138432980002240
138,432,980,002,240 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138432980002240 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 896 divisors.
138432980002240 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 138432980002240:
26 × 5 × 7 × 11 × 17 × 29 × 79 × 144253
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 17 × 29 × 79 × 144253)See below for interesting mathematical facts about the number 138432980002240 from the Numbermatics database.
Names of 138432980002240
- Cardinal: 138432980002240 can be written as One hundred thirty-eight trillion, four hundred thirty-two billion, nine hundred eighty million, two thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.3843298000224 × 1014
Factors of 138432980002240
Divisors of 138432980002240
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 20 22 28 29 32 34 35 40 44 55 56 58 64 68 70 77 79 80 85 88 110 112 116 119 136 140 145 154 158 160 170 176 187 203 220 224 232 238 272 280 290 308 316 319 320 340 352 374 385 395 406 440 448 464 476 493 544 553 560 580 595 616 632 638 680 704 748 770 790 812 869 880 928 935 952 986 1015 1088 1106 1120 1160 1190 1232 1264 1276 1309 1343 1360 1496 1540 1580 1595 1624 1738 1760 1856 1870 1904 1972 2030 2212 2233 2240 2291 2320 2380 2464 2465 2528 2552 2618 2686 2720 2765 2992 3080 3160 3190 3248 3451 3476 3520 3740 3808 3944 4060 4345 4424 4466 4582 4640 4760 4928 4930 5056 5104 5236 5372 5423 5440 5530 5984 6083 6160 6320 6380 6496 6545 6715 6902 6952 7480 7616 7888 8120 8690 8848 8932 9164 9280 9401 9520 9860 10208 10472 10744 10846 11060 11165 11455 11968 12166 12320 12640 12760 12992 13090 13430 13804 13904 14773 14960 15776 16037 16240 17255 17380 17696 17864 18328 18802 19040 19720 20416 20944 21488 21692 22120 22330 22910 24332 24640 25201 25280 25520 26180 26860 27115 27608 27808 29546 29920 30415 31552 32074 32480 34510 34760 35392 35728 36656 37604 37961 38080 38947 39440 41888 42976 43384 44240 44660 45820 47005 48664 50402 51040 52360 53720 54230 55216 55616 59092 59840 60830 64148 64960 69020 69520 71456 73312 73865 75208 75922 77894 78880 80185 83776 85952 86768 88480 89320 91640 94010 97328 100804 102080 103411 104720 107440 108460 110432 118184 121660 126005 128296 138040 139040 142912 144253 146624 147730 150416 151844 155788 157760 160370 173536 176407 176960 178640 183280 188020 189805 194656 194735 201608 206822 209440 214880 216920 220864 236368 243320 252010 256592 272629 276080 278080 288506 295460 300832 303688 311576 320740 347072 352814 357280 366560 376040 379610 389312 389470 403216 413644 418880 428417 429760 433840 472736 486640 504020 513184 517055 545258 552160 577012 590920 601664 607376 623152 641480 705628 714560 721265 733120 752080 759220 778940 806432 827288 856834 867680 882035 945472 973280 1008040 1009771 1026368 1034110 1090516 1104320 1154024 1181840 1214752 1246304 1282960 1363145 1411256 1442530 1504160 1518440 1557880 1586783 1612864 1654576 1713668 1735360 1764070 1946560 2016080 2019542 2068220 2142085 2181032 2308048 2363680 2429504 2452301 2492608 2565920 2726290 2822512 2885060 2998919 3008320 3036880 3115760 3173566 3309152 3427336 3528140 4032160 4039084 4136440 4183337 4284170 4362064 4616096 4727360 4904602 5048855 5131840 5452580 5645024 5770120 5997838 6073760 6231520 6347132 6618304 6854672 7056280 7933915 8064320 8078168 8272880 8366674 8568340 8724128 9232192 9809204 10097710 10905160 11107481 11290048 11395987 11540240 11995676 12147520 12261505 12463040 12694264 13709344 14112560 14994595 15867830 16156336 16545760 16733348 17136680 17166107 17448256 19618408 20195420 20916685 21810320 22214962 22791974 23080480 23991352 24523010 25388528 26975311 27418688 28225120 29283359 29989190 31735660 32312672 33091520 33466696 34273360 34332214 39236816 40390840 41833370 43620640 44429924 45583948 46016707 46160960 47982704 49046020 50777056 53950622 55537405 56450240 56979935 58566718 59978380 63471320 64625344 66933392 68546720 68664428 71116729 78473632 79771909 80781680 83666740 85830535 87241280 88859848 91167896 92033414 95965408 98092040 101554112 107901244 111074810 113959870 117133436 119956760 125355857 126942640 133866784 134876555 137093440 137328856 142233458 146416795 156947264 159543818 161563360 167333480 171661070 177719696 182335792 184066828 188827177 191930816 193731779 196184080 215802488 222149620 227919740 230083535 234266872 239913520 250711714 253885280 267733568 269753110 274657712 284466916 292833590 319087636 322116949 323126720 330483623 334666960 343322140 355439392 355583645 364671584 368133656 377654354 387463558 392368160 398859545 431604976 444299240 455839480 460167070 468533744 479827040 497817103 501423428 507770560 539506220 549315424 568933832 585667180 626779285 638175272 644233898 660967246 669333920 686644280 710878784 711167290 729343168 736267312 755308708 774927116 782284019 784736320 797719090 863209952 877490999 888598480 911678960 920334140 937067488 944135885 959654080 968658895 995634206 1002846856 1079012440 1098630848 1137867664 1171334360 1253558570 1276350544 1288467796 1321934492 1338667840 1356122453 1373288560 1422334580 1472534624 1510617416 1549854232 1564568038 1595438180 1610584745 1652418115 1726419904 1754981998 1777196960 1823357920 1840668280 1874134976 1888271770 1937317790 1991268412 2005693712 2131049569 2158024880 2275735328 2313385361 2342668720 2489085515 2507117140 2552701088 2576935592 2643868984 2712244906 2746577120 2844669160 2945069248 3021234832 3099708464 3129136076 3190876360 3221169490 3304836230 3509963996 3554393920 3635319853 3646715840 3681336560 3776543540 3874635580 3911420095 3982536824 4011387424 4262099138 4316049760 4387454995 4551470656 4626770722 4685337440 4978171030 5014234280 5105402176 5153871184 5287737968 5424489812 5475988133 5493154240 5618221591 5689338320 6042469664 6199416928 6258272152 6381752720 6442338980 6609672460 6780612265 7019927992 7270639706 7362673120 7553087080 7749271160 7822840190 7965073648 8022774848 8524198276 8632099520 8774909990 9253541444 9370674880 9956342060 10028468560 10307742368 10575475936 10655247845 10848979624 10951976266 11236443182 11378676640 11566926805 12084939328 12398833856 12516544304 12763505440 12884677960 13219344920 13561224530 14039855984 14541279412 14725346240 14917346983 15106174160 15498542320 15645680380 15930147296 17048396552 17549819980 18176599265 18507082888 19912684120 20056937120 20615484736 21150951872 21310495690 21697959248 21903952532 22472886364 22757353280 23133853610 25033088608 25447238971 25527010880 25769355920 26438689840 27122449060 27379940665 28079711968 28091107955 29082558824 29834693966 30212348320 30997084640 31291360760 31860294592 34096793104 35099639960 36353198530 37014165776 39327551137 39825368240 40113874240 42620991380 43395918496 43807905064 44945772728 46267707220 50066177216 50894477942 51538711840 52877379680 54244898120 54759881330 56159423936 56182215910 58165117648 59669387932 60424696640 61800437501 61994169280 62582721520 68193586208 70199279920 72706397060 74028331552 74586734915 78655102274 79650736480 85241982760 86791836992 87615810128 89891545456 92535414440 101788955884 103077423680 105754759360 108489796240 109519762660 112364431820 116330235296 119338775864 123600875002 125165443040 127236194855 136387172416 140398559840 145412794120 148056663104 149173469830 157310204548 159301472960 170483965520 175231620256 179783090912 185070828880 196637755685 203577911768 216979592480 219039525320 224728863640 232660470592 238677551728 247201750004 250330886080 254472389710 280797119680 290825588240 298346939660 309002187505 314620409096 340967931040 350463240512 359566181824 370141657760 393275511370 407155823536 432603062507 433959184960 438079050640 449457727280 477355103456 494403500008 508944779420 581651176480 596693879320 618004375010 629240818192 681935862080 740283315520 786551022740 814311647072 865206125014 876158101280 898915454560 954710206912 988807000016 1017889558840 1163302352960 1193387758640 1236008750020 1258481636384 1573102045480 1628623294144 1730412250028 1752316202560 1797830909120 1977614000032 2035779117680 2163015312535 2386775517280 2472017500040 2516963272768 3146204090960 3460824500056 3955228000064 4071558235360 4326030625070 4773551034560 4944035000080 6292408181920 6921649000112 8143116470720 8652061250140 9888070000160 12584816363840 13843298000224 17304122500280 19776140000320 27686596000448 34608245000560 69216490001120 138432980002240
- Sum of all divisors σ(n): 455866643865600
- Sum of proper divisors (its aliquot sum) s(n): 317433663863360
- 138432980002240 is an abundant number, because the sum of its proper divisors (317433663863360) is greater than itself. Its abundance is 179000683861120
Bases of 138432980002240
- Binary: 111110111100111011100001001100100100101110000002
- Hexadecimal: 0x7DE7709925C0
- Base-36: 1D2J8E25DS
Squares and roots of 138432980002240
- 138432980002240 squared (1384329800022402) is 19163689952300579750405017600
- 138432980002240 cubed (1384329800022403) is 2652886707935953776069376091961355239424000
-
The
square root of 138432980002240 is 11765754.5445347449 -
The
cube root of 138432980002240 is 51730.4817214111
Scales and comparisons
How big is 138432980002240?- 138,432,980,002,240 seconds is equal to 4,401,740 years, 29 weeks, 1 day, 20 hours, 10 minutes, 40 seconds.
-
To count from 1 to 138,432,980,002,240 would take you about eleven million, four thousand, three hundred fifty-one 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 138432980002240 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138432980002240
- 138432980002240 backwards is 042200089234831
- The number of decimal digits it has is: 15
- The sum of 138432980002240's digits is 46
- More coming soon!
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The information we have on file for 138432980002240 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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