138508846304855040
138,508,846,304,855,040 is an even composite number composed of six prime numbers multiplied together.
What does the number 138508846304855040 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 528 divisors.
138508846304855040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twenty-eight divisors.
Prime factorization of 138508846304855040:
210 × 32 × 5 × 7 × 397 × 1081624447
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 397 × 1081624447)See below for interesting mathematical facts about the number 138508846304855040 from the Numbermatics database.
Names of 138508846304855040
- Cardinal: 138508846304855040 can be written as One hundred thirty-eight quadrillion, five hundred eight trillion, eight hundred forty-six billion, three hundred four million, eight hundred fifty-five thousand and forty.
Scientific notation
- Scientific notation: 1.3850884630485504 × 1017
Factors of 138508846304855040
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 1081624861
Divisors of 138508846304855040
- Number of divisors d(n): 528
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 64 70 72 80 84 90 96 105 112 120 126 128 140 144 160 168 180 192 210 224 240 252 256 280 288 315 320 336 360 384 397 420 448 480 504 512 560 576 630 640 672 720 768 794 840 896 960 1008 1024 1120 1152 1191 1260 1280 1344 1440 1536 1588 1680 1792 1920 1985 2016 2240 2304 2382 2520 2560 2688 2779 2880 3072 3176 3360 3573 3584 3840 3970 4032 4480 4608 4764 5040 5120 5376 5558 5760 5955 6352 6720 7146 7168 7680 7940 8064 8337 8960 9216 9528 10080 10752 11116 11520 11910 12704 13440 13895 14292 15360 15880 16128 16674 17865 17920 19056 20160 21504 22232 23040 23820 25011 25408 26880 27790 28584 31760 32256 33348 35730 35840 38112 40320 41685 44464 46080 47640 50022 50816 53760 55580 57168 63520 64512 66696 71460 76224 80640 83370 88928 95280 100044 101632 107520 111160 114336 125055 127040 133392 142920 152448 161280 166740 177856 190560 200088 203264 222320 228672 250110 254080 266784 285840 304896 322560 333480 355712 381120 400176 406528 444640 457344 500220 508160 533568 571680 609792 666960 711424 762240 800352 889280 914688 1000440 1016320 1067136 1143360 1219584 1333920 1422848 1524480 1600704 1778560 1829376 2000880 2032640 2134272 2286720 2667840 2845696 3048960 3201408 3557120 3658752 4001760 4268544 4573440 5335680 6097920 6402816 7114240 8003520 8537088 9146880 10671360 12805632 14228480 16007040 18293760 21342720 25611264 32014080 42685440 64028160 128056320 1081624447 2163248894 3244873341 4326497788 5408122235 6489746682 7571371129 8652995576 9734620023 10816244470 12979493364 15142742258 16224366705 17305991152 19469240046 21632488940 22714113387 25958986728 30285484516 32448733410 34611982304 37856855645 38938480092 43264977880 45428226774 48673100115 51917973456 60570969032 64897466820 68142340161 69223964608 75713711290 77876960184 86529955760 90856453548 97346200230 103835946912 113570566935 121141938064 129794933640 136284680322 138447929216 151427422580 155753920368 173059911520 181712907096 194692400460 207671893824 227141133870 242283876128 259589867280 272569360644 276895858432 302854845160 311507840736 340711700805 346119823040 363425814192 389384800920 415343787648 429404905459 454282267740 484567752256 519179734560 545138721288 553791716864 605709690320 623015681472 681423401610 692239646080 726851628384 778769601840 830687575296 858809810918 908564535480 969135504512 1038359469120 1090277442576 1107583433728 1211419380640 1246031362944 1288214716377 1362846803220 1384479292160 1453703256768 1557539203680 1661375150592 1717619621836 1817129070960 1938271009024 2076718938240 2147024527295 2180554885152 2422838761280 2492062725888 2576429432754 2725693606440 2768958584320 2907406513536 3005834338213 3115078407360 3322750301184 3435239243672 3634258141920 3864644149131 3876542018048 4153437876480 4294049054590 4361109770304 4845677522560 4984125451776 5152858865508 5451387212880 5537917168640 5814813027072 6011668676426 6230156814720 6441073581885 6870478487344 7268516283840 7729288298262 7753084036096 8306875752960 8588098109180 8722219540608 9017503014639 9691355045120 9968250903552 10305717731016 10902774425760 11629626054144 12023337352852 12460313629440 12882147163770 13740956974688 14537032567680 15029171691065 15458576596524 16613751505920 17176196218360 17444439081216 18035006029278 19323220745655 19382710090240 20611435462032 21805548851520 23259252108288 24046674705704 24920627258880 25764294327540 27052509043917 27481913949376 29074065135360 30058343382130 30917153193048 34352392436720 34888878162432 36070012058556 38646441491310 38765420180480 41222870924064 43611097703040 45087515073195 48093349411408 49841254517760 51528588655080 54105018087834 54963827898752 58148130270720 60116686764260 61834306386096 68704784873440 69777756324864 72140024117112 77292882982620 82445741848128 87222195406080 90175030146390 96186698822816 103057177310160 108210036175668 109927655797504 116296260541440 120233373528520 123668612772192 135262545219585 137409569746880 144280048234224 154585765965240 164891483696256 174444390812160 180350060292780 192373397645632 206114354620320 216420072351336 219855311595008 240466747057040 247337225544384 270525090439170 274819139493760 288560096468448 309171531930480 329782967392512 348888781624320 360700120585560 384746795291264 412228709240640 432840144702672 439710623190016 480933494114080 494674451088768 541050180878340 549638278987520 577120192936896 618343063860960 659565934785024 721400241171120 769493590582528 824457418481280 865680289405344 961866988228160 989348902177536 1082100361756680 1099276557975040 1154240385873792 1236686127721920 1319131869570048 1442800482342240 1538987181165056 1648914836962560 1731360578810688 1923733976456320 1978697804355072 2164200723513360 2198553115950080 2308480771747584 2473372255443840 2885600964684480 3077974362330112 3297829673925120 3462721157621376 3847467952912640 3957395608710144 4328401447026720 4616961543495168 4946744510887680 5771201929368960 6595659347850240 6925442315242752 7694935905825280 8656802894053440 9233923086990336 9893489021775360 11542403858737920 13850884630485504 15389871811650560 17313605788106880 19786978043550720 23084807717475840 27701769260971008 34627211576213760 46169615434951680 69254423152427520 138508846304855040
- Sum of all divisors σ(n): 549872498780147712
- Sum of proper divisors (its aliquot sum) s(n): 411363652475292672
- 138508846304855040 is an abundant number, because the sum of its proper divisors (411363652475292672) is greater than itself. Its abundance is 272854806170437632
Bases of 138508846304855040
- Binary: 1111011000001010100001111110101100100000000000100000000002
- Hexadecimal: 0x1EC150FD6400400
- Base-36: 11VTADKHH4W0
Squares and roots of 138508846304855040
- 138508846304855040 squared (1385088463048550402) is 19184700504701955668304275413401600
- 138508846304855040 cubed (1385088463048550403) is 2657250733610438093308918847715555163877161304064000
-
The
square root of 138508846304855040 is 372167766.3431574511 -
The
cube root of 138508846304855040 is 517399.3005676589
Scales and comparisons
How big is 138508846304855040?- 138,508,846,304,855,040 seconds is equal to 4,404,152,876 years, 26 weeks, 22 hours, 24 minutes.
-
To count from 1 to 138,508,846,304,855,040 would take you about thirteen billion, two hundred twelve million, four hundred fifty-eight thousand, six hundred twenty-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 138508846304855040 cubic inches would be around 43116.6 feet tall.
Recreational maths with 138508846304855040
- 138508846304855040 backwards is 040558403648805831
- 138508846304855040 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138508846304855040's digits is 72
- More coming soon!
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The information we have on file for 138508846304855040 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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