48135287889626400
48,135,287,889,626,400 is an even composite number composed of seven prime numbers multiplied together.
48135287889626400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 48135287889626400:
25 × 32 × 52 × 17 × 23 × 1907 × 8966101
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 17 × 23 × 1907 × 8966101)See below for interesting mathematical facts about the number 48135287889626400 from the Numbermatics database.
Names of 48135287889626400
- Cardinal: 48135287889626400 can be written as Forty-eight quadrillion, one hundred thirty-five trillion, two hundred eighty-seven billion, eight hundred eighty-nine million, six hundred twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 4.81352878896264 × 1016
Factors of 48135287889626400
Divisors of 48135287889626400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 23 24 25 30 32 34 36 40 45 46 48 50 51 60 68 69 72 75 80 85 90 92 96 100 102 115 120 136 138 144 150 153 160 170 180 184 200 204 207 225 230 240 255 272 276 288 300 306 340 345 360 368 391 400 408 414 425 450 460 480 510 544 552 575 600 612 680 690 720 736 765 782 800 816 828 850 900 920 1020 1035 1104 1150 1173 1200 1224 1275 1360 1380 1440 1530 1564 1632 1656 1700 1725 1800 1840 1907 1955 2040 2070 2208 2300 2346 2400 2448 2550 2720 2760 3060 3128 3312 3400 3450 3519 3600 3680 3814 3825 3910 4080 4140 4600 4692 4896 5100 5175 5520 5721 5865 6120 6256 6624 6800 6900 7038 7200 7628 7650 7820 8160 8280 9200 9384 9535 9775 10200 10350 11040 11442 11730 12240 12512 13600 13800 14076 15256 15300 15640 16560 17163 17595 18400 18768 19070 19550 20400 20700 22884 23460 24480 27600 28152 28605 29325 30512 30600 31280 32419 33120 34326 35190 37536 38140 39100 40800 41400 43861 45768 46920 47675 55200 56304 57210 58650 61024 61200 62560 64838 68652 70380 76280 78200 82800 85815 87722 87975 91536 93840 95350 97257 112608 114420 117300 122400 129676 131583 137304 140760 143025 152560 156400 162095 165600 171630 175444 175950 183072 187680 190700 194514 219305 228840 234600 259352 263166 274608 281520 286050 291771 305120 312800 324190 343260 350888 351900 381400 389028 394749 429075 438610 457680 469200 486285 518704 526332 549216 563040 572100 583542 648380 657915 686520 701776 703800 745637 762800 778056 789498 810475 858150 877220 915360 938400 972570 1037408 1052664 1096525 1144200 1167084 1296760 1315830 1373040 1403552 1407600 1458855 1491274 1525600 1556112 1578996 1620950 1716300 1754440 1945140 1973745 2105328 2193050 2236911 2288400 2334168 2431425 2593520 2631660 2746080 2815200 2917710 2982548 3112224 3157992 3241900 3289575 3432600 3508880 3728185 3890280 3947490 4210656 4386100 4473822 4576800 4668336 4862850 5187040 5263320 5835420 5965096 6315984 6483800 6579150 6710733 6865200 7017760 7294275 7456370 7780560 7894980 8772200 8947644 8966101 9336672 9725700 9868725 10526640 11184555 11670840 11930192 12631968 12967600 13158300 13421466 13730400 14588550 14912740 15561120 15789960 17544400 17895288 17932202 18640925 19451400 19737450 21053280 22369110 23341680 23860384 25935200 26316600 26842932 26898303 29177100 29825480 31579920 33553665 35088800 35790576 35864404 37281850 38902800 39474900 44738220 44830505 46683360 52633200 53685864 53796606 55922775 58354200 59650960 63159840 67107330 71581152 71728808 74563700 77805600 78949800 80694909 89476440 89661010 105266400 107371728 107593212 111845550 116708400 119301920 134214660 134491515 143457616 149127400 152423717 157899600 161389818 167768325 178952880 179322020 206220323 214743456 215186424 223691100 224152525 233416800 268429320 268983030 286915232 298254800 304847434 315799200 322779636 335536650 357905760 358644040 403474545 412440646 430372848 447382200 448305050 457271151 536858640 537966060 596509600 609694868 618660969 645559272 671073300 672457575 717288080 762118585 806949090 824881292 860745696 894764400 896610100 914542302 1031101615 1073717280 1075932120 1219389736 1237321938 1291118544 1342146600 1344915150 1371813453 1434576160 1524237170 1613898180 1649762584 1789528800 1793220200 1829084604 1855982907 2017372725 2062203230 2151864240 2286355755 2438779472 2474643876 2582237088 2684293200 2689830300 2743626906 3048474340 3093304845 3227796360 3299525168 3505745491 3586440400 3658169208 3711965814 3810592925 4034745450 4124406460 4303728480 4572711510 4877558944 4949287752 5155508075 5368586400 5379660600 5487253812 6096948680 6186609690 6455592720 6599050336 6859067265 7011490982 7172880800 7316338416 7423931628 7621185850 8069490900 8248812920 9145423020 9279914535 9898575504 10311016150 10517236473 10759321200 10974507624 11431778775 12193897360 12373219380 12911185440 13718134530 14022981964 14632676832 14847863256 15242371700 15466524225 16138981800 16497625840 17098354607 17528727455 18290846040 18559829070 19797151008 20622032300 21034472946 21518642400 21949015248 22863557550 24387794720 24746438760 27436269060 28045963928 29695726512 30484743400 30933048450 31551709419 32277963600 32995251680 34196709214 34295336325 35057454910 36581692080 37119658140 41244064600 42068945892 43898030496 45727115100 46399572675 49492877520 51295063821 52586182365 54872538120 56091927856 59391453024 60969486800 61866096900 63103418838 64555927200 68393418428 68590672650 70114909820 73163384160 74239316280 82488129200 84137891784 85491773035 87643637275 91454230200 92799145350 98985755040 102590127642 105172364730 109745076240 112183855712 121938973600 123732193800 126206837676 136786836856 137181345300 140229819640 148478632560 153885191463 157758547095 164976258400 168275783568 170983546070 175287274550 182908460400 185598290700 205180255284 210344729460 219490152480 247464387600 252413675352 256475319105 262930911825 273573673712 274362690600 280459639280 290672028319 296957265120 307770382926 315517094190 336551567136 341967092140 350574549100 365816920800 371196581400 393262155961 410360510568 420689458920 427458865175 494928775200 504827350704 512950638210 525861823650 547147347424 548725381200 560919278560 581344056638 615540765852 631034188380 683934184280 701149098200 742393162800 769425957315 786524311922 788792735475 820721021136 841378917840 854917730350 872016084957 1009654701408 1025901276420 1051723647300 1097450762400 1162688113276 1179786467883 1231081531704 1262068376760 1282376595525 1367868368560 1402298196400 1453360141595 1484786325600 1538851914630 1573048623844 1577585470950 1641442042272 1682757835680 1709835460700 1744032169914 1966310779805 2051802552840 2103447294600 2325376226552 2359572935766 2462163063408 2524136753520 2564753191050 2616048254871 2735736737120 2804596392800 2906720283190 3077703829260 3146097247688 3155170941900 3419670921400 3488064339828 3539359403649 3847129786575 3932621559610 4103605105680 4206894589200 4360080424785 4650752453104 4719145871532 4924326126816 5048273507040 5129506382100 5232096509742 5813440566380 5898932339415 6155407658520 6292194495376 6310341883800 6685456651337 6839341842800 6976128679656 7078718807298 7266800707975 7694259573150 7865243119220 8207210211360 8413789178400 8720160849570 9301504906208 9438291743064 9831553899025 10259012764200 10464193019484 11626881132760 11797864678830 12310815317040 12584388990752 12620683767600 13080241274355 13370913302674 13678683685600 13952257359312 14157437614596 14533601415950 15388519146300 15730486238440 17440321699140 17696797018245 18876583486128 19663107798050 20056369954011 20518025528400 20928386038968 21800402123925 23253762265520 23595729357660 24621630634080 25241367535200 26160482548710 26741826605348 27904514718624 28314875229192 29067202831900 29494661697075 30777038292600 31460972476880 33427283256685 34880643398280 35393594036490 37753166972256 39326215596100 40112739908022 41036051056800 41856772077936 43600804247850 46507524531040 47191458715320 52320965097420 53483653210696 56629750458384 58134405663800 58989323394150 60169109862033 61554076585200 62921944953760 65401206371775 66854566513370 69761286796560 70787188072980 78652431192200 80225479816044 83713544155872 87201608495700 88483985091225 94382917430640 100281849770055 104641930194840 106967306421392 113259500916768 116268811327600 117978646788300 120338219724066 123108153170400 130802412743550 133709133026740 139522573593120 141574376145960 157304862384400 160450959632088 167136416283425 174403216991400 176967970182450 188765834861280 200563699540110 209283860389680 213934612842784 232537622655200 235957293576600 240676439448132 261604825487100 267418266053480 283148752291920 300845549310165 314609724768800 320901919264176 334272832566850 348806433982800 353935940364900 401127399080220 418567720779360 471914587153200 481352878896264 501409248850275 523209650974200 534836532106960 566297504583840 601691098620330 641803838528352 668545665133700 697612867965600 707871880729800 802254798160440 943829174306400 962705757792528 1002818497700550 1046419301948400 1069673064213920 1203382197240660 1337091330267400 1415743761459600 1504227746550825 1604509596320880 1925411515585056 2005636995401100 2092838603896800 2406764394481320 2674182660534800 2831487522919200 3008455493101650 3209019192641760 4011273990802200 4813528788962640 5348365321069600 6016910986203300 8022547981604400 9627057577925280 12033821972406600 16045095963208800 24067643944813200 48135287889626400
- Sum of all divisors σ(n): 187633935603773568
- Sum of proper divisors (its aliquot sum) s(n): 139498647714147168
- 48135287889626400 is an abundant number, because the sum of its proper divisors (139498647714147168) is greater than itself. Its abundance is 91363359824520768
Bases of 48135287889626400
- Binary: 101010110000001011001010000011111101001010000101001000002
- Hexadecimal: 0xAB02CA0FD28520
- Base-36: D5YJ9ZD6H40
Squares and roots of 48135287889626400
- 48135287889626400 squared (481352878896264002) is 2317005940217213964988731576960000
- 48135287889626400 cubed (481352878896264003) is 111529747974330089919195823925583500897247744000000
-
The
square root of 48135287889626400 is 219397556.7084246269 -
The
cube root of 48135287889626400 is 363765.2349691075
Scales and comparisons
How big is 48135287889626400?- 48,135,287,889,626,400 seconds is equal to 1,530,553,262 years, 34 weeks, 5 days, 10 hours.
-
To count from 1 to 48,135,287,889,626,400 would take you about four billion, five hundred ninety-one million, six hundred fifty-nine thousand, seven hundred eighty-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 48135287889626400 cubic inches would be around 30313.8 feet tall.
Recreational maths with 48135287889626400
- 48135287889626400 backwards is 00462698878253184
- The number of decimal digits it has is: 17
- The sum of 48135287889626400's digits is 81
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 48135287889626400 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 48135287889626400 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/48135287889626400/
Chicago style:
Numbermatics. 2024. "Number 48135287889626400 - Facts about the integer". https://numbermatics.com/n/48135287889626400/
The information we have on file for 48135287889626400 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 48135287889626400, math, Factors of 48135287889626400, curriculum, school, college, exams, university, Prime factorization of 48135287889626400, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quadrillion, one hundred thirty-five trillion, two hundred eighty-seven billion, eight hundred eighty-nine million, six hundred twenty-six thousand, four hundred.