138180757788964000
138,180,757,788,964,000 is an even composite number composed of seven prime numbers multiplied together.
138180757788964000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138180757788964000:
25 × 53 × 11 × 31 × 792 × 181 × 89681
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 31 × 79 × 79 × 181 × 89681)See below for interesting mathematical facts about the number 138180757788964000 from the Numbermatics database.
Names of 138180757788964000
- Cardinal: 138180757788964000 can be written as One hundred thirty-eight quadrillion, one hundred eighty trillion, seven hundred fifty-seven billion, seven hundred eighty-eight million, nine hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.38180757788964 × 1017
Factors of 138180757788964000
Divisors of 138180757788964000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 31 32 40 44 50 55 62 79 80 88 100 110 124 125 155 158 160 176 181 200 220 248 250 275 310 316 341 352 362 395 400 440 496 500 550 620 632 682 724 775 790 800 869 880 905 992 1000 1100 1240 1264 1364 1375 1448 1550 1580 1705 1738 1760 1810 1975 1991 2000 2200 2449 2480 2528 2728 2750 2896 3100 3160 3410 3476 3620 3875 3950 3982 4000 4345 4400 4525 4898 4960 5456 5500 5611 5792 6200 6241 6320 6820 6952 7240 7750 7900 7964 8525 8690 8800 9050 9796 9875 9955 10912 11000 11222 12245 12400 12482 12640 13640 13904 14299 14480 15500 15800 15928 17050 17380 18100 19592 19750 19910 21725 22000 22444 22625 24490 24800 24964 26939 27280 27808 28055 28598 28960 31000 31205 31600 31856 34100 34760 36200 39184 39500 39820 42625 43450 44000 44888 45250 48980 49775 49928 53878 54560 56110 57196 61225 61721 62000 62410 63200 63712 68200 68651 69520 71495 72400 78368 79000 79640 85250 86900 89681 89776 90500 97960 99550 99856 107756 108625 112220 114392 122450 123442 124000 124820 134695 136400 137302 139040 140275 142990 144800 156025 157289 158000 159280 170500 173800 179362 179552 181000 193471 195920 199100 199712 215512 217250 224440 228784 244900 246884 248875 249640 269390 272800 274604 280550 285980 306125 308605 312050 314578 316000 318560 341000 343255 347600 357475 358724 362000 386942 391840 398200 431024 434500 443269 448405 448880 457568 489800 493768 497750 499280 538780 549208 561100 571960 612250 617210 624100 629156 673475 682000 686510 695200 701375 714950 717448 724000 773884 780125 786445 796400 862048 869000 886538 896810 897760 967355 979600 986491 987536 995500 998560 1077560 1098416 1122200 1129621 1143920 1224500 1234420 1248200 1258312 1346950 1364000 1373020 1402750 1429900 1434896 1543025 1547768 1560250 1572890 1592800 1716275 1738000 1773076 1787375 1793620 1934710 1959200 1972982 1975072 1991000 2128181 2155120 2196832 2216345 2242025 2244400 2259242 2287840 2449000 2468840 2496400 2516624 2693900 2746040 2780111 2805500 2859800 2869792 3086050 3095536 3120500 3145780 3367375 3432550 3476000 3546152 3574750 3587240 3869420 3932225 3945964 3982000 4256362 4310240 4432690 4484050 4488800 4518484 4836775 4875959 4898000 4932455 4937680 4992800 5033248 5387800 5492080 5560222 5611000 5648105 5719600 6172100 6191072 6241000 6291560 6734750 6865100 7084799 7092304 7149500 7174480 7715125 7738840 7864450 7891928 7964000 8512724 8581375 8865380 8968100 9036968 9673550 9751918 9796000 9864910 9875360 10640905 10775600 10984160 11081725 11120444 11210125 11222000 11296210 11439200 12344200 12425831 12482000 12583120 13469500 13730200 13900555 14169598 14184608 14299000 14348960 15430250 15477680 15728900 15783856 16232261 17025448 17162750 17730760 17936200 18073936 19347100 19503836 19661125 19729820 21281810 21551200 22163450 22240888 22420250 22444000 22592420 24183875 24379795 24662275 24688400 24851662 24964000 25166240 26939000 27460400 27801110 28240525 28339196 28598000 30581221 30860500 30955360 31457800 31567712 32464522 34050896 34325500 35018251 35423995 35461520 35872400 36147872 38694200 39007672 39322250 39459640 42563620 44326900 44481776 44840500 45184840 48367750 48759590 49324550 49376800 49703324 53204525 53878000 54920800 55408625 55602220 56481050 56678392 57196000 61162442 61721000 62129155 62915600 64929044 68101792 68651000 69502775 70036502 70847990 70923040 71744800 77388400 77932789 78015344 78644500 78919280 81161305 85127240 88653800 88963552 89681000 90369680 96735500 97519180 98649100 99406648 106409050 107756000 110817250 111204440 112962100 113356784 121898975 122324884 123311375 123442000 124258310 125831200 129858088 137302000 139005550 140073004 141202625 141695980 152906105 154776800 155865578 156030688 157289000 157838560 162322610 170254480 175091255 177119975 177307600 178554871 179362000 180739360 193471000 195038360 197298200 198813296 212818100 219628769 221634500 222408880 225924200 226713568 243797950 244649768 246622750 246884000 248516620 259716176 266022625 274604000 278011100 280146008 282405250 283391960 305812210 310645775 311731156 314578000 324645220 340508960 347513875 350182510 354239950 354615200 357109742 358724000 385200761 386942000 389663945 390076720 394596400 397626592 405806525 425636200 439257538 443269000 444817760 451848400 487595900 489299536 493245500 497033240 503200091 519432352 532045250 556022200 559699121 560292016 564810500 566783920 609494875 611624420 621291550 623462312 629156000 649290440 695027750 700365020 708479900 714219484 764530525 770401522 773884000 779327890 780153440 789192800 811613050 851272400 875456275 878515076 885599875 886538000 892774355 903696800 975191800 978599072 986491000 994066480 1006400182 1064090500 1098143845 1112044400 1119398242 1120584032 1129621000 1133567840 1218989750 1223248840 1242583100 1246924624 1282348619 1298580880 1390055500 1400730040 1416959800 1428438968 1529061050 1540803044 1553228875 1558655780 1623226100 1702544800 1750912550 1757030152 1771199750 1773076000 1785548710 1926003805 1948319725 1950383600 1972982000 1988132960 2012800364 2029032625 2128181000 2196287690 2224088800 2238796484 2259242000 2415916459 2437979500 2446497680 2485166200 2493849248 2516000455 2564697238 2597161760 2780111000 2798495605 2801460080 2833919600 2856877936 3058122100 3081606088 3106457750 3117311560 3246452200 3501825100 3514060304 3542399500 3571097420 3822652625 3852007610 3896639450 3900767200 3945964000 4025600728 4058065250 4256362000 4377281375 4392575380 4463871775 4477592968 4518484000 4831832918 4875959000 4892995360 4970332400 5032000910 5129394476 5490719225 5535201001 5560222000 5596991210 5602920160 5667839200 5713755872 6116244200 6156690331 6163212176 6212915500 6234623120 6411743095 6492904400 7003650200 7028120608 7084799000 7142194840 7645305250 7704015220 7793278900 8051201456 8116130500 8512724000 8754562750 8785150760 8927743550 8955185936 9630019025 9663665836 9741598625 9751918000 9940664800 10064001820 10258788952 10981438450 11070402002 11120444000 11193982420 12079582295 12232488400 12313380662 12326424352 12425831000 12469246240 12580002275 12823486190 12985808800 13992478025 14007300400 14105834809 14169598000 14284389680 15290610500 15408030440 15586557800 16102402912 16232261000 17350672751 17509125500 17570301520 17855487100 17910371872 19260038050 19327331672 19483197250 19503836000 20128003640 20517577904 21962876900 22140804004 22319358875 22387964840 24159164590 24464976800 24626761324 24851662000 25160004550 25646972380 27453596125 27676005005 27984956050 28014600800 28211669618 28339196000 28568779360 30581221000 30783451655 30816060880 31173115600 32058715475 32464522000 34701345502 35018251000 35140603040 35710974200 38520076100 38654663344 38966394500 39752807189 40256007280 41035155808 43925753800 44281608008 44638717750 44775929680 48150095125 48318329180 49253522648 49703324000 50320009100 51293944760 54907192250 55352010010 55969912100 56423339236 60397911475 61162442000 61566903310 61632121760 62346231200 62900011375 64117430950 64929044000 69402691004 69962390125 70036502000 70529174045 71421948400 77040152200 77309326688 77932789000 79505614378 80512014560 86753363755 87851507600 88563216016 89277435500 89551859360 96300190250 96636658360 98507045296 100640018200 101305540901 102587889520 109814384500 110704020020 111939824200 112846678472 120795822950 122324884000 123133806620 125800022750 128234861900 138380025025 138805382008 139924780250 140073004000 141058348090 142843896800 153917258275 154080304400 155865578000 159011228756 160293577375 173506727510 175703015200 177126432032 178554871000 190857400261 192600380500 193273316720 197014090592 198764035945 201280036400 202611081802 205175779040 219628769000 221408040040 223879648400 225693356944 241591645900 246267613240 251600045500 256469723800 276760050050 277610764016 279849560500 282116696180 301989557375 307834516550 308160608800 311731156000 318022457512 320587154750 347013455020 352645870225 357109742000 381714800522 385200761000 386546633440 397528071890 402560072800 405222163604 433766818775 437280879079 439257538000 442816080080 447759296800 451386713888 483183291800 492535226480 503200091000 506527704505 512939447600 553520100100 555221528032 559699121000 564233392360 603979114750 615669033100 636044915024 641174309500 691900125125 694026910040 705291740450 714219484000 763429601044 769586291375 770401522000 795056143780 810444327208 867533637550 874561758158 878515076000 885632160160 954287001305 966366583600 985070452960 993820179725 1006400182000 1013055409010 1025878895200 1107040200200 1114360949911 1119398242000 1128466784720 1207958229500 1231338066200 1272089830048 1282348619000 1383800250250 1388053820080 1410583480900 1526859202088 1539172582750 1540803044000 1590112287560 1620888654416 1735067275100 1749123516316 1763229351125 1908574002610 1932733167200 1987640359450 2012800364000 2026110818020 2168834093875 2186404395395 2214080400400 2228721899822 2238796484000 2256933569440 2415916459000 2462676132400 2532638522525 2564697238000 2767600500500 2776107640160 2821166961800 3053718404176 3078345165500 3140471767931 3180224575120 3241777308832 3470134550200 3498247032632 3526458702250 3817148005220 3975280718900 4052221636040 4337668187750 4372808790790 4428160800800 4457443799644 4771435006525 4831832918000 4925352264800 4969100898625 5065277045050 5129394476000 5535201001000 5571804749555 5642333923600 6107436808352 6156690331000 6280943535862 6360449150240 6940269100400 6996494065264 7052917404500 7634296010440 7950561437800 8104443272080 8675336375500 8745617581580 8914887599288 9542870013050 9663665836000 9938201797250 10130554090100 10932021976975 11070402002000 11143609499110 11284667847200 12313380662000 12561887071724 12663192612625 13880538200800 13992988130528 14105834809000 15268592020880 15702358839655 15901122875600 16208886544160 17350672751000 17491235163160 17829775198576 19085740026100 19876403594500 20261108180200 21864043953950 22140804004000 22287218998220 23857175032625 24626761324000 25123774143448 25326385225250 27859023747775 28211669618000 30537184041760 31404717679310 31802245751200 34545189447241 34701345502000 34982470326320 35659550397152 38171480052200 39752807189000 40522216360400 43728087907900 44574437996440 47714350065250 50247548286896 50652770450500 54660109884875 55718047495550 56423339236000 62809435358620 69090378894482 69402691004000 69964940652640 76342960104400 78511794198275 79505614378000 81044432720800 87456175815800 89148875992880 95428700130500 100495096573792 101305540901000 109320219769750 111436094991100 125618870717240 138180757788964 139295118738875 152685920208800 157023588396550 159011228756000 172725947236205 174912351631600 178297751985760 190857400261000 202611081802000 218640439539500 222872189982200 251237741434480 276361515577928 278590237477750 314047176793100 345451894472410 349824703263200 381714800522000 392558970991375 405222163604000 437280879079000 445744379964400 502475482868960 552723031155856 557180474955500 628094353586200 690903788944820 763429601044000 785117941982750 863629736181025 874561758158000 891488759928800 1105446062311712 1114360949911000 1256188707172400 1381807577889640 1570235883965500 1727259472362050 1749123516316000 2228721899822000 2512377414344800 2763615155779280 3140471767931000 3454518944724100 4318148680905125 4457443799644000 5527230311558560 6280943535862000 6909037889448200 8636297361810250 12561887071724000 13818075778896400 17272594723620500 27636151557792800 34545189447241000 69090378894482000 138180757788964000
- Sum of all divisors σ(n): 389366726001297408
- Sum of proper divisors (its aliquot sum) s(n): 251185968212333408
- 138180757788964000 is an abundant number, because the sum of its proper divisors (251185968212333408) is greater than itself. Its abundance is 113005210423369408
Bases of 138180757788964000
- Binary: 1111010101110101010101010110001101100111000110100101000002
- Hexadecimal: 0x1EAEAAAC6CE34A0
- Base-36: 11SKZNSA3X5S
Squares and roots of 138180757788964000
- 138180757788964000 squared (1381807577889640002) is 19093921823132335153960193296000000
- 138180757788964000 cubed (1381807577889640003) is 2638412586683663120017710729916655015585344000000000
-
The
square root of 138180757788964000 is 371726724.6095765981 -
The
cube root of 138180757788964000 is 516990.4530896037
Scales and comparisons
How big is 138180757788964000?- 138,180,757,788,964,000 seconds is equal to 4,393,720,676 years, 28 weeks, 1 day, 3 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,180,757,788,964,000 would take you about thirteen billion, one hundred eighty-one million, one hundred sixty-two thousand and twenty-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 138180757788964000 cubic inches would be around 43082.5 feet tall.
Recreational maths with 138180757788964000
- 138180757788964000 backwards is 000469887757081831
- The number of decimal digits it has is: 18
- The sum of 138180757788964000's digits is 82
- More coming soon!
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The information we have on file for 138180757788964000 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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