2140337363478988800
2,140,337,363,478,988,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 2140337363478988800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 576 divisors.
2140337363478988800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 2140337363478988800:
211 × 3 × 52 × 7 × 37 × 53801112137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 37 × 53801112137)See below for interesting mathematical facts about the number 2140337363478988800 from the Numbermatics database.
Names of 2140337363478988800
- Cardinal: 2140337363478988800 can be written as Two quintillion, one hundred forty quadrillion, three hundred thirty-seven trillion, three hundred sixty-three billion, four hundred seventy-eight million, nine hundred eighty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.1403373634789888 × 1018
Factors of 2140337363478988800
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 53801112191
Divisors of 2140337363478988800
- Number of divisors d(n): 576
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 37 40 42 48 50 56 60 64 70 74 75 80 84 96 100 105 111 112 120 128 140 148 150 160 168 175 185 192 200 210 222 224 240 256 259 280 296 300 320 336 350 370 384 400 420 444 448 480 512 518 525 555 560 592 600 640 672 700 740 768 777 800 840 888 896 925 960 1024 1036 1050 1110 1120 1184 1200 1280 1295 1344 1400 1480 1536 1554 1600 1680 1776 1792 1850 1920 2048 2072 2100 2220 2240 2368 2400 2560 2590 2688 2775 2800 2960 3072 3108 3200 3360 3552 3584 3700 3840 3885 4144 4200 4440 4480 4736 4800 5120 5180 5376 5550 5600 5920 6144 6216 6400 6475 6720 7104 7168 7400 7680 7770 8288 8400 8880 8960 9472 9600 10240 10360 10752 11100 11200 11840 12432 12800 12950 13440 14208 14336 14800 15360 15540 16576 16800 17760 17920 18944 19200 19425 20720 21504 22200 22400 23680 24864 25600 25900 26880 28416 29600 30720 31080 33152 33600 35520 35840 37888 38400 38850 41440 43008 44400 44800 47360 49728 51200 51800 53760 56832 59200 62160 66304 67200 71040 71680 75776 76800 77700 82880 88800 89600 94720 99456 103600 107520 113664 118400 124320 132608 134400 142080 153600 155400 165760 177600 179200 189440 198912 207200 215040 227328 236800 248640 265216 268800 284160 310800 331520 355200 358400 378880 397824 414400 473600 497280 530432 537600 568320 621600 663040 710400 795648 828800 947200 994560 1075200 1136640 1243200 1326080 1420800 1591296 1657600 1894400 1989120 2486400 2652160 2841600 3315200 3978240 4972800 5683200 6630400 7956480 9945600 13260800 19891200 39782400 53801112137 107602224274 161403336411 215204448548 269005560685 322806672822 376607784959 430408897096 538011121370 645613345644 753215569918 807016682055 860817794192 1076022242740 1129823354877 1291226691288 1345027803425 1506431139836 1614033364110 1721635588384 1883038924795 1990641149069 2152044485480 2259646709754 2582453382576 2690055606850 3012862279672 3228066728220 3443271176768 3766077849590 3981282298138 4035083410275 4304088970960 4519293419508 5164906765152 5380111213700 5649116774385 5971923447207 6025724559344 6456133456440 6886542353536 7532155699180 7962564596276 8070166820550 8608177941920 9038586839016 9415194623975 9953205745345 10329813530304 10760222427400 11298233548770 11943846894414 12051449118688 12912266912880 13773084707072 13934488043483 15064311398360 15925129192552 16140333641100 17216355883840 18077173678032 18830389247950 19906411490690 20659627060608 21520444854800 22596467097540 23887693788828 24102898237376 25824533825760 27546169414144 27868976086966 28245583871925 29859617236035 30128622796720 31850258385104 32280667282200 34432711767680 36154347356064 37660778495900 39812822981380 41319254121216 41803464130449 43040889709600 45192934195080 47775387577656 48205796474752 49766028726725 51649067651520 55092338828288 55737952173932 56491167743850 59719234472070 60257245593440 63700516770208 64561334564400 68865423535360 69672440217415 72308694712128 75321556991800 79625645962760 82638508242432 83606928260898 86081779419200 90385868390160 95550775155312 96411592949504 99532057453450 103298135303040 110184677656576 111475904347864 112982335487700 119438468944140 120514491186880 127401033540416 129122669128800 137730847070720 139344880434830 144617389424256 149298086180175 150643113983600 159251291925520 165277016484864 167213856521796 172163558838400 180771736780320 191101550310624 192823185899008 199064114906900 206596270606080 209017320652245 222951808695728 225964670975400 238876937888280 241028982373760 254802067080832 258245338257600 275461694141440 278689760869660 289234778848512 298596172360350 301286227967200 318502583851040 330554032969728 334427713043592 344327117676800 348362201087075 361543473560640 382203100621248 385646371798016 398128229813800 413192541212160 418034641304490 445903617391456 451929341950800 477753875776560 482057964747520 509604134161664 516490676515200 550923388282880 557379521739320 578469557697024 597192344720700 602572455934400 637005167702080 668855426087184 688654235353600 696724402174150 723086947121280 764406201242496 771292743596032 796256459627600 826385082424320 836069282608980 891807234782912 903858683901600 955507751553120 964115929495040 1019208268323328 1032981353030400 1045086603261225 1114759043478640 1156939115394048 1194384689441400 1205144911868800 1274010335404160 1337710852174368 1377308470707200 1393448804348300 1446173894242560 1528812402484992 1592512919255200 1652770164848640 1672138565217960 1783614469565824 1807717367803200 1911015503106240 1928231858990080 2038416536646656 2065962706060800 2090173206522450 2229518086957280 2313878230788096 2388769378882800 2410289823737600 2548020670808320 2675421704348736 2754616941414400 2786897608696600 2892347788485120 3057624804969984 3185025838510400 3344277130435920 3567228939131648 3615434735606400 3822031006212480 3856463717980160 4076833073293312 4131925412121600 4180346413044900 4459036173914560 4777538757765600 4820579647475200 5096041341616640 5350843408697472 5573795217393200 5784695576970240 6115249609939968 6370051677020800 6688554260871840 7134457878263296 7230869471212800 7644062012424960 8263850824243200 8360692826089800 8918072347829120 9555077515531200 9641159294950400 10192082683233280 10701686817394944 11147590434786400 11569391153940480 12230499219879936 12740103354041600 13377108521743680 14268915756526592 14461738942425600 15288124024849920 16721385652179600 17836144695658240 19110155031062400 19282318589900800 20384165366466560 21403373634789888 22295180869572800 25480206708083200 26754217043487360 28537831513053184 28923477884851200 30576248049699840 33442771304359200 35672289391316480 38220310062124800 42806747269579776 44590361739145600 50960413416166400 53508434086974720 57846955769702400 61152496099399680 66885542608718400 71344578782632960 76440620124249600 85613494539159552 89180723478291200 101920826832332800 107016868173949440 133771085217436800 142689157565265920 152881240248499200 178361446956582400 214033736347898880 267542170434873600 305762480496998400 356722893913164800 428067472695797760 535084340869747200 713445787826329600 1070168681739494400 2140337363478988800
- Sum of all divisors σ(n): 8305015131315826560
- Sum of proper divisors (its aliquot sum) s(n): 6164677767836837760
- 2140337363478988800 is an abundant number, because the sum of its proper divisors (6164677767836837760) is greater than itself. Its abundance is 4024340404357848960
Bases of 2140337363478988800
- Binary: 11101101101000000000101111101111110011010100101001000000000002
- Hexadecimal: 0x1DB4017DF9A94800
- Base-36: G9EM9URAAMTC
Squares and roots of 2140337363478988800
- 2140337363478988800 squared (21403373634789888002) is 4581044029504189019426499070525440000
- 2140337363478988800 cubed (21403373634789888003) is 9804979700090158905732244886318646752006815875072000000
-
The
square root of 2140337363478988800 is 1462989187.7519084385 -
The
cube root of 2140337363478988800 is 1288726.4564911943
Scales and comparisons
How big is 2140337363478988800?- 2,140,337,363,478,988,800 seconds is equal to 68,056,107,660 years, 24 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 2,140,337,363,478,988,800 would take you about two hundred thirty-eight billion, one hundred ninety-six million, three hundred seventy-six thousand, eight hundred eleven 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 2140337363478988800 cubic inches would be around 107393.9 feet tall.
Recreational maths with 2140337363478988800
- 2140337363478988800 backwards is 0088898743637330412
- 2140337363478988800 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 2140337363478988800's digits is 84
- More coming soon!
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The information we have on file for 2140337363478988800 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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