135144889791916800
135,144,889,791,916,800 is an even composite number composed of six prime numbers multiplied together.
135144889791916800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred thirty divisors.
Prime factorization of 135144889791916800:
28 × 3 × 52 × 232 × 312 × 614
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 23 × 23 × 31 × 31 × 61 × 61 × 61 × 61)See below for interesting mathematical facts about the number 135144889791916800 from the Numbermatics database.
Names of 135144889791916800
- Cardinal: 135144889791916800 can be written as One hundred thirty-five quadrillion, one hundred forty-four trillion, eight hundred eighty-nine billion, seven hundred ninety-one million, nine hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.351448897919168 × 1017
Factors of 135144889791916800
Divisors of 135144889791916800
- Number of divisors d(n): 2430
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 31 32 40 46 48 50 60 61 62 64 69 75 80 92 93 96 100 115 120 122 124 128 138 150 155 160 183 184 186 192 200 230 240 244 248 256 276 300 305 310 320 345 366 368 372 384 400 460 465 480 488 496 529 552 575 600 610 620 640 690 713 732 736 744 768 775 800 915 920 930 960 961 976 992 1058 1104 1150 1200 1220 1240 1280 1380 1403 1426 1464 1472 1488 1525 1550 1587 1600 1725 1830 1840 1860 1891 1920 1922 1952 1984 2116 2139 2208 2300 2325 2400 2440 2480 2645 2760 2806 2852 2883 2928 2944 2976 3050 3100 3174 3200 3450 3565 3660 3680 3720 3721 3782 3840 3844 3904 3968 4209 4232 4278 4416 4575 4600 4650 4800 4805 4880 4960 5290 5520 5612 5673 5704 5766 5856 5888 5952 6100 6200 6348 6400 6900 7015 7130 7320 7360 7440 7442 7564 7688 7808 7935 7936 8418 8464 8556 8832 9150 9200 9300 9455 9600 9610 9760 9920 10580 10695 11040 11163 11224 11346 11408 11532 11712 11904 12200 12400 12696 13225 13800 14030 14260 14415 14640 14720 14880 14884 15128 15376 15616 15870 16399 16836 16928 17112 17664 17825 18300 18400 18600 18605 18910 19200 19220 19520 19840 21045 21160 21390 22080 22103 22326 22448 22692 22816 23064 23424 23808 24025 24400 24800 25392 26450 27600 28060 28365 28520 28830 29280 29440 29760 29768 30256 30752 31740 32269 32798 33672 33856 34224 35075 35650 36600 36800 37200 37210 37820 38440 39040 39675 39680 42090 42320 42780 43493 44160 44206 44652 44896 45384 45632 46128 46848 47275 48050 48800 49197 49600 50784 52900 53475 55200 55815 56120 56730 57040 57660 58560 58621 59520 59536 60512 61504 63480 64538 65596 66309 67344 67712 68448 70150 71300 72075 73200 73600 74400 74420 75640 76880 78080 79350 81995 84180 84640 85560 85583 86986 88320 88412 89304 89792 90768 91264 92256 93025 94550 96100 96807 97600 98394 99200 101568 105225 105800 106950 110400 110515 111630 112240 113460 114080 115320 115351 117120 117242 119040 119072 121024 123008 126960 129076 130479 131192 132618 134688 135424 136896 140300 141825 142600 144150 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2747014854400 2769362495736 2812588757376 2858696769792 2884752599725 2929779955600 2961625389900 2977809135200 3010176625800 3026625678400 3057161692800 3060346236230 3107279097600 3159067082560 3193404768240 3210855067520 3405869198385 3406298419456 3461703119670 3515735946720 3573370962240 3631950814080 3632927144944 3672415483476 3692483327648 3790880499072 3853026081024 3948833853200 3991755960300 4013568834400 4120522281600 4188071827200 4257873024320 4394669933400 4466713702800 4539938517600 4541158931180 4590519354345 4615604159560 4687647928960 4738600623840 4764494616320 4816282601280 4896553977968 5109447629184 5322341280400 5449390717416 5538724991472 5625177514752 5676448663975 5769505199450 5859559911200 5923250779800 5955618270400 6020353251600 6053251356800 6114323385600 6120692472460 6318134165120 6386809536480 6421710135040 6811738396770 6923406239340 7031471893440 7038796343329 7146741924480 7263901628160 7265854289888 7344830966952 7384966655296 7581760998144 7650865590575 7897667706400 7983511920600 8027137668800 8241044563200 8515746048640 8654257799175 8789339866800 8933427405600 9079877035200 9082317862360 9181038708690 9231208319120 9375295857920 9477201247680 9632565202560 9793107955936 10218895258368 10644682560800 10898781434832 11077449982944 11352897327950 11539010398900 11719119822400 11846501559600 11911236540800 12040706503200 12106502713600 12241384944920 12636268330240 12773619072960 13623476793540 13846812478680 14062943786880 14077592686658 14293483848960 14531708579776 14689661933904 14769933310592 15301731181150 15795335412800 15967023841200 16054275337600 17029345991925 17031492097280 17308515598350 17578679733600 17866854811200 18159754070400 18164635724720 18362077417380 18462416638240 18954402495360 19265130405120 19586215911872 21116389029987 21289365121600 21797562869664 22154899965888 22705794655900 22952596771725 23078020797800 23438239644800 23693003119200 23822473081600 24081413006400 24482769889840 25547238145920 27246953587080 27693624957360 28125887573760 28155185373316 29063417159552 29379323867808 29539866621184 30603462362300 31590670825600 31934047682400 32108550675200 34058691983850 34617031196700 35157359467200 35193981716645 35733709622400 36319508140800 36329271449440 36724154834760 36924833276480 37908804990720 39172431823744 42232778059974 42578730243200 43595125739328 44309799931776 45411589311800 45905193543450 46156041595600 46876479289600 47386006238400 48162826012800 48965539779680 51094476291840 54493907174160 55387249914720 56310370746632 58126834319104 58758647735616 61206924724600 63181341651200 63868095364800 68117383967700 69234062393400 70314718934400 70387963433290 71467419244800 72658542898880 73448309669520 73849666552960 78344863647488 84465556119948 85157460486400 87190251478656 88619599863552 90823178623600 91810387086900 92312083191200 94772012476800 96325652025600 97931079559360 105581945149935 108987814348320 110774499829440 112620741493264 117517295471232 122413849449200 127736190729600 136234767935400 138468124786800 140629437868800 140775926866580 145317085797760 146896619339040 147699333105920 168931112239896 174380502957312 175969908583225 181646357247200 183620774173800 184624166382400 189544024953600 195862159118720 211163890299870 217975628696640 221548999658880 225241482986528 235034590942464 244827698898400 255472381459200 272469535870800 276936249573600 281551853733160 290634171595520 293793238678080 337862224479792 351939817166450 363292714494400 367241548347600 369248332764800 391724318237440 422327780599740 435951257393280 443097999317760 450482965973056 489655397796800 527909725749675 544939071741600 553872499147200 563103707466320 587586477356160 675724448959584 703879634332900 726585428988800 734483096695200 738496665529600 844655561199480 871902514786560 900965931946112 979310795593600 1055819451499350 1089878143483200 1107744998294400 1126207414932640 1175172954712320 1351448897919168 1407759268665800 1453170857977600 1468966193390400 1689311122398960 1801931863892224 1958621591187200 2111638902998700 2179756286966400 2215489996588800 2252414829865280 2702897795838336 2815518537331600 2937932386780800 3378622244797920 4223277805997400 4359512573932800 4504829659730560 5405795591676672 5631037074663200 5875864773561600 6757244489595840 8446555611994800 9009659319461120 11262074149326400 13514488979191680 16893111223989600 22524148298652800 27028977958383360 33786222447979200 45048296597305600 67572444895958400 135144889791916800
- Sum of all divisors σ(n): 489795611121679380
- Sum of proper divisors (its aliquot sum) s(n): 354650721329762580
- 135144889791916800 is an abundant number, because the sum of its proper divisors (354650721329762580) is greater than itself. Its abundance is 219505831537845780
Bases of 135144889791916800
- Binary: 1111000000010000110001111101011010100000110101011000000002
- Hexadecimal: 0x1E0218FAD41AB00
- Base-36: 10YOV5A4GETC
Squares and roots of 135144889791916800
- 135144889791916800 squared (1351448897919168002) is 18264141236869337693602618122240000
- 135144889791916800 cubed (1351448897919168003) is 2468305354600709633155049760676679046346309632000000
-
The
square root of 135144889791916800 is 367620578.5751347189 -
The
cube root of 135144889791916800 is 513176.2428739909
Scales and comparisons
How big is 135144889791916800?- 135,144,889,791,916,800 seconds is equal to 4,297,189,464 years, 41 weeks, 1 day, 5 hours, 20 minutes.
-
To count from 1 to 135,144,889,791,916,800 would take you about twelve billion, eight hundred ninety-one million, five hundred sixty-eight thousand, three hundred ninety-four 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 135144889791916800 cubic inches would be around 42764.7 feet tall.
Recreational maths with 135144889791916800
- 135144889791916800 backwards is 008619197988441531
- The number of decimal digits it has is: 18
- The sum of 135144889791916800's digits is 84
- More coming soon!
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"Number 135144889791916800 - Facts about the integer". Numbermatics.com. 2024. Web. 2 June 2024.
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Numbermatics. (2024). Number 135144889791916800 - Facts about the integer. Retrieved 2 June 2024, from https://numbermatics.com/n/135144889791916800/
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The information we have on file for 135144889791916800 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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