135924828252308838400
135,924,828,252,308,838,400 is an even composite number composed of six prime numbers multiplied together.
135924828252308838400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 135924828252308838400:
211 × 52 × 7 × 17 × 59 × 378120182567
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 17 × 59 × 378120182567)See below for interesting mathematical facts about the number 135924828252308838400 from the Numbermatics database.
Names of 135924828252308838400
- Cardinal: 135924828252308838400 can be written as One hundred thirty-five quintillion, nine hundred twenty-four quadrillion, eight hundred twenty-eight trillion, two hundred fifty-two billion, three hundred eight million, eight hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.359248282523088384 × 1020
Factors of 135924828252308838400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 378120182657
Divisors of 135924828252308838400
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 56 59 64 68 70 80 85 100 112 118 119 128 136 140 160 170 175 200 224 236 238 256 272 280 295 320 340 350 400 413 425 448 472 476 512 544 560 590 595 640 680 700 800 826 850 896 944 952 1003 1024 1088 1120 1180 1190 1280 1360 1400 1475 1600 1652 1700 1792 1888 1904 2006 2048 2065 2176 2240 2360 2380 2560 2720 2800 2950 2975 3200 3304 3400 3584 3776 3808 4012 4130 4352 4480 4720 4760 5015 5120 5440 5600 5900 5950 6400 6608 6800 7021 7168 7552 7616 8024 8260 8704 8960 9440 9520 10030 10240 10325 10880 11200 11800 11900 12800 13216 13600 14042 14336 15104 15232 16048 16520 17408 17920 18880 19040 20060 20650 21760 22400 23600 23800 25075 25600 26432 27200 28084 30208 30464 32096 33040 34816 35105 35840 37760 38080 40120 41300 43520 44800 47200 47600 50150 51200 52864 54400 56168 60416 60928 64192 66080 70210 71680 75520 76160 80240 82600 87040 89600 94400 95200 100300 105728 108800 112336 120832 121856 128384 132160 140420 151040 152320 160480 165200 174080 175525 179200 188800 190400 200600 211456 217600 224672 243712 256768 264320 280840 302080 304640 320960 330400 351050 358400 377600 380800 401200 422912 435200 449344 513536 528640 561680 604160 609280 641920 660800 702100 755200 761600 802400 845824 870400 898688 1027072 1057280 1123360 1218560 1283840 1321600 1404200 1510400 1523200 1604800 1797376 2054144 2114560 2246720 2567680 2643200 2808400 3020800 3046400 3209600 3594752 4229120 4493440 5135360 5286400 5616800 6092800 6419200 7189504 8986880 10270720 10572800 11233600 12838400 14379008 17973760 21145600 22467200 25676800 35947520 44934400 51353600 71895040 89868800 179737600 359475200 378120182567 756240365134 1512480730268 1890600912835 2646841277969 3024961460536 3781201825670 5293682555938 6049922921072 6428043103639 7562403651340 9453004564175 10587365111876 12099845842144 12856086207278 13234206389845 15124807302680 18906009128350 21174730223752 22309090771453 24199691684288 25712172414556 26468412779690 30249614605360 32140215518195 37812018256700 42349460447504 44618181542906 44996301725473 48399383368576 51424344829112 52936825559380 60499229210720 64280431036390 66171031949225 75624036513400 84698920895008 89236363085812 89992603450946 96798766737152 102848689658224 105873651118760 111545453857265 120998458421440 128560862072780 132342063898450 151248073026800 156163635400171 160701077590975 169397841790016 178472726171624 179985206901892 193597533474304 205697379316448 211747302237520 223090907714530 224981508627365 241996916842880 257121724145560 264684127796900 302496146053600 312327270800342 321402155181950 338795683580032 356945452343248 359970413803784 379254543114701 387195066948608 411394758632896 423494604475040 446181815429060 449963017254730 483993833685760 514243448291120 529368255593800 557727269286325 604992292107200 624654541600684 642804310363900 677591367160064 713890904686496 719940827607568 758509086229402 774390133897216 780818177000855 822789517265792 846989208950080 892363630858120 899926034509460 967987667371520 1028486896582240 1058736511187600 1115454538572650 1124907543136825 1209984584214400 1249309083201368 1285608620727800 1355182734320128 1427781809372992 1439881655215136 1517018172458804 1561636354001710 1645579034531584 1693978417900160 1784727261716240 1799852069018920 1896272715573505 1935975334743040 2056973793164480 2117473022375200 2230909077145300 2249815086273650 2419969168428800 2498618166402736 2571217241455600 2654781801802907 2710365468640256 2855563618745984 2879763310430272 3034036344917608 3123272708003420 3291158069063168 3387956835800320 3569454523432480 3599704138037840 3792545431147010 3871950669486080 3904090885004275 4113947586328960 4234946044750400 4461818154290600 4499630172547300 4839938336857600 4997236332805472 5142434482911200 5309563603605814 5420730937280512 5711127237491968 5759526620860544 6068072689835216 6246545416006840 6582316138126336 6775913671600640 7138909046864960 7199408276075680 7585090862294020 7808181770008550 8227895172657920 8469892089500800 8923636308581200 8999260345094600 9481363577867525 9679876673715200 9994472665610944 10284868965822400 10619127207211628 11422254474983936 11519053241721088 12136145379670432 12493090832013680 13164632276252672 13273909009014535 13551827343201280 14277818093729920 14398816552151360 15170181724588040 15616363540017100 16455790345315840 16939784179001600 17847272617162400 17998520690189200 18962727155735050 19359753347430400 19988945331221888 20569737931644800 21238254414423256 22844508949967872 23038106483442176 24272290759340864 24986181664027360 26547818018029070 27103654686402560 28555636187459840 28797633104302720 30340363449176080 31232727080034200 32911580690631680 33879568358003200 35694545234324800 35997041380378400 37925454311470100 39977890662443776 41139475863289600 42476508828846512 45689017899935744 46076212966884352 48544581518681728 49972363328054720 53095636036058140 57111272374919680 57595266208605440 60680726898352160 62465454160068400 65823161381263360 66369545045072675 67759136716006400 71389090468649600 71994082760756800 75850908622940200 79955781324887552 82278951726579200 84953017657693024 92152425933768704 97089163037363456 99944726656109440 106191272072116280 114222544749839360 115190532417210880 121361453796704320 124930908320136800 132739090090145350 135518273432012800 142778180937299200 143988165521513600 151701817245880400 159911562649775104 164557903453158400 169906035315386048 194178326074726912 199889453312218880 212382544144232560 228445089499678720 230381064834421760 242722907593408640 249861816640273600 265478180180290700 285556361874598400 287976331043027200 303403634491760800 319823125299550208 329115806906316800 339812070630772096 388356652149453824 399778906624437760 424765088288465120 460762129668843520 485445815186817280 499723633280547200 530956360360581400 571112723749196800 575952662086054400 606807268983521600 679624141261544192 776713304298907648 799557813248875520 849530176576930240 970891630373634560 999447266561094400 1061912720721162800 1142225447498393600 1151905324172108800 1213614537967043200 1359248282523088384 1599115626497751040 1699060353153860480 1941783260747269120 1998894533122188800 2123825441442325600 2303810648344217600 2427229075934086400 2718496565046176768 3398120706307720960 3883566521494538240 3997789066244377600 4247650882884651200 4854458151868172800 5436993130092353536 6796241412615441920 7995578132488755200 8495301765769302400 9708916303736345600 13592482825230883840 16990603531538604800 19417832607472691200 27184965650461767680 33981207063077209600 67962414126154419200 135924828252308838400
- Sum of all divisors σ(n): 414724031217458726400
- Sum of proper divisors (its aliquot sum) s(n): 278799202965149888000
- 135924828252308838400 is an abundant number, because the sum of its proper divisors (278799202965149888000) is greater than itself. Its abundance is 142874374712841049600
Bases of 135924828252308838400
- Binary: 11101011110010101011111111100100010100001101101100100011000000000002
- Hexadecimal: 0x75E55FF2286D91800
- Base-36: SOOYAANJR0074
Squares and roots of 135924828252308838400
- 135924828252308838400 squared (1359248282523088384002) is 18475558935419654988459340334757314560000
- 135924828252308838400 cubed (1359248282523088384003) is 2511287175162326525912151586662291968802780862537007104000000
-
The
square root of 135924828252308838400 is 11658680382.1148145583 -
The
cube root of 135924828252308838400 is 5141615.5178159171
Scales and comparisons
How big is 135924828252308838400?- 135,924,828,252,308,838,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 135,924,828,252,308,838,400 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 135924828252308838400 cubic inches would be around 428468 feet tall.
Recreational maths with 135924828252308838400
- 135924828252308838400 backwards is 004838803252828429531
- 135924828252308838400 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 135924828252308838400's digits is 85
- More coming soon!
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The information we have on file for 135924828252308838400 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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