13743171163050097075200
13,743,171,163,050,097,075,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 13743171163050097075200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1980 divisors.
13743171163050097075200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred eighty divisors.
Prime factorization of 13743171163050097075200:
210 × 34 × 52 × 172 × 31 × 739779742223
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 17 × 31 × 739779742223)See below for interesting mathematical facts about the number 13743171163050097075200 from the Numbermatics database.
Names of 13743171163050097075200
- Cardinal: 13743171163050097075200 can be written as Thirteen sextillion, seven hundred forty-three quintillion, one hundred seventy-one quadrillion, one hundred sixty-three trillion, fifty billion, ninety-seven million, seventy-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.37431711630500970752 × 1022
Factors of 13743171163050097075200
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 20
- Sum of prime factors: 739779742281
Divisors of 13743171163050097075200
- Number of divisors d(n): 1980
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 31 32 34 36 40 45 48 50 51 54 60 62 64 68 72 75 80 81 85 90 93 96 100 102 108 120 124 128 135 136 144 150 153 155 160 162 170 180 186 192 200 204 216 225 240 248 255 256 270 272 279 288 289 300 306 310 320 324 340 360 372 384 400 405 408 425 432 450 459 465 480 496 510 512 527 540 544 558 576 578 600 612 620 640 648 675 680 720 744 765 768 775 800 810 816 837 850 864 867 900 918 930 960 992 1020 1024 1054 1080 1088 1116 1152 1156 1200 1224 1240 1275 1280 1296 1350 1360 1377 1395 1440 1445 1488 1530 1536 1550 1581 1600 1620 1632 1674 1700 1728 1734 1800 1836 1860 1920 1984 2025 2040 2108 2160 2176 2232 2295 2304 2312 2325 2400 2448 2480 2511 2550 2560 2592 2601 2635 2700 2720 2754 2790 2880 2890 2976 3060 3072 3100 3162 3200 3240 3264 3348 3400 3456 3468 3600 3672 3720 3825 3840 3968 4050 4080 4185 4216 4320 4335 4352 4464 4590 4608 4624 4650 4743 4800 4896 4960 5022 5100 5120 5184 5202 5270 5400 5440 5508 5580 5760 5780 5952 6120 6200 6324 6400 6480 6528 6696 6800 6885 6912 6936 6975 7200 7225 7344 7440 7650 7680 7803 7905 7936 8100 8160 8370 8432 8640 8670 8704 8928 8959 9180 9216 9248 9300 9486 9600 9792 9920 10044 10200 10368 10404 10540 10800 10880 11016 11160 11475 11520 11560 11904 12240 12400 12555 12648 12800 12960 13005 13056 13175 13392 13600 13770 13824 13872 13950 14229 14400 14450 14688 14880 15300 15360 15606 15810 15872 16200 16320 16740 16864 17280 17340 17408 17856 17918 18360 18496 18600 18972 19200 19584 19840 20088 20400 20736 20808 20925 21080 21600 21675 21760 22032 22320 22950 23040 23120 23409 23715 23808 24480 24800 25110 25296 25600 25920 26010 26112 26350 26784 26877 27200 27540 27648 27744 27900 28458 28800 28900 29376 29760 30600 31212 31620 31744 32400 32640 33480 33728 34425 34560 34680 35712 35836 36720 36992 37200 37944 38400 39015 39168 39525 39680 40176 40800 41472 41616 41850 42160 42687 43200 43350 43520 44064 44640 44795 45900 46080 46240 46818 47430 47616 48960 49600 50220 50592 51840 52020 52224 52700 53568 53754 54400 55080 55488 55800 56916 57600 57800 58752 59520 61200 62424 62775 63240 64800 65025 65280 66960 67456 68850 69120 69360 71145 71424 71672 73440 73984 74400 75888 76800 78030 78336 79050 79360 80352 80631 81600 82944 83232 83700 84320 85374 86400 86700 87040 88128 89280 89590 91800 92480 93636 94860 95232 97920 99200 100440 101184 103680 104040 105400 107136 107508 108800 110160 110976 111600 113832 115200 115600 117045 117504 118575 119040 122400 124848 125550 126480 129600 130050 130560 133920 134385 134912 137700 138240 138720 142290 142848 143344 146880 147968 148800 151776 156060 156672 158100 158720 160704 161262 163200 166464 167400 168640 170748 172800 173400 176256 178560 179180 183600 184960 187272 189720 195075 195840 198400 200880 202368 207360 208080 210800 213435 214272 215016 217600 220320 221952 223200 223975 227664 230400 231200 234090 235008 237150 238080 241893 244800 249696 251100 252960 259200 260100 261120 267840 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1988306013172757100 1996103291655787520 2021054582801484864 2052444916823491200 2105265190418213400 2120859747384274240 2147370494226577668 2173176970754284800 2216640510169370496 2245616203112760960 2309000531426427600 2377711273884099840 2385967215807308520 2462933900188189440 2495129114569734400 2526318228501856080 2545031696861129088 2607812364905141760 2641901415426777600 2651074684230342800 2684213117783222085 2694739443735313152 2736593222431321600 2770800637711713120 2807020253890951200 2863160658968770224 2897569294339046400 2955520680225827328 2972139092355124800 2982459019759135650 2994154937483681280 3078667375235236800 3157897785627320100 3170281698512133120 3181289621076411360 3259765456131427200 3283911866917585920 3368424304669141440 3393375595814838784 3463500797139641400 3578950823710962780 3592985924980417536 3694400850282284160 3742693671854601600 3817547545291693632 3962852123140166400 3976612026345514200 4042109165602969728 4104889833646982400 4210530380836426800 4241719494768548480 4294740988453155336 4346353941508569600 4433281020338740992 4473688529638703475 4491232406225521920 4618001062852855200 4755422547768199680 4771934431614617040 4925867800376378880 4990258229139468800 5052636457003712160 5090063393722258176 5215624729810283520 5283802830853555200 5302149368460685600 5368426235566444170 5389478887470626304 5473186444862643200 5541601275423426240 5614040507781902400 5726321317937540448 5911041360451654656 5944278184710249600 5964918039518271300 5988309874967362560 6157334750470473600 6315795571254640200 6362579242152822720 6519530912262854400 6736848609338282880 6786751191629677568 6927001594279282800 7157901647421925560 7388801700564568320 7485387343709203200 7635095090583387264 7925704246280332800 7953224052691028400 8084218331205939456 8209779667293964800 8421060761672853600 8483438989537096960 8589481976906310672 8692707883017139200 8866562040677481984 8947377059277406950 8982464812451043840 9236002125705710400 9510845095536399360 9543868863229234080 9851735600752757760 9980516458278937600 10105272914007424320 10180126787444516352 10604298736921371200 10736852471132888340 10778957774941252608 11083202550846852480 11228081015563804800 11452642635875080896 11888556369420499200 11929836079036542600 12314669500940947200 12631591142509280400 12725158484305645440 13039061824525708800 13421065588916110425 13473697218676565760 13854003188558565600 14315803294843851120 14777603401129136640 14970774687418406400 15270190181166774528 15851408492560665600 15906448105382056800 16168436662411878912 16419559334587929600 16842121523345707200 16966877979074193920 17178963953812621344 17733124081354963968 17894754118554813900 17964929624902087680 18472004251411420800 19087737726458468160 20210545828014848640 20360253574889032704 21208597473842742400 21473704942265776680 22166405101693704960 22456162031127609600 22905285271750161792 23777112738840998400 23859672158073085200 24629339001881894400 25263182285018560800 25450316968611290880 26078123649051417600 26842131177832220850 26947394437353131520 27708006377117131200 28631606589687702240 29555206802258273280 29941549374836812800 30540380362333549056 31812896210764113600 32336873324823757824 33684243046691414400 33933755958148387840 34357927907625242688 35789508237109627800 36944008502822841600 38175475452916936320 40421091656029697280 42417194947685484800 42947409884531553360 44332810203387409920 44912324062255219200 45810570543500323584 47554225477681996800 47719344316146170400 49258678003763788800 50526364570037121600 50900633937222581760 53684262355664441700 53894788874706263040 55416012754234262400 57263213179375404480 61080760724667098112 63625792421528227200 67368486093382828800 68715855815250485376 71579016474219255600 73888017005645683200 76350950905833872640 80842183312059394560 84834389895370969600 85894819769063106720 88665620406774819840 89824648124510438400 91621141087000647168 95438688632292340800 101052729140074243200 101801267874445163520 107368524711328883400 110832025508468524800 114526426358750808960 127251584843056454400 134736972186765657600 137431711630500970752 143158032948438511200 147776034011291366400 152701901811667745280 161684366624118789120 169668779790741939200 171789639538126213440 183242282174001294336 190877377264584681600 202105458280148486400 214737049422657766800 221664051016937049600 229052852717501617920 254503169686112908800 269473944373531315200 274863423261001941504 286316065896877022400 305403803623335490560 343579279076252426880 381754754529169363200 404210916560296972800 429474098845315533600 443328102033874099200 458105705435003235840 509006339372225817600 549726846522003883008 572632131793754044800 687158558152504853760 763509509058338726400 808421833120593945600 858948197690631067200 916211410870006471680 1145264263587508089600 1374317116305009707520 1527019018116677452800 1717896395381262134400 2290528527175016179200 2748634232610019415040 3435792790762524268800 4581057054350032358400 6871585581525048537600 13743171163050097075200
- Sum of all divisors σ(n): 55802762004526366275072
- Sum of proper divisors (its aliquot sum) s(n): 42059590841476269199872
- 13743171163050097075200 is an abundant number, because the sum of its proper divisors (42059590841476269199872) is greater than itself. Its abundance is 28316419678426172124672
Bases of 13743171163050097075200
- Binary: 101110100100000100110100000010111001011010010000010001000101100100000000002
- Hexadecimal: 0x2E904D02E5A41116400
- Base-36: 28KE66B978GU800
Squares and roots of 13743171163050097075200
- 13743171163050097075200 squared (137431711630500970752002) is 188874753616891757927481074632143594455040000
- 13743171163050097075200 cubed (137431711630500970752003) is 2595738067335858829976661448499879895732095738000132441899008000000
-
The
square root of 13743171163050097075200 is 117231272120.7532451777 -
The
cube root of 13743171163050097075200 is 23953132.5891751681
Scales and comparisons
How big is 13743171163050097075200?- 13,743,171,163,050,097,075,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,743,171,163,050,097,075,200 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 13743171163050097075200 cubic inches would be around 1996094.4 feet tall.
Recreational maths with 13743171163050097075200
- 13743171163050097075200 backwards is 00257079005036117134731
- 13743171163050097075200 is a
Harshad number . - The number of decimal digits it has is: 23
- The sum of 13743171163050097075200's digits is 72
- More coming soon!
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"Number 13743171163050097075200 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 13743171163050097075200 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/13743171163050097075200/
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Numbermatics. 2024. "Number 13743171163050097075200 - Facts about the integer". https://numbermatics.com/n/13743171163050097075200/
The information we have on file for 13743171163050097075200 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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