138754775148134400
138,754,775,148,134,400 is an even composite number composed of four prime numbers multiplied together.
138754775148134400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138754775148134400:
219 × 33 × 52 × 198012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 19801 × 19801)See below for interesting mathematical facts about the number 138754775148134400 from the Numbermatics database.
Names of 138754775148134400
- Cardinal: 138754775148134400 can be written as One hundred thirty-eight quadrillion, seven hundred fifty-four trillion, seven hundred seventy-five billion, one hundred forty-eight million, one hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.387547751481344 × 1017
Factors of 138754775148134400
Divisors of 138754775148134400
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 128 135 144 150 160 180 192 200 216 225 240 256 270 288 300 320 360 384 400 432 450 480 512 540 576 600 640 675 720 768 800 864 900 960 1024 1080 1152 1200 1280 1350 1440 1536 1600 1728 1800 1920 2048 2160 2304 2400 2560 2700 2880 3072 3200 3456 3600 3840 4096 4320 4608 4800 5120 5400 5760 6144 6400 6912 7200 7680 8192 8640 9216 9600 10240 10800 11520 12288 12800 13824 14400 15360 16384 17280 18432 19200 19801 20480 21600 23040 24576 25600 27648 28800 30720 32768 34560 36864 38400 39602 40960 43200 46080 49152 51200 55296 57600 59403 61440 65536 69120 73728 76800 79204 81920 86400 92160 98304 99005 102400 110592 115200 118806 122880 131072 138240 147456 153600 158408 163840 172800 178209 184320 196608 198010 204800 221184 230400 237612 245760 262144 276480 294912 297015 307200 316816 327680 345600 356418 368640 393216 396020 409600 442368 460800 475224 491520 495025 524288 534627 552960 589824 594030 614400 633632 655360 691200 712836 737280 786432 792040 819200 884736 891045 921600 950448 983040 990050 1069254 1105920 1179648 1188060 1228800 1267264 1310720 1382400 1425672 1474560 1485075 1572864 1584080 1638400 1769472 1782090 1843200 1900896 1966080 1980100 2138508 2211840 2359296 2376120 2457600 2534528 2621440 2673135 2764800 2851344 2949120 2970150 3168160 3276800 3538944 3564180 3686400 3801792 3932160 3960200 4277016 4423680 4455225 4718592 4752240 4915200 5069056 5346270 5529600 5702688 5898240 5940300 6336320 6553600 7077888 7128360 7372800 7603584 7864320 7920400 8554032 8847360 8910450 9504480 9830400 10138112 10692540 11059200 11405376 11796480 11880600 12672640 13107200 13365675 14155776 14256720 14745600 15207168 15840800 17108064 17694720 17820900 19008960 19660800 20276224 21385080 22118400 22810752 23592960 23761200 25345280 26731350 28513440 29491200 30414336 31681600 34216128 35389440 35641800 38017920 39321600 40552448 42770160 44236800 45621504 47522400 50690560 53462700 57026880 58982400 60828672 63363200 68432256 70778880 71283600 76035840 81104896 85540320 88473600 91243008 95044800 101381120 106925400 114053760 117964800 121657344 126726400 136864512 142567200 152071680 162209792 171080640 176947200 182486016 190089600 202762240 213850800 228107520 243314688 253452800 273729024 285134400 304143360 324419584 342161280 353894400 364972032 380179200 392079601 405524480 427701600 456215040 486629376 506905600 547458048 570268800 608286720 648839168 684322560 729944064 760358400 784159202 811048960 855403200 912430080 973258752 1013811200 1094916096 1140537600 1176238803 1216573440 1297678336 1368645120 1459888128 1520716800 1568318404 1622097920 1710806400 1824860160 1946517504 1960398005 2027622400 2189832192 2281075200 2352477606 2433146880 2595356672 2737290240 2919776256 3041433600 3136636808 3244195840 3421612800 3528716409 3649720320 3893035008 3920796010 4055244800 4379664384 4562150400 4704955212 4866293760 5190713344 5474580480 5839552512 5881194015 6082867200 6273273616 6488391680 6843225600 7057432818 7299440640 7786070016 7841592020 8110489600 8759328768 9124300800 9409910424 9732587520 9801990025 10381426688 10586149227 10949160960 11679105024 11762388030 12165734400 12546547232 12976783360 13686451200 14114865636 14598881280 15572140032 15683184040 16220979200 17518657536 17643582045 18248601600 18819820848 19465175040 19603980050 21172298454 21898321920 23358210048 23524776060 24331468800 25093094464 25953566720 27372902400 28229731272 29197762560 29405970075 31144280064 31366368080 32441958400 35037315072 35287164090 36497203200 37639641696 38930350080 39207960100 42344596908 43796643840 46716420096 47049552120 48662937600 50186188928 51907133440 52930746135 54745804800 56459462544 58395525120 58811940150 62732736160 64883916800 70074630144 70574328180 72994406400 75279283392 77860700160 78415920200 84689193816 87593287680 88217910225 93432840192 94099104240 97325875200 100372377856 105861492270 109491609600 112918925088 116791050240 117623880300 125465472320 129767833600 140149260288 141148656360 145988812800 150558566784 155721400320 156831840400 169378387632 175186575360 176435820450 188198208480 194651750400 200744755712 211722984540 218983219200 225837850176 233582100480 235247760600 250930944640 259535667200 264653730675 280298520576 282297312720 291977625600 301117133568 313663680800 338756775264 350373150720 352871640900 376396416960 389303500800 401489511424 423445969080 437966438400 451675700352 467164200960 470495521200 501861889280 529307461350 564594625440 583955251200 602234267136 627327361600 677513550528 700746301440 705743281800 752792833920 778607001600 802979022848 846891938160 875932876800 903351400704 940991042400 1003723778560 1058614922700 1129189250880 1167910502400 1204468534272 1254654723200 1355027101056 1401492602880 1411486563600 1505585667840 1605958045696 1693783876320 1751865753600 1806702801408 1881982084800 2007447557120 2117229845400 2258378501760 2335821004800 2408937068544 2509309446400 2710054202112 2822973127200 3011171335680 3211916091392 3387567752640 3503731507200 3613405602816 3763964169600 4014895114240 4234459690800 4516757003520 4817874137088 5018618892800 5420108404224 5645946254400 6022342671360 6423832182784 6775135505280 7007463014400 7226811205632 7527928339200 8029790228480 8468919381600 9033514007040 9635748274176 10037237785600 10840216808448 11291892508800 12044685342720 12847664365568 13550271010560 14453622411264 15055856678400 16059580456960 16937838763200 18067028014080 19271496548352 20074475571200 21680433616896 22583785017600 24089370685440 25695328731136 27100542021120 28907244822528 30111713356800 32119160913920 33875677526400 36134056028160 38542993096704 40148951142400 43360867233792 45167570035200 48178741370880 51390657462272 54201084042240 57814489645056 60223426713600 64238321827840 67751355052800 72268112056320 77085986193408 80297902284800 86721734467584 90335140070400 96357482741760 102781314924544 108402168084480 115628979290112 120446853427200 128476643655680 135502710105600 144536224112640 154171972386816 160595804569600 173443468935168 180670280140800 192714965483520 205562629849088 216804336168960 231257958580224 240893706854400 256953287311360 271005420211200 289072448225280 308343944773632 321191609139200 346886937870336 361340560281600 385429930967040 433608672337920 462515917160448 481787413708800 513906574622720 542010840422400 578144896450560 616687889547264 642383218278400 693773875740672 722681120563200 770859861934080 867217344675840 925031834320896 963574827417600 1027813149245440 1084021680844800 1156289792901120 1284766436556800 1387547751481344 1445362241126400 1541719723868160 1734434689351680 1850063668641792 1927149654835200 2168043361689600 2312579585802240 2569532873113600 2775095502962688 2890724482252800 3083439447736320 3468869378703360 3854299309670400 4336086723379200 4625159171604480 5139065746227200 5550191005925376 5781448964505600 6937738757406720 7708598619340800 8672173446758400 9250318343208960 11562897929011200 13875477514813440 15417197238681600 17344346893516800 23125795858022400 27750955029626880 34688693787033600 46251591716044800 69377387574067200 138754775148134400
- Sum of all divisors σ(n): 509820583060899000
- Sum of proper divisors (its aliquot sum) s(n): 371065807912764600
- 138754775148134400 is an abundant number, because the sum of its proper divisors (371065807912764600) is greater than itself. Its abundance is 232311032764630200
Bases of 138754775148134400
- Binary: 1111011001111010010111011100110111001100000000000000000002
- Hexadecimal: 0x1ECF4BB9B980000
- Base-36: 11Y8GNPX2IO0
Squares and roots of 138754775148134400
- 138754775148134400 squared (1387547751481344002) is 19252887626409335705463800463360000
- 138754775148134400 cubed (1387547751481344003) is 2671430093554726390516667003065869347359555584000000
-
The
square root of 138754775148134400 is 372498020.3278057691 -
The
cube root of 138754775148134400 is 517705.3416142409
Scales and comparisons
How big is 138754775148134400?- 138,754,775,148,134,400 seconds is equal to 4,411,972,653 years, 4 days.
-
To count from 1 to 138,754,775,148,134,400 would take you about thirteen billion, two hundred thirty-five million, nine hundred seventeen thousand, nine hundred fifty-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 138754775148134400 cubic inches would be around 43142.1 feet tall.
Recreational maths with 138754775148134400
- 138754775148134400 backwards is 004431841577457831
- 138754775148134400 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138754775148134400's digits is 72
- More coming soon!
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The information we have on file for 138754775148134400 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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