138118706373132288
138,118,706,373,132,288 is an even composite number composed of four prime numbers multiplied together.
138118706373132288 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eight hundred sixteen divisors.
Prime factorization of 138118706373132288:
216 × 33 × 713 × 4672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 71 × 71 × 71 × 467 × 467)See below for interesting mathematical facts about the number 138118706373132288 from the Numbermatics database.
Names of 138118706373132288
- Cardinal: 138118706373132288 can be written as One hundred thirty-eight quadrillion, one hundred eighteen trillion, seven hundred six billion, three hundred seventy-three million, one hundred thirty-two thousand, two hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38118706373132288 × 1017
Factors of 138118706373132288
Divisors of 138118706373132288
- Number of divisors d(n): 816
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 96 108 128 142 144 192 213 216 256 284 288 384 426 432 467 512 568 576 639 768 852 864 934 1024 1136 1152 1278 1401 1536 1704 1728 1868 1917 2048 2272 2304 2556 2802 3072 3408 3456 3736 3834 4096 4203 4544 4608 5041 5112 5604 6144 6816 6912 7472 7668 8192 8406 9088 9216 10082 10224 11208 12288 12609 13632 13824 14944 15123 15336 16384 16812 18176 18432 20164 20448 22416 24576 25218 27264 27648 29888 30246 30672 32768 33157 33624 36352 36864 40328 40896 44832 45369 49152 50436 54528 55296 59776 60492 61344 65536 66314 67248 72704 73728 80656 81792 89664 90738 98304 99471 100872 109056 110592 119552 120984 122688 132628 134496 136107 145408 147456 161312 163584 179328 181476 196608 198942 201744 218089 218112 221184 239104 241968 245376 265256 268992 272214 290816 294912 298413 322624 327168 357911 358656 362952 397884 403488 436178 436224 442368 478208 483936 490752 530512 537984 544428 581632 589824 596826 645248 654267 654336 715822 717312 725904 795768 806976 872356 872448 884736 895239 956416 967872 981504 1061024 1073733 1075968 1088856 1163264 1193652 1290496 1308534 1308672 1431644 1434624 1451808 1591536 1613952 1744712 1744896 1769472 1790478 1912832 1935744 1962801 1963008 2122048 2147466 2151936 2177712 2326528 2354147 2387304 2580992 2617068 2617344 2863288 2869248 2903616 3183072 3221199 3227904 3489424 3489792 3580956 3825664 3871488 3925602 3926016 4244096 4294932 4303872 4355424 4653056 4708294 4774608 5161984 5234136 5234688 5726576 5738496 5807232 5888403 6366144 6442398 6455808 6978848 6979584 7062441 7161912 7651328 7742976 7851204 7852032 8488192 8589864 8607744 8710848 9416588 9549216 9663597 10323968 10468272 10469376 11453152 11476992 11614464 11776806 12732288 12884796 12911616 13957696 13959168 14124882 14323824 15302656 15484319 15485952 15702408 15704064 16976384 17179728 17215488 17421696 18833176 19098432 19327194 20647936 20936544 20938752 21187323 22906304 22953984 23228928 23553612 25464576 25769592 25823232 27915392 28249764 28647648 30605312 30968638 30971904 31404816 31408128 33952768 34359456 34430976 34843392 37666352 38196864 38654388 41295872 41873088 41877504 42374646 45812608 45907968 46452957 46457856 47107224 50929152 51539184 51646464 55830784 56499528 57295296 61937276 61943808 62809632 62816256 63561969 67905536 68718912 68861952 69686784 75332704 76393728 77308776 82591744 83746176 84749292 91625216 91815936 92905914 92915712 94214448 101858304 103078368 103292928 111661568 112999056 114590592 123874552 123887616 125619264 125632512 127123938 135811072 137437824 137723904 139358871 139373568 150665408 152787456 154617552 165183488 167144437 167492352 169498584 183250432 185811828 185831424 188428896 203716608 206156736 206585856 223323136 225998112 229181184 247749104 247775232 251238528 254247876 271622144 274875648 275447808 278717742 278747136 301330816 305574912 309235104 330366976 334288874 334984704 338997168 366500864 371623656 371662848 376857792 407433216 412313472 413171712 418076613 446646272 451996224 458362368 495498208 495550464 501433311 502477056 508495752 543244288 549751296 557435484 557494272 602661632 611149824 618470208 668577748 669969408 677994336 733001728 743247312 743325696 753715584 814866432 824626944 826343424 836153226 893292544 903992448 916724736 990996416 991100928 1002866622 1004954112 1016991504 1086488576 1099386649 1099502592 1114870968 1114988544 1205323264 1222299648 1236940416 1337155496 1339938816 1355988672 1466003456 1486494624 1486651392 1504299933 1507431168 1629732864 1649253888 1672306452 1786585088 1807984896 1833449472 1981992832 2005733244 2009908224 2033983008 2172977152 2198773298 2199005184 2229741936 2229977088 2410646528 2444599296 2473880832 2674310992 2679877632 2711977344 2932006912 2972989248 2973302784 3008599866 3014862336 3259465728 3298159947 3298507776 3344612904 3573170176 3615969792 3666898944 3963985664 4011466488 4019816448 4067966016 4397546596 4398010368 4459483872 4459954176 4512899799 4821293056 4889198592 4947761664 5348621984 5359755264 5423954688 5864013824 5945978496 6017199732 6029724672 6518931456 6596319894 6597015552 6689225808 7146340352 7231939584 7333797888 7927971328 8022932976 8039632896 8135932032 8795093192 8796020736 8918967744 8919908352 9025799598 9642586112 9778397184 9894479841 9895523328 10697243968 10719510528 10847909376 11728027648 11891956992 12034399464 12059449344 13192639788 13194031104 13378451616 14292680704 14463879168 14667595776 15855942656 16045865952 16079265792 16271864064 17590186384 17592041472 17837935488 18051599196 19285172224 19556794368 19788959682 19791046656 21394487936 21439021056 21695818752 23456055296 23783913984 24068798928 24118898688 26385279576 26388062208 26756903232 28927758336 29335191552 29683439523 31711885312 32091731904 32158531584 32543728128 35180372768 35184082944 35675870976 36103198392 38570344448 39577919364 39582093312 42788975872 42878042112 43391637504 47567827968 48137597856 48237797376 52770559152 52776124416 53513806464 57855516672 58670383104 59366879046 63423770624 64183463808 64317063168 65087456256 70360745536 70368165888 71351741952 72206396784 77140688896 78056452079 79155838728 79164186624 85577951744 86783275008 95135655936 96275195712 96475594752 105541118304 105552248832 107027612928 115711033344 118733758092 126847541248 128366927616 128634126336 130174912512 140721491072 142703483904 144412793568 154281377792 156112904158 158311677456 158328373248 171155903488 173566550016 190271311872 192550391424 192951189504 211082236608 211104497664 214055225856 231422066688 234169356237 237467516184 253695082496 256733855232 260349825024 281442982144 285406967808 288825587136 312225808316 316623354912 316656746496 342311806976 347133100032 380542623744 385100782848 385902379008 422164473216 428110451712 462844133376 468338712474 474935032368 507390164992 513467710464 520699650048 562885964288 570813935616 577651174272 624451616632 633246709824 633313492992 684623613952 694266200064 702508068711 761085247488 770201565696 844328946432 856220903424 936677424948 949870064736 1014780329984 1026935420928 1041399300096 1125771928576 1141627871232 1155302348544 1248903233264 1266493419648 1369247227904 1388532400128 1405016137422 1522170494976 1540403131392 1688657892864 1712441806848 1873354849896 1899740129472 2053870841856 2082798600192 2107524206133 2251543857152 2283255742464 2310604697088 2497806466528 2532986839296 2738494455808 2810032274844 3044340989952 3080806262784 3377315785728 3424883613696 3746709699792 3799480258944 4107741683712 4165597200384 4215048412266 4503087714304 4566511484928 4621209394176 4995612933056 5065973678592 5476988911616 5620064549688 6161612525568 6754631571456 6849767227392 7493419399584 7598960517888 8215483367424 8430096824532 9006175428608 9133022969856 9242418788352 9991225866112 10131947357184 10953977823232 11240129099376 12323225051136 13509263142912 13699534454784 14986838799168 15197921035776 16430966734848 16860193649064 18012350857216 18484837576704 19982451732224 20263894714368 22480258198752 24646450102272 27018526285824 27399068909568 29973677598336 30395842071552 32861933469696 33720387298128 36024701714432 36969675153408 39964903464448 40527789428736 44960516397504 49292900204544 54037052571648 59947355196672 60791684143104 67440774596256 72049403428864 73939350306816 79929806928896 81055578857472 89921032795008 98585800409088 108074105143296 119894710393344 121583368286208 134881549192512 147878700613632 159859613857792 162111157714944 179842065590016 216148210286592 239789420786688 243166736572416 269763098385024 295757401227264 319719227715584 324222315429888 359684131180032 479578841573376 486333473144832 539526196770048 639438455431168 648444630859776 719368262360064 959157683146752 972666946289664 1079052393540096 1278876910862336 1438736524720128 1918315366293504 1945333892579328 2158104787080192 2557753821724672 2877473049440256 3836630732587008 4316209574160384 5115507643449344 5754946098880512 7673261465174016 8632419148320768 11509892197761024 15346522930348032 17264838296641536 23019784395522048 34529676593283072 46039568791044096 69059353186566144 138118706373132288
- Sum of all divisors σ(n): 415974456247605120
- Sum of proper divisors (its aliquot sum) s(n): 277855749874472832
- 138118706373132288 is an abundant number, because the sum of its proper divisors (277855749874472832) is greater than itself. Its abundance is 139737043501340544
Bases of 138118706373132288
- Binary: 1111010101011001000111011010011100011010100000000000000002
- Hexadecimal: 0x1EAB23B4E350000
- Base-36: 11RYZTRB8QO0
Squares and roots of 138118706373132288
- 138118706373132288 squared (1381187063731322882) is 19076777050187533709986360348114944
- 138118706373132288 cubed (1381187063731322883) is 2634859767940560681757060651215684690027069541711872
-
The
square root of 138118706373132288 is 371643251.4833711977 -
The
cube root of 138118706373132288 is 516913.0549693411
Scales and comparisons
How big is 138118706373132288?- 138,118,706,373,132,288 seconds is equal to 4,391,747,633 years, 23 weeks, 4 days, 22 hours, 4 minutes, 48 seconds.
-
To count from 1 to 138,118,706,373,132,288 would take you about thirteen billion, one hundred seventy-five million, two hundred forty-two thousand, nine hundred 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 138118706373132288 cubic inches would be around 43076.1 feet tall.
Recreational maths with 138118706373132288
- 138118706373132288 backwards is 882231373607811831
- 138118706373132288 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138118706373132288's digits is 72
- More coming soon!
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Numbermatics. (2024). Number 138118706373132288 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/138118706373132288/
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The information we have on file for 138118706373132288 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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