135399007016822400
135,399,007,016,822,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 135399007016822400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
135399007016822400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 135399007016822400:
27 × 3 × 52 × 79 × 5212 × 8112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 79 × 521 × 521 × 811 × 811)See below for interesting mathematical facts about the number 135399007016822400 from the Numbermatics database.
Names of 135399007016822400
- Cardinal: 135399007016822400 can be written as One hundred thirty-five quadrillion, three hundred ninety-nine trillion, seven billion, sixteen million, eight hundred twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.353990070168224 × 1017
Factors of 135399007016822400
Divisors of 135399007016822400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 79 80 96 100 120 128 150 158 160 192 200 237 240 300 316 320 384 395 400 474 480 521 600 632 640 790 800 811 948 960 1042 1185 1200 1264 1563 1580 1600 1622 1896 1920 1975 2084 2370 2400 2433 2528 2605 3126 3160 3200 3244 3792 3950 4055 4168 4740 4800 4866 5056 5210 5925 6252 6320 6488 7584 7815 7900 8110 8336 9480 9600 9732 10112 10420 11850 12165 12504 12640 12976 13025 15168 15630 15800 16220 16672 18960 19464 20275 20840 23700 24330 25008 25280 25952 26050 30336 31260 31600 32440 33344 37920 38928 39075 40550 41159 41680 47400 48660 50016 50560 51904 52100 60825 62520 63200 64069 64880 66688 75840 77856 78150 81100 82318 83360 94800 97320 100032 103808 104200 121650 123477 125040 126400 128138 129760 151680 155712 156300 162200 164636 166720 189600 192207 194640 200064 205795 208400 243300 246954 250080 252800 256276 259520 271441 311424 312600 320345 324400 329272 333440 379200 384414 389280 411590 416800 422531 486600 493908 500160 512552 519040 542882 617385 625200 640690 648800 657721 658544 758400 768828 778560 814323 823180 833600 845062 961035 973200 987816 1000320 1025104 1028975 1085764 1234770 1250400 1267593 1281380 1297600 1315442 1317088 1357205 1537656 1557120 1601725 1628646 1646360 1667200 1690124 1922070 1946400 1973163 1975632 2050208 2057950 2112655 2171528 2469540 2500800 2535186 2562760 2595200 2630884 2634176 2714410 3075312 3086925 3203450 3257292 3288605 3292720 3380248 3844140 3892800 3946326 3951264 4071615 4100416 4115900 4225310 4343056 4805175 4939080 5001600 5070372 5125520 5261768 5268352 5428820 6150624 6173850 6337965 6406900 6514584 6577210 6585440 6760496 6786025 7688280 7785600 7892652 7902528 8143230 8200832 8231800 8450620 8686112 9610350 9865815 9878160 10140744 10251040 10523536 10563275 10857640 12301248 12347700 12675930 12813800 13029168 13154420 13170880 13520992 13572050 15376560 15785304 15805056 16286460 16443025 16463600 16901240 17372224 19220700 19731630 19756320 20281488 20358075 20502080 21047072 21126550 21443839 21715280 24602496 24695400 25351860 25627600 26058336 26308840 26341760 27041984 27144100 30753120 31570608 31689825 32572920 32886050 32927200 33379949 33802480 34744448 38441400 39463260 39512640 40562976 40716150 41004160 42094144 42253100 42887678 43430560 49329075 49390800 50703720 51255200 51959959 52116672 52617680 54083968 54288200 61506240 63141216 63379650 64331517 65145840 65772100 65854400 66759898 67604960 76882800 78926520 79025280 81125952 81432300 84188288 84506200 85775356 86861120 98658150 98781600 100139847 101407440 102510400 103919918 104233344 105235360 107219195 108576400 123012480 126282432 126759300 128663034 130291680 131544200 131708800 133519796 135209920 153765600 155879877 157853040 162251904 162864600 166899745 169012400 171550712 173722240 197316300 197563200 200279694 202814880 205020800 207839836 210470720 214438390 217152800 220138651 252564864 253518600 257326068 259799795 260583360 263088400 267039592 270419840 307531200 311759754 315706080 321657585 325729200 333799490 338024800 342672641 343101424 394632600 395126400 400559388 405629760 415679672 420941440 428876780 434305600 440277302 500699235 507037200 514652136 519599590 521166720 526176800 534079184 536095975 615062400 623519508 631412160 643315170 651458400 660415953 667598980 676049600 685345282 686202848 779399385 789265200 801118776 811259520 831359344 834498725 857753560 868611200 880554604 1001398470 1014074400 1028017923 1029304272 1039199180 1052353600 1068158368 1072191950 1100693255 1247039016 1262824320 1286630340 1298998975 1302916800 1320831906 1335197960 1352099200 1370690564 1372405696 1558798770 1578530400 1602237552 1608287925 1662718688 1668997450 1713363205 1715507120 1761109208 2002796940 2028148800 2056035846 2058608544 2078398360 2104707200 2136316736 2144383900 2201386510 2494078032 2503496175 2573260680 2597997950 2605833600 2641663812 2670395920 2741381128 2744811392 3117597540 3157060800 3204475104 3216575850 3302079765 3325437376 3337994900 3426726410 3431014240 3522218416 3896996925 4005593880 4056297600 4112071692 4117217088 4156796720 4272633472 4288767800 4402773020 4988156064 5006992350 5140089615 5146521360 5195995900 5283327624 5340791840 5482762256 5503466275 6235195080 6314121600 6408950208 6433151700 6604159530 6650874752 6675989800 6853452820 6862028480 7044436832 7793993850 8011187760 8224143384 8234434176 8313593440 8566816025 8577535600 8805546040 9976312128 10013984700 10280179230 10293042720 10391991800 10566655248 10681583680 10965524512 11006932550 12470390160 12817900416 12866303400 13208319060 13351979600 13706905640 13724056960 14088873664 15587987700 16022375520 16448286768 16510398825 16627186880 17133632050 17155071200 17390953429 17611092080 19952624256 20027969400 20560358460 20586085440 20783983600 21133310496 21363167360 21931049024 22013865100 24940780320 25700448075 25732606800 26416638120 26703959200 27071138639 27413811280 28177747328 31175975400 32044751040 32896573536 33020797650 33254373760 34267264100 34310142400 34781906858 35222184160 40055938800 41120716920 41172170880 41567967200 42266620992 43862098048 44027730200 49881560640 51400896150 51465213600 52172860287 52833276240 53407918400 54142277278 54827622560 62351950800 64089502080 65793147072 66041595300 68534528200 68620284800 69563813716 70444368320 80111877600 81213415917 82241433840 83135934400 84533241984 86954767145 88055460400 99763121280 102801792300 102930427200 104345720574 105666552480 106815836800 108284554556 109655245120 124703901600 131586294144 132083190600 135355693195 137069056400 139127627432 140888736640 160223755200 162426831834 164482867680 166271868800 173909534290 176110920800 178532445961 205603584600 205860854400 208691441148 211333104960 216569109112 219310490240 249407803200 260864301435 264166381200 270711386390 274138112800 278255254864 320447510400 324853663668 328965735360 347819068580 352221841600 357064891922 406067079585 411207169200 417382882296 422666209920 433138218224 434773835725 498815606400 521728602870 528332762400 535597337883 541422772780 548276225600 556510509728 649707327336 657931470720 676778465975 695638137160 704443683200 714129783844 812134159170 822414338400 834765764592 866276436448 869547671450 892662229805 1043457205740 1056665524800 1071194675766 1082845545560 1096552451200 1113021019456 1299414654672 1304321507175 1353556931950 1391276274320 1428259567688 1624268318340 1644828676800 1669531529184 1732552872896 1739095342900 1785324459610 2030335397925 2086914411480 2113331049600 2142389351532 2165691091120 2226042038912 2598829309344 2608643014350 2677986689415 2707113863900 2782552548640 2856519135376 3248536636680 3289657353600 3339063058368 3465105745792 3478190685800 3570648919220 4060670795850 4173828822960 4284778703064 4331382182240 4463311149025 5197658618688 5217286028700 5355973378830 5414227727800 5565105097280 5713038270752 6497073273360 6678126116736 6956381371600 7141297838440 8121341591700 8347657645920 8569557406128 8662764364480 8926622298050 10395317237376 10434572057400 10711946757660 10828455455600 11130210194560 11426076541504 12994146546720 13389933447075 13912762743200 14104063230919 14282595676880 16242683183400 16695315291840 17139114812256 17325528728960 17853244596100 20869144114800 21423893515320 21656910911200 22852153083008 25988293093440 26779866894150 27825525486400 28208126461838 28565191353760 32485366366800 33390630583680 34278229624512 35706489192200 41738288229600 42312189692757 42847787030640 43313821822400 51976586186880 53559733788300 55651050972800 56416252923676 57130382707520 64970732733600 68556459249024 70520316154595 71412978384400 83476576459200 84624379385514 85695574061280 86627643644800 107119467576600 112832505847352 114260765415040 129941465467200 141040632309190 142825956768800 166953152918400 169248758771028 171391148122560 211560948463785 214238935153200 225665011694704 259882930934400 282081264618380 285651913537600 338497517542056 342782296245120 352601580772975 423121896927570 428477870306400 451330023389408 564162529236760 571303827075200 676995035084112 705203161545950 846243793855140 856955740612800 902660046778816 1057804742318925 1128325058473520 1353990070168224 1410406323091900 1692487587710280 1713911481225600 1805320093557632 2115609484637850 2256650116947040 2707980140336448 2820812646183800 3384975175420560 4231218969275700 4513300233894080 5415960280672896 5641625292367600 6769950350841120 8462437938551400 9026600467788160 11283250584735200 13539900701682240 16924875877102800 22566501169470400 27079801403364480 33849751754205600 45133002338940800 67699503508411200 135399007016822400
- Sum of all divisors σ(n): 453042785361758400
- Sum of proper divisors (its aliquot sum) s(n): 317643778344936000
- 135399007016822400 is an abundant number, because the sum of its proper divisors (317643778344936000) is greater than itself. Its abundance is 182244771328113600
Bases of 135399007016822400
- Binary: 1111000010000100010101101111101000010110110100110100000002
- Hexadecimal: 0x1E108ADF42DA680
- Base-36: 1116XX4F1VUO
Squares and roots of 135399007016822400
- 135399007016822400 squared (1353990070168224002) is 18332891101141521510996593141760000
- 135399007016822400 cubed (1353990070168224003) is 2482255250842101806317921423243903320787943424000000
-
The
square root of 135399007016822400 is 367966040.5755161531 -
The
cube root of 135399007016822400 is 513497.6886746487
Scales and comparisons
How big is 135399007016822400?- 135,399,007,016,822,400 seconds is equal to 4,305,269,606 years, 26 weeks, 2 days, 18 hours, 40 minutes.
-
To count from 1 to 135,399,007,016,822,400 would take you about twelve billion, nine hundred fifteen million, eight hundred eight thousand, eight hundred nineteen 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 135399007016822400 cubic inches would be around 42791.5 feet tall.
Recreational maths with 135399007016822400
- 135399007016822400 backwards is 004228610700993531
- 135399007016822400 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 135399007016822400's digits is 60
- 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 135399007016822400 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
APA style:
Numbermatics. (2024). Number 135399007016822400 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/135399007016822400/
Chicago style:
Numbermatics. 2024. "Number 135399007016822400 - Facts about the integer". https://numbermatics.com/n/135399007016822400/
The information we have on file for 135399007016822400 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 135399007016822400, math, Factors of 135399007016822400, curriculum, school, college, exams, university, Prime factorization of 135399007016822400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five quadrillion, three hundred ninety-nine trillion, seven billion, sixteen million, eight hundred twenty-two thousand, four hundred.