138632313715032064

Names of 138632313715032064

• Cardinal: 138632313715032064 can be written as One hundred thirty-eight quadrillion, six hundred thirty-two trillion, three hundred thirteen billion, seven hundred fifteen million, thirty-two thousand and sixty-four.

Scientific notation

• Scientific notation: 1.38632313715032064 × 10¹⁷

Factors of 138632313715032064

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 28
• Sum of prime factors: 122

Divisors of 138632313715032064

• Number of divisors d(n): 880
• Complete list of divisors:
  1 2 4 8 16 19 23 31 32 38 46 47 62 64 76 92 94 124 128 152 184 188 248 256 304 368 376 437 496 512 589 608 713 736 752 874 893 992 1024 1081 1178 1216 1426 1457 1472 1504 1748 1786 1984 2048 2162 2209 2356 2432 2852 2914 2944 3008 3496 3572 3968 4096 4324 4418 4712 4864 5704 5828 5888 6016 6992 7144 7936 8192 8648 8836 9424 9728 11408 11656 11776 12032 13547 13984 14288 15872 16384 17296 17672 18848 19456 20539 22816 23312 23552 24064 27094 27683 27968 28576 31744 32768 33511 34592 35344 37696 38912 41078 41971 45632 46624 47104 48128 50807 54188 55366 55936 57152 63488 65536 67022 68479 69184 70688 75392 77824 82156 83942 91264 93248 94208 96256 101614 103823 108376 110732 111872 114304 126976 131072 134044 136958 138368 141376 150784 155648 164312 167884 182528 186496 188416 192512 203228 207646 216752 221464 223744 228608 253952 262144 268088 273916 276736 282752 301568 311296 328624 335768 365056 372992 376832 385024 406456 415292 433504 442928 447488 457216 507904 524288 536176 547832 553472 565504 603136 622592 636709 657248 671536 730112 745984 753664 770048 812912 830584 867008 885856 894976 914432 965333 1015808 1048576 1072352 1095664 1106944 1131008 1206272 1245184 1273418 1301101 1314496 1343072 1460224 1491968 1507328 1540096 1575017 1625824 1661168 1734016 1771712 1789952 1828864 1930666 1972637 2031616 2097152 2144704 2191328 2213888 2262016 2387929 2412544 2490368 2546836 2602202 2628992 2686144 2920448 2983936 3014656 3080192 3150034 3218513 3251648 3322336 3468032 3543424 3579904 3657728 3861332 3945274 4063232 4289408 4382656 4427776 4524032 4775858 4825088 4879681 4980736 5093672 5204404 5257984 5372288 5840896 5967872 6029312 6160384 6300068 6437026 6503296 6644672 6936064 7086848 7159808 7315456 7722664 7890548 8126464 8578816 8765312 8855552 9048064 9551716 9650176 9759362 9961472 10187344 10408808 10515968 10744576 11681792 11935744 12058624 12320768 12600136 12874052 13006592 13289344 13872128 14173696 14319616 14630912 15445328 15781096 16252928 17157632 17530624 17711104 18096128 19103432 19300352 19518724 19922944 20374688 20817616 21031936 21489152 23363584 23871488 24117248 24641536 25200272 25748104 26013184 26578688 27744256 28347392 28639232 29261824 29925323 30890656 31562192 32505856 34315264 35061248 35422208 36192256 38206864 38600704 39037448 39845888 40749376 41635232 42063872 42978304 45370651 46727168 47742976 48234496 49283072 50400544 51496208 52026368 53157376 55488512 56694784 57278464 58523648 59850646 61151747 61781312 63124384 65011712 68630528 70122496 70844416 72384512 74025799 76413728 77201408 78074896 81498752 83270464 84127744 85956608 90741302 92713939 93454336 95485952 98566144 100801088 102992416 104052736 106314752 110977024 112232663 113389568 114556928 117047296 119701292 122303494 123562624 126248768 137261056 140244992 141688832 144769024 148051598 151270111 152827456 154402816 156149792 162997504 166540928 168255488 171913216 181482604 185427878 186908672 190971904 201602176 205984832 208105472 212629504 221954048 224465326 226779136 229113856 234094592 239402584 244606988 247125248 252497536 274522112 280489984 283377664 289538048 296103196 302540222 305654912 308805632 312299584 325995008 333081856 336510976 343826432 362965208 370855756 373817344 381943808 403204352 411969664 416210944 425259008 443908096 448930652 453558272 458227712 468189184 478805168 489213976 494250496 504995072 549044224 560979968 566755328 579076096 592206392 605080444 611309824 617611264 624599168 651990016 666163712 673021952 687652864 725930416 741711512 747634688 763887616 806408704 823939328 832421888 850518016 887816192 897861304 907116544 916455424 936378368 957610336 978427952 988500992 1009990144 1098088448 1121959936 1133510656 1158152192 1184412784 1210160888 1222619648 1235222528 1249198336 1303980032 1332327424 1346043904 1375305728 1406490181 1451860832 1483423024 1495269376 1527775232 1612817408 1647878656 1664843776 1701036032 1775632384 1795722608 1814233088 1872756736 1915220672 1956855904 1977001984 2019980288 2132420597 2196176896 2243919872 2267021312 2316304384 2368825568 2420321776 2445239296 2498396672 2607960064 2664654848 2692087808 2750611456 2812980362 2874132109 2903721664 2966846048 3055550464 3225634816 3295757312 3329687552 3402072064 3479212553 3551264768 3591445216 3628466176 3830441344 3913711808 3954003968 4039960576 4264841194 4392353792 4487839744 4632608768 4737651136 4840643552 4890478592 4996793344 5215920128 5329309696 5384175616 5501222912 5625960724 5748264218 5807443328 5933692096 6451269632 6591514624 6659375104 6804144128 6958425106 7102529536 7182890432 7256932352 7660882688 7827423616 7908007936 8079921152 8529682388 8784707584 8975679488 9475302272 9681287104 9780957184 9993586688 10431840256 10658619392 10768351232 11002445824 11251921448 11496528436 11614886656 11867384192 12902539264 13183029248 13318750208 13608288256 13916850212 14205059072 14365780864 14513864704 15321765376 15654847232 15816015872 16159842304 17059364776 17569415168 17951358976 18950604544 19362574208 19561914368 19987173376 20863680512 21317238784 21536702464 22004891648 22503842896 22993056872 23229773312 23734768384 25805078528 26366058496 26637500416 27216576512 27833700424 28410118144 28731561728 29027729408 30643530752 31309694464 31632031744 32319684608 34118729552 35138830336 35902717952 37901209088 38725148416 39123828736 39974346752 41727361024 42634477568 43073404928 44009783296 45007685792 45986113744 46459546624 47469536768 51610157056 52732116992 53275000832 54433153024 55667400848 57463123456 58055458816 61287061504 62619388928 63264063488 64639369216 66105038507 68237459104 70277660672 71805435904 75802418176 77450296832 78247657472 79948693504 83454722048 85268955136 88019566592 90015371584 91972227488 92919093248 94939073536 103220314112 105464233984 106550001664 108866306048 111334801696 114926246912 122574123008 125238777856 126528126976 129278738432 132210077014 136474918208 143610871808 151604836352 154900593664 156495314944 159897387008 166909444096 170537910272 180030743168 183944454976 185838186496 189878147072 206440628224 210928467968 217732612096 222669603392 229852493824 245148246016 250477555712 253056253952 258557476864 264420154028 272949836416 303209672704 309801187328 312990629888 319794774016 333818888192 341075820544 360061486336 367888909952 371676372992 379756294144 412881256448 421856935936 445339206784 459704987648 490296492032 500955111424 506112507904 517114953728 528840308056 545899672832 606419345408 619602374656 625981259776 639589548032 667637776384 682151641088 720122972672 735777819904 743352745984 759512588288 825762512896 843713871872 890678413568 919409975296 980592984064 1001910222848 1012225015808 1034229907456 1057680616112 1091799345664 1212838690816 1239204749312 1251962519552 1279179096064 1335275552768 1364303282176 1440245945344 1471555639808 1486705491968 1519025176576 1651525025792 1687427743744 1781356827136 1838819950592 1961185968128 2003820445696 2024450031616 2068459814912 2115361232224 2183598691328 2425677381632 2478409498624 2503925039104 2558358192128 2728606564352 2880491890688 2943111279616 2973410983936 3038050353152 3303050051584 3374855487488 3562713654272 3677639901184 3922371936256 4007640891392 4136919629824 4230722464448 4367197382656 4851354763264 4956818997248 5007850078208 5116716384256 5760983781376 5886222559232 5946821967872 6076100706304 6749710974976 7125427308544 7355279802368 7844743872512 8015281782784 8461444928896 8734394765312 9702709526528 9913637994496 10233432768512 11521967562752 11772445118464 11893643935744 12152201412608 14250854617088 14710559604736 15689487745024 16030563565568 16922889857792 17468789530624 19405419053056 19827275988992 23043935125504 23544890236928 23787287871488 24304402825216 28501709234176 29421119209472 31378975490048 32061127131136 33845779715584 34937579061248 38810838106112 39654551977984 46087870251008 47089780473856 47574575742976 48608805650432 57003418468352 58842238418944 62757950980096 64122254262272 67691559431168 69875158122496 77621676212224 79309103955968 92175740502016 94179560947712 95149151485952 97217611300864 114006836936704 117684476837888 128244508524544 135383118862336 139750316244992 155243352424448 158618207911936 184351481004032 188359121895424 194435222601728 228013673873408 235368953675776 270766237724672 279500632489984 317236415823872 368702962008064 376718243790848 456027347746816 541532475449344 559001264979968 737405924016128 753436487581696 912054695493632 1083064950898688 1118002529959936 1474811848032256 1506872975163392 1824109390987264 2166129901797376 2236005059919872 2949623696064512 3013745950326784 3648218781974528 4332259803594752 4472010119839744 6027491900653568 7296437563949056 8664519607189504 17329039214379008 34658078428758016 69316156857516032 138632313715032064
• Sum of all divisors σ(n): 321205130028794880
• Sum of proper divisors (its aliquot sum) s(n): 182572816313762816
• 138632313715032064 is an abundant number, because the sum of its proper divisors (182572816313762816) is greater than itself. Its abundance is 43940502598730752

Bases of 138632313715032064

• Binary: 111101100100001010101101011010101011000000000000000000000₂
• Hexadecimal: 0x1EC855AD5600000
• Base-36: 11X11XPPNT34

Squares and roots of 138632313715032064

• 138632313715032064 squared (138632313715032064²) is 19218918405983067314238916548100096
• 138632313715032064 cubed (138632313715032064³) is 2664363125721848556285301406428281152513814921478144
• The square root of 138632313715032064 is 372333605.4065386991
• The cube root of 138632313715032064 is 517552.9922660921

Scales and comparisons

• 138,632,313,715,032,064 seconds is equal to 4,408,078,758 years, 12 weeks, 2 days, 1 hour, 21 minutes, 4 seconds.
• To count from 1 to 138,632,313,715,032,064 would take you about thirteen billion, two hundred twenty-four million, two hundred thirty-six thousand, two hundred seventy-four 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 138632313715032064 cubic inches would be around 43129.4 feet tall.

Recreational maths with 138632313715032064

• 138632313715032064 backwards is 460230517313236831
• The number of decimal digits it has is: 18
• The sum of 138632313715032064's digits is 58
• More coming soon!