48376982857728
48,376,982,857,728 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48376982857728 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
48376982857728 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 48376982857728:
211 × 3 × 7 × 172 × 19 × 127 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 17 × 17 × 19 × 127 × 1613)See below for interesting mathematical facts about the number 48376982857728 from the Numbermatics database.
Names of 48376982857728
- Cardinal: 48376982857728 can be written as Forty-eight trillion, three hundred seventy-six billion, nine hundred eighty-two million, eight hundred fifty-seven thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 4.8376982857728 × 1013
Factors of 48376982857728
Divisors of 48376982857728
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 19 21 24 28 32 34 38 42 48 51 56 57 64 68 76 84 96 102 112 114 119 127 128 133 136 152 168 192 204 224 228 238 254 256 266 272 289 304 323 336 357 381 384 399 408 448 456 476 508 512 532 544 578 608 646 672 714 762 768 798 816 867 889 896 912 952 969 1016 1024 1064 1088 1156 1216 1292 1344 1428 1524 1536 1596 1613 1632 1734 1778 1792 1824 1904 1938 2023 2032 2048 2128 2159 2176 2261 2312 2413 2432 2584 2667 2688 2856 3048 3072 3192 3226 3264 3468 3556 3584 3648 3808 3876 4046 4064 4256 4318 4352 4522 4624 4826 4839 4864 5168 5334 5376 5491 5712 6069 6096 6144 6384 6452 6477 6528 6783 6936 7112 7168 7239 7296 7616 7752 8092 8128 8512 8636 8704 9044 9248 9652 9678 9728 10336 10668 10752 10982 11291 11424 12138 12192 12768 12904 12954 13056 13566 13872 14224 14336 14478 14592 15113 15232 15504 16184 16256 16473 16891 17024 17272 17408 18088 18496 19304 19356 19456 20672 21336 21504 21964 22582 22848 24276 24384 25536 25808 25908 26112 27132 27421 27744 28448 28956 29184 30226 30464 30647 31008 32368 32512 32946 33782 33873 34048 34544 34816 36176 36703 36992 38437 38608 38712 38912 41021 41344 42672 43008 43928 45164 45339 45696 48552 48768 50673 51072 51616 51816 52224 54264 54842 55488 56896 57912 58368 60452 60928 61294 62016 64736 65024 65892 67564 67746 68096 69088 72352 73406 73984 76874 77216 77424 82042 82263 82688 85344 87856 90328 90678 91392 91941 97104 97536 101346 102144 103232 103632 104448 108528 109684 110109 110976 113792 115311 115824 116736 120904 121856 122588 123063 124032 129472 130048 131784 135128 135492 136192 138176 144704 146812 147968 153748 154432 154848 164084 164526 165376 170688 175712 180656 181356 182784 183882 191947 194208 195072 202692 204288 204851 206464 207264 214529 217056 219368 220218 221952 227584 230622 231648 241808 243712 245176 246126 248064 256921 258944 260096 263568 270256 270984 272384 276352 287147 289408 293624 295936 307496 308864 309696 328168 329052 330752 341376 351424 361312 362712 365568 367764 383894 388416 390144 405384 408576 409702 412928 414528 429058 434112 438736 440436 443904 455168 461244 463296 466157 483616 490352 492252 496128 513842 517888 520999 527136 540512 541968 552704 574294 575841 578816 587248 591872 614553 614992 617728 619392 643587 656336 658104 661504 682752 697357 702848 722624 725424 731136 735528 767788 770763 776832 780288 810768 817152 819404 825856 829056 858116 861441 868224 877472 880872 887808 910336 922488 926592 932314 967232 980704 984504 992256 1027684 1035776 1041998 1054272 1081024 1083936 1105408 1148588 1151682 1157632 1174496 1229106 1229984 1235456 1238784 1287174 1312672 1316208 1365504 1394714 1398471 1405696 1433957 1445248 1450848 1471056 1535576 1541526 1553664 1562997 1621536 1638808 1651712 1658112 1716232 1722882 1736448 1754944 1761744 1775616 1820672 1844976 1853184 1864628 1934464 1961408 1969008 1984512 2055368 2071552 2083996 2092071 2108544 2162048 2167872 2210816 2297176 2303364 2315264 2348992 2458212 2459968 2470912 2477568 2574348 2625344 2632416 2731008 2789428 2796942 2811392 2867914 2890496 2901696 2942112 3071152 3083052 3107328 3125994 3243072 3263099 3277616 3303424 3316224 3432464 3445764 3472896 3482467 3509888 3523488 3646993 3689952 3706368 3729256 3868928 3892169 3922816 3938016 4110736 4143104 4167992 4184142 4217088 4301871 4324096 4335744 4421632 4594352 4606728 4630528 4697984 4881499 4916424 4919936 4941824 4955136 5148696 5250688 5264832 5462016 5578856 5593884 5622784 5735828 5780992 5803392 5884224 6142304 6166104 6214656 6251988 6486144 6526198 6555232 6632448 6864928 6891528 6945792 6964934 7019776 7046976 7293986 7379904 7412736 7458512 7737856 7784338 7845632 7876032 8221472 8335984 8368284 8434176 8603742 8648192 8671488 8856983 9188704 9213456 9395968 9762998 9789297 9832848 9839872 9910272 10297392 10447401 10501376 10529664 10940979 11157712 11187768 11245568 11471656 11561984 11606784 11676507 11768448 12284608 12332208 12429312 12503976 12972288 13052396 13110464 13264896 13729856 13783056 13891584 13929868 14039552 14093952 14587972 14644497 14759808 14825472 14917024 15475712 15568676 15691264 15752064 16442944 16671968 16736568 16868352 17207484 17296384 17342976 17713966 18377408 18426912 18791936 19525996 19578594 19665696 19679744 20594784 20894802 21002752 21059328 21881958 22315424 22375536 22943312 23123968 23213568 23353014 23536896 24377269 24569216 24664416 25007952 25944576 26104792 26220928 26570949 27245183 27459712 27566112 27859736 28079104 28187904 29175944 29288994 29519616 29834048 30951424 31137352 31382528 31504128 32885888 33343936 33473136 33736704 34414968 34592768 34685952 35427932 36754816 36853824 37583872 39051992 39157188 39331392 39359488 41189568 41789604 42005504 42118656 43763916 44630848 44751072 45886624 46427136 46706028 47073792 48754538 49138432 49328832 50015904 51889152 52209584 52441856 53141898 54490366 54919424 55132224 55719472 56158208 56375808 58351888 58577988 59039232 59201939 59668096 61998881 62274704 62765056 63008256 65771776 66166873 66687872 66946272 68829936 69371904 70855864 73131807 73509632 73707648 75167744 78103984 78314376 78662784 78718976 81735549 82379136 83579208 84011008 84237312 87527832 89261696 89502144 91773248 92854272 93412056 94147584 97509076 98276864 98657664 100031808 103778304 104419168 104883712 106283796 108980732 109838848 110264448 111438944 112751616 116703776 117155976 118078464 118403878 119336192 123997762 124549408 126016512 131543552 132333746 133375744 133892544 137659872 141711728 146263614 147019264 147415296 156207968 156628752 157325568 163471098 164758272 167158416 168474624 175055664 177605817 178523392 179004288 183546496 185996643 186824112 188295168 195018152 196553728 197315328 198500619 200063616 208838336 209767424 212567592 217961464 219677696 220528896 222877888 225503232 233407552 234311952 236156928 236807756 238672384 247995524 249098816 252033024 263087104 264667492 266751488 267785088 275319744 283423456 292527228 294038528 294830592 312415936 313257504 314651136 326942196 329516544 334316832 350111328 355211634 357046784 358008576 367092992 371993286 373648224 390036304 393107456 394630656 397001238 400127232 414413573 417676672 419534848 425135184 435922928 439355392 441057792 445755776 463168111 466815104 468623904 473615512 477344768 495991048 498197632 526174208 529334984 533502976 535570176 550639488 566846912 585054456 588077056 589661184 624831872 626515008 629302272 653884392 659033088 668633664 700222656 710423268 714093568 716017152 734185984 743986572 747296448 780072608 789261312 794002476 800254464 828827146 835353344 850270368 871845856 882115584 891511552 926336222 933630208 937247808 947231024 954689536 991982096 996395264 1058669968 1067005952 1071140352 1101278976 1124836841 1133693824 1170108912 1179322368 1243240719 1249663744 1253030016 1258604544 1307768784 1318066176 1337267328 1389504333 1400445312 1420846536 1428187136 1432034304 1468371968 1487973144 1494592896 1560145216 1578522624 1588004952 1600508928 1657654292 1670706688 1700540736 1743691712 1764231168 1783023104 1852672444 1867260416 1874495616 1894462048 1983964192 1992790528 2117339936 2142280704 2202557952 2249673682 2267387648 2340217824 2486481438 2499327488 2506060032 2615537568 2674534656 2779008666 2800890624 2841693072 2864068608 2936743936 2975946288 2989185792 3120290432 3176009904 3201017856 3315308584 3341413376 3374510523 3401081472 3487383424 3566046208 3705344888 3734520832 3748991232 3788924096 3967928384 3985581056 4234679872 4284561408 4405115904 4499347364 4534775296 4680435648 4972962876 4998654976 5012120064 5231075136 5349069312 5558017332 5601781248 5683386144 5951892576 5978371584 6240580864 6352019808 6630617168 6682826752 6749021046 6802162944 6974766848 7132092416 7410689776 7469041664 7497982464 7577848192 7873857887 7935856768 7971162112 8469359744 8810231808 8998694728 9069550592 9360871296 9945925752 9997309952 10024240128 10462150272 10698138624 11116034664 11203562496 11366772288 11903785152 11956743168 12481161728 12704039616 13261234336 13498042092 13604325888 13949533696 14821379552 14995964928 15155696384 15747715774 15871713536 16938719488 17997389456 18139101184 18721742592 19891851504 20048480256 20924300544 21396277248 22232069328 22407124992 22733544576 23621573661 23807570304 23913486336 24962323456 25408079232 26522468672 26996084184 27208651776 27899067392 29642759104 29991929856 30311392768 31495431548 31743427072 33877438976 35994778912 37443485184 39783703008 41848601088 44464138656 45467089152 47243147322 47615140608 49924646912 50816158464 53044937344 53992168368 54417303552 55798134784 59285518208 60622785536 62990863096 63486854144 67754877952 71989557824 74886970368 79567406016 83697202176 88928277312 90934178304 94486294644 95230281216 101632316928 106089874688 107984336736 118571036416 121245571072 125981726192 126973708288 135509755904 143979115648 149773940736 159134812032 167394404352 177856554624 181868356608 188972589288 190460562432 203264633856 212179749376 215968673472 237142072832 251963452384 287958231296 318269624064 355713109248 363736713216 377945178576 380921124864 406529267712 424359498752 431937346944 474284145664 503926904768 575916462592 636539248128 711426218496 755890357152 848718997504 863874693888 948568291328 1007853809536 1151832925184 1273078496256 1422852436992 1511780714304 1727749387776 2015707619072 2303665850368 2546156992512 2845704873984 3023561428608 3455498775552 4031415238144 6047122857216 6910997551104 8062830476288 12094245714432 16125660952576 24188491428864 48376982857728
- Sum of all divisors σ(n): 166220948275200
- Sum of proper divisors (its aliquot sum) s(n): 117843965417472
- 48376982857728 is an abundant number, because the sum of its proper divisors (117843965417472) is greater than itself. Its abundance is 69466982559744
Bases of 48376982857728
- Binary: 10101111111111101001001110000011101000000000002
- Hexadecimal: 0x2BFFA4E0E800
- Base-36: H5C2UJBPC
Squares and roots of 48376982857728
- 48376982857728 squared (483769828577282) is 2340332470416908769489321984
- 48376982857728 cubed (483769828577283) is 113218223802743017222981403848709454692352
-
The
square root of 48376982857728 is 6955356.4148595579 -
The
cube root of 48376982857728 is 36437.3059886463
Scales and comparisons
How big is 48376982857728?- 48,376,982,857,728 seconds is equal to 1,538,238 years, 21 weeks, 4 days, 1 hour, 48 minutes, 48 seconds.
-
To count from 1 to 48,376,982,857,728 would take you about three million, eight hundred forty-five thousand, five hundred ninety-six 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 48376982857728 cubic inches would be around 3036.4 feet tall.
Recreational maths with 48376982857728
- 48376982857728 backwards is 82775828967384
- 48376982857728 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48376982857728's digits is 84
- More coming soon!
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The information we have on file for 48376982857728 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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