138152010238368000
138,152,010,238,368,000 is an even composite number composed of six prime numbers multiplied together.
138152010238368000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138152010238368000:
28 × 3 × 53 × 7 × 612 × 74332
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 61 × 61 × 7433 × 7433)See below for interesting mathematical facts about the number 138152010238368000 from the Numbermatics database.
Names of 138152010238368000
- Cardinal: 138152010238368000 can be written as One hundred thirty-eight quadrillion, one hundred fifty-two trillion, ten billion, two hundred thirty-eight million, three hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.38152010238368 × 1017
Factors of 138152010238368000
Divisors of 138152010238368000
- Number of divisors d(n): 1296
-
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 61 64 70 75 80 84 96 100 105 112 120 122 125 128 140 150 160 168 175 183 192 200 210 224 240 244 250 256 280 300 305 320 336 350 366 375 384 400 420 427 448 480 488 500 525 560 600 610 640 672 700 732 750 768 800 840 854 875 896 915 960 976 1000 1050 1120 1200 1220 1280 1281 1344 1400 1464 1500 1525 1600 1680 1708 1750 1792 1830 1920 1952 2000 2100 2135 2240 2400 2440 2562 2625 2688 2800 2928 3000 3050 3200 3360 3416 3500 3660 3721 3840 3904 4000 4200 4270 4480 4575 4800 4880 5124 5250 5376 5600 5856 6000 6100 6400 6405 6720 6832 7000 7320 7433 7442 7625 7808 8000 8400 8540 8960 9150 9600 9760 10248 10500 10675 11163 11200 11712 12000 12200 12810 13440 13664 14000 14640 14866 14884 15250 15616 16000 16800 17080 18300 18605 19200 19520 20496 21000 21350 22299 22326 22400 22875 23424 24000 24400 25620 26047 26880 27328 28000 29280 29732 29768 30500 32000 32025 33600 34160 36600 37165 37210 39040 40992 42000 42700 44598 44652 44800 45750 46848 48000 48800 51240 52031 52094 53375 54656 55815 56000 58560 59464 59536 61000 64050 67200 68320 73200 74330 74420 78080 78141 81984 84000 85400 89196 89304 91500 93025 96000 97600 102480 104062 104188 106750 109312 111495 111630 112000 117120 118928 119072 122000 128100 130235 134400 136640 146400 148660 148840 156093 156282 160125 163968 168000 170800 178392 178608 183000 185825 186050 195200 204960 208124 208376 213500 222990 223260 224000 234240 237856 238144 244000 256200 260155 260470 273280 279075 292800 297320 297680 312186 312564 320250 327936 336000 341600 356784 357216 366000 371650 372100 390400 390705 409920 416248 416752 427000 445980 446520 453413 465125 475712 476288 488000 512400 520310 520940 546560 557475 558150 585600 594640 595360 624372 625128 640500 651175 672000 683200 713568 714432 732000 743300 744200 780465 781410 819840 832496 833504 854000 891960 893040 906826 929125 930250 951424 952576 976000 1024800 1040620 1041880 1114950 1116300 1171200 1189280 1190720 1248744 1250256 1281000 1300775 1302350 1360239 1366400 1395375 1427136 1428864 1464000 1486600 1488400 1560930 1562820 1639680 1664992 1667008 1708000 1783920 1786080 1813652 1858250 1860500 1902848 1952000 1953525 2049600 2081240 2083760 2229900 2232600 2267065 2378560 2381440 2497488 2500512 2562000 2601550 2604700 2720478 2732800 2787375 2790750 2854272 2857728 2928000 2973200 2976800 3121860 3125640 3173891 3255875 3329984 3334016 3416000 3567840 3572160 3627304 3716500 3721000 3902325 3907050 4099200 4162480 4167520 4459800 4465200 4534130 4757120 4762880 4994976 5001024 5124000 5203100 5209400 5440956 5574750 5581500 5708544 5856000 5946400 5953600 6243720 6251280 6347782 6503875 6511750 6659968 6668032 6801195 6832000 7135680 7144320 7254608 7433000 7442000 7804650 7814100 8198400 8324960 8335040 8919600 8930400 9068260 9514240 9521673 9767625 9989952 10002048 10248000 10406200 10418800 10881912 11149500 11163000 11335325 11892800 11907200 12487440 12502560 12695564 13007750 13023500 13319936 13602390 13664000 14271360 14288640 14509216 14866000 14884000 15609300 15628200 15869455 16649920 16670080 17839200 17860800 18136520 19043346 19511625 19535250 19979904 20004096 20496000 20812400 20837600 21763824 22299000 22326000 22670650 23785600 23814400 24974880 25005120 25391128 26015500 26047000 27204780 27658193 28542720 29018432 29732000 29768000 31218600 31256400 31738910 33299840 33340160 34005975 35678400 35721600 36273040 38086692 39023250 39070500 39959808 40992000 41624800 41675200 43527648 44598000 44652000 45341300 47571200 47608365 49949760 50010240 50782256 52031000 52094000 54409560 55249489 55316386 56676625 58036864 59464000 59536000 62437200 62512800 63477820 66599680 68011950 71356800 71443200 72546080 76173384 78046500 78141000 79347275 82974579 83249600 83350400 87055296 89196000 89304000 90682600 95216730 99899520 100020480 101564512 104062000 104188000 108819120 110498978 110632772 113353250 116073728 118928000 119072000 124874400 125025600 126955640 136023900 138290965 142713600 145092160 152346768 156093000 156282000 158694550 165748467 165949158 166499200 166700800 170029875 174110592 178392000 178608000 181365200 190433460 193607351 199799040 203129024 208124000 208376000 217638240 220997956 221265544 226706500 237856000 238041825 249748800 250051200 253911280 272047800 276247445 276581930 290184320 304693536 312186000 312564000 317389100 331496934 331898316 332998400 340059750 348221184 356784000 357216000 362730400 380866920 386746423 387214702 396736375 406258048 414872895 416248000 416752000 435276480 441995912 442531088 453413000 476083650 499497600 500102400 507822560 544095600 552494890 553163860 580368640 580822053 609387072 624372000 625128000 634778200 662993868 663796632 680119500 691454825 713568000 725460800 761733840 773492846 774429404 793472750 812516096 828742335 829745790 832496000 833504000 870552960 883991824 885062176 906826000 952167300 968036755 998995200 1015645120 1088191200 1104989780 1106327720 1160239269 1161644106 1190209125 1218774144 1248744000 1250256000 1269556400 1325987736 1327593264 1360239000 1381237225 1382909650 1450921600 1523467680 1546985692 1548858808 1586945500 1657484670 1659491580 1664992000 1741105920 1767983648 1770124352 1813652000 1904334600 1933732115 1936073510 2031290240 2074364475 2176382400 2209979560 2212655440 2320478538 2323288212 2380418250 2437548288 2497488000 2500512000 2539112800 2651975472 2655186528 2720478000 2762474450 2765819300 2901843200 2904110265 3046935360 3093971384 3097717616 3173891000 3314969340 3318983160 3370218829 3457274125 3535967296 3540248704 3627304000 3808669200 3867464230 3872147020 4062580480 4143711675 4148728950 4352764800 4419959120 4425310880 4640957076 4646576424 4760836500 4840183775 4994976000 5078225600 5303950944 5310373056 5440956000 5524948900 5531638600 5801196345 5808220530 6093870720 6187942768 6195435232 6347782000 6629938680 6637966320 6740437658 6906186125 6914548250 7071934592 7080497408 7254608000 7617338400 7734928460 7744294040 8287423350 8297457900 8705529600 8839918240 8850621760 9281914152 9293152848 9521673000 9668660575 9680367550 10110656487 10156451200 10371822375 10607901888 10620746112 10881912000 11049897800 11063277200 11602392690 11616441060 12187741440 12375885536 12390870464 12695564000 13259877360 13275932640 13480875316 13812372250 13829096500 14143869184 14509216000 14520551325 15234676800 15469856920 15488588080 16574846700 16594915800 16851094145 17679836480 17701243520 18563828304 18586305696 19043346000 19337321150 19360735100 20221312974 20312902400 20718558375 20743644750 21215803776 21241492224 21763824000 22099795600 22126554400 23204785380 23232882120 23591531803 24200918875 24751771072 24781740928 25391128000 26519754720 26551865280 26961750632 27624744500 27658193000 29005981725 29041102650 30469353600 30939713840 30977176160 33149693400 33189831600 33702188290 35359672960 35402487040 37127656608 37172611392 38086692000 38674642300 38721470200 40442625948 41437116750 41487289500 42431607552 43527648000 44199591200 44253108800 46409570760 46465764240 47183063606 48343302875 48401837750 49503542144 49563481856 50553282435 50782256000 53039509440 53103730560 53923501264 55249489000 55316386000 58011963450 58082205300 60938707200 61879427680 61954352320 66299386800 66379663200 67404376580 70719345920 70774595409 72602756625 74255313216 74345222784 76173384000 77349284600 77442940400 80885251896 82874233500 82974579000 84255470725 88399182400 88506217600 92819141520 92931528480 94366127212 96686605750 96803675500 99007084288 101106564870 101564512000 106079018880 106207461120 107847002528 110498978000 110632772000 116023926900 116164410600 117957659015 123758855360 123908704640 132598773600 132759326400 134808753160 141549190818 145029908625 145205513250 148510626432 148690445568 152346768000 154698569200 154885880800 161770503792 165748467000 165949158000 168510941450 176798364800 177012435200 185638283040 185863056960 188732254424 193373211500 193607351000 202213129740 205583348569 212158037760 215694005056 220997956000 221265544000 232047853800 232328821200 235915318030 247517710720 247817409280 252766412175 265197547200 265518652800 269617506320 283098381636 290059817250 290411026500 297021252864 304693536000 309397138400 309771761600 323541007584 331496934000 331898316000 337021882900 353596729600 353872977045 371276566080 371726113920 377464508848 386746423000 387214702000 404426259480 411166697138 421277353625 431388010112 441995912000 442531088000 464095707600 464657642400 471830636060 495035421440 505532824350 530395094400 531037305600 539235012640 566196763272 580119634500 580822053000 589788295075 616750045707 618794276800 619543523200 647082015168 662993868000 663796632000 674043765800 707745954090 742553132160 743452227840 754929017696 773492846000 774429404000 808852518960 822333394276 842554707250 862776020224 883991824000 885062176000 928191415200 929315284800 943661272120 1011065648700 1027916742845 1060790188800 1078470025280 1132393526544 1160239269000 1161644106000 1179576590150 1233500091414 1237588553600 1239087046400 1263832060875 1294164030336 1325987736000 1327593264000 1348087531600 1415491908180 1439083439983 1485106264320 1509858035392 1546985692000 1548858808000 1617705037920 1644666788552 1685109414500 1767983648000 1769364885225 1856382830400 1858630569600 1887322544240 2022131297400 2055833485690 2156940050560 2264787053088 2320478538000 2323288212000 2359153180300 2467000182828 2475177107200 2527664121750 2588328060672 2651975472000 2655186528000 2696175063200 2830983816360 2878166879966 2948941475375 3019716070784 3083750228535 3093971384000 3097717616000 3235410075840 3289333577104 3370218829000 3538729770450 3712765660800 3717261139200 3774645088480 4044262594800 4111666971380 4313880101120 4317250319949 4529574106176 4640957076000 4646576424000 4718306360600 4934000365656 5055328243500 5139583714225 5303950944000 5392350126400 5661967632720 5756333759932 5897882950750 6039432141568 6167500457070 6187942768000 6195435232000 6470820151680 6578667154208 6740437658000 7077459540900 7195417199915 7425531321600 7549290176960 8088525189600 8223333942760 8634500639898 8846824426125 9059148212352 9281914152000 9293152848000 9436612721200 9868000731312 10110656487000 10279167428450 10784700252800 11323935265440 11512667519864 11795765901500 12335000914140 12375885536000 12941640303360 13157334308416 13480875316000 14154919081800 14390834399830 15098580353920 15418751142675 16177050379200 16446667885520 17269001279796 17693648852250 18118296424704 18563828304000 18586305696000 18873225442400 19736001462624 20221312974000 20558334856900 21569400505600 21586251599745 22647870530880 23025335039728 23591531803000 24670001828280 25697918571125 26314668616832 26961750632000 28309838163600 28781668799660 30197160707840 30837502285350 32354100758400 32893335771040 34538002559592 35387297704500 35977085999575 37127656608000 37746450884800 39472002925248 40442625948000 41116669713800 43172503199490 45295741061760 46050670079456 47183063606000 49340003656560 51395837142250 52629337233664 53923501264000 56619676327200 57563337599320 61675004570700 64708201516800 65786671542080 69076005119184 70774595409000 71954171999150 75492901769600 77093755713375 78944005850496 80885251896000 82233339427600 86345006398980 90591482123520 92101340158912 94366127212000 98680007313120 102791674284500 107847002528000 107931257998725 113239352654400 115126675198640 123350009141400 131573343084160 138152010238368 141549190818000 143908343998300 150985803539200 154187511426750 157888011700992 161770503792000 164466678855200 172690012797960 179885429997875 184202680317824 188732254424000 197360014626240 205583348569000 215862515997450 226478705308800 230253350397280 246700018282800 263146686168320 276304020476736 283098381636000 287816687996600 308375022853500 323541007584000 328933357710400 345380025595920 359770859995750 368405360635648 377464508848000 394720029252480 411166697138000 431725031994900 452957410617600 460506700794560 493400036565600 539656289993625 552608040953472 566196763272000 575633375993200 616750045707000 657866715420800 690760051191840 719541719991500 754929017696000 789440058504960 822333394276000 863450063989800 921013401589120 986800073131200 1079312579987250 1105216081906944 1132393526544000 1151266751986400 1233500091414000 1315733430841600 1381520102383680 1439083439983000 1644666788552000 1726900127979600 1842026803178240 1973600146262400 2158625159974500 2264787053088000 2302533503972800 2467000182828000 2763040204767360 2878166879966000 3289333577104000 3453800255959200 3947200292524800 4317250319949000 4605067007945600 4934000365656000 5526080409534720 5756333759932000 6578667154208000 6907600511918400 8634500639898000 9210134015891200 9868000731312000 11512667519864000 13815201023836800 17269001279796000 19736001462624000 23025335039728000 27630402047673600 34538002559592000 46050670079456000 69076005119184000 138152010238368000
- Sum of all divisors σ(n): 533234837946964608
- Sum of proper divisors (its aliquot sum) s(n): 395082827708596608
- 138152010238368000 is an abundant number, because the sum of its proper divisors (395082827708596608) is greater than itself. Its abundance is 256930817470228608
Bases of 138152010238368000
- Binary: 1111010101101000010000101011101110100001110011001000000002
- Hexadecimal: 0x1EAD08577439900
- Base-36: 11SASTCCQ22O
Squares and roots of 138152010238368000
- 138152010238368000 squared (1381520102383680002) is 19085977932902136696179303424000000
- 138152010238368000 cubed (1381520102383680003) is 2636766218795561705781946608420350438572032000000000
-
The
square root of 138152010238368000 is 371688055.0116831505 -
The
cube root of 138152010238368000 is 516954.5985074735
Scales and comparisons
How big is 138152010238368000?- 138,152,010,238,368,000 seconds is equal to 4,392,806,593 years, 18 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 138,152,010,238,368,000 would take you about thirteen billion, one hundred seventy-eight million, four hundred nineteen thousand, seven hundred eighty 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 138152010238368000 cubic inches would be around 43079.5 feet tall.
Recreational maths with 138152010238368000
- 138152010238368000 backwards is 000863832010251831
- The number of decimal digits it has is: 18
- The sum of 138152010238368000's digits is 51
- 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 138152010238368000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
APA style:
Numbermatics. (2024). Number 138152010238368000 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/138152010238368000/
Chicago style:
Numbermatics. 2024. "Number 138152010238368000 - Facts about the integer". https://numbermatics.com/n/138152010238368000/
The information we have on file for 138152010238368000 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 138152010238368000, math, Factors of 138152010238368000, curriculum, school, college, exams, university, Prime factorization of 138152010238368000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred fifty-two trillion, ten billion, two hundred thirty-eight million, three hundred sixty-eight thousand.