138706538634407520
138,706,538,634,407,520 is an even composite number composed of five prime numbers multiplied together.
What does the number 138706538634407520 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 576 divisors.
138706538634407520 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138706538634407520:
25 × 35 × 5 × 73 × 10401035003
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 10401035003)See below for interesting mathematical facts about the number 138706538634407520 from the Numbermatics database.
Names of 138706538634407520
- Cardinal: 138706538634407520 can be written as One hundred thirty-eight quadrillion, seven hundred six trillion, five hundred thirty-eight billion, six hundred thirty-four million, four hundred seven thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.3870653863440752 × 1017
Factors of 138706538634407520
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 10401035020
Divisors of 138706538634407520
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 49 54 56 60 63 70 72 80 81 84 90 96 98 105 108 112 120 126 135 140 144 147 160 162 168 180 189 196 210 216 224 240 243 245 252 270 280 288 294 315 324 336 343 360 378 392 405 420 432 441 480 486 490 504 540 560 567 588 630 648 672 686 720 735 756 784 810 840 864 882 945 972 980 1008 1029 1080 1120 1134 1176 1215 1260 1296 1323 1372 1440 1470 1512 1568 1620 1680 1701 1715 1764 1890 1944 1960 2016 2058 2160 2205 2268 2352 2430 2520 2592 2646 2744 2835 2940 3024 3087 3240 3360 3402 3430 3528 3780 3888 3920 3969 4116 4320 4410 4536 4704 4860 5040 5145 5292 5488 5670 5880 6048 6174 6480 6615 6804 6860 7056 7560 7776 7840 7938 8232 8505 8820 9072 9261 9720 10080 10290 10584 10976 11340 11760 11907 12348 12960 13230 13608 13720 14112 15120 15435 15876 16464 17010 17640 18144 18522 19440 19845 20580 21168 22680 23520 23814 24696 26460 27216 27440 27783 30240 30870 31752 32928 34020 35280 37044 38880 39690 41160 42336 45360 46305 47628 49392 52920 54432 54880 55566 59535 61740 63504 68040 70560 74088 79380 82320 83349 90720 92610 95256 98784 105840 111132 119070 123480 127008 136080 138915 148176 158760 164640 166698 185220 190512 211680 222264 238140 246960 272160 277830 296352 317520 333396 370440 381024 416745 444528 476280 493920 555660 635040 666792 740880 833490 889056 952560 1111320 1333584 1481760 1666980 1905120 2222640 2667168 3333960 4445280 6667920 13335840 10401035003 20802070006 31203105009 41604140012 52005175015 62406210018 72807245021 83208280024 93609315027 104010350030 124812420036 145614490042 156015525045 166416560048 187218630054 208020700060 218421735063 249624840072 280827945081 291228980084 312031050090 332833120096 364036225105 374437260108 416041400120 436843470126 468046575135 499249680144 509650715147 561655890162 582457960168 624062100180 655265205189 728072450210 748874520216 832082800240 842483835243 873686940252 936093150270 998499360288 1019301430294 1092108675315 1123311780324 1164915920336 1248124200360 1310530410378 1404139725405 1456144900420 1497749040432 1528952145441 1664165600480 1684967670486 1747373880504 1872186300540 1965795615567 2038602860588 2184217350630 2246623560648 2329831840672 2496248400720 2527451505729 2548253575735 2621060820756 2808279450810 2912289800840 2995498080864 3057904290882 3276326025945 3369935340972 3494747761008 3567555006029 3744372601080 3931591231134 4077205721176 4212419176215 4368434701260 4493247121296 4586856436323 4992496801440 5054903011458 5096507151470 5242121641512 5616558901620 5824579601680 5897386846701 6115808581764 6552652051890 6739870681944 6989495522016 7135110012058 7488745202160 7644760727205 7863182462268 8154411442352 8424838352430 8736869402520 8986494242592 9173712872646 9828978077835 10109806022916 10193014302940 10484243283024 10702665018087 11233117803240 11649159203360 11794773693402 12231617163528 12637257528645 13105304103780 13479741363888 13760569308969 14270220024116 14977490404320 15289521454410 15726364924536 16308822884704 16849676704860 17473738805040 17692160540103 17837775030145 18347425745292 19657956155670 20219612045832 20386028605880 20968486566048 21405330036174 22466235606480 22934282181615 23589547386804 24463234327056 25274515057290 26210608207560 26959482727776 27521138617938 28540440048232 29486934233505 30579042908820 31452729849072 32107995054261 33699353409720 34947477610080 35384321080206 35675550060290 36694851490584 39315912311340 40439224091664 40772057211760 41281707926907 42810660072348 44932471212960 45868564363230 47179094773608 48926468654112 50549030114580 52421216415120 53513325090435 55042277235876 57080880096464 58973868467010 61158085817640 62905459698144 64215990108522 67398706819440 68802846544845 70768642160412 71351100120580 73389702981168 78631824622680 80878448183328 81544114423520 82563415853814 85621320144696 88460802700515 91737128726460 94358189547216 96323985162783 101098060229160 104842432830240 107026650180870 110084554471752 114161760192928 117947736934020 122316171635280 123845123780721 128431980217044 134797413638880 137605693089690 141537284320824 142702200241160 146779405962336 157263649245360 160539975271305 165126831707628 171242640289392 176921605401030 183474257452920 188716379094432 192647970325566 202196120458320 206408539634535 214053300361740 220169108943504 235895473868040 244632343270560 247690247561442 256863960434088 275211386179380 283074568641648 285404400482320 288971955488349 314527298490720 321079950542610 330253663415256 342485280578784 353843210802060 366948514905840 385295940651132 404392240916640 412817079269070 428106600723480 440338217887008 471790947736080 481619925813915 495380495122884 513727920868176 550422772358760 566149137283296 570808800964640 577943910976698 619225618903605 642159901085220 660507326830512 707686421604120 733897029811680 770591881302264 825634158538140 856213201446960 866915866465047 943581895472160 963239851627830 990760990245768 1027455841736352 1100845544717520 1155887821953396 1238451237807210 1284319802170440 1321014653661024 1415372843208240 1444859777441745 1541183762604528 1651268317076280 1712426402893920 1733831732930094 1926479703255660 1981521980491536 2201691089435040 2311775643906792 2476902475614420 2568639604340880 2830745686416480 2889719554883490 3082367525209056 3302536634152560 3467663465860188 3852959406511320 3963043960983072 4334579332325235 4623551287813584 4953804951228840 5137279208681760 5779439109766980 6605073268305120 6935326931720376 7705918813022640 8669158664650470 9247102575627168 9907609902457680 11558878219533960 13870653863440752 15411837626045280 17338317329300940 19815219804915360 23117756439067920 27741307726881504 34676634658601880 46235512878135840 69353269317203760 138706538634407520
- Sum of all divisors σ(n): 572439683308147200
- Sum of proper divisors (its aliquot sum) s(n): 433733144673739680
- 138706538634407520 is an abundant number, because the sum of its proper divisors (433733144673739680) is greater than itself. Its abundance is 295026606039332160
Bases of 138706538634407520
- Binary: 1111011001100100011011100101010110101001111101110011000002
- Hexadecimal: 0x1ECC8DCAB53EE60
- Base-36: 11XRD4668600
Squares and roots of 138706538634407520
- 138706538634407520 squared (1387065386344075202) is 19239503859938385963204421432550400
- 138706538634407520 cubed (1387065386344075203) is 2668644985455376340077819474921394748574346539008000
-
The
square root of 138706538634407520 is 372433267.3572643135 -
The
cube root of 138706538634407520 is 517645.3432102749
Scales and comparisons
How big is 138706538634407520?- 138,706,538,634,407,520 seconds is equal to 4,410,438,881 years, 4 weeks, 1 day, 1 hour, 12 minutes.
-
To count from 1 to 138,706,538,634,407,520 would take you about thirteen billion, two hundred thirty-one million, three hundred sixteen thousand, six hundred forty-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 138706538634407520 cubic inches would be around 43137.1 feet tall.
Recreational maths with 138706538634407520
- 138706538634407520 backwards is 025704436835607831
- 138706538634407520 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138706538634407520's digits is 72
- More coming soon!
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The information we have on file for 138706538634407520 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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