135042663745867392000
135,042,663,745,867,392,000 is an even composite number composed of five prime numbers multiplied together.
135042663745867392000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 135042663745867392000:
210 × 32 × 53 × 1093 × 4493
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 109 × 109 × 109 × 449 × 449 × 449)See below for interesting mathematical facts about the number 135042663745867392000 from the Numbermatics database.
Names of 135042663745867392000
- Cardinal: 135042663745867392000 can be written as One hundred thirty-five quintillion, forty-two quadrillion, six hundred sixty-three trillion, seven hundred forty-five billion, eight hundred sixty-seven million, three hundred ninety-two thousand.
Scientific notation
- Scientific notation: 1.35042663745867392 × 1020
Factors of 135042663745867392000
Divisors of 135042663745867392000
- Number of divisors d(n): 2112
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 109 120 125 128 144 150 160 180 192 200 218 225 240 250 256 288 300 320 327 360 375 384 400 436 449 450 480 500 512 545 576 600 640 654 720 750 768 800 872 898 900 960 981 1000 1024 1090 1125 1152 1200 1280 1308 1347 1440 1500 1536 1600 1635 1744 1796 1800 1920 1962 2000 2180 2245 2250 2304 2400 2560 2616 2694 2725 2880 3000 3072 3200 3270 3488 3592 3600 3840 3924 4000 4041 4360 4490 4500 4608 4800 4905 5120 5232 5388 5450 5760 6000 6400 6540 6735 6976 7184 7200 7680 7848 8000 8082 8175 8720 8980 9000 9216 9600 9810 10464 10776 10900 11225 11520 11881 12000 12800 13080 13470 13625 13952 14368 14400 15360 15696 16000 16164 16350 17440 17960 18000 19200 19620 20205 20928 21552 21800 22450 23040 23762 24000 24525 25600 26160 26940 27250 27904 28736 28800 31392 32000 32328 32700 33675 34880 35643 35920 36000 38400 39240 40410 40875 41856 43104 43600 44900 46080 47524 48000 48941 49050 52320 53880 54500 55808 56125 57472 57600 59405 62784 64000 64656 65400 67350 69760 71286 71840 72000 76800 78480 80820 81750 83712 86208 87200 89800 95048 96000 97882 98100 101025 104640 106929 107760 109000 111616 112250 114944 115200 118810 122625 125568 128000 129312 130800 134700 139520 142572 143680 144000 146823 156960 161640 163500 167424 168375 172416 174400 178215 179600 190096 192000 195764 196200 201601 202050 209280 213858 215520 218000 224500 229888 230400 237620 244705 245250 251136 258624 261600 269400 279040 285144 287360 288000 293646 297025 313920 323280 327000 334848 336750 344832 348800 356430 359200 380192 384000 391528 392400 403202 404100 418560 427716 431040 436000 440469 449000 459776 475240 489410 490500 502272 505125 517248 523200 534645 538800 558080 570288 574720 576000 587292 594050 604803 627840 646560 654000 673500 689664 697600 712860 718400 734115 760384 783056 784800 806404 808200 837120 855432 862080 872000 880938 891075 898000 950480 978820 981000 1004544 1008005 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3788756943744000 3871636001888400 4010175612349440 4129745068680960 4177266262864000 4220083242058356 4301817779876000 4688981380064840 4699424545722000 4839545002360500 4955694082417152 5012719515436800 5162181335851200 5275104052572945 5506326758241280 5626777656077808 5683135415616000 5861226725081050 6015263418524160 6194617603021440 6265899394296000 6452726669814000 6683626020582400 6882908447801600 7033472070097260 7502370208103744 7519079273155200 7743272003776800 8259490137361920 8354532525728000 8440166484116712 8603635559752000 8791840087621575 9377962760129680 9398849091444000 9679090004721000 9911388164834304 10025439030873600 10324362671702400 10550208105145890 11253555312155616 11366270831232000 11722453450162100 12030526837048320 12389235206042880 12531798788592000 12905453339628000 13765816895603200 14066944140194520 14653066812702625 15004740416207488 15038158546310400 15486544007553600 16518980274723840 16709065051456000 16880332968233424 17207271119504000 17583680175243150 18755925520259360 18797698182888000 19358180009442000 20050878061747200 20648725343404800 21100416210291780 22507110624311232 23444906900324200 24778470412085760 25063597577184000 25810906679256000 26375520262864725 27531633791206400 28133888280389040 29306133625405250 30009480832414976 30076317092620800 30973088015107200 33418130102912000 33760665936466848 34414542239008000 35167360350486300 37511851040518720 37595396365776000 38716360018884000 41297450686809600 42200832420583560 43959200438107875 45014221248622464 46889813800648400 49556940824171520 50127195154368000 51621813358512000 52751040525729450 56267776560778080 58612267250810500 60018961664829952 60152634185241600 61946176030214400 67521331872933696 68829084478016000 70334720700972600 75023702081037440 75190792731552000 77432720037768000 82594901373619200 84401664841167120 87918400876215750 90028442497244928 93779627601296800 100254390308736000 103243626717024000 105502081051458900 112535553121556160 117224534501621000 120037923329659904 123892352060428800 131877601314323625 135042663745867392 137658168956032000 140669441401945200 150047404162074880 150381585463104000 154865440075536000 168803329682334240 175836801752431500 180056884994489856 187559255202593600 206487253434048000 211004162102917800 225071106243112320 234449069003242000 247784704120857600 263755202628647250 270085327491734784 281338882803890400 300094808324149760 300763170926208000 309730880151072000 337606659364668480 351673603504863000 360113769988979712 375118510405187200 412974506868096000 422008324205835600 450142212486224640 468898138006484000 527510405257294500 540170654983469568 562677765607780800 600189616648299520 619461760302144000 675213318729336960 703347207009726000 750237020810374400 844016648411671200 900284424972449280 937796276012968000 1055020810514589000 1080341309966939136 1125355531215561600 1238923520604288000 1350426637458673920 1406694414019452000 1500474041620748800 1688033296823342400 1800568849944898560 1875592552025936000 2110041621029178000 2250711062431123200 2700853274917347840 2813388828038904000 3000948083241497600 3376066593646684800 3751185104051872000 4220083242058356000 4501422124862246400 5401706549834695680 5626777656077808000 6752133187293369600 7502370208103744000 8440166484116712000 9002844249724492800 11253555312155616000 13504266374586739200 15004740416207488000 16880332968233424000 22507110624311232000 27008532749173478400 33760665936466848000 45014221248622464000 67521331872933696000 135042663745867392000
- Sum of all divisors σ(n): 492238270904124888000
- Sum of proper divisors (its aliquot sum) s(n): 357195607158257496000
- 135042663745867392000 is an abundant number, because the sum of its proper divisors (357195607158257496000) is greater than itself. Its abundance is 222152943412390104000
Bases of 135042663745867392000
- Binary: 11101010010000101111110101100110000101011101111001010100100000000002
- Hexadecimal: 0x75217EB30AEF2A400
- Base-36: SHZO52RZ8CN40
Squares and roots of 135042663745867392000
- 135042663745867392000 squared (1350426637458673920002) is 18236521031579407277407958448881664000000
- 135042663745867392000 cubed (1350426637458673920003) is 2462708377562016635680032593236423766742964044300288000000000
-
The
square root of 135042663745867392000 is 11620785848.8945312809 -
The
cube root of 135042663745867392000 is 5130468.1829591043
Scales and comparisons
How big is 135042663745867392000?- 135,042,663,745,867,392,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 135,042,663,745,867,392,000 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 135042663745867392000 cubic inches would be around 427539 feet tall.
Recreational maths with 135042663745867392000
- 135042663745867392000 backwards is 000293768547366240531
- The number of decimal digits it has is: 21
- The sum of 135042663745867392000's digits is 81
- More coming soon!
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"Number 135042663745867392000 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 135042663745867392000 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/135042663745867392000/
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The information we have on file for 135042663745867392000 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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