1338667903904099328
1,338,667,903,904,099,328 is an even composite number composed of six prime numbers multiplied together.
1338667903904099328 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred four divisors.
Prime factorization of 1338667903904099328:
210 × 33 × 7 × 29 × 1399 × 170488613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 29 × 1399 × 170488613)See below for interesting mathematical facts about the number 1338667903904099328 from the Numbermatics database.
Names of 1338667903904099328
- Cardinal: 1338667903904099328 can be written as One quintillion, three hundred thirty-eight quadrillion, six hundred sixty-seven trillion, nine hundred three billion, nine hundred four million, ninety-nine thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.338667903904099328 × 1018
Factors of 1338667903904099328
Divisors of 1338667903904099328
- Number of divisors d(n): 704
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 32 36 42 48 54 56 58 63 64 72 84 87 96 108 112 116 126 128 144 168 174 189 192 203 216 224 232 252 256 261 288 336 348 378 384 406 432 448 464 504 512 522 576 609 672 696 756 768 783 812 864 896 928 1008 1024 1044 1152 1218 1344 1392 1399 1512 1536 1566 1624 1728 1792 1827 1856 2016 2088 2304 2436 2688 2784 2798 3024 3072 3132 3248 3456 3584 3654 3712 4032 4176 4197 4608 4872 5376 5481 5568 5596 6048 6264 6496 6912 7168 7308 7424 8064 8352 8394 9216 9744 9793 10752 10962 11136 11192 12096 12528 12591 12992 13824 14616 14848 16128 16704 16788 19488 19586 21504 21924 22272 22384 24192 25056 25182 25984 27648 29232 29379 29696 32256 33408 33576 37773 38976 39172 40571 43848 44544 44768 48384 50112 50364 51968 58464 58758 64512 66816 67152 75546 77952 78344 81142 87696 88137 89088 89536 96768 100224 100728 103936 116928 117516 121713 133632 134304 151092 155904 156688 162284 175392 176274 179072 193536 200448 201456 207872 233856 235032 243426 264411 267264 268608 283997 302184 311808 313376 324568 350784 352548 358144 365139 400896 402912 467712 470064 486852 528822 537216 567994 604368 623616 626752 649136 701568 705096 716288 730278 801792 805824 851991 935424 940128 973704 1057644 1074432 1095417 1135988 1208736 1253504 1298272 1403136 1410192 1432576 1460556 1611648 1703982 1870848 1880256 1947408 2115288 2148864 2190834 2271976 2417472 2507008 2555973 2596544 2806272 2820384 2921112 3223296 3407964 3760512 3894816 4230576 4297728 4381668 4543952 4834944 5014016 5111946 5193088 5612544 5640768 5842224 6446592 6815928 7521024 7667919 7789632 8461152 8763336 9087904 9669888 10028032 10223892 10386176 11281536 11684448 12893184 13631856 15042048 15335838 15579264 16922304 17526672 18175808 19339776 20447784 20772352 22563072 23368896 27263712 30084096 30671676 31158528 33844608 35053344 36351616 38679552 40895568 41544704 45126144 46737792 54527424 61343352 62317056 67689216 70106688 72703232 81791136 90252288 93475584 109054848 122686704 124634112 135378432 140213376 145406464 163582272 170488613 186951168 218109696 245373408 270756864 280426752 290812928 327164544 340977226 373902336 436219392 490746816 511465839 560853504 654329088 681954452 872438784 981493632 1022931678 1121707008 1193420291 1308658176 1363908904 1534397517 1962987264 2045863356 2386840582 2617316352 2727817808 3068795034 3580260873 3925974528 4091726712 4603192551 4773681164 4944169777 5455635616 6137590068 7160521746 7851949056 8183453424 9206385102 9547362328 9888339554 10740782619 10911271232 12275180136 14321043492 14832509331 16366906848 18412770204 19094724656 19776679108 21481565238 21822542464 24550360272 28642086984 29665018662 32222347857 32733813696 34609188439 36825540408 38189449312 39553358216 42963130476 43645084928 44497527993 49100720544 57284173968 59330037324 64444695714 65467627392 69218376878 73651080816 76378898624 79106716432 85926260952 87290169856 88995055986 98201441088 103827565317 114568347936 118660074648 128889391428 130935254784 133492583979 138436753756 147302161632 152757797248 158213432864 171852521904 174580339712 177990111972 196402882176 207655130634 229136695872 237320149296 238513569587 257778782856 261870509568 266985167958 276873507512 294604323264 305515594496 311482695951 316426865728 343705043808 355980223944 392805764352 415310261268 458273391744 474640298592 477027139174 515557565712 523741019136 533970335916 553747015024 589208646528 611031188992 622965391902 632853731456 687410087616 711960447888 715540708761 785611528704 830620522536 916546783488 934448087853 949280597184 954054278348 1031115131424 1067940671832 1107494030048 1178417293056 1222062377984 1245930783804 1265707462912 1374820175232 1423920895776 1431081417522 1571223057408 1661241045072 1669594987109 1833093566976 1868896175706 1898561194368 1908108556696 2062230262848 2135881343664 2146622126283 2214988060096 2356834586112 2491861567608 2531414925824 2749640350464 2847841791552 2862162835044 3322482090144 3339189974218 3666187133952 3737792351412 3797122388736 3816217113392 4124460525696 4271762687328 4293244252566 4429976120192 4713669172224 4983723135216 5008784961327 5062829851648 5499280700928 5695683583104 5724325670088 6439866378849 6644964180288 6678379948436 6916893518023 7475584702824 7594244777472 7632434226784 8248921051392 8543525374656 8586488505132 8859952240384 9967446270432 10017569922654 10998561401856 11391367166208 11448651340176 12879732757698 13289928360576 13356759896872 13833787036046 14951169405648 15026354883981 15188489554944 15264868453568 16497842102784 17087050749312 17172977010264 17719904480768 19934892540864 20035139845308 20750680554069 22782734332416 22897302680352 25759465515396 26579856721152 26713519793744 27667574072092 29902338811296 30052709767962 30529736907136 32995684205568 34174101498624 34345954020528 35439808961536 39869785081728 40070279690616 41501361108138 45079064651943 45565468664832 45794605360704 48418254626161 51518931030792 53159713442304 53427039587488 55335148144184 59804677622592 60105419535924 61059473814272 62252041662207 68348202997248 68691908041056 79739570163456 80140559381232 83002722216276 90158129303886 91589210721408 96836509252322 103037862061584 106319426884608 106854079174976 110670296288368 119609355245184 120210839071848 122118947628544 124504083324414 136696405994496 137383816082112 145254763878483 159479140326912 160281118762464 166005444432552 180316258607772 183178421442816 186756124986621 193673018504644 206075724123168 213708158349952 221340592576736 239218710490368 240421678143696 244237895257088 249008166648828 274767632164224 290509527756966 318958280653824 320562237524928 332010888865104 360632517215544 366356842885632 373512249973242 387346037009288 412151448246336 427416316699904 435764291635449 442681185153472 478437420980736 480843356287392 498016333297656 549535264328448 581019055513932 641124475049856 664021777730208 721265034431088 732713685771264 747024499946484 774692074018576 824302896492672 854832633399808 871528583270898 885362370306944 956874841961472 961686712574784 996032666595312 1099070528656896 1162038111027864 1282248950099712 1307292874906347 1328043555460416 1442530068862176 1494048999892968 1549384148037152 1648605792985344 1709665266799616 1743057166541796 1770724740613888 1923373425149568 1992065333190624 2198141057313792 2324076222055728 2564497900199424 2614585749812694 2656087110920832 2885060137724352 2988097999785936 3098768296074304 3297211585970688 3486114333083592 3541449481227776 3846746850299136 3984130666381248 4648152444111456 5128995800398848 5229171499625388 5312174221841664 5770120275448704 5976195999571872 6197536592148608 6594423171941376 6972228666167184 7082898962455552 7693493700598272 7968261332762496 9296304888222912 10458342999250776 10624348443683328 11540240550897408 11952391999143744 12395073184297216 13944457332334368 15386987401196544 15936522665524992 18592609776445824 20916685998501552 21248696887366656 23080481101794816 23904783998287488 24790146368594432 27888914664668736 31873045331049984 37185219552891648 41833371997003104 46160962203589632 47809567996574976 49580292737188864 55777829329337472 63746090662099968 74370439105783296 83666743994006208 95619135993149952 111555658658674944 148740878211566592 167333487988012416 191238271986299904 223111317317349888 334666975976024832 446222634634699776 669333951952049664 1338667903904099328
- Sum of all divisors σ(n): 4690428192011520000
- Sum of proper divisors (its aliquot sum) s(n): 3351760288107420672
- 1338667903904099328 is an abundant number, because the sum of its proper divisors (3351760288107420672) is greater than itself. Its abundance is 2013092384203321344
Bases of 1338667903904099328
- Binary: 10010100100111110011101011101101101000110101110101100000000002
- Hexadecimal: 0x1293E75DB46BAC00
- Base-36: A652617VH1C0
Squares and roots of 1338667903904099328
- 1338667903904099328 squared (13386679039040993282) is 1792031756942994912852333962890051584
- 1338667903904099328 cubed (13386679039040993283) is 2398935395796459397734522689774918872595580926979735552
-
The
square root of 1338667903904099328 is 1157008169.3333454279 -
The
cube root of 1338667903904099328 is 1102108.3266930393
Scales and comparisons
How big is 1338667903904099328?- 1,338,667,903,904,099,328 seconds is equal to 42,565,498,572 years, 23 weeks, 2 days, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 1,338,667,903,904,099,328 would take you about one hundred forty-eight billion, nine hundred seventy-nine million, two hundred forty-five thousand and 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 1338667903904099328 cubic inches would be around 91842.4 feet tall.
Recreational maths with 1338667903904099328
- 1338667903904099328 backwards is 8239904093097668331
- The number of decimal digits it has is: 19
- The sum of 1338667903904099328's digits is 90
- More coming soon!
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The information we have on file for 1338667903904099328 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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