138442531968000
138,442,531,968,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138442531968000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1408 divisors.
138442531968000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 138442531968000:
210 × 33 × 53 × 13 × 31 × 99401
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 31 × 99401)See below for interesting mathematical facts about the number 138442531968000 from the Numbermatics database.
Names of 138442531968000
- Cardinal: 138442531968000 can be written as One hundred thirty-eight trillion, four hundred forty-two billion, five hundred thirty-one million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.38442531968 × 1014
Factors of 138442531968000
Divisors of 138442531968000
- Number of divisors d(n): 1408
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 31 32 36 39 40 45 48 50 52 54 60 62 64 65 72 75 78 80 90 93 96 100 104 108 117 120 124 125 128 130 135 144 150 155 156 160 180 186 192 195 200 208 216 225 234 240 248 250 256 260 270 279 288 300 310 312 320 325 351 360 372 375 384 390 400 403 416 432 450 465 468 480 496 500 512 520 540 558 576 585 600 620 624 640 650 675 702 720 744 750 768 775 780 800 806 832 837 864 900 930 936 960 975 992 1000 1024 1040 1080 1116 1125 1152 1170 1200 1209 1240 1248 1280 1300 1350 1395 1404 1440 1488 1500 1536 1550 1560 1600 1612 1625 1664 1674 1728 1755 1800 1860 1872 1920 1950 1984 2000 2015 2080 2160 2232 2250 2304 2325 2340 2400 2418 2480 2496 2560 2600 2700 2790 2808 2880 2925 2976 3000 3072 3100 3120 3200 3224 3250 3328 3348 3375 3456 3510 3600 3627 3720 3744 3840 3875 3900 3968 4000 4030 4160 4185 4320 4464 4500 4608 4650 4680 4800 4836 4875 4960 4992 5120 5200 5400 5580 5616 5760 5850 5952 6000 6045 6200 6240 6400 6448 6500 6656 6696 6750 6912 6975 7020 7200 7254 7440 7488 7680 7750 7800 7936 8000 8060 8320 8370 8640 8775 8928 9000 9216 9300 9360 9600 9672 9750 9920 9984 10075 10400 10800 10881 11160 11232 11520 11625 11700 11904 12000 12090 12400 12480 12800 12896 13000 13312 13392 13500 13824 13950 14040 14400 14508 14625 14880 14976 15360 15500 15600 15872 16000 16120 16640 16740 17280 17550 17856 18000 18135 18600 18720 19200 19344 19500 19840 19968 20150 20800 20925 21600 21762 22320 22464 23040 23250 23400 23808 24000 24180 24800 24960 25600 25792 26000 26784 27000 27648 27900 28080 28800 29016 29250 29760 29952 30225 31000 31200 31744 32000 32240 33280 33480 34560 34875 35100 35712 36000 36270 37200 37440 38400 38688 39000 39680 39936 40300 41600 41850 43200 43524 43875 44640 44928 46080 46500 46800 47616 48000 48360 49600 49920 50375 51584 52000 53568 54000 54405 55800 56160 57600 58032 58500 59520 59904 60450 62000 62400 64000 64480 66560 66960 69120 69750 70200 71424 72000 72540 74400 74880 76800 77376 78000 79360 80600 83200 83700 86400 87048 87750 89280 89856 90675 93000 93600 95232 96000 96720 99200 99401 99840 100750 103168 104000 104625 107136 108000 108810 111600 112320 115200 116064 117000 119040 119808 120900 124000 124800 128000 128960 133920 138240 139500 140400 142848 144000 145080 148800 149760 151125 154752 156000 158720 161200 166400 167400 172800 174096 175500 178560 179712 181350 186000 187200 192000 193440 198400 198802 199680 201500 206336 208000 209250 214272 216000 217620 223200 224640 230400 232128 234000 238080 241800 248000 249600 257920 267840 272025 279000 280800 285696 288000 290160 297600 298203 299520 302250 309504 312000 322400 332800 334800 345600 348192 351000 357120 359424 362700 372000 374400 384000 386880 396800 397604 403000 412672 416000 418500 428544 432000 435240 446400 449280 453375 464256 468000 476160 483600 496000 497005 499200 515840 535680 544050 558000 561600 576000 580320 595200 596406 599040 604500 619008 624000 644800 669600 691200 696384 702000 714240 725400 744000 748800 773760 793600 795208 806000 832000 837000 857088 864000 870480 892800 894609 898560 906750 928512 936000 967200 992000 994010 998400 1031680 1071360 1088100 1116000 1123200 1152000 1160640 1190400 1192812 1209000 1238016 1248000 1289600 1292213 1339200 1360125 1392768 1404000 1428480 1450800 1488000 1491015 1497600 1547520 1590416 1612000 1664000 1674000 1728000 1740960 1785600 1789218 1797120 1813500 1857024 1872000 1934400 1984000 1988020 2063360 2142720 2176200 2232000 2246400 2321280 2380800 2385624 2418000 2485025 2496000 2579200 2584426 2678400 2683827 2720250 2785536 2808000 2901600 2976000 2982030 2995200 3081431 3095040 3180832 3224000 3348000 3456000 3481920 3571200 3578436 3627000 3714048 3744000 3868800 3876639 3968000 3976040 4285440 4352400 4464000 4473045 4492800 4642560 4771248 4836000 4970050 4992000 5158400 5168852 5356800 5367654 5440500 5571072 5616000 5803200 5952000 5964060 6162862 6190080 6361664 6448000 6461065 6696000 6963840 7142400 7156872 7254000 7455075 7488000 7737600 7753278 7952080 8704800 8928000 8946090 8985600 9244293 9285120 9542496 9672000 9940100 10316800 10337704 10713600 10735308 10881000 11142144 11232000 11606400 11629917 11904000 11928120 12325724 12425125 12723328 12896000 12922130 13392000 13419135 13927680 14313744 14508000 14910150 14976000 15407155 15475200 15506556 15904160 17409600 17856000 17892180 18488586 18570240 19084992 19344000 19383195 19880200 20675408 21427200 21470616 21762000 22365225 22464000 23212800 23259834 23856240 24651448 24850250 25446656 25792000 25844260 26784000 26838270 27732879 27855360 28627488 29016000 29820300 30814310 30950400 31013112 31808320 32305325 34819200 34889751 35712000 35784360 36977172 37275375 38169984 38688000 38766390 39760400 40058603 41350816 42941232 43524000 44730450 44928000 46221465 46425600 46519668 47712480 49302896 49700500 50893312 51584000 51688520 53568000 53676540 55465758 55710720 57254976 58032000 58149585 59640600 61628620 62026224 63616640 64610650 67095675 69638400 69779502 71568720 73954344 74550750 76339968 77035775 77376000 77532780 79520800 80117206 82701632 83198637 85882464 87048000 89460900 92442930 92851200 93039336 95424960 96915975 98605792 99401000 101786624 103377040 107136000 107353080 110931516 111826125 114509952 116064000 116299170 119281200 120175809 123257240 124052448 127233280 129221300 134191350 138664395 139276800 139559004 143137440 147908688 149101500 152679936 154071550 154752000 155065560 159041600 160234412 161526625 165403264 166397274 171764928 174096000 174448755 178921800 184885860 186078672 190849920 193831950 197211584 198802000 200293015 206754080 214706160 221863032 223652250 229019904 231107325 232128000 232598340 238562400 240351618 246514480 248104896 254466560 258442600 268382700 277328790 278553600 279118008 286274880 290747925 295817376 298203000 305359872 308143100 310131120 318083200 320468824 323053250 330806528 332794548 335478375 343529856 348192000 348897510 357843600 360527427 369771720 372157344 381699840 385178875 387663900 394423168 397604000 400586030 413508160 415993185 429412320 443726064 447304500 458039808 462214650 464256000 465196680 477124800 480703236 484579875 493028960 496209792 508933120 516885200 536765400 554657580 558236016 572549760 581495850 591634752 596406000 600879045 616286200 620262240 636166400 640937648 646106500 661613056 665589096 670956750 687059712 693321975 696384000 697795020 715687200 721054854 739543440 744314688 763399680 770357750 775327800 788846336 795208000 801172060 827016320 831986370 858824640 872243775 887452128 894609000 916079616 924429300 930393360 954249600 961406472 969159750 986057920 992419584 1001465075 1033770400 1073530800 1081582281 1109315160 1116472032 1145099520 1155536625 1162991700 1183269504 1192812000 1201758090 1232572400 1240524480 1272332800 1281875296 1292213000 1323226112 1331178192 1341913500 1374119424 1386643950 1392768000 1395590040 1431374400 1442109708 1453739625 1479086880 1488629376 1526799360 1540715500 1550655600 1577692672 1590416000 1602344120 1654032640 1663972740 1717649280 1744487550 1774904256 1789218000 1802637135 1848858600 1860786720 1908499200 1922812944 1938319500 1972115840 1984839168 2002930150 2067540800 2079965925 2147061600 2163164562 2218630320 2232944064 2290199040 2311073250 2325983400 2366539008 2385624000 2403516180 2465144800 2481048960 2544665600 2563750592 2584426000 2662356384 2683827000 2748238848 2773287900 2791180080 2862748800 2884219416 2907479250 2958173760 2977258752 3004395225 3081431000 3101311200 3155385344 3180832000 3204688240 3308065280 3327945480 3435298560 3466609875 3488975100 3549808512 3578436000 3605274270 3697717200 3721573440 3816998400 3845625888 3876639000 3944231680 3969678336 4005860300 4135081600 4159931850 4294123200 4326329124 4361218875 4437260640 4465888128 4580398080 4622146500 4651966800 4733078016 4771248000 4807032360 4930289600 4962097920 5007325375 5127501184 5168852000 5324712768 5367654000 5407911405 5546575800 5582360160 5725497600 5768438832 5814958500 5916347520 5954517504 6008790450 6162862000 6202622400 6361664000 6409376480 6616130560 6655890960 6870597120 6933219750 6977950200 7099617024 7156872000 7210548540 7395434400 7443146880 7633996800 7691251776 7753278000 7888463360 8011720600 8270163200 8319863700 8588246400 8652658248 8722437750 8874521280 8931776256 9013185675 9244293000 9303933600 9466156032 9542496000 9614064720 9860579200 9924195840 10014650750 10255002368 10337704000 10399829625 10649425536 10735308000 10815822810 11093151600 11164720320 11450995200 11536877664 11629917000 11832695040 11909035008 12017580900 12325724000 12405244800 12723328000 12818752960 13311781920 13741194240 13866439500 13955900400 14199234048 14313744000 14421097080 14790868800 14886293760 15021976125 15382503552 15506556000 15776926720 16023441200 16540326400 16639727400 17176492800 17305316496 17444875500 17749042560 17863552512 18026371350 18488586000 18607867200 19084992000 19228129440 19721158400 19848391680 20029301500 20510004736 20675408000 20799659250 21298851072 21470616000 21631645620 22186303200 22329440640 22901990400 23073755328 23259834000 23665390080 24035161800 24651448000 24810489600 25637505920 26623563840 27039557025 27732879000 27911800800 28398468096 28627488000 28842194160 29581737600 29772587520 30043952250 30765007104 31013112000 32046882400 33080652800 33279454800 34352985600 34610632992 34889751000 35498085120 35727105024 36052742700 36977172000 37215734400 38169984000 38456258880 39442316800 40058603000 41020009472 41350816000 41599318500 42597702144 42941232000 43263291240 44372606400 44658881280 45065928375 46147510656 46519668000 47330780160 48070323600 49302896000 49620979200 51275011840 53247127680 54079114050 55465758000 55823601600 57254976000 57684388320 59163475200 59545175040 60087904500 61530014208 62026224000 64093764800 66558909600 68705971200 69221265984 69779502000 70996170240 72105485400 73954344000 74431468800 76912517760 78884633600 80117206000 82701632000 83198637000 85195404288 85882464000 86526582480 88745212800 89317762560 90131856750 92295021312 93039336000 96140647200 98605792000 99241958400 102550023680 106494255360 108158228100 110931516000 111647203200 114509952000 115368776640 118326950400 120175809000 123060028416 124052448000 128187529600 133117819200 135197785125 138442531968 139559004000 141992340480 144210970800 147908688000 148862937600 153825035520 160234412000 165403264000 166397274000 171764928000 173053164960 177490425600 178635525120 180263713500 184590042624 186078672000 192281294400 197211584000 205100047360 212988510720 216316456200 221863032000 223294406400 230737553280 236653900800 240351618000 248104896000 256375059200 266235638400 270395570250 276885063936 279118008000 288421941600 295817376000 297725875200 307650071040 320468824000 332794548000 343529856000 346106329920 354980851200 360527427000 369180085248 372157344000 384562588800 394423168000 425977021440 432632912400 443726064000 446588812800 461475106560 480703236000 496209792000 512750118400 532471276800 540791140500 553770127872 558236016000 576843883200 591634752000 615300142080 640937648000 665589096000 692212659840 709961702400 721054854000 744314688000 769125177600 865265824800 887452128000 893177625600 922950213120 961406472000 1025500236800 1064942553600 1081582281000 1107540255744 1116472032000 1153687766400 1183269504000 1281875296000 1331178192000 1384425319680 1442109708000 1488629376000 1538250355200 1730531649600 1774904256000 1845900426240 1922812944000 2129885107200 2163164562000 2232944064000 2307375532800 2563750592000 2662356384000 2768850639360 2884219416000 3076500710400 3461063299200 3549808512000 3845625888000 4326329124000 4465888128000 4614751065600 5127501184000 5324712768000 5537701278720 5768438832000 6922126598400 7691251776000 8652658248000 9229502131200 10649425536000 11536877664000 13844253196800 15382503552000 17305316496000 23073755328000 27688506393600 34610632992000 46147510656000 69221265984000 138442531968000
- Sum of all divisors σ(n): 568820931194880
- Sum of proper divisors (its aliquot sum) s(n): 430378399226880
- 138442531968000 is an abundant number, because the sum of its proper divisors (430378399226880) is greater than itself. Its abundance is 291935867258880
Bases of 138442531968000
- Binary: 111110111101001101010011111000010010100000000002
- Hexadecimal: 0x7DE9A9F09400
- Base-36: 1D2NMD1XC0
Squares and roots of 138442531968000
- 138442531968000 squared (1384425319680002) is 19166334657710701953024000000
- 138442531968000 cubed (1384425319680003) is 2653435898559500192827245154271232000000000
-
The
square root of 138442531968000 is 11766160.4598951479 -
The
cube root of 138442531968000 is 51731.6715063537
Scales and comparisons
How big is 138442531968000?- 138,442,531,968,000 seconds is equal to 4,402,044 years, 14 weeks, 6 days.
-
To count from 1 to 138,442,531,968,000 would take you about eleven million, five thousand, one hundred ten 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 138442531968000 cubic inches would be around 4311 feet tall.
Recreational maths with 138442531968000
- 138442531968000 backwards is 000869135244831
- 138442531968000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138442531968000's digits is 54
- More coming soon!
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Numbermatics. (2024). Number 138442531968000 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138442531968000/
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The information we have on file for 138442531968000 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 138442531968000, math, Factors of 138442531968000, curriculum, school, college, exams, university, Prime factorization of 138442531968000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred forty-two billion, five hundred thirty-one million, nine hundred sixty-eight thousand.