138076231884800
138,076,231,884,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138076231884800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1512 divisors.
138076231884800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 138076231884800:
213 × 52 × 11 × 192 × 412 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 19 × 19 × 41 × 41 × 101)See below for interesting mathematical facts about the number 138076231884800 from the Numbermatics database.
Names of 138076231884800
- Cardinal: 138076231884800 can be written as One hundred thirty-eight trillion, seventy-six billion, two hundred thirty-one million, eight hundred eighty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.380762318848 × 1014
Factors of 138076231884800
Divisors of 138076231884800
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 4 5 8 10 11 16 19 20 22 25 32 38 40 41 44 50 55 64 76 80 82 88 95 100 101 110 128 152 160 164 176 190 200 202 205 209 220 256 275 304 320 328 352 361 380 400 404 410 418 440 451 475 505 512 550 608 640 656 704 722 760 779 800 808 820 836 880 902 950 1010 1024 1025 1045 1100 1111 1216 1280 1312 1408 1444 1520 1558 1600 1616 1640 1672 1681 1760 1804 1805 1900 1919 2020 2048 2050 2090 2200 2222 2255 2432 2525 2560 2624 2816 2888 3040 3116 3200 3232 3280 3344 3362 3520 3608 3610 3800 3838 3895 3971 4040 4096 4100 4141 4180 4400 4444 4510 4864 5050 5120 5225 5248 5555 5632 5776 6080 6232 6400 6464 6560 6688 6724 7040 7216 7220 7600 7676 7790 7942 8080 8192 8200 8282 8360 8405 8569 8800 8888 9020 9025 9595 9728 10100 10240 10450 10496 11110 11264 11275 11552 12160 12464 12800 12928 13120 13376 13448 14080 14432 14440 14801 15200 15352 15580 15884 16160 16400 16564 16720 16810 17138 17600 17776 18040 18050 18491 19190 19456 19475 19855 20200 20480 20705 20900 20992 21109 22220 22528 22550 23104 24320 24928 25600 25856 26240 26752 26896 27775 28160 28864 28880 29602 30400 30704 31160 31768 31939 32320 32800 33128 33440 33620 34276 35200 35552 36080 36100 36461 36982 38380 38912 38950 39710 40400 40960 41410 41800 41984 42025 42218 42845 44440 45056 45100 45551 46208 47975 48640 49856 51200 51712 52480 53504 53792 55550 56320 57728 57760 59204 60800 61408 62320 63536 63878 64640 65600 66256 66880 67240 68552 70400 71104 72160 72200 72922 73964 74005 76760 77824 77900 78679 79420 80800 82820 83600 83968 84050 84436 85690 88880 90112 90200 91102 92416 92455 95950 97280 99275 99712 102400 103424 103525 104960 105545 107008 107584 111100 112640 115456 115520 118408 121600 122816 124640 127072 127756 129280 131200 132512 133760 134480 137104 140800 142208 144320 144400 145844 147928 148010 153520 155648 155800 157358 158840 159695 161600 162811 165640 167200 167936 168100 168872 169781 171380 177760 180400 182204 182305 184832 184910 191900 194560 198550 199424 204800 206848 207050 209920 211090 214016 214225 215168 222200 225280 227755 230912 231040 236816 243200 245632 249280 254144 255512 258560 262400 265024 267520 268960 274208 281600 284416 288640 288800 291688 295856 296020 307040 311600 314716 317680 319390 323200 325622 331280 334400 335872 336200 337744 339562 342760 351329 355520 360800 364408 364610 369664 369820 370025 383800 389120 393395 397100 398848 401071 413696 414100 419840 422180 428032 428450 430336 444400 450560 455510 461824 462080 462275 473632 486400 491264 498560 508288 511024 517120 524800 527725 530048 535040 537920 548416 563200 568832 577280 577600 583376 591712 592040 606841 614080 623200 629432 635360 638780 646400 651244 662560 668800 672400 675488 679124 685520 702658 711040 721600 728816 729220 739328 739640 740050 767600 778240 786790 794200 797696 798475 802142 814055 827392 828200 839680 844360 848905 856064 856900 860672 865469 888800 911020 911525 923648 924160 924550 947264 972800 982528 997120 1016576 1022048 1034240 1049600 1055450 1060096 1070080 1075840 1096832 1126400 1137664 1138775 1154560 1155200 1166752 1183424 1184080 1213682 1228160 1246400 1258864 1270720 1277560 1292800 1302488 1325120 1337600 1344800 1350976 1358248 1371040 1405316 1422080 1443200 1457632 1458440 1478656 1479280 1480100 1494901 1535200 1573580 1588400 1595392 1596950 1604284 1628110 1656400 1679360 1688720 1697810 1712128 1713800 1721344 1730938 1756645 1777600 1822040 1823050 1847296 1848320 1849100 1867591 1894528 1945600 1965056 1966975 1994240 2005355 2033152 2044096 2068480 2099200 2110900 2120192 2140160 2151680 2193664 2252800 2275328 2277550 2309120 2310400 2333504 2366848 2368160 2427364 2456320 2492800 2517728 2541440 2555120 2585600 2604976 2650240 2675200 2689600 2701952 2716496 2742080 2810632 2844160 2886400 2915264 2916880 2957312 2958560 2960200 2989802 3034205 3070400 3147160 3176800 3190784 3193900 3208568 3225839 3256220 3312800 3377440 3395620 3427600 3442688 3461876 3513290 3555200 3644080 3646100 3694592 3696640 3698200 3735182 3789056 3891200 3930112 3933950 3988480 4010710 4066304 4070275 4088192 4136960 4198400 4221800 4240384 4244525 4280320 4303360 4327345 4387328 4550656 4555100 4618240 4620800 4667008 4733696 4736320 4854728 4912640 4985600 5035456 5082880 5110240 5171200 5209952 5300480 5350400 5379200 5403904 5432992 5484160 5621264 5688320 5772800 5830528 5833760 5917120 5920400 5979604 6068410 6140800 6294320 6353600 6381568 6387800 6417136 6451678 6512440 6625600 6675251 6754880 6791240 6855200 6885376 6923752 7026580 7110400 7288160 7292200 7393280 7396400 7470364 7474505 7578112 7860224 7867900 7976960 8021420 8132608 8140550 8176384 8396800 8443600 8480768 8489050 8560640 8606720 8654690 8774656 8783225 9101312 9110200 9236480 9241600 9334016 9337955 9467392 9472640 9709456 9825280 9971200 10026775 10070912 10165760 10220480 10342400 10419904 10600960 10700800 10758400 10807808 10865984 10968320 11242528 11376640 11545600 11661056 11667520 11834240 11840800 11959208 12136820 12281600 12588640 12707200 12775600 12834272 12903356 13024880 13251200 13350502 13509760 13582480 13710400 13770752 13847504 14053160 14220800 14576320 14584400 14786560 14792800 14940728 14949010 15156224 15171025 15720448 15735800 15953920 16042840 16129195 16265216 16281100 16352768 16443911 16887200 16961536 16978100 17213440 17309380 17549312 17566450 18220400 18472960 18483200 18668032 18675910 18934784 18945280 19418912 19650560 19942400 20053550 20141824 20331520 20440960 20684800 20839808 21201920 21401600 21516800 21615616 21636725 21731968 21936640 22485056 22753280 23091200 23322112 23335040 23668480 23681600 23918416 24273640 24563200 25177280 25414400 25551200 25668544 25806712 26049760 26502400 26701004 27019520 27164960 27420800 27695008 28106320 28441600 29152640 29168800 29585600 29881456 29898020 30312448 30342050 31471600 31907840 32085680 32258390 32530432 32562200 32705536 32887822 33376255 33774400 33923072 33956200 34426880 34618760 35098624 35132900 35484229 36440800 36966400 37336064 37351820 37372525 37869568 37890560 38837824 39301120 39884800 40107100 40283648 40663040 40881920 41679616 42403840 42803200 43033600 43231232 43273450 43463936 43873280 44970112 45506560 46182400 46644224 46670080 46689775 47336960 47363200 47836832 48547280 49126400 50354560 50828800 51102400 51337088 51613424 52099520 53004800 53402008 54039040 54329920 54841600 55390016 56212640 56883200 58305280 58337600 59171200 59762912 59796040 60624896 60684100 61290941 62943200 64171360 64516780 65124400 65411072 65775644 66752510 67548800 67912400 68853760 69237520 70197248 70265800 70968458 72881600 73932800 74672128 74703640 74745050 75739136 75781120 77675648 78602240 79769600 80214200 80567296 80645975 81326080 81763840 82219555 83359232 84807680 86067200 86462464 86546900 86927872 87746560 89940224 92364800 93288448 93340160 93379550 94673920 94726400 95673664 97094560 98252800 100709120 101657600 102204800 102674176 103226848 104199040 106009600 106804016 108078080 108659840 109683200 110780032 112425280 113766400 116610560 116675200 118342400 119525824 119592080 121249792 121368200 122581882 125886400 128342720 129033560 130248800 130822144 131551288 133505020 135097600 135824800 138475040 140531600 141936916 145763200 149344256 149407280 149490100 151478272 151562240 155351296 159539200 160428400 161134592 161291950 162652160 163527680 164439110 166718464 166881275 169615360 172134400 172924928 173093800 173855744 175493120 177421145 179880448 186576896 186680320 186759100 189347840 189452800 191347328 194189120 196505600 201418240 203315200 204409600 205348352 206453696 208398080 212019200 213608032 216156160 217319680 219366400 221560064 224850560 227532800 233221120 233350400 236684800 239051648 239184160 242736400 245163764 251772800 256685440 258067120 260497600 261644288 263102576 267010040 270195200 271649600 276950080 281063200 283873832 291526400 298688512 298814560 298980200 303124480 306454705 310702592 320856800 322269184 322583900 327055360 328878220 333436928 333762550 344268800 346187600 347711488 350986240 354842290 359760896 373153792 373360640 373518200 378695680 378905600 382694656 388378240 393011200 402836480 406630400 408819200 410696704 411097775 412907392 416796160 424038400 427216064 432312320 434639360 438732800 443120128 449701120 466442240 466700800 473369600 478103296 478368320 485472800 490327528 503545600 513370880 516134240 520995200 526205152 534020080 540390400 543299200 553900160 562126400 567747664 583052800 597629120 597960400 606248960 612909410 621405184 641713600 644538368 645167800 654110720 657756440 666873856 667525100 674200351 692375200 695422976 709684580 719521792 746721280 747036400 757391360 757811200 765389312 776756480 805672960 813260800 817638400 821393408 822195550 825814784 833592320 848076800 854432128 864624640 869278720 877465600 886240256 887105725 899402240 932884480 933401600 946739200 956206592 956736640 970945600 980655056 1007091200 1026741760 1032268480 1041990400 1052410304 1068040160 1080780800 1086598400 1107800320 1124252800 1135495328 1166105600 1195258240 1195920800 1225818820 1242810368 1283427200 1290335600 1308221440 1315512880 1333747712 1335050200 1348400702 1384750400 1390845952 1419369160 1439043584 1493442560 1494072800 1515622400 1530778624 1532273525 1553512960 1611345920 1635276800 1642786816 1644391100 1651629568 1667184640 1708864256 1738557440 1754931200 1772480512 1774211450 1798804480 1865768960 1866803200 1893478400 1912413184 1913473280 1941891200 1961310112 2014182400 2053483520 2064536960 2083980800 2104820608 2136080320 2161561600 2173196800 2215600640 2248505600 2270990656 2332211200 2390516480 2391841600 2451637640 2485620736 2566854400 2580671200 2631025760 2670100400 2696801404 2769500800 2838738320 2878087168 2988145600 3031244800 3061557248 3064547050 3107025920 3222691840 3270553600 3285573632 3288782200 3303259136 3334369280 3371001755 3417728512 3477114880 3544961024 3548422900 3597608960 3733606400 3786956800 3824826368 3826946560 3883782400 3922620224 4028364800 4106967040 4129073920 4167961600 4209641216 4272160640 4323123200 4346393600 4431201280 4497011200 4541981312 4664422400 4781032960 4783683200 4903275280 4971241472 5133708800 5161342400 5262051520 5340200800 5393602808 5539001600 5677476640 5976291200 6123114496 6129094100 6214051840 6541107200 6577564400 6606518272 6668738560 6742003510 6835457024 6954229760 7089922048 7096845800 7195217920 7467212800 7649652736 7653893120 7767564800 7845240448 8056729600 8213934080 8258147840 8335923200 8419282432 8544321280 8692787200 8862402560 8994022400 9083962624 9328844800 9562065920 9567366400 9806550560 10267417600 10322684800 10524103040 10680401600 10787205616 11078003200 11354953280 11952582400 12246228992 12258188200 12428103680 13155128800 13213036544 13484007020 13670914048 14193691600 14390435840 15299305472 15307786240 15535129600 15690480896 16113459200 16427868160 16516295680 16671846400 16838564864 16855008775 17088642560 17385574400 17724805120 17988044800 18167925248 19124131840 19134732800 19613101120 20534835200 20645369600 21048206080 21360803200 21574411232 22156006400 22709906560 23905164800 24516376400 24856207360 26310257600 26426073088 26968014040 27341828096 28387383200 30615572480 31070259200 31380961792 33032591360 33343692800 33677129728 33710017550 34177285120 34771148800 35449610240 35976089600 36335850496 38248263680 38269465600 39226202240 41069670400 41290739200 42096412160 42721606400 43148822464 44312012800 45419813120 47810329600 49032752800 52620515200 53936028080 54683656192 56774766400 61231144960 62140518400 62761923584 66065182720 67354259456 67420035100 68354570240 71952179200 72671700992 76496527360 76538931200 78452404480 82139340800 82581478400 84192824320 85443212800 86297644928 88624025600 90839626240 95620659200 98065505600 105241030400 107872056160 113549532800 124281036800 125523847168 132130365440 134708518912 134840070200 136709140480 145343401984 153077862400 156904808960 165162956800 168385648640 170886425600 172595289856 177248051200 181679252480 191241318400 196131011200 210482060800 215744112320 227099065600 251047694336 269680140400 273418280960 290686803968 306155724800 313809617920 330325913600 336771297280 341772851200 345190579712 363358504960 382482636800 392262022400 420964121600 431488224640 454198131200 502095388672 539360280800 627619235840 660651827200 673542594560 683545702400 690381159424 726717009920 784524044800 841928243200 862976449280 908396262400 1078720561600 1255238471680 1367091404800 1380762318848 1453434019840 1569048089600 1683856486400 1725952898560 1816792524800 2157441123200 2510476943360 2761524637696 3138096179200 3367712972800 3451905797120 3633585049600 4314882246400 5523049275392 6276192358400 6903811594240 7267170099200 8629764492800 12552384716800 13807623188480 17259528985600 27615246376960 34519057971200 69038115942400 138076231884800
- Sum of all divisors σ(n): 408081395835576
- Sum of proper divisors (its aliquot sum) s(n): 270005163950776
- 138076231884800 is an abundant number, because the sum of its proper divisors (270005163950776) is greater than itself. Its abundance is 131928932065976
Bases of 138076231884800
- Binary: 111110110010100011000001100000011100000000000002
- Hexadecimal: 0x7D9460C0E000
- Base-36: 1CXZCFFW8W
Squares and roots of 138076231884800
- 138076231884800 squared (1380762318848002) is 19065045811505060160471040000
- 138076231884800 cubed (1380762318848003) is 2632429686363707678405773617835016192000000
-
The
square root of 138076231884800 is 11750584.3209944245 -
The
cube root of 138076231884800 is 51686.0062223481
Scales and comparisons
How big is 138076231884800?- 138,076,231,884,800 seconds is equal to 4,390,397 years, 3 weeks, 6 days, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,076,231,884,800 would take you about ten million, nine hundred seventy-five thousand, nine hundred ninety-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 138076231884800 cubic inches would be around 4307.2 feet tall.
Recreational maths with 138076231884800
- 138076231884800 backwards is 008488132670831
- The number of decimal digits it has is: 15
- The sum of 138076231884800's digits is 59
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138076231884800 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.
APA style:
Numbermatics. (2024). Number 138076231884800 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/138076231884800/
Chicago style:
Numbermatics. 2024. "Number 138076231884800 - Facts about the integer". https://numbermatics.com/n/138076231884800/
The information we have on file for 138076231884800 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!
Keywords: Divisors of 138076231884800, math, Factors of 138076231884800, curriculum, school, college, exams, university, Prime factorization of 138076231884800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, seventy-six billion, two hundred thirty-one million, eight hundred eighty-four thousand, eight hundred.