138047797408665600

Names of 138047797408665600

• Cardinal: 138047797408665600 can be written as One hundred thirty-eight quadrillion, forty-seven trillion, seven hundred ninety-seven billion, four hundred eight million, six hundred sixty-five thousand, six hundred.

Scientific notation

• Scientific notation: 1.380477974086656 × 10¹⁷

Factors of 138047797408665600

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 4756

Divisors of 138047797408665600

• Number of divisors d(n): 1053
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 83 90 96 100 120 128 144 150 160 166 180 192 200 225 240 249 256 288 300 320 332 360 384 400 415 450 480 498 512 576 600 640 664 720 747 768 800 830 900 960 996 1024 1152 1200 1245 1280 1328 1440 1494 1536 1600 1660 1800 1920 1992 2048 2075 2304 2400 2490 2560 2656 2880 2988 3072 3200 3320 3600 3735 3840 3984 4096 4150 4608 4663 4800 4980 5120 5312 5760 5976 6144 6225 6400 6640 6889 7200 7470 7680 7968 8300 9216 9326 9600 9960 10240 10624 11520 11952 12288 12450 12800 13280 13778 13989 14400 14940 15360 15936 16600 18432 18652 18675 19200 19920 20480 20667 21248 23040 23315 23904 24900 25600 26560 27556 27978 28800 29880 30720 31872 33200 34445 36864 37304 37350 38400 39840 41334 41967 42496 46080 46630 47808 49800 51200 53120 55112 55956 57600 59760 61440 62001 63744 66400 68890 69945 74608 74700 76800 79680 82668 83934 84992 92160 93260 95616 99600 102400 103335 106240 110224 111912 115200 116575 119520 124002 127488 132800 137780 139890 149216 149400 153600 159360 165336 167868 169984 172225 184320 186520 191232 199200 206670 209835 212480 220448 223824 230400 233150 239040 248004 254976 265600 275560 279780 298432 298800 307200 310005 318720 330672 335736 339968 344450 349725 373040 382464 387029 398400 413340 419670 424960 440896 447648 460800 466300 478080 496008 509952 516675 531200 551120 559560 596864 597600 620010 637440 661344 671472 688900 699450 746080 764928 774058 796800 826680 839340 849920 881792 895296 921600 932600 956160 992016 1019904 1033350 1049175 1062400 1102240 1119120 1161087 1193728 1195200 1240020 1274880 1322688 1342944 1377800 1398900 1492160 1529856 1548116 1550025 1593600 1653360 1678680 1699840 1763584 1790592 1865200 1912320 1935145 1984032 2066700 2098350 2124800 2204480 2238240 2322174 2387456 2390400 2480040 2549760 2645376 2685888 2755600 2797800 2984320 3059712 3096232 3100050 3187200 3306720 3357360 3483261 3527168 3581184 3730400 3824640 3870290 3968064 4133400 4196700 4249600 4408960 4476480 4644348 4774912 4780800 4960080 5099520 5290752 5371776 5511200 5595600 5805435 5968640 6192464 6200100 6374400 6613440 6714720 6966522 7054336 7162368 7460800 7649280 7740580 7936128 8266800 8393400 8499200 8817920 8952960 9288696 9549824 9561600 9675725 9920160 10581504 10743552 11022400 11191200 11610870 11937280 12384928 12400200 12748800 13226880 13429440 13933044 14108672 14324736 14921600 15298560 15481160 15872256 16533600 16786800 17416305 17635840 17905920 18577392 19099648 19123200 19351450 19840320 21163008 21487104 21743569 22044800 22382400 23221740 23874560 24769856 24800400 25497600 26453760 26858880 27866088 28217344 28649472 29027175 29843200 30962320 31744512 32123407 33067200 33573600 34832610 35271680 35811840 37154784 38246400 38702900 39680640 42326016 42974208 43487138 44089600 44764800 46443480 47749120 49539712 49600800 52907520 53717760 55732176 57298944 58054350 59686400 61924640 63489024 64246814 65230707 66134400 67147200 69665220 70543360 71623680 74309568 76492800 77405800 79361280 84652032 85948416 86974276 87081525 88179200 89529600 92886960 95498240 96370221 99079424 99201600 105815040 107435520 108717845 111464352 116108700 119372800 123849280 126978048 128493628 130461414 132268800 134294400 139330440 141086720 143247360 148619136 154811600 158722560 160617035 171896832 173948552 174163050 176358400 179059200 185773920 192740442 195692121 198158848 198403200 211630080 214871040 217435690 222928704 232217400 238745600 247698560 253956096 256987256 260922828 264537600 268588800 278660880 286494720 289110663 297238272 309623200 317445120 321234070 326153535 347897104 348326100 352716800 358118400 371547840 385480884 391384242 396317696 396806400 423260160 429742080 434871380 445857408 464434800 477491200 481851105 495397120 513974512 521845656 529075200 537177600 543589225 557321760 578221326 594476544 619246400 634890240 642468140 652307070 695794208 696652200 705433600 716236800 743095680 770961768 782768484 792635392 793612800 803085175 859484160 869742760 891714816 928869600 963702210 978460605 990794240 1027949024 1043691312 1058150400 1074355200 1087178450 1114643520 1156442652 1188953088 1238492800 1269780480 1284936280 1304614140 1391588416 1393304400 1432473600 1445553315 1486191360 1541923536 1565536968 1585270784 1587225600 1606170350 1630767675 1739485520 1783429632 1804716227 1857739200 1927404420 1956921210 1981588480 2055898048 2087382624 2116300800 2148710400 2174356900 2229287040 2312885304 2377906176 2409255525 2476985600 2569872560 2609228280 2783176832 2786608800 2891106630 2972382720 3083847072 3131073936 3174451200 3212340700 3261535350 3478971040 3566859264 3609432454 3715478400 3854808840 3913842420 3963176960 4111796096 4174765248 4297420800 4348713800 4458574080 4625770608 4755812352 4818511050 4892303025 4953971200 5139745120 5218456560 5414148681 5566353664 5573217600 5782213260 5944765440 6167694144 6262147872 6348902400 6424681400 6523070700 6957942080 7133718528 7218864908 7227766575 7430956800 7709617680 7827684840 7926353920 8223592192 8349530496 8697427600 8917148160 9023581135 9251541216 9637022100 9784606050 9907942400 10279490240 10436913120 10828297362 11132707328 11146435200 11564426520 11889530880 12335388288 12524295744 12849362800 13046141400 13915884160 14267437056 14437729816 14455533150 14861913600 15419235360 15655369680 16242446043 16447184384 16699060992 17394855200 17834296320 18047162270 18503082432 19274044200 19569212100 19815884800 20558980480 20873826240 21656594724 22265414656 22292870400 23128853040 23779061760 24670776576 25048591488 25698725600 26092282800 27070743405 27831768320 28875459632 28911066300 29723827200 30838470720 31310739360 32484892086 32894368768 33398121984 34789710400 35668592640 36094324540 37006164864 38548088400 39138424200 39631769600 41117960960 41747652480 43313189448 44530829312 44585740800 45117905675 46257706080 49341553152 50097182976 51397451200 52184565600 54141486810 55663536640 57750919264 57822132600 59447654400 61676941440 62621478720 64969784172 65788737536 66796243968 69579420800 71337185280 72188649080 74012329728 77096176800 78276848400 81212230215 82235921920 83495304960 86626378896 89061658624 89171481600 90235811350 92515412160 98683106304 100194365952 102794902400 104369131200 108282973620 111327073280 115501838528 115644265200 118895308800 123353882880 125242957440 129939568344 131577475072 133592487936 135353717025 139158841600 144377298160 148024659456 149791446841 154192353600 156553696800 162424460430 164471843840 166990609920 173252757792 178342963200 180471622700 185030824320 197366212608 200388731904 205589804800 208738262400 216565947240 222654146560 231003677056 231288530400 246707765760 250485914880 259879136688 267184975872 270707434050 278317683200 288754596320 296049318912 299582893682 308384707200 313107393600 324848920860 328943687680 333981219840 346505515584 356685926400 360943245400 370061648640 394732425216 400777463808 406061151075 411179609600 417476524800 433131894480 445308293120 449374340523 462007354112 462577060800 493415531520 500971829760 519758273376 541414868100 556635366400 577509192640 592098637824 599165787364 616769414400 626214787200 649697841720 657887375360 667962439680 693011031168 721886490800 740123297280 748957234205 801554927616 812122302150 822359219200 834953049600 866263788960 898748681046 924014708224 925154121600 986831063040 1001943659520 1039516546752 1082829736200 1113270732800 1155018385280 1184197275648 1198331574728 1233538828800 1252429574400 1299395683440 1335924879360 1348123021569 1386022062336 1443772981600 1480246594560 1497914468410 1624244604300 1644718438400 1669906099200 1732527577920 1797497362092 1848029416448 1850308243200 1973662126080 2003887319040 2079033093504 2165659472400 2226541465600 2246871702615 2310036770560 2396663149456 2467077657600 2504859148800 2598791366880 2696246043138 2772044124672 2887545963200 2960493189120 2995828936820 3248489208600 3289436876800 3339812198400 3465055155840 3594994724184 3696058832896 3700616486400 3744786171025 4007774638080 4158066187008 4331318944800 4493743405230 4620073541120 4793326298912 4934155315200 5009718297600 5197582733760 5392492086276 5544088249344 5775091926400 5920986378240 5991657873640 6496978417200 6679624396800 6740615107845 6930110311680 7189989448368 7392117665792 7401232972800 7489572342050 8316132374016 8662637889600 8987486810460 9240147082240 9586652597824 9868310630400 10019436595200 10395165467520 10784984172552 11088176498688 11234358513075 11550183852800 11983315747280 12993956834400 13481230215690 13860220623360 14379978896736 14802465945600 14979144684100 16632264748032 17325275779200 17974973620920 18480294164480 19173305195648 20038873190400 20790330935040 21569968345104 22176352997376 22468717026150 23100367705600 23966631494560 25987913668800 26962460431380 27720441246720 28759957793472 29604931891200 29958289368200 33264529496064 33703075539225 34650551558400 35949947241840 36960588328960 38346610391296 41580661870080 43139936690208 44937434052300 46200735411200 47933262989120 51975827337600 53924920862760 55440882493440 57519915586944 59916578736400 66529058992128 67406151078450 69301103116800 71899894483680 76693220782592 83161323740160 86279873380416 89874868104600 92401470822400 95866525978240 103951654675200 107849841725520 110881764986880 115039831173888 119833157472800 134812302156900 138602206233600 143799788967360 153386441565184 166322647480320 172559746760832 179749736209200 184802941644800 191733051956480 207903309350400 215699683451040 230079662347776 239666314945600 269624604313800 277204412467200 287599577934720 306772883130368 332645294960640 345119493521664 359499472418400 383466103912960 415806618700800 431399366902080 460159324695552 479332629891200 539249208627600 554408824934400 575199155869440 613545766260736 690238987043328 718998944836800 766932207825920 831613237401600 862798733804160 920318649391104 958665259782400 1078498417255200 1150398311738880 1380477974086656 1437997889673600 1533864415651840 1663226474803200 1725597467608320 1840637298782208 1917330519564800 2156996834510400 2300796623477760 2760955948173312 2875995779347200 3067728831303680 3451194935216640 3834661039129600 4313993669020800 4601593246955520 5521911896346624 5751991558694400 6902389870433280 7669322078259200 8627987338041600 9203186493911040 11503983117388800 13804779740866560 15338644156518400 17255974676083200 23007966234777600 27609559481733120 34511949352166400 46015932469555200 69023898704332800 138047797408665600
• Sum of all divisors σ(n): 500593970606833857
• Sum of proper divisors (its aliquot sum) s(n): 362546173198168257
• 138047797408665600 is an abundant number, because the sum of its proper divisors (362546173198168257) is greater than itself. Its abundance is 224498375789502657

Bases of 138047797408665600

• Binary: 111101010011100011011110110000110100100011001000000000000₂
• Hexadecimal: 0x1EA71BD86919000
• Base-36: 11R9UYMOM4G0

Squares and roots of 138047797408665600

• 138047797408665600 squared (138047797408665600²) is 19057194369383980746373972623360000
• 138047797408665600 cubed (138047797408665600³) is 2630803707482282560408268780898526084428988416000000
• 138047797408665600 is a perfect square number. Its square root is 371547840
• The cube root of 138047797408665600 is 516824.5802440441

Scales and comparisons

• 138,047,797,408,665,600 seconds is equal to 4,389,492,947 years, 37 weeks, 3 days, 16 hours.
• To count from 1 to 138,047,797,408,665,600 would take you about thirteen billion, one hundred sixty-eight million, four hundred seventy-eight thousand, eight hundred forty-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 138047797408665600 cubic inches would be around 43068.7 feet tall.

Recreational maths with 138047797408665600

• 138047797408665600 backwards is 006566804797740831
• The number of decimal digits it has is: 18
• The sum of 138047797408665600's digits is 81
• More coming soon!