1 to 138,641,882,037,120 would take you about eleven million, twenty thousand, nine hundred fifty-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 138641882037120 cubic inches would be around 4313 feet tall.
Recreational maths with 138641882037120
- 138641882037120 backwards is 021730288146831
- The number of decimal digits it has is: 15
- The sum of 138641882037120's digits is 54
- More coming soon!
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"Number 138641882037120 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
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Numbermatics. (2024). Number 138641882037120 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/138641882037120/
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Numbermatics. 2024. "Number 138641882037120 - Facts about the integer". https://numbermatics.com/n/138641882037120/
The information we have on file for 138641882037120 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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