138997667328000
138,997,667,328,000 is an even composite number composed of six prime numbers multiplied together.
138997667328000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred sixty-four divisors.
Prime factorization of 138997667328000:
212 × 3 × 53 × 13 × 413 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 41 × 41 × 41 × 101)See below for interesting mathematical facts about the number 138997667328000 from the Numbermatics database.
Names of 138997667328000
- Cardinal: 138997667328000 can be written as One hundred thirty-eight trillion, nine hundred ninety-seven billion, six hundred sixty-seven million, three hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38997667328 × 1014
Factors of 138997667328000
Divisors of 138997667328000
- Number of divisors d(n): 1664
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 41 48 50 52 60 64 65 75 78 80 82 96 100 101 104 120 123 125 128 130 150 156 160 164 192 195 200 202 205 208 240 246 250 256 260 300 303 312 320 325 328 375 384 390 400 404 410 416 480 492 500 505 512 520 533 600 606 615 624 640 650 656 750 768 780 800 808 820 832 960 975 984 1000 1010 1024 1025 1040 1066 1200 1212 1230 1248 1280 1300 1312 1313 1500 1515 1536 1560 1599 1600 1616 1625 1640 1664 1681 1920 1950 1968 2000 2020 2048 2050 2080 2132 2400 2424 2460 2496 2525 2560 2600 2624 2626 2665 3000 3030 3072 3075 3120 3198 3200 3232 3250 3280 3328 3362 3840 3900 3936 3939 4000 4040 4096 4100 4141 4160 4264 4800 4848 4875 4920 4992 5043 5050 5120 5125 5200 5248 5252 5330 6000 6060 6144 6150 6240 6396 6400 6464 6500 6560 6565 6656 6724 7575 7680 7800 7872 7878 7995 8000 8080 8200 8282 8320 8405 8528 9600 9696 9750 9840 9984 10086 10100 10240 10250 10400 10496 10504 10660 12000 12120 12288 12300 12423 12480 12625 12792 12800 12928 13000 13120 13130 13312 13325 13448 15150 15360 15375 15600 15744 15756 15990 16000 16160 16400 16564 16640 16810 17056 19200 19392 19500 19680 19695 19968 20172 20200 20480 20500 20705 20800 20992 21008 21320 21853 24000 24240 24600 24846 24960 25215 25250 25584 25600 25856 26000 26240 26260 26624 26650 26896 30300 30720 30750 31200 31488 31512 31980 32000 32320 32800 32825 33128 33280 33620 34112 37875 38400 38784 39000 39360 39390 39936 39975 40344 40400 41000 41410 41600 41984 42016 42025 42640 43706 48000 48480 49200 49692 49920 50430 50500 51168 51200 51712 52000 52480 52520 53248 53300 53792 53833 60600 61440 61500 62115 62400 62976 63024 63960 64000 64640 65559 65600 65650 66256 66560 66625 67240 68224 68921 75750 76800 77568 78000 78720 78780 79872 79950 80688 80800 82000 82820 83200 83968 84032 84050 85280 87412 96000 96960 98400 98475 99384 99840 100860 101000 102336 102400 103424 103525 104000 104960 105040 106600 107584 107666 109265 121200 123000 124230 124800 125952 126048 126075 127920 128000 129280 131118 131200 131300 132512 133120 133250 134480 136448 137842 151500 153600 155136 156000 157440 157560 159744 159900 161376 161499 161600 164000 164125 165640 166400 167936 168064 168100 169781 170560 174824 192000 193920 196800 196950 198768 199680 199875 201720 202000 204672 206763 206848 207050 208000 209920 210080 210125 213200 215168 215332 218530 242400 246000 248460 249600 251904 252096 252150 255840 256000 258560 262236 262400 262600 265024 266240 266500 268960 269165 272896 275684 303000 307200 310272 310575 312000 314880 315120 319800 322752 322998 323200 327795 328000 328250 331280 332800 336128 336200 339562 341120 344605 349648 384000 387840 393600 393900 397536 399360 399750 403440 404000 409344 413526 413696 414100 416000 419840 420160 420250 426400 430336 430664 437060 484800 492000 492375 496920 499200 503808 504192 504300 509343 511680 512000 517120 517625 524472 524800 525200 530048 533000 537920 538330 545792 546325 551368 606000 620544 621150 624000 629760 630240 630375 639600 645504 645996 646400 655590 656000 656500 662560 665600 672256 672400 679124 682240 689210 699296 768000 775680 787200 787800 795072 798720 799500 806880 807495 808000 818688 827052 828200 832000 839680 840320 840500 848905 852800 860672 861328 874120 895973 969600 984000 984750 993840 998400 1008384 1008600 1018686 1023360 1033815 1034240 1035250 1048944 1049600 1050400 1060096 1066000 1075840 1076660 1091584 1092650 1102736 1212000 1241088 1242300 1248000 1259520 1260480 1260750 1279200 1291008 1291992 1292800 1311180 1312000 1313000 1325120 1331200 1344512 1344800 1345825 1358248 1364480 1378420 1398592 1536000 1551360 1552875 1574400 1575600 1590144 1599000 1613760 1614990 1616000 1637376 1638975 1654104 1656400 1664000 1680640 1681000 1697810 1705600 1721344 1722656 1723025 1748240 1791946 1939200 1968000 1969500 1987680 1996800 2016768 2017200 2037372 2046720 2067630 2068480 2070500 2097888 2099200 2100800 2120192 2132000 2151680 2153320 2183168 2185300 2205472 2207153 2424000 2484600 2496000 2519040 2520960 2521500 2546715 2558400 2582016 2583984 2585600 2622360 2624000 2626000 2650240 2687919 2689024 2689600 2691650 2716496 2728960 2731625 2756840 2797184 3102720 3105750 3148800 3151200 3180288 3198000 3227520 3229980 3232000 3274752 3277950 3308208 3312800 3328000 3361280 3362000 3395620 3411200 3442688 3445312 3446050 3496480 3583892 3878400 3936000 3939000 3975360 3993600 4033536 4034400 4037475 4074744 4093440 4135260 4141000 4195776 4198400 4201600 4240384 4244525 4264000 4303360 4306640 4370600 4410944 4414306 4479865 4848000 4969200 4992000 5041920 5043000 5093430 5116800 5164032 5167968 5169075 5171200 5244720 5248000 5252000 5300480 5375838 5378048 5379200 5383300 5432992 5457920 5463250 5513680 5594368 6205440 6211500 6297600 6302400 6360576 6396000 6455040 6459960 6464000 6549504 6555900 6616416 6621459 6625600 6656000 6722560 6724000 6729125 6791240 6822400 6885376 6890624 6892100 6961021 6992960 7167784 7756800 7872000 7878000 7950720 8067072 8068800 8074950 8149488 8186880 8194875 8270520 8282000 8391552 8403200 8480768 8489050 8528000 8606720 8613280 8615125 8741200 8821888 8828612 8959730 9696000 9938400 9984000 10083840 10086000 10186860 10233600 10328064 10335936 10338150 10342400 10489440 10496000 10504000 10600960 10751676 10758400 10766600 10865984 10915840 10926500 11027360 11035765 11188736 12423000 12595200 12604800 12721152 12733575 12792000 12910080 12919920 12928000 13111800 13232832 13242918 13251200 13439595 13445120 13448000 13458250 13582480 13644800 13781248 13784200 13922042 13985920 14335568 15513600 15744000 15756000 15901440 16134144 16137600 16149900 16298976 16373760 16389750 16541040 16564000 16783104 16806400 16961536 16978100 17056000 17213440 17226560 17230250 17482400 17643776 17657224 17919460 19392000 19876800 19968000 20167680 20172000 20187375 20373720 20467200 20656128 20671872 20676300 20883063 20978880 20992000 21008000 21201920 21222625 21503352 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66164160 66214590 66256000 67132416 67197975 67225600 67912400 68224000 68906240 68921000 69610210 69929600 70575104 70628896 71677840 77568000 79507200 80670720 80688000 80749500 81494880 81868800 82687488 82705200 83532252 83915520 84032000 84807680 84890500 86013408 86067200 86132800 86927872 87412000 88218880 88286120 89509888 89597300 90493273 99384000 100838400 101868600 102336000 103280640 103359360 103381500 104415315 104894400 105862656 105943344 106009600 107516760 107584000 107666000 108659840 110249984 110273600 110357650 111376336 111887360 111996625 114684544 126048000 127211520 127335750 129100800 129199200 130391808 131118000 132328320 132429180 132512000 134264832 134395950 134451200 135824800 136448000 137812480 137842000 139220420 139859200 141150208 141257792 143355680 155136000 159014400 161376000 161499000 162989760 163737600 165374976 165410400 165536475 167064504 167831040 168064000 169781000 172026816 172134400 172265600 173855744 174025525 174824000 176437760 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530048000 537583800 542959638 543299200 551249920 551368000 551788250 556881680 559436800 565031168 573422720 636057600 645504000 645996000 651959040 661499904 661641600 662145900 668258016 671324160 671979750 672256000 679124000 688107264 689062400 695422976 696102100 699296000 705751040 706288960 716778400 723946184 795072000 814948800 818688000 826874880 827052000 827682375 835322520 839155200 846901248 847546752 860134080 860672000 861328000 869278720 870127625 882188800 882861200 891010688 895973000 904932730 917476352 1008384000 1018686000 1033593600 1043134464 1044153150 1048944000 1058626560 1059433440 1060096000 1075167600 1085919276 1086598400 1102499840 1102736000 1103576500 1113763360 1118873600 1130062336 1146845440 1272115200 1291008000 1291992000 1303918080 1323283200 1324291800 1336516032 1342648320 1343959500 1357399095 1358248000 1376214528 1378124800 1392204200 1398592000 1411502080 1412577920 1433556800 1447892368 1590144000 1629897600 1653749760 1654104000 1655364750 1670645040 1678310400 1695093504 1720268160 1722656000 1738557440 1740255250 1764377600 1765722400 1782021376 1791946000 1809865460 1834952704 2016768000 2037372000 2067187200 2086268928 2088306300 2097888000 2117253120 2118866880 2120192000 2150335200 2171838552 2173196800 2205472000 2207153000 2227526720 2237747200 2260124672 2262331825 2293690880 2582016000 2583984000 2607836160 2610382875 2646566400 2648583600 2673032064 2687919000 2714798190 2716496000 2752429056 2756249600 2784408400 2797184000 2825155840 2867113600 2895784736 3180288000 3259795200 3307499520 3308208000 3310729500 3341290080 3356620800 3390187008 3440536320 3445312000 3477114880 3480510500 3528755200 3531444800 3564042752 3583892000 3619730920 3669905408 4074744000 4134374400 4176612600 4195776000 4234506240 4237733760 4300670400 4343677104 4346393600 4410944000 4414306000 4455053440 4520249344 4524663650 4587381760 5167968000 5215672320 5220765750 5293132800 5297167200 5346064128 5375838000 5429596380 5432992000 5504858112 5512499200 5568816800 5594368000 5650311680 5734227200 5791569472 6360576000 6519590400 6616416000 6621459000 6682580160 6713241600 6780374016 6786995475 6881072640 6890624000 6961021000 7057510400 7062889600 7128085504 7167784000 7239461840 8149488000 8268748800 8353225200 8391552000 8475467520 8601340800 8687354208 8692787200 8821888000 8828612000 8910106880 9040498688 9049327300 9174763520 10335936000 10431344640 10441531500 10586265600 10594334400 10692128256 10751676000 10859192760 10865984000 11009716224 11137633600 11188736000 11300623360 11311659125 11468454400 11583138944 13039180800 13232832000 13242918000 13365160320 13560748032 13573990950 13762145280 13781248000 13922042000 14125779200 14256171008 14335568000 14478923680 16298976000 16537497600 16706450400 16783104000 16950935040 17202681600 17374708416 17385574400 17643776000 17657224000 17820213760 18098654600 18349527040 20671872000 20883063000 21172531200 21188668800 21384256512 21503352000 21718385520 21731968000 22275267200 22601246720 22623318250 22936908800 23166277888 26078361600 26465664000 26485836000 26730320640 27121496064 27147981900 27524290560 27562496000 27844084000 28251558400 28512342016 28671136000 28957847360 32597952000 33412900800 33566208000 33901870080 33934977375 34405363200 34749416832 35287552000 35314448000 35640427520 36197309200 41343744000 41766126000 42377337600 42768513024 43006704000 43436771040 43463936000 44550534400 45202493440 45246636500 45873817600 46332555776 52156723200 52931328000 52971672000 53460641280 54295963800 55048581120 55688168000 56503116800 57342272000 57915694720 65195904000 66825801600 67803740160 67869954750 68810726400 69498833664 70628896000 71280855040 72394618400 82687488000 83532252000 84754675200 85537026048 86013408000 86873542080 86927872000 89101068800 90493273000 91747635200 92665111552 105862656000 105943344000 106921282560 108591927600 111376336000 113006233600 114684544000 115831389440 130391808000 133651603200 135607480320 135739909500 137621452800 138997667328 141257792000 142561710080 144789236800 167064504000 169509350400 172026816000 173747084160 178202137600 180986546000 185330223104 211886688000 213842565120 217183855200 222752672000 226012467200 229369088000 231662778880 260783616000 267303206400 271479819000 275242905600 277995334656 282515584000 289578473600 334129008000 339018700800 344053632000 347494168320 356404275200 361973092000 370660446208 423773376000 427685130240 434367710400 445505344000 458738176000 463325557760 534606412800 542959638000 555990669312 565031168000 579156947200 668258016000 678037401600 688107264000 694988336640 712808550400 723946184000 847546752000 868735420800 891010688000 926651115520 1069212825600 1085919276000 1111981338624 1130062336000 1158313894400 1336516032000 1376214528000 1389976673280 1447892368000 1695093504000 1737470841600 1782021376000 1853302231040 2138425651200 2171838552000 2316627788800 2673032064000 2779953346560 2895784736000 3390187008000 3474941683200 3564042752000 4343677104000 4633255577600 5346064128000 5559906693120 5791569472000 6949883366400 8687354208000 9266511155200 10692128256000 11583138944000 13899766732800 17374708416000 23166277888000 27799533465600 34749416832000 46332555776000 69498833664000 138997667328000
- Sum of all divisors σ(n): 515614361004288
- Sum of proper divisors (its aliquot sum) s(n): 376616693676288
- 138997667328000 is an abundant number, because the sum of its proper divisors (376616693676288) is greater than itself. Its abundance is 237619026348288
Bases of 138997667328000
- Binary: 111111001101010111010101001010111110000000000002
- Hexadecimal: 0x7E6AEA95F000
- Base-36: 1D9QNABAIO
Squares and roots of 138997667328000
- 138997667328000 squared (1389976673280002) is 19320351522625358659584000000
- 138997667328000 cubed (1389976673280003) is 2685483793601897868141540830871552000000000
-
The
square root of 138997667328000 is 11789727.1948081987 -
The
cube root of 138997667328000 is 51800.7249005357
Scales and comparisons
How big is 138997667328000?- 138,997,667,328,000 seconds is equal to 4,419,695 years, 45 weeks, 2 days, 18 hours, 40 minutes.
-
To count from 1 to 138,997,667,328,000 would take you about eleven million, forty-nine thousand, two hundred thirty-nine 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 138997667328000 cubic inches would be around 4316.7 feet tall.
Recreational maths with 138997667328000
- 138997667328000 backwards is 000823766799831
- The number of decimal digits it has is: 15
- The sum of 138997667328000's digits is 69
- More coming soon!
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The information we have on file for 138997667328000 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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