128742494235241561920
128,742,494,235,241,561,920 is an even composite number composed of six prime numbers multiplied together.
128742494235241561920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 128742494235241561920:
26 × 35 × 5 × 72 × 31 × 1089953306093
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 31 × 1089953306093)See below for interesting mathematical facts about the number 128742494235241561920 from the Numbermatics database.
Names of 128742494235241561920
- Cardinal: 128742494235241561920 can be written as One hundred twenty-eight quintillion, seven hundred forty-two quadrillion, four hundred ninety-four trillion, two hundred thirty-five billion, two hundred forty-one million, five hundred sixty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.2874249423524156192 × 1020
Factors of 128742494235241561920
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 1089953306141
Divisors of 128742494235241561920
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 31 32 35 36 40 42 45 48 49 54 56 60 62 63 64 70 72 80 81 84 90 93 96 98 105 108 112 120 124 126 135 140 144 147 155 160 162 168 180 186 189 192 196 210 216 217 224 240 243 245 248 252 270 279 280 288 294 310 315 320 324 336 360 372 378 392 405 420 432 434 441 448 465 480 486 490 496 504 540 558 560 567 576 588 620 630 648 651 672 720 735 744 756 784 810 837 840 864 868 882 930 945 960 972 980 992 1008 1080 1085 1116 1120 1134 1176 1215 1240 1260 1296 1302 1323 1344 1395 1440 1470 1488 1512 1519 1568 1620 1674 1680 1701 1728 1736 1764 1860 1890 1944 1953 1960 1984 2016 2160 2170 2205 2232 2240 2268 2352 2430 2480 2511 2520 2592 2604 2646 2790 2835 2880 2940 2976 3024 3038 3136 3240 3255 3348 3360 3402 3472 3528 3720 3780 3888 3906 3920 3969 4032 4185 4320 4340 4410 4464 4536 4557 4704 4860 4960 5022 5040 5184 5208 5292 5580 5670 5859 5880 5952 6048 6076 6480 6510 6615 6696 6720 6804 6944 7056 7440 7533 7560 7595 7776 7812 7840 7938 8370 8505 8640 8680 8820 8928 9072 9114 9408 9720 9765 9920 10044 10080 10416 10584 11160 11340 11718 11760 11907 12096 12152 12555 12960 13020 13230 13392 13608 13671 13888 14112 14880 15066 15120 15190 15552 15624 15680 15876 16740 17010 17360 17577 17640 17856 18144 18228 19440 19530 19845 20088 20160 20832 21168 22320 22680 22785 23436 23520 23814 24304 25110 25920 26040 26460 26784 27216 27342 28224 29295 29760 30132 30240 30380 31248 31752 33480 34020 34720 35154 35280 36288 36456 37665 38880 39060 39690 40176 41013 41664 42336 44640 45360 45570 46872 47040 47628 48608 50220 52080 52731 52920 53568 54432 54684 58590 59535 60264 60480 60760 62496 63504 66960 68040 68355 69440 70308 70560 72912 75330 77760 78120 79380 80352 82026 84672 87885 89280 90720 91140 93744 95256 97216 100440 104160 105462 105840 108864 109368 117180 119070 120528 121520 123039 124992 127008 133920 136080 136710 140616 141120 145824 150660 156240 158760 160704 164052 175770 181440 182280 187488 190512 200880 205065 208320 210924 211680 218736 234360 238140 241056 243040 246078 254016 263655 267840 272160 273420 281232 291648 301320 312480 317520 328104 351540 364560 369117 374976 381024 401760 410130 421848 423360 437472 468720 476280 482112 486080 492156 527310 544320 546840 562464 602640 615195 624960 635040 656208 703080 729120 738234 762048 803520 820260 843696 874944 937440 952560 984312 1054620 1093680 1124928 1205280 1230390 1270080 1312416 1406160 1458240 1476468 1640520 1687392 1845585 1874880 1905120 1968624 2109240 2187360 2410560 2460780 2624832 2812320 2952936 3281040 3374784 3691170 3810240 3937248 4218480 4374720 4921560 5624640 5905872 6562080 7382340 7874496 8436960 9843120 11811744 13124160 14764680 16873920 19686240 23623488 29529360 39372480 59058720 118117440 1089953306093 2179906612186 3269859918279 4359813224372 5449766530465 6539719836558 7629673142651 8719626448744 9809579754837 10899533060930 13079439673116 15259346285302 16349299591395 17439252897488 19619159509674 21799066121860 22889019427953 26158879346232 29428739264511 30518692570604 32698599182790 33788552488883 34878505794976 38148365713255 39238319019348 43598132243720 45778038855906 49047898774185 52317758692464 53407711998557 58857478529022 61037385141208 65397198365580 67577104977766 68667058283859 69757011589952 76296731426510 78476638038696 87196264487440 88286217793533 91556077711812 98095797548370 101365657466649 104635517384928 106815423997114 114445097139765 117714957058044 122074770282416 130794396731160 135154209955532 137334116567718 147143696322555 152593462853020 156953276077392 160223135995671 168942762444415 174392528974880 176572435587066 183112155423624 196191595096740 202731314933298 206001174851577 209271034769856 213630847994228 228890194279530 235429914116088 236519867422181 244149540564832 261588793462320 264858653380599 267038559992785 270308419911064 274668233135436 294287392645110 304096972399947 305186925706040 313906552154784 320446271991342 337885524888830 343335291419295 348785057949760 353144871174132 366224310847248 392383190193480 405462629866596 412002349703154 427261695988456 441431088967665 457780388559060 470859828232176 473039734844362 480669407987013 488299081129664 506828287333245 523177586924640 529717306761198 534077119985570 540616839822128 549336466270872 588574785290220 608193944799894 610373851412080 618003524554731 627813104309568 640892543982684 675771049777660 686670582838590 706289742348264 709559602266543 732448621694496 784766380386960 801115679978355 810925259733192 824004699406308 854523391976912 882862177935330 912290917199841 915560777118120 941719656464352 946079469688724 961338815974026 1013656574666490 1030005874257885 1046355173849280 1059434613522396 1068154239971140 1081233679644256 1098672932541744 1177149570580440 1182599337110905 1216387889599788 1220747702824160 1236007049109462 1281785087965368 1324293266902995 1351542099555320 1373341165677180 1412579484696528 1419119204533086 1442008223961039 1464897243388992 1520484861999735 1569532760773920 1602231359956710 1621850519466384 1648009398812616 1655639071955267 1709046783953824 1765724355870660 1824581834399682 1831121554236240 1854010573664193 1883439312928704 1892158939377448 1922677631948052 2027313149332980 2060011748515770 2118869227044792 2128678806799629 2136308479942280 2162467359288512 2197345865083488 2354299141160880 2365198674221810 2403347039935065 2432775779199576 2441495405648320 2472014098218924 2563570175930736 2648586533805990 2703084199110640 2736872751599523 2746682331354360 2825158969393056 2838238409066172 2884016447922078 3040969723999470 3090017622773655 3139065521547840 3204462719913420 3243701038932768 3296018797625232 3311278143910534 3418093567907648 3531448711741320 3547798011332715 3649163668799364 3662243108472480 3708021147328386 3784317878754896 3845355263896104 4054626298665960 4120023497031540 4237738454089584 4257357613599258 4272616959884560 4326024671883117 4394691730166976 4561454585999205 4708598282321760 4730397348443620 4806694079870130 4865551558399152 4944028196437848 4966917215865801 5127140351861472 5297173067611980 5406168398221280 5473745503199046 5493364662708720 5650317938786112 5676476818132344 5768032895844156 6081939447998940 6180035245547310 6386036420398887 6408925439826840 6487402077865536 6592037595250464 6622556287821068 7062897423482640 7095596022665430 7210041119805195 7298327337598728 7324486216944960 7416042294656772 7568635757509792 7690710527792208 8109252597331920 8210618254798569 8240046994063080 8278195359776335 8475476908179168 8514715227198516 8545233919769120 8652049343766234 9122909171998410 9270052868320965 9417196564643520 9460794696887240 9613388159740260 9731103116798304 9888056392875696 9933834431731602 10254280703722944 10594346135223960 10643394033998145 10812336796442560 10947491006398092 10986729325417440 11352953636264688 11536065791688312 12163878895997880 12360070491094620 12772072840797774 12817850879653680 12978074015649351 13184075190500928 13245112575642136 13684363757997615 14125794846965280 14191192045330860 14420082239610390 14596654675197456 14832084589313544 14900751647597403 15137271515019584 15381421055584416 16218505194663840 16421236509597138 16480093988126160 16556390719552670 16950953816358336 17029430454397032 17090467839538240 17304098687532468 18245818343996820 18540105736641930 18921589393774480 19158109261196661 19226776319480520 19462206233596608 19776112785751392 19867668863463204 21188692270447920 21286788067996290 21630123359415585 21894982012796184 21973458650834880 22705907272529376 23072131583376624 24327757791995760 24720140982189240 24834586079329005 25544145681595548 25635701759307360 25956148031298702 26490225151284272 27368727515995230 28251589693930560 28382384090661720 28840164479220780 29193309350394912 29664169178627088 29801503295194806 30762842111168832 31930182101994435 32437010389327680 32842473019194276 32960187976252320 33112781439105340 34058860908794064 34608197375064936 36491636687993640 37080211473283860 37843178787548960 38316218522393322 38453552638961040 39552225571502784 39735337726926408 41053091273992845 42377384540895840 42573576135992580 43260246718831170 43789964025592368 44702254942792209 45411814545058752 46144263166753248 48655515583991520 49440281964378480 49669172158658010 51088291363191096 51271403518614720 51912296062597404 52980450302568544 54737455031990460 56764768181323440 57474327783589983 57680328958441560 58386618700789824 59328338357254176 59603006590389612 63860364203988870 64890370078246755 65684946038388552 65920375952504640 66225562878210680 68117721817588128 69216394750129872 72983273375987280 74160422946567720 74503758237987015 75686357575097920 76632437044786644 76907105277922080 79470675453852816 82106182547985690 84754769081791680 85147152271985160 86520493437662340 87579928051184736 89404509885584418 92288526333506496 95790546305983305 97311031167983040 98880563928756960 99338344317316020 102176582726382192 103824592125194808 105960900605137088 109474910063980920 113529536362646880 114948655567179966 115360657916883120 118656676714508352 119206013180779224 127720728407977740 129780740156493510 131369892076777104 132451125756421360 134106764828376627 136235443635176256 138432789500259744 145966546751974560 148320845893135440 149007516475974030 153264874089573288 153814210555844160 158941350907705632 164212365095971380 170294304543970320 173040986875324680 175159856102369472 178809019771168836 191581092611966610 197761127857513920 198676688634632040 204353165452764384 207649184250389616 218949820127961840 223511274713961045 227059072725293760 229897311134359932 230721315833766240 238412026361558448 255441456815955480 259561480312987020 262739784153554208 264902251512842720 268213529656753254 276865579000519488 287371638917949915 291933093503949120 296641691786270880 298015032951948060 306529748179146576 317882701815411264 328424730191942760 340588609087940640 346081973750649360 357618039542337672 383162185223933220 397353377269264080 402320294485129881 408706330905528768 415298368500779232 437899640255923680 447022549427922090 459794622268719864 461442631667532480 476824052723116896 510882913631910960 519122960625974040 525479568307108416 529804503025685440 536427059313506508 574743277835899830 593283383572541760 596030065903896120 613059496358293152 656849460383885520 670533824141883135 681177218175881280 692163947501298720 715236079084675344 766324370447866440 794706754538528160 804640588970259762 830596737001558464 875799280511847360 894045098855844180 919589244537439728 953648105446233792 1021765827263821920 1038245921251948080 1072854118627013016 1149486555671799660 1192060131807792240 1226118992716586304 1313698920767771040 1341067648283766270 1384327895002597440 1430472158169350688 1532648740895732880 1589413509077056320 1609281177940519524 1788090197711688360 1839178489074879456 2011601472425649405 2043531654527643840 2076491842503896160 2145708237254026032 2298973111343599320 2384120263615584480 2627397841535542080 2682135296567532540 2860944316338701376 3065297481791465760 3218562355881039048 3576180395423376720 3678356978149758912 4023202944851298810 4152983685007792320 4291416474508052064 4597946222687198640 4768240527231168960 5364270593135065080 6130594963582931520 6437124711762078096 7152360790846753440 8046405889702597620 8582832949016104128 9195892445374397280 10728541186270130160 12874249423524156192 14304721581693506880 16092811779405195240 18391784890748794560 21457082372540260320 25748498847048312384 32185623558810390480 42914164745080520640 64371247117620780960 128742494235241561920
- Sum of all divisors σ(n): 551428339534937399808
- Sum of proper divisors (its aliquot sum) s(n): 422685845299695837888
- 128742494235241561920 is an abundant number, because the sum of its proper divisors (422685845299695837888) is greater than itself. Its abundance is 293943351064454275968
Bases of 128742494235241561920
- Binary: 11011111010101010010011100001100110011001010101100100111111010000002
- Hexadecimal: 0x6FAA9386665593F40
- Base-36: R64I5DIHI2C00
Squares and roots of 128742494235241561920
- 128742494235241561920 squared (1287424942352415619202) is 16574629821911206803411049414561194086400
- 128742494235241561920 cubed (1287424942352415619203) is 2133859184298666417973109936774393690368864369905003429888000
-
The
square root of 128742494235241561920 is 11346474969.5771841473 -
The
cube root of 128742494235241561920 is 5049410.0442770109
Scales and comparisons
How big is 128742494235241561920?- 128,742,494,235,241,561,920 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 128,742,494,235,241,561,920 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 128742494235241561920 cubic inches would be around 420784.2 feet tall.
Recreational maths with 128742494235241561920
- 128742494235241561920 backwards is 029165142532494247821
- 128742494235241561920 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 128742494235241561920's digits is 81
- More coming soon!
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"Number 128742494235241561920 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 128742494235241561920 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/128742494235241561920/
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The information we have on file for 128742494235241561920 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 128742494235241561920, math, Factors of 128742494235241561920, curriculum, school, college, exams, university, Prime factorization of 128742494235241561920, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty-eight quintillion, seven hundred forty-two quadrillion, four hundred ninety-four trillion, two hundred thirty-five billion, two hundred forty-one million, five hundred sixty-one thousand, nine hundred twenty.