138211248439296
138,211,248,439,296 is an even composite number composed of five prime numbers multiplied together.
What does the number 138211248439296 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 972 divisors.
138211248439296 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 138211248439296:
217 × 32 × 23 × 372 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 23 × 37 × 37 × 61 × 61)See below for interesting mathematical facts about the number 138211248439296 from the Numbermatics database.
Names of 138211248439296
- Cardinal: 138211248439296 can be written as One hundred thirty-eight trillion, two hundred eleven billion, two hundred forty-eight million, four hundred thirty-nine thousand, two hundred ninety-six.
Scientific notation
- Scientific notation: 1.38211248439296 × 1014
Factors of 138211248439296
Divisors of 138211248439296
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 32 36 37 46 48 61 64 69 72 74 92 96 111 122 128 138 144 148 183 184 192 207 222 244 256 276 288 296 333 366 368 384 414 444 488 512 549 552 576 592 666 732 736 768 828 851 888 976 1024 1098 1104 1152 1184 1332 1369 1403 1464 1472 1536 1656 1702 1776 1952 2048 2196 2208 2257 2304 2368 2553 2664 2738 2806 2928 2944 3072 3312 3404 3552 3721 3904 4096 4107 4209 4392 4416 4514 4608 4736 5106 5328 5476 5612 5856 5888 6144 6624 6771 6808 7104 7442 7659 7808 8192 8214 8418 8784 8832 9028 9216 9472 10212 10656 10952 11163 11224 11712 11776 12288 12321 12627 13248 13542 13616 14208 14884 15318 15616 16384 16428 16836 17568 17664 18056 18432 18944 20313 20424 21312 21904 22326 22448 23424 23552 24576 24642 25254 26496 27084 27232 28416 29768 30636 31232 31487 32768 32856 33489 33672 35136 35328 36112 36864 37888 40626 40848 42624 43808 44652 44896 46848 47104 49152 49284 50508 51911 52992 54168 54464 56832 59536 61272 62464 62974 65536 65712 66978 67344 70272 70656 72224 73728 75776 81252 81696 83509 85248 85583 87616 89304 89792 93696 94208 94461 98304 98568 101016 103822 105984 108336 108928 113664 119072 122544 124928 125948 131072 131424 133956 134688 137677 140544 141312 144448 147456 151552 155733 162504 163392 167018 170496 171166 175232 178608 179584 187392 188416 188922 196608 197136 202032 207644 211968 216672 217856 227328 238144 245088 249856 250527 251896 256749 262848 267912 269376 275354 281088 282624 283383 288896 294912 303104 311466 325008 326784 334036 340992 342332 350464 357216 359168 374784 376832 377844 393216 394272 404064 413031 415288 423936 433344 435712 454656 467199 476288 490176 499712 501054 503792 513498 525696 535824 538752 550708 562176 565248 566766 577792 589824 606208 622932 650016 653568 668072 681984 684664 700928 714432 718336 749568 751581 753664 755688 770247 788544 808128 826062 830576 847872 866688 871424 909312 934398 952576 980352 999424 1002108 1007584 1026996 1051392 1071648 1077504 1101416 1124352 1130496 1133532 1155584 1179648 1212416 1239093 1245864 1300032 1307136 1336144 1363968 1369328 1401856 1428864 1436672 1499136 1503162 1507328 1511376 1540494 1577088 1616256 1652124 1661152 1695744 1733376 1742848 1818624 1868796 1905152 1920707 1960704 1998848 2004216 2015168 2053992 2102784 2143296 2155008 2202832 2248704 2260992 2267064 2311168 2424832 2478186 2491728 2600064 2614272 2672288 2727936 2738656 2803712 2857728 2873344 2998272 3006324 3014656 3022752 3080988 3154176 3166571 3232512 3304248 3322304 3391488 3466752 3485696 3637248 3737592 3810304 3841414 3921408 3997696 4008432 4030336 4107984 4205568 4286592 4310016 4405664 4497408 4521984 4534128 4622336 4849664 4956372 4983456 5094049 5200128 5228544 5344576 5455872 5477312 5607424 5715456 5746688 5762121 5996544 6012648 6045504 6161976 6308352 6333142 6465024 6608496 6644608 6782976 6933504 6971392 7274496 7475184 7620608 7682828 7842816 7995392 8016864 8060672 8215968 8411136 8573184 8620032 8811328 8994816 9043968 9068256 9244672 9499713 9912744 9966912 10188098 10400256 10457088 10689152 10911744 10954624 11214848 11430912 11493376 11524242 11993088 12025296 12091008 12323952 12616704 12666284 12930048 13216992 13289216 13565952 13867008 13942784 14548992 14950368 15241216 15282147 15365656 15685632 16033728 16121344 16431936 16822272 17146368 17240064 17286363 17622656 17989632 18136512 18489344 18999426 19825488 19933824 20376196 20800512 20914176 21378304 21823488 21909248 22429696 22861824 22986752 23048484 23986176 24050592 24182016 24647904 25233408 25332568 25860096 26433984 26578432 27131904 27734016 27885568 28499139 29900736 30482432 30564294 30731312 31371264 32067456 32242688 32863872 33644544 34292736 34480128 34572726 35245312 35979264 36273024 36978688 37998852 39650976 39867648 40752392 41601024 41828352 42756608 43646976 43818496 44859392 45723648 45846441 45973504 46096968 48101184 48364032 49295808 50466816 50665136 51720192 52867968 53156864 55468032 55771136 56998278 59801472 60964864 61128588 61462624 62742528 64134912 64485376 65727744 67289088 68585472 68960256 69145452 70490624 71958528 72546048 73957376 75997704 79301952 79735296 81504784 83202048 83656704 85513216 87636992 89718784 91447296 91692882 91947008 92193936 96202368 96728064 98591616 100933632 101330272 103440384 105735936 106313728 110936064 111542272 113996556 117163127 119602944 121929728 122257176 122925248 125485056 128269824 128970752 131455488 134578176 137170944 137920512 138290904 140981248 145092096 147914752 151995408 158603904 159470592 163009568 166404096 167313408 171026432 175273984 179437568 182894592 183385764 183894016 184387872 192404736 193456128 197183232 201867264 202660544 206880768 211471872 212627456 221872128 227993112 234326254 239205888 243859456 244514352 245850496 250970112 256539648 257941504 262910976 269156352 274341888 275841024 276581808 281962496 290184192 295829504 303990816 317207808 318941184 326019136 332808192 334626816 342052864 350547968 351489381 365789184 366771528 368775744 384809472 386912256 394366464 403734528 405321088 413761536 422943744 425254912 443744256 455986224 468652508 478411776 487718912 489028704 491700992 501940224 513079296 515883008 525821952 538312704 548683776 551682048 553163616 563924992 580368384 607981632 634415616 637882368 652038272 665616384 684105728 701095936 702978762 731578368 733543056 737551488 769618944 773824512 788732928 807469056 810642176 827523072 845887488 850509824 887488512 911972448 937305016 956823552 978057408 983401984 1003880448 1026158592 1031766016 1051643904 1054468143 1097367552 1106327232 1127849984 1160736768 1215963264 1268831232 1275764736 1304076544 1331232768 1368211456 1402191872 1405957524 1463156736 1467086112 1475102976 1539237888 1547649024 1577465856 1614938112 1621284352 1655046144 1691774976 1701019648 1823944896 1874610032 1913647104 1956114816 1966803968 2052317184 2063532032 2103287808 2108936286 2194735104 2212654464 2255699968 2321473536 2431926528 2537662464 2551529472 2608153088 2662465536 2736422912 2804383744 2811915048 2934172224 2950205952 3078475776 3095298048 3154931712 3242568704 3383549952 3402039296 3647889792 3749220064 3827294208 3912229632 3933607936 4104634368 4127064064 4206575616 4217872572 4389470208 4425308928 4511399936 4642947072 4863853056 5075324928 5103058944 5216306176 5472845824 5608767488 5623830096 5868344448 5900411904 6156951552 6190596096 6309863424 6485137408 6767099904 6804078592 7295779584 7498440128 7654588416 7824459264 7867215872 8209268736 8413151232 8435745144 8850617856 9022799872 9285894144 9727706112 10150649856 10206117888 10432612352 10945691648 11217534976 11247660192 11736688896 11800823808 12313903104 12381192192 12619726848 12970274816 13534199808 14591559168 14996880256 15309176832 15648918528 15734431744 16418537472 16826302464 16871490288 17701235712 18045599744 18571788288 19455412224 20301299712 20412235776 20865224704 22495320384 23473377792 23601647616 24627806208 25239453696 25940549632 27068399616 29183118336 29993760512 30618353664 31297837056 31468863488 32837074944 33652604928 33742980576 35402471424 37143576576 38910824448 40602599424 41730449408 44990640768 46946755584 47203295232 49255612416 50478907392 51881099264 54136799232 58366236672 59987521024 61236707328 62595674112 62937726976 67485961152 70804942848 77821648896 81205198848 83460898816 89981281536 93893511168 94406590464 98511224832 100957814784 103762198528 116732473344 119975042048 125191348224 125875453952 134971922304 141609885696 155643297792 162410397696 166921797632 179962563072 187787022336 188813180928 207524397056 233464946688 239950084096 250382696448 251750907904 269943844608 283219771392 311286595584 333843595264 359925126144 375574044672 377626361856 415048794112 466929893376 479900168192 500765392896 539887689216 566439542784 622573191168 667687190528 719850252288 751148089344 755252723712 933859786752 959800336384 1001530785792 1079775378432 1132879085568 1245146382336 1439700504576 1502296178688 1867719573504 1919600672768 2003061571584 2159550756864 2265758171136 2879401009152 3004592357376 3735439147008 3839201345536 4319101513728 5758802018304 6009184714752 7678402691072 8638203027456 11517604036608 15356805382144 17276406054912 23035208073216 34552812109824 46070416146432 69105624219648 138211248439296
- Sum of all divisors σ(n): 435334712399496
- Sum of proper divisors (its aliquot sum) s(n): 297123463960200
- 138211248439296 is an abundant number, because the sum of its proper divisors (297123463960200) is greater than itself. Its abundance is 158912215520904
Bases of 138211248439296
- Binary: 111110110110011110100000101111000000000000000002
- Hexadecimal: 0x7DB3D05E0000
- Base-36: 1CZPDCT8G0
Squares and roots of 138211248439296
- 138211248439296 squared (1382112484392962) is 19102349195148800995796975616
- 138211248439296 cubed (1382112484392963) is 2640159530384896923364830436762556968206336
-
The
square root of 138211248439296 is 11756328.0168297447 -
The
cube root of 138211248439296 is 51702.8476270467
Scales and comparisons
How big is 138211248439296?- 138,211,248,439,296 seconds is equal to 4,394,690 years, 9 weeks, 4 days, 7 hours, 21 minutes, 36 seconds.
-
To count from 1 to 138,211,248,439,296 would take you about ten million, nine hundred eighty-six thousand, seven hundred twenty-five 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 138211248439296 cubic inches would be around 4308.6 feet tall.
Recreational maths with 138211248439296
- 138211248439296 backwards is 692934842112831
- The number of decimal digits it has is: 15
- The sum of 138211248439296's digits is 63
- More coming soon!
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The information we have on file for 138211248439296 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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