138329397696000
138,329,397,696,000 is an even composite number composed of seven prime numbers multiplied together.
138329397696000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 138329397696000:
29 × 3 × 53 × 7 × 71 × 181 × 8009
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 71 × 181 × 8009)See below for interesting mathematical facts about the number 138329397696000 from the Numbermatics database.
Names of 138329397696000
- Cardinal: 138329397696000 can be written as One hundred thirty-eight trillion, three hundred twenty-nine billion, three hundred ninety-seven million, six hundred ninety-six thousand.
Scientific notation
- Scientific notation: 1.38329397696 × 1014
Factors of 138329397696000
Divisors of 138329397696000
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 71 75 80 84 96 100 105 112 120 125 128 140 142 150 160 168 175 181 192 200 210 213 224 240 250 256 280 284 300 320 336 350 355 362 375 384 400 420 426 448 480 497 500 512 525 543 560 568 600 640 672 700 710 724 750 768 800 840 852 875 896 905 960 994 1000 1050 1065 1086 1120 1136 1200 1267 1280 1344 1400 1420 1448 1491 1500 1536 1600 1680 1704 1750 1775 1792 1810 1920 1988 2000 2100 2130 2172 2240 2272 2400 2485 2534 2560 2625 2688 2715 2800 2840 2896 2982 3000 3200 3360 3408 3500 3550 3584 3620 3801 3840 3976 4000 4200 4260 4344 4480 4525 4544 4800 4970 5068 5250 5325 5376 5430 5600 5680 5792 5964 6000 6335 6400 6720 6816 7000 7100 7240 7455 7602 7680 7952 8000 8009 8400 8520 8688 8875 8960 9050 9088 9600 9940 10136 10500 10650 10752 10860 11200 11360 11584 11928 12000 12425 12670 12800 12851 13440 13575 13632 14000 14200 14480 14910 15204 15904 16000 16018 16800 17040 17376 17750 17920 18100 18176 19005 19200 19880 20272 21000 21300 21720 22400 22625 22720 23168 23856 24000 24027 24850 25340 25702 26625 26880 27150 27264 28000 28400 28960 29820 30408 31675 31808 32000 32036 33600 34080 34752 35500 36200 36352 37275 38010 38400 38553 39760 40045 40544 42000 42600 43440 44800 45250 45440 46336 47712 48000 48054 49700 50680 51404 53250 53760 54300 54528 56000 56063 56800 57920 59640 60816 62125 63350 63616 64000 64072 64255 67200 67875 68160 69504 71000 72400 74550 76020 77106 79520 80090 81088 84000 85200 86880 89600 89957 90500 90880 92672 95025 95424 96000 96108 99400 101360 102808 106500 108600 109056 112000 112126 113600 115840 119280 120135 121632 124250 126700 127232 128144 128510 134400 135750 136320 139008 142000 144800 149100 152040 154212 158375 159040 160180 162176 168000 168189 170400 173760 179914 181000 181760 186375 190050 190848 192000 192216 192765 198800 200225 202720 205616 213000 217200 224000 224252 227200 231680 238560 240270 243264 248500 253400 254464 256288 257020 268800 269871 271500 272640 278016 280315 284000 289600 298200 304080 308424 316750 318080 320360 321275 324352 336000 336378 340800 347520 359828 362000 372750 380100 381696 384432 385530 397600 400450 405440 411232 426000 434400 448000 448504 449785 454400 463360 475125 477120 480540 486528 497000 506800 512576 514040 539742 543000 545280 560630 568000 568639 579200 596400 600675 608160 616848 633500 636160 640720 642550 648704 672000 672756 681600 695040 719656 724000 745500 760200 763392 768864 771060 795200 800900 810880 822464 840945 852000 868800 897008 899570 908800 950250 954240 961080 963825 973056 994000 1001125 1013600 1025152 1028080 1079484 1086000 1121260 1136000 1137278 1158400 1192800 1201350 1216320 1233696 1267000 1272320 1281440 1285100 1344000 1345512 1349355 1363200 1390080 1401575 1439312 1448000 1449629 1491000 1520400 1537728 1542120 1590400 1601800 1606375 1621760 1644928 1681890 1704000 1705917 1737600 1794016 1799140 1900500 1908480 1922160 1927650 1946112 1988000 2002250 2027200 2050304 2056160 2158968 2172000 2242520 2248925 2272000 2274556 2316800 2385600 2402700 2432640 2467392 2534000 2562880 2570200 2691024 2698710 2726400 2803150 2843195 2878624 2896000 2899258 2982000 3003375 3040800 3075456 3084240 3180800 3203600 3212750 3243520 3289856 3363780 3408000 3411834 3475200 3588032 3598280 3801000 3816960 3844320 3855300 3976000 3980473 4004500 4054400 4100608 4112320 4204725 4317936 4344000 4348887 4485040 4497850 4544000 4549112 4771200 4805400 4819125 4865280 4934784 5068000 5125760 5140400 5382048 5397420 5606300 5686390 5757248 5792000 5798516 5964000 6006750 6081600 6150912 6168480 6361600 6407200 6425500 6579712 6727560 6746775 6816000 6823668 6950400 7007875 7176064 7196560 7248145 7602000 7688640 7710600 7952000 7960946 8009000 8108800 8224640 8409450 8529585 8635872 8688000 8697774 8970080 8995700 9098224 9542400 9610800 9638250 9730560 9869568 10136000 10147403 10251520 10280800 10764096 10794840 11212600 11244625 11372780 11514496 11584000 11597032 11928000 11941419 12013500 12163200 12301824 12336960 12814400 12851000 13455120 13493550 13632000 13647336 14015750 14215975 14352128 14393120 14496290 15204000 15377280 15421200 15904000 15921892 16018000 16217600 16449280 16818900 17059170 17271744 17376000 17395548 17940160 17991400 18196448 19084800 19221600 19276500 19739136 19902365 20272000 20294806 20503040 20561600 21023625 21528192 21589680 21744435 22425200 22489250 22745560 23028992 23194064 23856000 23882838 24027000 24326400 24673920 25628800 25702000 26910240 26987100 27294672 28031500 28431950 28704256 28786240 28992580 30408000 30442209 30754560 30842400 31808000 31843784 32036000 32898560 33637800 33733875 34118340 34543488 34752000 34791096 35880320 35982800 36240725 36392896 38443200 38553000 39804730 40544000 40589612 41123200 42047250 42647925 43056384 43179360 43488870 44850400 44978500 45491120 46057984 46388128 47712000 47765676 48054000 48652800 49347840 50737015 51257600 51404000 53820480 53974200 54589344 56063000 56863900 57572480 57985160 59707095 60816000 60884418 61509120 61684800 63687568 64072000 67275600 67467750 68236680 69086976 69582192 71079875 71760640 71965600 72481450 72785792 76886400 77106000 79609460 81088000 81179224 82246400 84094500 85295850 86112768 86358720 86977740 89700800 89957000 90982240 92776256 95424000 95531352 96108000 98695680 99511825 101474030 102515200 102808000 102923659 107640960 107948400 108722175 109178688 112126000 113727800 115144960 115970320 119414190 121632000 121768836 123369600 127375136 128144000 134551200 134935500 136473360 138173952 139164384 142159750 143521280 143931200 144962900 145571584 152211045 153772800 154212000 159218920 162358448 164492800 168189000 170591700 172717440 173955480 179401600 179914000 181203625 181964480 185552512 191062704 192216000 199023650 202948060 205616000 205847318 213239625 215281920 215896800 217444350 218357376 224252000 227455600 230289920 231940640 238828380 243264000 243537672 246739200 253685075 254750272 256288000 269102400 269871000 272946720 278328768 284319500 287862400 289925800 291143168 298535475 304422090 307545600 308424000 308770977 318437840 324716896 336378000 341183400 345434880 347910960 358803200 359828000 362407250 363928960 371105024 382125408 384432000 398047300 405896120 411232000 411694636 426479250 430563840 431793600 434888700 436714752 448504000 454911200 463881280 477656760 487075344 493478400 497559125 507370150 509500544 512576000 514618295 538204800 539742000 543610875 545893440 556657536 568639000 575724800 579851600 597070950 608844180 616848000 617541954 636875680 649433792 672756000 682366800 690869760 695821920 717606400 719656000 720465613 724814500 727857920 742210048 761055225 764250816 768864000 796094600 811792240 822464000 823389272 852958500 863587200 869777400 873429504 897008000 909822400 927762560 955313520 974150688 995118250 1014740300 1019001088 1029236590 1076409600 1079484000 1087221750 1091786880 1113315072 1137278000 1151449600 1159703200 1194141900 1217688360 1233696000 1235083908 1268425375 1273751360 1298867584 1345512000 1364733600 1391643840 1439312000 1440931226 1449629000 1455715840 1492677375 1522110450 1528501632 1537728000 1543854885 1592189200 1623584480 1646778544 1705917000 1727174400 1739554800 1794016000 1819644800 1855525120 1910627040 1948301376 1990236500 2029480600 2038002176 2058473180 2152819200 2158968000 2161396839 2174443500 2183573760 2226630144 2274556000 2319406400 2388283800 2435376720 2467392000 2470167816 2536850750 2547502720 2573091475 2597735168 2691024000 2729467200 2783287680 2878624000 2881862452 2899258000 2985354750 3044220900 3057003264 3087709770 3184378400 3247168960 3293557088 3411834000 3454348800 3479109600 3588032000 3602328065 3639289600 3711050240 3805276125 3821254080 3896602752 3980473000 4058961200 4116946360 4317936000 4322793678 4348887000 4367147520 4549112000 4638812800 4776567600 4870753440 4940335632 5073701500 5095005440 5146182950 5195470336 5382048000 5458934400 5566575360 5757248000 5763724904 5798516000 5970709500 6088441800 6114006528 6175419540 6368756800 6494337920 6587114176 6823668000 6958219200 7204656130 7278579200 7610552250 7642508160 7719274425 7793205504 7960946000 8117922400 8233892720 8635872000 8645587356 8697774000 9098224000 9277625600 9553135200 9741506880 9880671264 10147403000 10190010880 10292365900 10764096000 10806984195 10917868800 11133150720 11527449808 11597032000 11941419000 12176883600 12350839080 12737513600 12865457375 12988675840 13174228352 13647336000 13916438400 14409312260 15221104500 15285016320 15438548850 15586411008 15921892000 16235844800 16467785440 17271744000 17291174712 17395548000 18011640325 18196448000 18555251200 19106270400 19483013760 19761342528 20294806000 20584731800 21613968390 21835737600 23054899616 23194064000 23882838000 24353767200 24701678160 25475027200 25730914750 25977351680 26348456704 27294672000 27832876800 28818624520 30442209000 30570032640 30877097700 31843784000 32471689600 32935570880 34582349424 34791096000 36023280650 36392896000 38212540800 38596372125 38966027520 39522685056 40589612000 41169463600 43227936780 46109799232 46388128000 47765676000 48707534400 49403356320 50950054400 51461829500 52696913408 54034920975 54589344000 55665753600 57637249040 60884418000 61754195400 63687568000 64943379200 65871141760 69164698848 69582192000 72046561300 76425081600 77192744250 77932055040 79045370112 81179224000 82338927200 86455873560 90058201625 92219598464 92776256000 95531352000 97415068800 98806712640 102923659000 108069841950 109178688000 115274498080 121768836000 123508390800 127375136000 129886758400 131742283520 138329397696 139164384000 144093122600 152850163200 154385488500 158090740224 162358448000 164677854400 172911747120 180116403250 184439196928 191062704000 194830137600 197613425280 205847318000 216139683900 230548996160 243537672000 247016781600 254750272000 263484567040 270174604875 276658795392 278328768000 288186245200 308770977000 324716896000 329355708800 345823494240 360232806500 368878393856 382125408000 389660275200 395226850560 411694636000 432279367800 461097992320 487075344000 494033563200 540349209750 553317590784 576372490400 617541954000 649433792000 658711417600 691646988480 720465613000 764250816000 790453701120 823389272000 864558735600 922195984640 974150688000 988067126400 1080698419500 1106635181568 1152744980800 1235083908000 1317422835200 1383293976960 1440931226000 1646778544000 1729117471200 1844391969280 1948301376000 1976134252800 2161396839000 2305489961600 2470167816000 2766587953920 2881862452000 3293557088000 3458234942400 3952268505600 4322793678000 4610979923200 4940335632000 5533175907840 5763724904000 6587114176000 6916469884800 8645587356000 9221959846400 9880671264000 11527449808000 13832939769600 17291174712000 19761342528000 23054899616000 27665879539200 34582349424000 46109799232000 69164698848000 138329397696000
- Sum of all divisors σ(n): 536026932080640
- Sum of proper divisors (its aliquot sum) s(n): 397697534384640
- 138329397696000 is an abundant number, because the sum of its proper divisors (397697534384640) is greater than itself. Its abundance is 259368136688640
Bases of 138329397696000
- Binary: 111110111001111010100101001110010010110000000002
- Hexadecimal: 0x7DCF529C9600
- Base-36: 1D17NBTUDC
Squares and roots of 138329397696000
- 138329397696000 squared (1383293976960002) is 19135022266938130108416000000
- 138329397696000 cubed (1383293976960003) is 2646936105085100071993668460609536000000000
-
The
square root of 138329397696000 is 11761351.8651556377 -
The
cube root of 138329397696000 is 51717.5760789887
Scales and comparisons
How big is 138329397696000?- 138,329,397,696,000 seconds is equal to 4,398,446 years, 50 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 138,329,397,696,000 would take you about ten million, nine hundred ninety-six thousand, one hundred seventeen 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 138329397696000 cubic inches would be around 4309.8 feet tall.
Recreational maths with 138329397696000
- 138329397696000 backwards is 000696793923831
- The number of decimal digits it has is: 15
- The sum of 138329397696000's digits is 66
- 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 138329397696000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
APA style:
Numbermatics. (2024). Number 138329397696000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/138329397696000/
Chicago style:
Numbermatics. 2024. "Number 138329397696000 - Facts about the integer". https://numbermatics.com/n/138329397696000/
The information we have on file for 138329397696000 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 138329397696000, math, Factors of 138329397696000, curriculum, school, college, exams, university, Prime factorization of 138329397696000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred twenty-nine billion, three hundred ninety-seven million, six hundred ninety-six thousand.