138640075978526720
138,640,075,978,526,720 is an even composite number composed of six prime numbers multiplied together.
138640075978526720 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred six divisors.
Prime factorization of 138640075978526720:
212 × 5 × 132 × 172 × 612 × 1932
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 13 × 17 × 17 × 61 × 61 × 193 × 193)See below for interesting mathematical facts about the number 138640075978526720 from the Numbermatics database.
Names of 138640075978526720
- Cardinal: 138640075978526720 can be written as One hundred thirty-eight quadrillion, six hundred forty trillion, seventy-five billion, nine hundred seventy-eight million, five hundred twenty-six thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3864007597852672 × 1017
Factors of 138640075978526720
Divisors of 138640075978526720
- Number of divisors d(n): 2106
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 61 64 65 68 80 85 104 122 128 130 136 160 169 170 193 208 221 244 256 260 272 289 305 320 338 340 386 416 442 488 512 520 544 578 610 640 676 680 772 793 832 845 884 965 976 1024 1037 1040 1088 1105 1156 1220 1280 1352 1360 1445 1544 1586 1664 1690 1768 1930 1952 2048 2074 2080 2176 2210 2312 2440 2509 2560 2704 2720 2873 2890 3088 3172 3281 3328 3380 3536 3721 3757 3860 3904 3965 4096 4148 4160 4352 4420 4624 4880 5018 5120 5185 5408 5440 5746 5780 6176 6344 6562 6656 6760 7072 7442 7514 7720 7808 7930 8296 8320 8704 8840 9248 9760 10036 10240 10309 10370 10816 10880 11492 11560 11773 12352 12545 12688 13124 13312 13481 13520 14144 14365 14884 15028 15440 15616 15860 16405 16592 16640 17408 17629 17680 18496 18605 18785 19520 20072 20480 20618 20740 21632 21760 22984 23120 23546 24704 25090 25376 26248 26624 26962 27040 28288 28730 29768 30056 30880 31232 31720 32617 32810 33184 33280 34816 35258 35360 36992 37210 37249 37570 39040 40144 41236 41480 42653 43264 43520 45968 46240 47092 48373 48841 49408 50180 50752 51545 52496 53248 53924 54080 55777 56576 57460 58865 59536 60112 61760 62464 63257 63440 65234 65620 66368 66560 67405 69632 70516 70720 73984 74420 74498 75140 78080 80288 82472 82960 85306 86528 87040 88145 91936 92480 94184 96746 97682 98816 100360 101504 103090 104992 107848 108160 111554 113152 114920 117730 119072 120224 123520 124928 126514 126880 130468 131240 132736 133120 134810 141032 141440 147968 148840 148996 150280 153049 156160 160576 163085 164944 165920 170612 173056 174080 175253 176290 183872 184960 186245 188368 193492 195364 197632 200141 200720 203008 206180 209984 213265 215696 216320 223108 226304 229177 229840 235460 238144 240448 241865 244205 247040 249856 253028 253760 260936 262480 265472 266240 269620 278885 282064 282880 295936 297680 297992 300560 306098 312320 316285 321152 326170 329888 331840 341224 346112 348160 350506 352580 367744 369920 372490 376736 386984 390728 395264 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2762855240704 2806024853840 2838600273920 2866063216640 2944026076160 2998271539328 3016012791040 3185663510536 3204513590480 3250417930240 3342335486464 3362112619520 3453569050880 3551231454368 3690180356096 3721981153280 3725882181632 3747839424160 3920816628352 3932159395840 3982079388170 4165867667624 4177919358080 4225543309312 4250546524160 4370746405376 4439039317960 4489639766144 4612725445120 4657352727040 4825620465664 4901020785440 5127221744768 5142054594560 5207334584530 5281929136640 5463433006720 5525710481408 5612049707680 5888052152320 5996543078656 6032025582080 6371327021072 6409027180960 6684670972928 6724225239040 6769534959889 6907138101760 7102462908736 7380360712192 7451764363264 7495678848320 7841633256704 7864318791680 7964158776340 8331735335248 8355838716160 8451086618624 8741492810752 8878078635920 8979279532288 9225450890240 9314705454080 9651240931328 9802041570880 10254443489536 10284109189120 10414669169060 10563858273280 10926866013440 11051420962816 11224099415360 11776104304640 11993086157312 12064051164160 12742654042144 12818054361920 13369341945856 13448450478080 13539069919778 13814276203520 14204925817472 14991357696640 15683266513408 15928317552680 16663470670496 16711677432320 17482985621504 17756157271840 17958559064576 18450901780480 18629410908160 19604083141760 20508886979072 20829338338120 21127716546560 21853732026880 22448198830720 23986172314624 24128102328320 25485308084288 25636108723840 26738683891712 27078139839556 27628552407040 28409851634944 29982715393280 31366533026816 31856635105360 33326941340992 33423354864640 33847674799445 34965971243008 35512314543680 35917118129152 36901803560960 37258821816320 39208166283520 41017773958144 41658676676240 42255433093120 43707464053760 44896397661440 47972344629248 48256204656640 50970616168576 51272217447680 54156279679112 55257104814080 56819703269888 59965430786560 62733066053632 63713270210720 66653882681984 66846709729280 67695349598890 71024629087360 71834236258304 78416332567040 82035547916288 83317353352480 87414928107520 89792795322880 95944689258496 101941232337152 102544434895360 108312559358224 113639406539776 119930861573120 125466132107264 127426540421440 133307765363968 133693419458560 135390699197780 142049258174720 143668472516608 156832665134080 164071095832576 166634706704960 174829856215040 179585590645760 203882464674304 205088869790720 216625118716448 227278813079552 239861723146240 254853080842880 266615530727936 270781398395560 284098516349440 313665330268160 333269413409920 359171181291520 407764929348608 410177739581440 433250237432896 454557626159104 479723446292480 509706161685760 533231061455872 541562796791120 568197032698880 627330660536320 666538826819840 718342362583040 815529858697216 820355479162880 866500474865792 1019412323371520 1066462122911744 1083125593582240 1136394065397760 1333077653639680 1631059717394432 1733000949731584 2038824646743040 2132924245823488 2166251187164480 2272788130795520 2666155307279360 3466001899463168 4077649293486080 4332502374328960 5332310614558720 6932003798926336 8155298586972160 8665004748657920 10664621229117440 13864007597852672 17330009497315840 27728015195705344 34660018994631680 69320037989263360 138640075978526720
- Sum of all divisors σ(n): 391097122578265194
- Sum of proper divisors (its aliquot sum) s(n): 252457046599738474
- 138640075978526720 is an abundant number, because the sum of its proper divisors (252457046599738474) is greater than itself. Its abundance is 113816970621211754
Bases of 138640075978526720
- Binary: 1111011001000110001101010001000000101010101010000000000002
- Hexadecimal: 0x1EC8C6A20555000
- Base-36: 11X3SZNCXHQ8
Squares and roots of 138640075978526720
- 138640075978526720 squared (1386400759785267202) is 19221070667331661658122541753958400
- 138640075978526720 cubed (1386400759785267203) is 2664810697707492857148995582431836263443960168448000
-
The
square root of 138640075978526720 is 372344029.0625414609 -
The
cube root of 138640075978526720 is 517562.6516487979
Scales and comparisons
How big is 138640075978526720?- 138,640,075,978,526,720 seconds is equal to 4,408,325,574 years, 10 weeks, 4 days, 17 hours, 25 minutes, 20 seconds.
-
To count from 1 to 138,640,075,978,526,720 would take you about thirteen billion, two hundred twenty-four million, nine hundred seventy-six thousand, seven hundred twenty-two 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 138640075978526720 cubic inches would be around 43130.2 feet tall.
Recreational maths with 138640075978526720
- 138640075978526720 backwards is 027625879570046831
- 138640075978526720 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138640075978526720's digits is 80
- More coming soon!
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"Number 138640075978526720 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 138640075978526720 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138640075978526720/
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The information we have on file for 138640075978526720 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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