48355433936928768
48,355,433,936,928,768 is an even composite number composed of five prime numbers multiplied together.
What does the number 48355433936928768 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 720 divisors.
48355433936928768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 48355433936928768:
214 × 3 × 13 × 232 × 5233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 23 × 23 × 523 × 523 × 523)See below for interesting mathematical facts about the number 48355433936928768 from the Numbermatics database.
Names of 48355433936928768
- Cardinal: 48355433936928768 can be written as Forty-eight quadrillion, three hundred fifty-five trillion, four hundred thirty-three billion, nine hundred thirty-six million, nine hundred twenty-eight thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 4.8355433936928768 × 1016
Factors of 48355433936928768
Divisors of 48355433936928768
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 128 138 156 184 192 208 256 276 299 312 368 384 416 512 523 529 552 598 624 736 768 832 897 1024 1046 1058 1104 1196 1248 1472 1536 1569 1587 1664 1794 2048 2092 2116 2208 2392 2496 2944 3072 3138 3174 3328 3588 4096 4184 4232 4416 4784 4992 5888 6144 6276 6348 6656 6799 6877 7176 8192 8368 8464 8832 9568 9984 11776 12029 12288 12552 12696 13312 13598 13754 14352 16384 16736 16928 17664 19136 19968 20397 20631 23552 24058 24576 25104 25392 26624 27196 27508 28704 33472 33856 35328 36087 38272 39936 40794 41262 47104 48116 49152 50208 50784 53248 54392 55016 57408 66944 67712 70656 72174 76544 79872 81588 82524 94208 96232 100416 101568 106496 108784 110032 114816 133888 135424 141312 144348 153088 156377 159744 163176 165048 188416 192464 200832 203136 212992 217568 220064 229632 267776 270848 273529 276667 282624 288696 306176 312754 319488 326352 330096 376832 384928 401664 406272 435136 440128 459264 469131 535552 541696 547058 553334 565248 577392 612352 625508 638976 652704 660192 769856 803328 812544 820587 830001 870272 880256 918528 938262 1071104 1083392 1094116 1106668 1130496 1154784 1224704 1251016 1305408 1320384 1539712 1606656 1625088 1641174 1660002 1740544 1760512 1837056 1876524 2142208 2166784 2188232 2213336 2309568 2449408 2502032 2610816 2640768 3079424 3213312 3250176 3282348 3320004 3481088 3521024 3555877 3596671 3674112 3753048 4284416 4333568 4376464 4426672 4619136 4898816 5004064 5221632 5281536 6158848 6291167 6426624 6500352 6564696 6640008 6962176 7042048 7111754 7193342 7348224 7506096 8568832 8667136 8752928 8853344 9238272 10008128 10443264 10563072 10667631 10790013 12317696 12582334 12853248 13000704 13129392 13280016 13924352 14084096 14223508 14386684 14696448 15012192 17505856 17706688 18476544 18873501 20016256 20886528 21126144 21335262 21580026 24635392 25164668 25706496 26001408 26258784 26560032 27848704 28168192 28447016 28773368 30024384 35011712 35413376 36953088 37747002 40032512 41773056 42252288 42670524 43160052 49270784 50329336 52517568 53120064 55697408 56336384 56894032 57546736 60048768 70023424 70826752 73906176 75494004 80065024 81785171 83546112 84504576 85341048 86320104 98541568 100658672 105035136 106240128 111394816 112672768 113788064 115093472 120097536 140046848 141653504 143055667 144696841 147812352 150988008 160130048 163570342 167092224 169009152 170682096 172640208 197083136 201317344 210070272 212480256 227576128 230186944 240195072 245355513 280093696 283307008 286111334 289393682 295624704 301976016 320260096 327140684 334184448 338018304 341364192 345280416 402634688 420140544 424960512 429167001 434090523 455152256 460373888 480390144 490711026 560187392 566614016 572222668 578787364 591249408 603952032 640520192 654281368 682728384 690560832 805269376 840281088 849921024 858334002 868181046 910304512 920747776 960780288 981422052 1120374784 1133228032 1144445336 1157574728 1207904064 1281040384 1308562736 1365456768 1381121664 1610538752 1680562176 1699842048 1716668004 1736362092 1820609024 1841495552 1859723671 1881058933 1921560576 1962844104 2240749568 2266456064 2288890672 2315149456 2415808128 2562080768 2617125472 2730913536 2762243328 3221077504 3290280341 3361124352 3399684096 3433336008 3472724184 3641218048 3682991104 3719447342 3762117866 3843121152 3925688208 4481499136 4532912128 4577781344 4630298912 4831616256 5234250944 5461827072 5524486656 5579171013 5643176799 6442155008 6580560682 6722248704 6799368192 6866672016 6945448368 7282436096 7365982208 7438894684 7524235732 7686242304 7851376416 9155562688 9260597824 9663232512 9870841023 10468501888 10923654144 11048973312 11158342026 11286353598 12884310016 13161121364 13444497408 13598736384 13733344032 13890896736 14564872192 14731964416 14877789368 15048471464 15702752832 18311125376 18521195648 19326465024 19741682046 20937003776 21847308288 22097946624 22316684052 22572707196 25768620032 26322242728 27466688064 27781793472 29129744384 29463928832 29755578736 30096942928 31405505664 36622250752 37042391296 38652930048 39483364092 41874007552 42773644433 43694616576 44195893248 44633368104 45145414392 51537240064 52644485456 54933376128 55563586944 58259488768 58927857664 59511157472 60193885856 62811011328 73244501504 74084782592 75676447843 77305860096 78966728184 83748015104 85547288866 87389233152 88391786496 89266736208 90290828784 103074480128 105288970912 109866752256 111127173888 119022314944 120387771712 125622022656 128320933299 146489003008 148169565184 151352895686 154611720192 157933456368 167496030208 171094577732 174778466304 176783572992 178533472416 180581657568 210577941824 219733504512 222254347776 227029343529 238044629888 240775543424 251244045312 256641866598 292978006016 296339130368 302705791372 309223440384 315866912736 334992060416 342189155464 357066944832 361163315136 421155883648 439467009024 444508695552 454058687058 476089259776 481551086848 502488090624 513283733196 585956012032 592678260736 605411582744 631733825472 669984120832 684378310928 714133889664 722326630272 842311767296 878934018048 889017391104 908117374116 952178519552 963102173696 983793821959 1004976181248 1026567466392 1171912024064 1185356521472 1210823165488 1263467650944 1339968241664 1368756621856 1428267779328 1444653260544 1684623534592 1757868036096 1778034782208 1816234748232 1904357039104 1926204347392 1967587643918 2009952362496 2053134932784 2343824048128 2370713042944 2421646330976 2526935301888 2737513243712 2856535558656 2889306521088 2951381465877 3369247069184 3515736072192 3556069564416 3632469496464 3808714078208 3852408694784 3935175287836 4019904724992 4106269865568 4843292661952 5053870603776 5475026487424 5713071117312 5778613042176 5902762931754 6738494138368 7031472144384 7112139128832 7264938992928 7617428156416 7704817389568 7870350575672 8212539731136 9686585323904 10107741207552 10950052974848 11426142234624 11557226084352 11805525863508 13476988276736 14529877985856 15234856312832 15409634779136 15740701151344 16425079462272 19373170647808 20215482415104 21900105949696 22852284469248 23114452168704 23611051727016 26953976553472 29059755971712 30469712625664 30819269558272 31481402302688 32850158924544 38746341295616 40430964830208 43800211899392 45704568938496 46228904337408 47222103454032 53907953106944 58119511943424 62962804605376 65700317849088 77492682591232 80861929660416 87600423798784 91409137876992 92457808674816 94444206908064 116239023886848 125925609210752 131400635698176 154985365182464 161723859320832 175200847597568 188888413816128 232478047773696 251851218421504 262801271396352 309970730364928 350401695195136 377776827632256 464956095547392 503702436843008 525602542792704 619941460729856 700803390390272 755553655264512 929912191094784 1007404873686016 1051205085585408 1239882921459712 1511107310529024 1859824382189568 2014809747372032 2102410171170816 3022214621058048 3719648764379136 4029619494744064 6044429242116096 8059238989488128 12088858484232192 16118477978976256 24177716968464384 48355433936928768
- Sum of all divisors σ(n): 145440745474512320
- Sum of proper divisors (its aliquot sum) s(n): 97085311537583552
- 48355433936928768 is an abundant number, because the sum of its proper divisors (97085311537583552) is greater than itself. Its abundance is 48729877600654784
Bases of 48355433936928768
- Binary: 101010111100101100000010110011101100010101000000000000002
- Hexadecimal: 0xABCB02CEC54000
- Base-36: D84KJOHQOLC
Squares and roots of 48355433936928768
- 48355433936928768 squared (483554339369287682) is 2338247991228682411428604305997824
- 48355433936928768 cubed (483554339369287683) is 113066996268014949724478527805260628955828251000832
-
The
square root of 48355433936928768 is 219898690.1664690863 -
The
cube root of 48355433936928768 is 364318.9500469689
Scales and comparisons
How big is 48355433936928768?- 48,355,433,936,928,768 seconds is equal to 1,537,553,226 years, 6 days, 12 minutes, 48 seconds.
-
To count from 1 to 48,355,433,936,928,768 would take you about four billion, six hundred twelve million, six hundred fifty-nine thousand, six hundred seventy-eight 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 48355433936928768 cubic inches would be around 30359.9 feet tall.
Recreational maths with 48355433936928768
- 48355433936928768 backwards is 86782963933455384
- The number of decimal digits it has is: 17
- The sum of 48355433936928768's digits is 93
- More coming soon!
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The information we have on file for 48355433936928768 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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