138182044672000
138,182,044,672,000 is an even composite number composed of five prime numbers multiplied together.
138182044672000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred sixty-eight divisors.
Prime factorization of 138182044672000:
213 × 53 × 76 × 31 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 31 × 37)See below for interesting mathematical facts about the number 138182044672000 from the Numbermatics database.
Names of 138182044672000
- Cardinal: 138182044672000 can be written as One hundred thirty-eight trillion, one hundred eighty-two billion, forty-four million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.38182044672 × 1014
Factors of 138182044672000
Divisors of 138182044672000
- Number of divisors d(n): 1568
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 37 40 49 50 56 62 64 70 74 80 98 100 112 124 125 128 140 148 155 160 175 185 196 200 217 224 245 248 250 256 259 280 296 310 320 343 350 370 392 400 434 448 490 496 500 512 518 560 592 620 640 686 700 740 775 784 800 868 875 896 925 980 992 1000 1024 1036 1085 1120 1147 1184 1225 1240 1280 1295 1372 1400 1480 1519 1550 1568 1600 1715 1736 1750 1792 1813 1850 1960 1984 2000 2048 2072 2170 2240 2294 2368 2401 2450 2480 2560 2590 2744 2800 2960 3038 3100 3136 3200 3430 3472 3500 3584 3626 3700 3875 3920 3968 4000 4096 4144 4340 4480 4588 4625 4736 4802 4900 4960 5120 5180 5425 5488 5600 5735 5920 6076 6125 6200 6272 6400 6475 6860 6944 7000 7168 7252 7400 7595 7750 7840 7936 8000 8029 8192 8288 8575 8680 8960 9065 9176 9250 9472 9604 9800 9920 10240 10360 10633 10850 10976 11200 11470 11840 12005 12152 12250 12400 12544 12691 12800 12950 13720 13888 14000 14336 14504 14800 15190 15500 15680 15872 16000 16058 16576 16807 17150 17360 17920 18130 18352 18500 18944 19208 19600 19840 20480 20720 21266 21700 21952 22400 22940 23680 24010 24304 24500 24800 25088 25382 25600 25900 27125 27440 27776 28000 28672 28675 29008 29600 30380 31000 31360 31744 32000 32116 32375 33152 33614 34300 34720 35840 36260 36704 37000 37888 37975 38416 39200 39680 40145 40960 41440 42532 42875 43400 43904 44800 45325 45880 47360 48020 48608 49000 49600 50176 50764 51200 51800 53165 54250 54880 55552 56000 56203 57344 57350 58016 59200 60025 60760 62000 62720 63455 63488 64000 64232 64750 66304 67228 68600 69440 71680 72520 73408 74000 74431 75776 75950 76832 78400 79360 80290 82880 84035 85064 85750 86800 87808 88837 89600 90650 91760 94720 96040 97216 98000 99200 100352 101528 102400 103600 106330 108500 109760 111104 112000 112406 114700 116032 117649 118400 120050 121520 124000 125440 126910 126976 128000 128464 129500 132608 134456 137200 138880 143360 143375 145040 146816 148000 148862 151552 151900 153664 156800 158720 160580 165760 168070 170128 171500 173600 175616 177674 179200 181300 183520 189440 189875 192080 194432 196000 198400 200704 200725 203056 204800 207200 212660 217000 219520 222208 224000 224812 226625 229400 232064 235298 236800 240100 243040 248000 250880 253820 253952 256000 256928 259000 265216 265825 268912 274400 277760 281015 286720 286750 290080 293632 296000 297724 300125 303104 303800 307328 313600 317275 317440 321160 331520 336140 340256 343000 347200 351232 355348 358400 362600 367040 372155 378880 379750 384160 388864 392000 393421 396800 401408 401450 406112 414400 420175 425320 434000 439040 444185 444416 448000 449624 453250 458800 464128 470596 473600 480200 486080 496000 501760 507640 512000 513856 518000 521017 530432 531650 537824 548800 555520 562030 573500 580160 587264 588245 592000 595448 600250 607600 614656 621859 627200 634550 634880 642320 663040 672280 680512 686000 694400 702464 710696 716800 725200 734080 744310 757760 759500 768320 777728 784000 786842 793600 802900 812224 828800 840350 850640 868000 878080 888370 888832 896000 899248 906500 917600 928256 941192 947200 960400 972160 992000 1003520 1003625 1015280 1024000 1027712 1036000 1042034 1060864 1063300 1075648 1097600 1111040 1124060 1147000 1160320 1174528 1176490 1184000 1190896 1200500 1215200 1229312 1243718 1254400 1269100 1269760 1284640 1326080 1329125 1344560 1361024 1372000 1388800 1404928 1405075 1421392 1433600 1450400 1468160 1488620 1515520 1519000 1536640 1555456 1568000 1573684 1586375 1587200 1605800 1624448 1657600 1680700 1701280 1736000 1756160 1776740 1777664 1792000 1798496 1813000 1835200 1856512 1860775 1882384 1894400 1920800 1944320 1967105 1984000 2007040 2007250 2030560 2055424 2072000 2084068 2100875 2121728 2126600 2151296 2195200 2220925 2222080 2248120 2294000 2320640 2349056 2352980 2368000 2381792 2401000 2430400 2458624 2487436 2508800 2538200 2569280 2605085 2652160 2658250 2689120 2722048 2744000 2753947 2777600 2809856 2810150 2842784 2900800 2936320 2941225 2977240 3038000 3073280 3109295 3110912 3136000 3147368 3172750 3174400 3211600 3248896 3315200 3361400 3402560 3472000 3512320 3553480 3584000 3596992 3626000 3647119 3670400 3713024 3721550 3764768 3788800 3841600 3888640 3934210 3968000 4014500 4061120 4110848 4144000 4168136 4201750 4253200 4302592 4353013 4390400 4441850 4444160 4496240 4588000 4641280 4698112 4705960 4736000 4763584 4802000 4860800 4917248 4974872 5017600 5076400 5138560 5210170 5304320 5316500 5378240 5444096 5488000 5507894 5555200 5620300 5685568 5801600 5872640 5882450 5954480 6076000 6146560 6218590 6221824 6272000 6294736 6345500 6348800 6423200 6497792 6630400 6722800 6805120 6944000 7024640 7025375 7106960 7168000 7193984 7252000 7294238 7340800 7426048 7443100 7529536 7577600 7683200 7777280 7868420 7936000 8029000 8122240 8221696 8288000 8336272 8403500 8506400 8605184 8706026 8780800 8883700 8888320 8992480 9176000 9282560 9303875 9396224 9411920 9472000 9527168 9604000 9721600 9834496 9835525 9949744 10035200 10152800 10277120 10420340 10608640 10633000 10756480 10888192 10976000 11015788 11104625 11110400 11240600 11371136 11603200 11745280 11764900 11908960 12152000 12293120 12437180 12443648 12544000 12589472 12691000 12846400 12995584 13025425 13260800 13445600 13610240 13769735 13888000 14049280 14050750 14213920 14387968 14504000 14588476 14681600 14706125 14852096 14886200 15059072 15366400 15546475 15554560 15736840 15872000 16058000 16244480 16443392 16576000 16672544 16807000 17012800 17210368 17412052 17561600 17767400 17984960 18235595 18352000 18565120 18607750 18823840 18944000 19054336 19208000 19277629 19443200 19668992 19671050 19899488 20305600 20554240 20840680 21266000 21512960 21765065 21776384 21952000 22031576 22209250 22220800 22481200 22742272 23206400 23490560 23529800 23817920 24304000 24586240 24874360 25088000 25178944 25382000 25692800 25991168 26050850 26521600 26891200 27220480 27539470 27776000 28101500 28427840 28775936 29008000 29176952 29363200 29412250 29772400 30118144 30732800 31092950 31109120 31473680 31744000 32116000 32488960 32886784 33152000 33345088 33614000 34025600 34420736 34824104 35123200 35534800 35969920 36471190 36704000 37130240 37215500 37647680 37888000 38108672 38416000 38555258 38886400 39342100 39798976 40611200 41108480 41681360 42532000 43025920 43530130 43552768 43904000 44063152 44418500 44441600 44962400 45484544 46412800 46981120 47059600 47635840 48608000 49172480 49177625 49748720 50176000 50357888 50764000 51385600 51982336 52101700 53043200 53782400 54440960 55078940 55552000 56203000 56855680 57551872 58016000 58353904 58726400 58824500 59544800 60236288 61465600 62185900 62218240 62947360 64232000 64977920 65127125 65773568 66304000 66690176 67228000 68051200 68841472 68848675 69648208 70246400 71069600 71939840 72942380 73408000 74260480 74431000 75295360 76217344 76832000 77110516 77732375 77772800 78684200 79597952 81222400 82216960 83362720 85064000 86051840 87060260 87105536 87808000 88126304 88837000 89924800 90969088 91177975 92825600 94119200 95271680 96388145 97216000 98344960 98355250 99497440 100715776 101528000 102771200 103964672 104203400 107564800 108825325 108881920 110157880 111104000 112406000 113711360 115103744 116032000 116707808 117452800 117649000 119089600 120472576 122931200 124371800 125894720 128464000 129955840 130254250 132608000 133380352 134456000 134943403 136102400 137682944 137697350 139296416 142139200 143879680 145884760 146816000 148862000 150590720 152434688 153664000 154221032 155464750 155545600 157368400 159195904 162444800 164433920 166725440 170128000 172103680 174120520 175616000 176252608 177674000 179849600 181938176 182355950 185651200 188238400 190543360 192776290 194432000 196710500 198994880 201431552 203056000 205542400 208406800 215129600 217650650 217763840 220315760 222208000 224812000 227422720 230207488 232064000 233415616 234905600 235298000 238179200 240945152 245862400 248743600 251789440 256928000 259911680 260508500 265216000 266760704 268912000 269886806 272204800 275394700 278592832 284278400 287759360 291769520 293632000 297724000 301181440 304869376 307328000 308442064 310929500 311091200 314736800 318391808 324889600 328867840 333450880 340256000 344207360 344243375 348241040 351232000 352505216 355348000 359699200 363876352 364711900 371302400 376476800 381086720 385552580 388864000 393421000 397989760 402863104 406112000 411084800 416813600 430259200 435301300 435527680 440631520 449624000 454845440 455889875 460414976 464128000 466831232 470596000 476358400 481890304 481940725 491724800 497487200 503578880 513856000 519823360 521017000 533521408 537824000 539773612 544126625 544409600 550789400 557185664 568556800 575518720 583539040 587264000 595448000 602362880 609738752 614656000 616884128 621859000 629473600 636783616 649779200 666901760 674717015 680512000 688414720 688486750 696482080 705010432 710696000 719398400 727752704 729423800 752953600 762173440 771105160 777728000 786842000 795979520 805726208 812224000 822169600 833627200 860518400 870602600 881263040 899248000 909690880 911779750 928256000 933662464 941192000 952716800 963780608 963881450 994974400 1007157760 1027712000 1042034000 1067042816 1075648000 1079547224 1088253250 1088819200 1101578800 1114371328 1137113600 1151037440 1167078080 1174528000 1190896000 1204725760 1229312000 1233768256 1243718000 1258947200 1273567232 1299558400 1333803520 1349434030 1361024000 1376973500 1392964160 1410020864 1421392000 1438796800 1458847600 1505907200 1524346880 1542210320 1555456000 1573684000 1591959040 1611452416 1624448000 1644339200 1667254400 1721036800 1741205200 1762526080 1798496000 1819381760 1823559500 1856512000 1867324928 1882384000 1905433600 1927762900 1989948800 2014315520 2055424000 2084068000 2134085632 2151296000 2159094448 2176506500 2177638400 2203157600 2228742656 2274227200 2302074880 2334156160 2381792000 2409451520 2409703625 2458624000 2467536512 2487436000 2517894400 2547134464 2599116800 2667607040 2698868060 2722048000 2753947000 2785928320 2820041728 2842784000 2877593600 2917695200 3011814400 3048693760 3084420640 3147368000 3183918080 3222904832 3248896000 3334508800 3373585075 3442073600 3482410400 3525052160 3596992000 3638763520 3647119000 3734649856 3764768000 3810867200 3855525800 3979897600 4028631040 4110848000 4168136000 4268171264 4302592000 4318188896 4353013000 4406315200 4457485312 4548454400 4668312320 4763584000 4818903040 4819407250 4935073024 4974872000 5035788800 5094268928 5335214080 5397736120 5444096000 5507894000 5571856640 5640083456 5685568000 5755187200 5835390400 6023628800 6168841280 6294736000 6367836160 6497792000 6669017600 6747170150 6964820800 7050104320 7193984000 7294238000 7469299712 7529536000 7621734400 7711051600 7959795200 8057262080 8221696000 8336272000 8605184000 8636377792 8706026000 8812630400 8914970624 9096908800 9336624640 9527168000 9638814500 9870146048 9949744000 10071577600 10670428160 10795472240 10888192000 11015788000 11143713280 11280166912 11371136000 11510374400 11670780800 12047257600 12337682560 12589472000 12735672320 12995584000 13338035200 13494340300 13929641600 14100208640 14387968000 14588476000 14938599424 15059072000 15243468800 15422103200 15919590400 16114524160 16672544000 16867925375 17210368000 17272755584 17412052000 17625260800 17829941248 18193817600 18673249280 19054336000 19277629000 19740292096 19899488000 20143155200 21340856320 21590944480 22031576000 22287426560 22560333824 22742272000 23341561600 24094515200 24675365120 25178944000 25471344640 26676070400 26988680600 27859283200 28200417280 28775936000 29176952000 29877198848 30118144000 30844206400 31839180800 33345088000 33735850750 34545511168 34824104000 35250521600 35659882496 37346498560 38108672000 38555258000 39480584192 39798976000 40286310400 43181888960 44063152000 44574853120 45484544000 46683123200 49350730240 50357888000 53352140800 53977361200 55718566400 56400834560 57551872000 58353904000 60236288000 61688412800 63678361600 66690176000 67471701500 69091022336 69648208000 70501043200 74692997120 76217344000 77110516000 78961168384 79597952000 80572620800 86363777920 88126304000 89149706240 90969088000 93366246400 98701460480 100715776000 106704281600 107954722400 111437132800 112801669120 116707808000 120472576000 123376825600 127356723200 133380352000 134943403000 138182044672 139296416000 141002086400 149385994240 154221032000 157922336768 159195904000 172727555840 176252608000 178299412480 186732492800 197402920960 201431552000 215909444800 222874265600 233415616000 246753651200 266760704000 269886806000 276364089344 278592832000 282004172800 308442064000 318391808000 345455111680 352505216000 373464985600 394805841920 402863104000 431818889600 445748531200 466831232000 493507302400 533521408000 539773612000 552728178688 557185664000 564008345600 616884128000 636783616000 690910223360 705010432000 746929971200 789611683840 863637779200 891497062400 933662464000 987014604800 1079547224000 1105456357376 1114371328000 1233768256000 1381820446720 1410020864000 1727275558400 1867324928000 1974029209600 2159094448000 2228742656000 2467536512000 2763640893440 2820041728000 3454551116800 3734649856000 3948058419200 4318188896000 4457485312000 4935073024000 5527281786880 6909102233600 8636377792000 9870146048000 13818204467200 17272755584000 19740292096000 27636408934400 34545511168000 69091022336000 138182044672000
- Sum of all divisors σ(n): 426565872734976
- Sum of proper divisors (its aliquot sum) s(n): 288383828062976
- 138182044672000 is an abundant number, because the sum of its proper divisors (288383828062976) is greater than itself. Its abundance is 150201783390976
Bases of 138182044672000
- Binary: 111110110101101000000111010111111100000000000002
- Hexadecimal: 0x7DAD03AFE000
- Base-36: 1CZBYDN5DS
Squares and roots of 138182044672000
- 138182044672000 squared (1381820446720002) is 19094277469734603587584000000
- 138182044672000 cubed (1381820446720003) is 2638486302302430120923743752552448000000000
-
The
square root of 138182044672000 is 11755085.9066193131 -
The
cube root of 138182044672000 is 51699.2058002347
Scales and comparisons
How big is 138182044672000?- 138,182,044,672,000 seconds is equal to 4,393,761 years, 30 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,182,044,672,000 would take you about ten million, nine hundred eighty-four thousand, four hundred three 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 138182044672000 cubic inches would be around 4308.3 feet tall.
Recreational maths with 138182044672000
- 138182044672000 backwards is 000276440281831
- The number of decimal digits it has is: 15
- The sum of 138182044672000's digits is 46
- 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 138182044672000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 138182044672000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138182044672000/
Chicago style:
Numbermatics. 2024. "Number 138182044672000 - Facts about the integer". https://numbermatics.com/n/138182044672000/
The information we have on file for 138182044672000 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 138182044672000, math, Factors of 138182044672000, curriculum, school, college, exams, university, Prime factorization of 138182044672000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred eighty-two billion, forty-four million, six hundred seventy-two thousand.