138963995023776000
138,963,995,023,776,000 is an even composite number composed of six prime numbers multiplied together.
138963995023776000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138963995023776000:
28 × 3 × 53 × 133 × 31 × 2773
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 31 × 277 × 277 × 277)See below for interesting mathematical facts about the number 138963995023776000 from the Numbermatics database.
Names of 138963995023776000
- Cardinal: 138963995023776000 can be written as One hundred thirty-eight quadrillion, nine hundred sixty-three trillion, nine hundred ninety-five billion, twenty-three million, seven hundred seventy-six thousand.
Scientific notation
- Scientific notation: 1.38963995023776 × 1017
Factors of 138963995023776000
Divisors of 138963995023776000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 31 32 39 40 48 50 52 60 62 64 65 75 78 80 93 96 100 104 120 124 125 128 130 150 155 156 160 169 186 192 195 200 208 240 248 250 256 260 277 300 310 312 320 325 338 372 375 384 390 400 403 416 465 480 496 500 507 520 554 600 620 624 640 650 676 744 750 768 775 780 800 806 831 832 845 930 960 975 992 1000 1014 1040 1108 1200 1209 1240 1248 1280 1300 1352 1385 1488 1500 1550 1560 1600 1612 1625 1662 1664 1690 1860 1920 1950 1984 2000 2015 2028 2080 2197 2216 2325 2400 2418 2480 2496 2535 2600 2704 2770 2976 3000 3100 3120 3200 3224 3250 3324 3328 3380 3601 3720 3840 3875 3900 3968 4000 4030 4056 4155 4160 4225 4394 4432 4650 4800 4836 4875 4960 4992 5070 5200 5239 5408 5540 5952 6000 6045 6200 6240 6400 6448 6500 6591 6648 6760 6925 7202 7440 7750 7800 7936 8000 8060 8112 8310 8320 8450 8587 8788 8864 9300 9600 9672 9750 9920 9984 10075 10140 10400 10478 10803 10816 10985 11080 11625 11904 12000 12090 12400 12480 12675 12896 13000 13182 13296 13520 13850 14404 14880 15500 15600 15717 16000 16120 16224 16620 16640 16900 17174 17576 17728 18005 18600 19200 19344 19500 19840 20150 20280 20775 20800 20956 21125 21606 21632 21970 22160 23250 23808 24000 24180 24800 24960 25350 25761 25792 26000 26195 26364 26592 27040 27700 28808 29760 30225 31000 31200 31434 32000 32240 32448 32955 33240 33800 34348 34625 35152 35456 36010 37200 38688 39000 39680 40300 40560 41550 41600 41912 42250 42935 43212 43264 43940 44320 46500 46813 48000 48360 49600 49920 50375 50700 51522 51584 52000 52390 52728 53184 54015 54080 54925 55400 57616 59520 60450 62000 62400 62868 63375 64480 64896 65910 66480 67600 68107 68696 69250 70304 70912 72020 74400 76729 77376 78000 78585 80600 81120 83100 83200 83824 84500 85870 86424 87880 88640 90025 93000 93626 96000 96720 99200 100750 101400 103044 103168 103875 104000 104780 105456 106368 108030 108160 109850 110800 111631 115232 119040 120900 124000 124800 125736 126750 128805 128960 129792 130975 131820 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13361922598440 13704535998400 13792952359680 13918669373375 14008467240300 14252717438336 14367658708000 14475416148310 14942365056320 15677346009000 15812926152000 16183066848000 16445443198080 16702403248050 16722502409600 17130669998000 17241190449600 17370499377972 17510584050375 17815896797920 17930838067584 18677956320400 19295195088000 20067002891520 20556803997600 20903128012000 21083901536000 21379076157504 21551488062000 21713124222465 22269870997400 22413547584480 22988253932800 23160665837296 23347445400500 25083753614400 25696004997000 26524908384000 26723845196880 27409071996800 27837338746750 28016934480600 28505434876672 28735317416000 28950832296620 29884730112640 31354692018000 31625852304000 32890886396160 33404806496100 33445004819200 34261339996000 34482380899200 34740998755944 35021168100750 35631793595840 35861676135168 36188540370775 37355912640800 38590390176000 41113607995200 41756008120125 41806256024000 42758152315008 43102976124000 43426248444930 44539741994800 44827095168960 46321331674592 46694890801000 50167507228800 51392009994000 53447690393760 54818143993600 55674677493500 56033868961200 57470634832000 57901664593240 59769460225280 62709384036000 63251704608000 66809612992200 68522679992000 68964761798400 69481997511888 70042336201500 71263587191680 72377080741550 74711825281600 82227215990400 83512016240250 83612512048000 85516304630016 86205952248000 86852496889860 89079483989600 89654190337920 92642663349184 93389781602000 100335014457600 102784019988000 106895380787520 108565621112325 111349354987000 112067737922400 114941269664000 115803329186480 125418768072000 133619225984400 137045359984000 138963995023776 140084672403000 142527174383360 144754161483100 149423650563200 164454431980800 167024032480500 167225024096000 172411904496000 173704993779720 178158967979200 179308380675840 180942701853875 185285326698368 186779563204000 205568039976000 213790761575040 217131242224650 222698709974000 224135475844800 231606658372960 250837536144000 267238451968800 274090719968000 277927990047552 280169344806000 289508322966200 298847301126400 334048064961000 344823808992000 347409987559440 356317935958400 361885403707750 370570653396736 373559126408000 411136079952000 427581523150080 434262484449300 445397419948000 448270951689600 463213316745920 501675072288000 534476903937600 542828105561625 555855980095104 560338689612000 579016645932400 668096129922000 694819975118880 712635871916800 723770807415500 747118252816000 822272159904000 868524968898600 890794839896000 896541903379200 926426633491840 1068953807875200 1085656211123250 1111711960190208 1120677379224000 1158033291864800 1336192259844000 1389639950237760 1447541614831000 1494236505632000 1737049937797200 1781589679792000 1852853266983680 2137907615750400 2171312422246500 2241354758448000 2316066583729600 2672384519688000 2779279900475520 2895083229662000 3474099875594400 3563179359584000 4342624844493000 4482709516896000 4632133167459200 5344769039376000 5558559800951040 5790166459324000 6948199751188800 8685249688986000 9264266334918400 10689538078752000 11580332918648000 13896399502377600 17370499377972000 23160665837296000 27792799004755200 34740998755944000 46321331674592000 69481997511888000 138963995023776000
- Sum of all divisors σ(n): 518015099780505600
- Sum of proper divisors (its aliquot sum) s(n): 379051104756729600
- 138963995023776000 is an abundant number, because the sum of its proper divisors (379051104756729600) is greater than itself. Its abundance is 240087109732953600
Bases of 138963995023776000
- Binary: 1111011011011001100000100011001111111011000011001000000002
- Hexadecimal: 0x1EDB30467F61900
- Base-36: 120AMI054OAO
Squares and roots of 138963995023776000
- 138963995023776000 squared (1389639950237760002) is 19310991912968040890805298176000000
- 138963995023776000 cubed (1389639950237760003) is 2683532584097869413232391141922959889432576000000000
-
The
square root of 138963995023776000 is 372778748.0849411297 -
The
cube root of 138963995023776000 is 517965.4163936053
Scales and comparisons
How big is 138963995023776000?- 138,963,995,023,776,000 seconds is equal to 4,418,625,197 years, 46 weeks, 4 days, 10 hours, 40 minutes.
-
To count from 1 to 138,963,995,023,776,000 would take you about thirteen billion, two hundred fifty-five million, eight hundred seventy-five thousand, five hundred ninety-three 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 138963995023776000 cubic inches would be around 43163.8 feet tall.
Recreational maths with 138963995023776000
- 138963995023776000 backwards is 000677320599369831
- 138963995023776000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138963995023776000's digits is 78
- More coming soon!
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"Number 138963995023776000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 138963995023776000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138963995023776000/
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The information we have on file for 138963995023776000 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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