427428135026125440
427,428,135,026,125,440 is an even composite number composed of eight prime numbers multiplied together.
What does the number 427428135026125440 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1024 divisors.
427428135026125440 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 427428135026125440:
27 × 3 × 5 × 41 × 43 × 1163 × 11621 × 9343
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 41 × 43 × 1163 × 11621 × 9343)See below for interesting mathematical facts about the number 427428135026125440 from the Numbermatics database.
Names of 427428135026125440
- Cardinal: 427428135026125440 can be written as Four hundred twenty-seven quadrillion, four hundred twenty-eight trillion, one hundred thirty-five billion, twenty-six million, one hundred twenty-five thousand, four hundred forty.
Scientific notation
- Scientific notation: 4.2742813502612544 × 1017
Factors of 427428135026125440
Divisors of 427428135026125440
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 43 48 60 64 80 82 86 96 120 123 128 129 160 164 172 192 205 215 240 246 258 320 328 344 384 410 430 480 492 516 615 640 645 656 688 820 860 960 984 1032 1163 1230 1290 1312 1376 1640 1720 1763 1920 1968 2064 2326 2460 2580 2624 2752 3280 3440 3489 3526 3936 4128 4652 4920 5160 5248 5289 5504 5815 6560 6880 6978 7052 7872 8256 8815 9304 9343 9840 10320 10578 11621 11630 13120 13760 13956 14104 15744 16512 17445 17630 18608 18686 19680 20640 21156 23242 23260 26240 26445 27520 27912 28029 28208 34863 34890 35260 37216 37372 39360 41280 42312 46484 46520 46715 47683 50009 52890 55824 56058 56416 58105 69726 69780 70520 74432 74744 78720 82560 84624 92968 93040 93430 95366 100018 105780 111648 112116 112832 116210 139452 139560 140145 141040 143049 148864 149488 150027 169248 174315 185936 186080 186860 190732 200036 211560 223296 224232 225664 232420 238415 250045 278904 279120 280290 282080 286098 298976 300054 338496 348630 371872 372160 373720 381464 383063 400072 401749 423120 446592 448464 464840 476461 476830 499703 500090 557808 558240 560580 564160 572196 597952 600108 676992 697260 715245 743744 744320 747440 750135 762928 766126 800144 803498 846240 896928 929680 952922 953660 999406 1000180 1115616 1116480 1121160 1128320 1144392 1149189 1195904 1200216 1205247 1394520 1429383 1430490 1487488 1494880 1499109 1500270 1525856 1532252 1600288 1606996 1692480 1793856 1859360 1905844 1907320 1915315 1998812 2000360 2008745 2050369 2231232 2232960 2242320 2288784 2298378 2382305 2400432 2410494 2498515 2789040 2858766 2860980 2989760 2998218 3000540 3051712 3064504 3200576 3213992 3384960 3587712 3718720 3811688 3814640 3830630 3997624 4000720 4017490 4100738 4462464 4484640 4577568 4596756 4764610 4800864 4820988 4997030 5578080 5717532 5721960 5745945 5979520 5996436 6001080 6026235 6103424 6129008 6151107 6401152 6427984 7146915 7437440 7495545 7623376 7629280 7661260 7995248 8001440 8034980 8201476 8969280 9155136 9193512 9529220 9601728 9641976 9994060 10251845 10865909 11156160 11435064 11443920 11491890 11992872 12002160 12052470 12258016 12302214 12855968 13515223 14293830 14991090 15246752 15258560 15322520 15990496 16002880 16069960 16402952 16471709 17938560 18310272 18387024 19058440 19203456 19283952 19988120 20487823 20503690 21731818 22312320 22870128 22887840 22983780 23985744 24004320 24104940 24516032 24604428 25711936 27030446 28587660 29982180 30493504 30517120 30645040 30755535 31980992 32005760 32139920 32597727 32805904 32943418 36774048 38116880 38567904 39976240 40545669 40975646 41007380 43463636 45740256 45775680 45967560 47971488 48008640 48209880 49032064 49208856 49415127 51423872 54060892 54329545 57175320 59964360 60987008 61290080 61463469 61511070 63961984 64279840 65195454 65611808 65886836 67576115 73548096 76233760 77135808 79952480 81091338 81951292 82014760 82358545 86927272 91480512 91551360 91935120 95942976 96017280 96419760 98417712 98830254 102439115 108121784 108575003 108659090 114350640 119928720 122580160 122926938 123022140 128559680 130390908 131223616 131773672 135152230 147096192 152467520 154271616 159904960 162182676 162988635 163902584 164029520 164717090 173854544 182961024 183870240 191885952 192839520 196835424 197660508 202728345 204878230 216243568 217150006 217318180 228701280 239857440 245160320 245853876 246044280 247075635 257119360 260781816 262447232 263547344 270304460 304935040 307317345 319809920 324365352 325725009 325977270 327805168 328059040 329434180 347709088 367740480 385679040 393670848 395321016 405456690 409756460 432487136 434300012 434636360 445502269 457402560 467234087 479714880 491707752 492088560 494151270 521563632 527094688 540608920 542875015 554124143 581154589 614634690 648730704 651450018 651954540 655610336 656118080 658868360 695418176 735480960 771358080 787341696 790642032 810913380 819512920 864974272 868600024 869272720 891004538 914805120 934468174 959429760 983415504 984177120 988302540 1043127264 1054189376 1081217840 1085750030 1108248286 1162309178 1229269380 1297461408 1302900036 1303909080 1311220672 1312236160 1317736720 1336506807 1390836352 1401702261 1581284064 1621826760 1628625045 1639025840 1662372429 1729948544 1737200048 1738545440 1743463767 1782009076 1868936348 1966831008 1968354240 1976605080 2086254528 2108378752 2162435680 2171500060 2216496572 2227511345 2324618356 2336170435 2458538760 2594922816 2605800072 2607818160 2622441344 2635473440 2673013614 2770620715 2803404522 2905772945 3162568128 3243653520 3257250090 3278051680 3324744858 3474400096 3477090880 3486927534 3564018152 3737872696 3933662016 3936708480 3953210160 4172509056 4324871360 4343000120 4432993144 4451575123 4455022690 4649236712 4668725129 4672340870 4917077520 5189845632 5211600144 5215636320 5270946880 5346027228 5541241430 5606809044 5811545890 6325136256 6487307040 6514500180 6556103360 6649489716 6682534035 6948800192 6954181760 6973855068 7008511305 7128036304 7475745392 7867324032 7906420320 8311862145 8649742720 8686000240 8717318835 8865986288 8903150246 8910045380 9298473424 9337450258 9344681740 9834155040 10423200288 10431272640 10541893760 10692054456 11082482860 11213618088 11623091780 12974614080 13029000360 13112206720 13298979432 13354725369 13365068070 13897600384 13947710136 14006175387 14017022610 14256072608 14951490784 15812840640 16623724290 17372000480 17434637670 17731972576 17806300492 17820090760 18596946848 18674900516 18689363480 19156597567 19668310080 20846400576 20862545280 21384108912 22164965720 22257875615 22427236176 23246183560 23343625645 23827338149 25949228160 26058000720 26597958864 26709450738 26730136140 27895420272 28012350774 28034045220 28512145216 29902981568 31625681280 33247448580 34744000960 34869275340 35463945152 35612600984 35640181520 37193893696 37349801032 37378726960 38313195134 39336620160 41692801152 42768217824 44329931440 44515751230 44854472352 46492367120 46687251290 47654676298 52116001440 53195917728 53418901476 53460272280 55790840544 56024701548 56068090440 57024290432 57469792701 59805963136 66494897160 66773626845 69488001920 69738550680 70030876935 70927890304 71225201968 71280363040 71482014447 74387787392 74699602064 74757453920 76626390268 85536435648 88659862880 89031502460 89708944704 92984734240 93374502580 95309352596 95782987835 104232002880 106391835456 106837802952 106920544560 111581681088 112049403096 112136180880 114939585402 119136690745 126272728489 132989794320 133547253690 139477101360 140061753870 142450403936 142560726080 142964028894 149399204128 149514907840 153252780536 171072871296 177319725760 178063004920 179417889408 185969468480 186749005160 190618705192 191417730289 191565975670 208464005760 212783670912 213675605904 213841089120 223163362176 224098806192 224272361760 229879170804 238273381490 252545456978 265979588640 267094507380 278954202720 280123507740 284900807872 285121452160 285928057788 287348963505 298798408256 299029815680 306505561072 354639451520 356126009840 357410072235 371938936960 373498010320 378818185467 381237410384 382835460578 383131951340 427351211808 427682178240 448197612384 448544723520 459758341608 476546762980 505090913956 531959177280 534189014760 557908405440 560247015480 569801615744 571856115576 574253190867 574697927010 597596816512 613011122144 631363642445 712252019680 714820144470 746996020640 757636370934 762474820768 765670921156 766263902680 854702423616 855364356480 896395224768 897089447040 919516683216 953093525960 957088651445 1010181827912 1063918354560 1068378029520 1115816810880 1120494030960 1143712231152 1148506381734 1149395854020 1226022244288 1262727284890 1424504039360 1429640288940 1493992041280 1515272741868 1524949641536 1531341842312 1532527805360 1709404847232 1792790449536 1839033366432 1894090927335 1906187051920 1914177302890 2020363655824 2136756059040 2240988061920 2287424462304 2297012763468 2298791708040 2452044488576 2525454569780 2849008078720 2859280577880 2871265954335 2987984082560 3030545483736 3049899283072 3062683684624 3065055610720 3678066732864 3788181854670 3812374103840 3828354605780 4040727311648 4273512118080 4481976123840 4574848924608 4594025526936 4597583416080 5050909139560 5177181868049 5429727325027 5718561155760 5742531908670 6061090967472 6125367369248 6130111221440 7356133465728 7576363709340 7624748207680 7656709211560 8081454623296 8547024236160 8963952247680 9149697849216 9188051053872 9195166832160 10101818279120 10354363736098 10859454650054 11437122311520 11485063817340 12122181934944 12250734738496 12260222442880 15152727418680 15249496415360 15313418423120 15531545604147 16162909246592 16289181975081 18376102107744 18390333664320 20203636558240 20708727472196 21718909300108 22874244623040 22970127634680 24244363869888 24501469476992 25885909340245 27148636625135 30305454837360 30626836846240 31063091208294 32578363950162 36752204215488 36780667328640 40407273116480 41417454944392 43437818600216 45748489246080 45940255269360 48488727739776 51771818680490 54297273250270 60610909674720 61253673692480 62126182416588 65156727900324 73504408430976 77657728020735 80814546232960 81445909875405 82834909888784 86875637200432 91880510538720 103543637360980 108594546500540 121221819349440 122507347384960 124252364833176 130313455800648 155315456041470 162891819750810 165669819777568 173751274400864 183761021077440 207087274721960 217189093001080 222618820326107 242443638698880 248504729666352 260626911601296 310630912082940 325783639501620 331339639555136 347502548801728 367522042154880 414174549443920 434378186002160 445237640652214 497009459332704 521253823202592 621261824165880 651567279003240 662679279110272 667856460978321 695005097603456 828349098887840 868756372004320 890475281304428 994018918665408 1042507646405184 1113094101630535 1242523648331760 1303134558006480 1335712921956642 1656698197775680 1737512744008640 1780950562608856 1988037837330816 2085015292810368 2226188203261070 2485047296663520 2606269116012960 2671425843913284 3313396395551360 3339282304891605 3475025488017280 3561901125217712 4452376406522140 4970094593327040 5212538232025920 5342851687826568 6678564609783210 7123802250435424 8904752813044280 9940189186654080 10425076464051840 10685703375653136 13357129219566420 14247604500870848 17809505626088560 21371406751306272 26714258439132840 28495209001741696 35619011252177120 42742813502612544 53428516878265680 71238022504354240 85485627005225088 106857033756531360 142476045008708480 213714067513062720 427428135026125440
- Sum of all divisors σ(n): 1429618205995499520
- Sum of proper divisors (its aliquot sum) s(n): 1002190070969374080
- 427428135026125440 is an abundant number, because the sum of its proper divisors (1002190070969374080) is greater than itself. Its abundance is 574761935943248640
Bases of 427428135026125440
- Binary: 101111011101000011110011111110010110011110101101010100000002
- Hexadecimal: 0x5EE879FCB3D6A80
- Base-36: 38WMMMHB58QO
Squares and roots of 427428135026125440
- 427428135026125440 squared (4274281350261254402) is 182694810611911721191191338615193600
- 427428135026125440 cubed (4274281350261254403) is 78088902178800618086343755249722880957446923485184000
-
The
square root of 427428135026125440 is 653779882.7022176277 -
The
cube root of 427428135026125440 is 753276.4126662635
Scales and comparisons
How big is 427428135026125440?- 427,428,135,026,125,440 seconds is equal to 13,590,892,571 years, 41 weeks, 4 days, 17 hours, 4 minutes.
-
To count from 1 to 427,428,135,026,125,440 would take you about forty billion, seven hundred seventy-two million, six hundred seventy-seven thousand, seven hundred fifteen 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 427428135026125440 cubic inches would be around 62773 feet tall.
Recreational maths with 427428135026125440
- 427428135026125440 backwards is 044521620531824724
- 427428135026125440 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 427428135026125440's digits is 60
- More coming soon!
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"Number 427428135026125440 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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The information we have on file for 427428135026125440 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 427428135026125440, math, Factors of 427428135026125440, curriculum, school, college, exams, university, Prime factorization of 427428135026125440, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-seven quadrillion, four hundred twenty-eight trillion, one hundred thirty-five billion, twenty-six million, one hundred twenty-five thousand, four hundred forty.