49142839863841920
49,142,839,863,841,920 is an even composite number composed of seven prime numbers multiplied together.
What does the number 49142839863841920 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
49142839863841920 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 49142839863841920:
27 × 32 × 5 × 72 × 19 × 409 × 22406023
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 19 × 409 × 22406023)See below for interesting mathematical facts about the number 49142839863841920 from the Numbermatics database.
Names of 49142839863841920
- Cardinal: 49142839863841920 can be written as Forty-nine quadrillion, one hundred forty-two trillion, eight hundred thirty-nine billion, eight hundred sixty-three million, eight hundred forty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.914283986384192 × 1016
Factors of 49142839863841920
Divisors of 49142839863841920
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 28 30 32 35 36 38 40 42 45 48 49 56 57 60 63 64 70 72 76 80 84 90 95 96 98 105 112 114 120 126 128 133 140 144 147 152 160 168 171 180 190 192 196 210 224 228 240 245 252 266 280 285 288 294 304 315 320 336 342 360 380 384 392 399 409 420 441 448 456 480 490 504 532 560 570 576 588 608 630 640 665 672 684 720 735 760 784 798 818 840 855 882 896 912 931 960 980 1008 1064 1120 1140 1152 1176 1197 1216 1227 1260 1330 1344 1368 1440 1470 1520 1568 1596 1636 1680 1710 1764 1824 1862 1920 1960 1995 2016 2045 2128 2205 2240 2280 2352 2394 2432 2454 2520 2660 2688 2736 2793 2863 2880 2940 3040 3136 3192 3272 3360 3420 3528 3648 3681 3724 3920 3990 4032 4090 4256 4410 4480 4560 4655 4704 4788 4908 5040 5320 5472 5586 5726 5760 5880 5985 6080 6135 6272 6384 6544 6720 6840 7056 7296 7362 7448 7771 7840 7980 8064 8180 8379 8512 8589 8820 9120 9310 9408 9576 9816 10080 10640 10944 11172 11452 11760 11970 12160 12270 12768 13088 13440 13680 13965 14112 14315 14724 14896 15542 15680 15960 16360 16758 17024 17178 17640 18240 18405 18620 18816 19152 19632 20041 20160 21280 21888 22344 22904 23313 23520 23940 24540 25536 25767 26176 27360 27930 28224 28630 29448 29792 31084 31360 31920 32720 33516 34356 35280 36480 36810 37240 38304 38855 39264 40082 40320 41895 42560 42945 44688 45808 46626 47040 47880 49080 51072 51534 52352 54397 54720 55860 56448 57260 58896 59584 60123 62168 63840 65440 67032 68712 69939 70560 73620 74480 76608 77710 78528 80164 83790 85120 85890 89376 91616 93252 94080 95760 98160 100205 103068 108794 109440 111720 114520 116565 117792 119168 120246 124336 127680 128835 130880 134064 137424 139878 141120 147240 148960 153216 155420 157056 160328 163191 167580 171780 178752 180369 183232 186504 191520 196320 200410 206136 217588 223440 229040 233130 235584 240492 248672 255360 257670 261760 268128 271985 274848 279756 282240 294480 297920 300615 310840 320656 326382 335160 343560 349695 357504 360738 366464 373008 380779 383040 392640 400820 412272 435176 446880 458080 466260 471168 480984 489573 497344 515340 536256 543970 549696 559512 588960 595840 601230 621680 641312 652764 670320 687120 699390 721476 746016 761558 766080 785280 801640 815955 824544 870352 893760 901845 916160 932520 961968 979146 994688 1030680 1072512 1087940 1099392 1119024 1142337 1177920 1202460 1243360 1282624 1305528 1340640 1374240 1398780 1442952 1492032 1523116 1603280 1631910 1649088 1740704 1787520 1803690 1832320 1865040 1903895 1923936 1958292 2061360 2175880 2238048 2284674 2355840 2404920 2447865 2486720 2565248 2611056 2681280 2748480 2797560 2885904 2984064 3046232 3206560 3263820 3298176 3427011 3481408 3607380 3730080 3807790 3847872 3916584 4122720 4351760 4476096 4569348 4809840 4895730 4973440 5222112 5362560 5496960 5595120 5711685 5771808 6092464 6413120 6527640 6854022 6962816 7214760 7460160 7615580 7695744 7833168 8245440 8703520 8952192 9138696 9619680 9791460 10444224 11190240 11423370 11543616 12184928 12826240 13055280 13708044 14429520 14920320 15231160 15666336 16490880 17135055 17407040 18277392 19239360 19582920 20888448 22380480 22406023 22846740 23087232 24369856 26110560 27416088 28859040 30462320 31332672 34270110 34814080 36554784 38478720 39165840 44760960 44812046 45693480 48739712 52221120 54832176 57718080 60924640 62665344 67218069 68540220 73109568 78331680 89624092 91386960 104442240 109664352 112030115 115436160 121849280 134436138 137080440 146219136 156663360 156842161 179248184 182773920 201654207 219328704 224060230 243698560 268872276 274160880 313326720 313684322 336090345 358496368 365547840 403308414 425714437 438657408 448120460 470526483 537744552 548321760 627368644 672180690 716992736 731095680 784210805 806616828 851428874 896240920 941052966 1008271035 1075489104 1096643520 1097895127 1254737288 1277143311 1344361380 1411579449 1433985472 1568421610 1613233656 1702857748 1792481840 1882105932 2016542070 2128572185 2150978208 2193287040 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197621122860 204342929760 208600074130 210795864384 214560076248 219937521768 225852711840 238400084720 245211515712 250320088956 256593775396 263494830480 268200095310 272457239680 274921902210 286080101664 293250029024 301136949120 306514394640 312900111195 316193796576 320742219245 329906282652 333760118608 348234409466 351326440640 357600127080 366562536280 375480133434 381440135552 384890663094 395242245720 408685859520 412382853315 417200148260 421591728768 429120152496 439875043536 449039106943 451705423680 476800169440 490423031424 500640177912 513187550792 522351614199 526989660960 536400190620 549843804420 572160203328 577335994641 586500058048 613028789280 625800222390 632387593152 641484438490 659812565304 667520237216 696468818932 702652881280 715200254160 733125072560 750960266868 769781326188 790484491440 817371719040 824765706630 834400296520 858240304992 870586023665 879750087072 898078213886 903410847360 938700333585 953600338880 962226657735 1001280355824 1026375101584 1044703228398 1053979321920 1072800381240 1099687608840 1144320406656 1154671989282 1173000116096 1218820433131 1226057578560 1251600444780 1264775186304 1282968876980 1319625130608 1335040474432 1347117320829 1392937637864 1430400508320 1466250145120 1501920533736 1539562652376 1567054842597 1580968982880 1649531413260 1668800593040 1716480609984 1741172047330 1759500174144 1796156427772 1877400667170 1907200677760 1924453315470 2002560711648 2052750203168 2089406456796 2107958643840 2145600762480 2199375217680 2245195534715 2309343978564 2437640866262 2452115157120 2503200889560 2565937753960 2611758070995 2639250261216 2670080948864 2694234641658 2785875275728 2860801016640 2886679973205 2932500290240 3003841067472 3079125304752 3134109685194 3161937965760 3299062826520 3337601186080 3432961219968 3482344094660 3519000348288 3592312855544 3656461299393 3754801334340 3848906630940 4005121423296 4041351962487 4105500406336 4178812913592 4291201524960 4398750435360 4490391069430 4618687957128 4875281732524 5006401779120 5131875507920 5223516141990 5278500522432 5388469283316 5571750551456 5721602033280 5773359946410 5865000580480 6007682134944 6094102165655 6158250609504 6268219370388 6323875931520 6598125653040 6675202372160 6735586604145 6964688189320 7184625711088 7312922598786 7509602668680 7697813261880 7835274212985 8010242846592 8082703924974 8211000812672 8357625827184 8531743031917 8582403049920 8797500870720 8980782138860 9237375914256 9750563465048 10012803558240 10263751015840 10447032283980 10557001044864 10776938566632 10969383898179 11143501102912 11546719892820 12015364269888 12188204331310 12316501219008 12536438740776 13196251306080 13350404744320 13471173208290 13929376378640 14369251422176 14625845197572 15019205337360 15395626523760 15670548425970 16165407849948 16715251654368 17063486063834 17164806099840 17595001741440 17961564277720 18282306496965 18474751828512 19501126930096 20025607116480 20206759812435 20527502031680 20894064567960 21553877133264 21938767796358 22287002205824 23093439785640 24030728539776 24376408662620 24633002438016 25072877481552 25595229095751 26392502612160 26942346416580 27858752757280 28738502844352 29251690395144 30038410674720 30791253047520 31341096851940 32330815699896 33430503308736 34126972127668 35923128555440 36564612993930 36949503657024 39002253860192 40051214232960 40413519624870 41055004063360 41788129135920 42658715159585 43107754266528 43877535592716 46186879571280 48752817325240 50145754963104 51190458191502 52785005224320 53884692833160 54846919490895 55717505514560 57477005688704 58503380790288 60076821349440 61582506095040 62682193703880 64661631399792 66861006617472 68253944255336 71846257110880 73129225987860 73899007314048 76785687287253 78004507720384 80827039249740 83576258271840 85317430319170 86215508533056 87755071185432 92373759142560 97505634650480 100291509926208 102380916383004 107769385666320 109693838981790 111435011029120 117006761580576 120153642698880 123165012190080 125364387407760 127976145478755 129323262799584 136507888510672 143692514221760 146258451975720 153571374574506 156009015440768 161654078499480 167152516543680 170634860638340 172431017066112 175510142370864 184747518285120 195011269300960 200583019852416 204761832766008 215538771332640 219387677963580 234013523161152 250728774815520 255952290957510 258646525599168 273015777021344 287385028443520 292516903951440 307142749149012 323308156998960 334305033087360 341269721276680 351020284741728 369495036570240 383928436436265 390022538601920 409523665532016 431077542665280 438775355927160 468027046322304 501457549631040 511904581915020 517293051198336 546031554042688 585033807902880 614285498298024 646616313997920 682539442553360 702040569483456 767856872872530 780045077203840 819047331064032 862155085330560 877550711854320 1002915099262080 1023809163830040 1092063108085376 1170067615805760 1228570996596048 1293232627995840 1365078885106720 1404081138966912 1535713745745060 1638094662128064 1755101423708640 2047618327660080 2340135231611520 2457141993192096 2586465255991680 2730157770213440 3071427491490120 3276189324256128 3510202847417280 4095236655320160 4914283986384192 5460315540426880 6142854982980240 7020405694834560 8190473310640320 9828567972768384 12285709965960480 16380946621280640 24571419931920960 49142839863841920
- Sum of all divisors σ(n): 208299529034064000
- Sum of proper divisors (its aliquot sum) s(n): 159156689170222080
- 49142839863841920 is an abundant number, because the sum of its proper divisors (159156689170222080) is greater than itself. Its abundance is 110013849306380160
Bases of 49142839863841920
- Binary: 101011101001011100100111000010010101011010010100100000002
- Hexadecimal: 0xAE972709569480
- Base-36: DFVOKYWEN40
Squares and roots of 49142839863841920
- 49142839863841920 squared (491428398638419202) is 2415018709883210538244622749286400
- 49142839863841920 cubed (491428398638419203) is 118680877727972723465494405505387265508842405888000
-
The
square root of 49142839863841920 is 221681843.7848303353 -
The
cube root of 49142839863841920 is 366285.8006948061
Scales and comparisons
How big is 49142839863841920?- 49,142,839,863,841,920 seconds is equal to 1,562,590,298 years, 46 weeks, 11 hours, 12 minutes.
-
To count from 1 to 49,142,839,863,841,920 would take you about four billion, six hundred eighty-seven million, seven hundred seventy thousand, eight 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 49142839863841920 cubic inches would be around 30523.8 feet tall.
Recreational maths with 49142839863841920
- 49142839863841920 backwards is 02914836893824194
- The number of decimal digits it has is: 17
- The sum of 49142839863841920's digits is 81
- More coming soon!
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MLA style:
"Number 49142839863841920 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 49142839863841920 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/49142839863841920/
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The information we have on file for 49142839863841920 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!
Keywords: Divisors of 49142839863841920, math, Factors of 49142839863841920, curriculum, school, college, exams, university, Prime factorization of 49142839863841920, STEM, science, technology, engineering, physics, economics, calculator, forty-nine quadrillion, one hundred forty-two trillion, eight hundred thirty-nine billion, eight hundred sixty-three million, eight hundred forty-one thousand, nine hundred twenty.