138073982816000
138,073,982,816,000 is an even composite number composed of five prime numbers multiplied together.
138073982816000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 138073982816000:
28 × 53 × 72 × 112 × 727747
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 11 × 11 × 727747)See below for interesting mathematical facts about the number 138073982816000 from the Numbermatics database.
Names of 138073982816000
- Cardinal: 138073982816000 can be written as One hundred thirty-eight trillion, seventy-three billion, nine hundred eighty-two million, eight hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.38073982816 × 1014
Factors of 138073982816000
Divisors of 138073982816000
- Number of divisors d(n): 648
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 49 50 55 56 64 70 77 80 88 98 100 110 112 121 125 128 140 154 160 175 176 196 200 220 224 242 245 250 256 275 280 308 320 350 352 385 392 400 440 448 484 490 500 539 550 560 605 616 640 700 704 770 784 800 847 875 880 896 968 980 1000 1078 1100 1120 1210 1225 1232 1280 1375 1400 1408 1540 1568 1600 1694 1750 1760 1792 1925 1936 1960 2000 2156 2200 2240 2420 2450 2464 2695 2750 2800 2816 3025 3080 3136 3200 3388 3500 3520 3850 3872 3920 4000 4235 4312 4400 4480 4840 4900 4928 5390 5500 5600 5929 6050 6125 6160 6272 6400 6776 7000 7040 7700 7744 7840 8000 8470 8624 8800 8960 9625 9680 9800 9856 10780 11000 11200 11858 12100 12250 12320 12544 13475 13552 14000 14080 15125 15400 15488 15680 16000 16940 17248 17600 19250 19360 19600 19712 21175 21560 22000 22400 23716 24200 24500 24640 26950 27104 28000 29645 30250 30800 30976 31360 32000 33880 34496 35200 38500 38720 39200 42350 43120 44000 44800 47432 48400 49000 49280 53900 54208 56000 59290 60500 61600 62720 67375 67760 68992 70400 77000 77440 78400 84700 86240 88000 94864 96800 98000 98560 105875 107800 108416 112000 118580 121000 123200 134750 135520 137984 148225 154000 154880 156800 169400 172480 176000 189728 193600 196000 211750 215600 216832 224000 237160 242000 246400 269500 271040 296450 308000 313600 338800 344960 352000 379456 387200 392000 423500 431200 474320 484000 492800 539000 542080 592900 616000 677600 689920 727747 741125 758912 774400 784000 847000 862400 948640 968000 1078000 1084160 1185800 1232000 1355200 1455494 1482250 1517824 1568000 1694000 1724800 1897280 1936000 2156000 2371600 2464000 2710400 2910988 2964500 3388000 3449600 3638735 3794560 3872000 4312000 4743200 5094229 5420800 5821976 5929000 6776000 7277470 7589120 8005217 8624000 9486400 10188458 11643952 11858000 13552000 14554940 16010434 17248000 18193675 18972800 20376916 23287904 23716000 25471145 27104000 29109880 32020868 35659603 36387350 37945600 40026085 40753832 46575808 47432000 50942290 56036519 58219760 64041736 71319206 72774700 80052170 81507664 88057387 90968375 93151616 94864000 101884580 112073038 116439520 127355725 128083472 142638412 145549400 160104340 163015328 176114774 178298015 181936750 186303232 189728000 200130425 203769160 224146076 232879040 254711450 256166944 280182595 285276824 291098800 320208680 326030656 352229548 356596030 363873500 392255633 400260850 407538320 440286935 448292152 465758080 509422900 512333888 560365190 570553648 582197600 616401709 636778625 640417360 652061312 704459096 713192060 727747000 784511266 800521700 815076640 880573870 891490075 896584304 931516160 1000652125 1018845800 1024667776 1120730380 1141107296 1164395200 1232803418 1273557250 1280834720 1304122624 1400912975 1408918192 1426384120 1455494000 1569022532 1601043400 1630153280 1761147740 1782980150 1793168608 1961278165 2001304250 2037691600 2049335552 2201434675 2241460760 2282214592 2328790400 2465606836 2547114500 2561669440 2801825950 2817836384 2852768240 2910988000 3082008545 3138045064 3202086800 3260306560 3522295480 3565960300 3586337216 3922556330 4002608500 4075383200 4314811963 4402869350 4457450375 4482921520 4564429184 4657580800 4931213672 5094229000 5123338880 5603651900 5635672768 5705536480 5821976000 6164017090 6276090128 6404173600 6520613120 7004564875 7044590960 7131920600 7172674432 7845112660 8005217000 8150766400 8629623926 8805738700 8914900750 8965843040 9128858368 9806390825 9862427344 10188458000 10246677760 11007173375 11207303800 11271345536 11411072960 11643952000 12328034180 12552180256 12808347200 14009129750 14089181920 14263841200 14345348864 15410042725 15690225320 16010434000 16301532800 17259247852 17611477400 17829801500 17931686080 19612781650 19724854688 20376916000 21574059815 22014346750 22414607600 22542691072 22822145920 23287904000 24656068360 25104360512 25616694400 28018259500 28178363840 28527682400 30820085450 31380450640 32020868000 32603065600 34518495704 35222954800 35659603000 35863372160 39225563300 39449709376 40753832000 43148119630 44028693500 44829215200 45644291840 49031954125 49312136720 50208721024 51233388800 56036519000 56356727680 57055364800 61640170900 62760901280 64041736000 69036991408 70445909600 71319206000 71726744320 77050213625 78451126600 78899418752 81507664000 86296239260 88057387000 89658430400 98063908250 98624273440 100417442048 107870299075 112073038000 112713455360 114110729600 123280341800 125521802560 128083472000 138073982816 140891819200 142638412000 154100427250 156902253200 157798837504 163015328000 172592478520 176114774000 179316860800 196127816500 197248546880 215740598150 224146076000 228221459200 246560683600 251043605120 256166944000 276147965632 281783638400 285276824000 308200854500 313804506400 345184957040 352229548000 358633721600 392255633000 394497093760 431481196300 448292152000 493121367200 502087210240 539351495375 552295931264 563567276800 570553648000 616401709000 627609012800 690369914080 704459096000 784511266000 788994187520 862962392600 896584304000 986242734400 1078702990750 1104591862528 1141107296000 1232803418000 1255218025600 1380739828160 1408918192000 1569022532000 1725924785200 1793168608000 1972485468800 2157405981500 2465606836000 2510436051200 2761479656320 2817836384000 3138045064000 3451849570400 3944970937600 4314811963000 4931213672000 5522959312640 6276090128000 6903699140800 8629623926000 9862427344000 12552180256000 13807398281600 17259247852000 19724854688000 27614796563200 34518495704000 69036991408000 138073982816000
- Sum of all divisors σ(n): 439797762685008
- Sum of proper divisors (its aliquot sum) s(n): 301723779869008
- 138073982816000 is an abundant number, because the sum of its proper divisors (301723779869008) is greater than itself. Its abundance is 163649797053008
Bases of 138073982816000
- Binary: 111110110010011110110101011001011001111000000002
- Hexadecimal: 0x7D93DAB2CF00
- Base-36: 1CXYB8EJNK
Squares and roots of 138073982816000
- 138073982816000 squared (1380739828160002) is 19064424730673063289856000000
- 138073982816000 cubed (1380739828160003) is 2632301052659877968797657771114496000000000
-
The
square root of 138073982816000 is 11750488.6203085189 -
The
cube root of 138073982816000 is 51685.7255898947
Scales and comparisons
How big is 138073982816000?- 138,073,982,816,000 seconds is equal to 4,390,325 years, 29 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,073,982,816,000 would take you about ten million, nine hundred seventy-five thousand, eight hundred thirteen 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 138073982816000 cubic inches would be around 4307.1 feet tall.
Recreational maths with 138073982816000
- 138073982816000 backwards is 000618289370831
- 138073982816000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138073982816000's digits is 56
- More coming soon!
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The information we have on file for 138073982816000 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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