138669373760716800
138,669,373,760,716,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 138669373760716800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2430 divisors.
138669373760716800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, four hundred thirty divisors.
Prime factorization of 138669373760716800:
214 × 38 × 52 × 1992 × 1303
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 199 × 199 × 1303)See below for interesting mathematical facts about the number 138669373760716800 from the Numbermatics database.
Names of 138669373760716800
- Cardinal: 138669373760716800 can be written as One hundred thirty-eight quadrillion, six hundred sixty-nine trillion, three hundred seventy-three billion, seven hundred sixty million, seven hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.386693737607168 × 1017
Factors of 138669373760716800
Divisors of 138669373760716800
- Number of divisors d(n): 2430
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 128 135 144 150 160 162 180 192 199 200 216 225 240 243 256 270 288 300 320 324 360 384 398 400 405 432 450 480 486 512 540 576 597 600 640 648 675 720 729 768 796 800 810 864 900 960 972 995 1024 1080 1152 1194 1200 1215 1280 1296 1303 1350 1440 1458 1536 1592 1600 1620 1728 1791 1800 1920 1944 1990 2025 2048 2160 2187 2304 2388 2400 2430 2560 2592 2606 2700 2880 2916 2985 3072 3184 3200 3240 3456 3582 3600 3645 3840 3888 3909 3980 4050 4096 4320 4374 4608 4776 4800 4860 4975 5120 5184 5212 5373 5400 5760 5832 5970 6075 6144 6368 6400 6480 6515 6561 6912 7164 7200 7290 7680 7776 7818 7960 8100 8192 8640 8748 8955 9216 9552 9600 9720 9950 10240 10368 10424 10746 10800 10935 11520 11664 11727 11940 12150 12288 12736 12800 12960 13030 13122 13824 14328 14400 14580 14925 15360 15552 15636 15920 16119 16200 16384 17280 17496 17910 18225 18432 19104 19200 19440 19545 19900 20480 20736 20848 21492 21600 21870 23040 23328 23454 23880 24300 24576 25472 25600 25920 26060 26244 26865 27648 28656 28800 29160 29850 30720 31104 31272 31840 32238 32400 32575 32805 34560 34992 35181 35820 36450 36864 38208 38400 38880 39090 39601 39800 40960 41472 41696 42984 43200 43740 44775 46080 46656 46908 47760 48357 48600 49152 50944 51200 51840 52120 52488 53730 54675 55296 57312 57600 58320 58635 59700 61440 62208 62544 63680 64476 64800 65150 65610 69120 69984 70362 71640 72900 73728 76416 76800 77760 78180 79202 79600 80595 81920 82944 83392 85968 86400 87480 89550 92160 93312 93816 95520 96714 97200 97725 101888 102400 103680 104240 104976 105543 107460 109350 110592 114624 115200 116640 117270 118803 119400 122880 124416 125088 127360 128952 129600 130300 131220 134325 138240 139968 140724 143280 145071 145800 147456 152832 153600 155520 156360 158404 159200 161190 164025 165888 166784 171936 172800 174960 175905 179100 184320 186624 187632 191040 193428 194400 195450 198005 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1814664124800 1880823754350 1902186196992 1935641733120 1970799206400 1981443955200 2006212004640 2113540218880 2128463142912 2139959471616 2150713036800 2177596949760 2217149107200 2229124449600 2256988505220 2322770079744 2364959047680 2377732746240 2407454405568 2419552166400 2507765005800 2536248262656 2580855644160 2641925273600 2660578928640 2674949339520 2708386206264 2721996187200 2821235631525 2853279295488 2867617382400 2903462599680 2956198809600 2972165932800 3009318006960 3097026772992 3170310328320 3209939207424 3226069555200 3325723660800 3343686674400 3385482757830 3484155119616 3501663436800 3547438571520 3566599119360 3611181608352 3629328249600 3761647508700 3804372393984 3871283466240 3941598412800 3962887910400 4012424009280 4227080437760 4256926285824 4279918943232 4301426073600 4355193899520 4434298214400 4458248899200 4513977010440 4645540159488 4755465492480 4814908811136 4839104332800 5015530011600 5161711288320 5283850547200 5321157857280 5349898679040 5416772412528 5443992374400 5642471263050 5706558590976 5806925199360 5912397619200 5944331865600 6018636013920 6340620656640 6419878414848 6452139110400 6651447321600 6687373348800 6770965515660 6968310239232 7094877143040 7133198238720 7222363216704 7258656499200 7523295017400 7608744787968 7742566932480 7925775820800 8024848018560 8463706894575 8559837886464 8602852147200 8710387799040 8868596428800 8916497798400 9027954020880 9291080318976 9510930984960 9629817622272 9678208665600 10031060023200 10567701094400 10642315714560 10699797358080 10833544825056 10887984748800 11284942526100 11413117181952 11613850398720 11824795238400 11888663731200 12037272027840 12681241313280 12839756829696 12904278220800 13302894643200 13374746697600 13541931031320 13936620478464 14266396477440 14444726433408 14517312998400 15046590034800 15485133864960 15851551641600 16049696037120 16927413789150 17119675772928 17420775598080 17737192857600 17832995596800 18055908041760 19021861969920 19259635244544 19356417331200 20062120046400 21135402188800 21284631429120 21399594716160 21667089650112 21775969497600 22569885052200 22826234363904 23227700797440 23777327462400 24074544055680 25679513659392 25808556441600 26605789286400 26749493395200 27083862062640 27873240956928 28532792954880 28889452866816 29034625996800 30093180069600 31703103283200 32099392074240 33854827578300 34239351545856 34841551196160 35474385715200 35665991193600 36111816083520 38043723939840 38519270489088 38712834662400 40124240092800 42799189432320 43334179300224 43551938995200 45139770104400 46455401594880 47554654924800 48149088111360 51359027318784 53211578572800 53498986790400 54167724125280 57065585909760 57778905733632 58069251993600 60186360139200 63406206566400 64198784148480 67709655156600 68478703091712 69683102392320 71331982387200 72223632167040 77038540978176 77425669324800 80248480185600 85598378864640 86668358600448 87103877990400 90279540208800 95109309849600 96298176222720 102718054637568 106423157145600 106997973580800 108335448250560 114131171819520 115557811467264 116138503987200 120372720278400 128397568296960 135419310313200 139366204784640 142663964774400 144447264334080 154077081956352 160496960371200 171196757729280 173336717200896 174207755980800 180559080417600 190218619699200 192596352445440 205436109275136 213995947161600 216670896501120 231115622934528 232277007974400 240745440556800 256795136593920 270838620626400 285327929548800 288894528668160 308154163912704 320993920742400 342393515458560 346673434401792 348415511961600 361118160835200 385192704890880 427991894323200 433341793002240 462231245869056 481490881113600 513590273187840 541677241252800 570655859097600 577789057336320 616308327825408 641987841484800 693346868803584 696831023923200 722236321670400 770385409781760 855983788646400 866683586004480 924462491738112 962981762227200 1027180546375680 1083354482505600 1155578114672640 1283975682969600 1386693737607168 1444472643340800 1540770819563520 1711967577292800 1733367172008960 1848924983476224 1925963524454400 2166708965011200 2311156229345280 2567951365939200 2773387475214336 2888945286681600 3081541639127040 3466734344017920 3851927048908800 4333417930022400 4622312458690560 5135902731878400 5546774950428672 5777890573363200 6933468688035840 7703854097817600 8666835860044800 9244624917381120 11555781146726400 13866937376071680 15407708195635200 17333671720089600 23111562293452800 27733874752143360 34667343440179200 46223124586905600 69334686880358400 138669373760716800
- Sum of all divisors σ(n): 518811007734074328
- Sum of proper divisors (its aliquot sum) s(n): 380141633973357528
- 138669373760716800 is an abundant number, because the sum of its proper divisors (380141633973357528) is greater than itself. Its abundance is 241472260212640728
Bases of 138669373760716800
- Binary: 1111011001010011100001111100011000011101111000000000000002
- Hexadecimal: 0x1ECA70F8C3BC000
- Base-36: 11XE6UV40000
Squares and roots of 138669373760716800
- 138669373760716800 squared (1386693737607168002) is 19229195219189372951822849802240000
- 138669373760716800 cubed (1386693737607168003) is 2666500458967559769209472175067027263960645632000000
-
The
square root of 138669373760716800 is 372383369.3396051757 -
The
cube root of 138669373760716800 is 517599.1066438161
Scales and comparisons
How big is 138669373760716800?- 138,669,373,760,716,800 seconds is equal to 4,409,257,153 years, 2 weeks, 6 days.
-
To count from 1 to 138,669,373,760,716,800 would take you about thirteen billion, two hundred twenty-seven million, seven hundred seventy-one thousand, four hundred fifty-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 138669373760716800 cubic inches would be around 43133.3 feet tall.
Recreational maths with 138669373760716800
- 138669373760716800 backwards is 008617067373966831
- 138669373760716800 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138669373760716800's digits is 81
- More coming soon!
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"Number 138669373760716800 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
APA style:
Numbermatics. (2024). Number 138669373760716800 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/138669373760716800/
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Numbermatics. 2024. "Number 138669373760716800 - Facts about the integer". https://numbermatics.com/n/138669373760716800/
The information we have on file for 138669373760716800 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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