138742864803843040
138,742,864,803,843,040 is an even composite number composed of five prime numbers multiplied together.
What does the number 138742864803843040 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 576 divisors.
138742864803843040 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 138742864803843040:
25 × 5 × 133 × 1033 × 6012
(2 × 2 × 2 × 2 × 2 × 5 × 13 × 13 × 13 × 103 × 103 × 103 × 601 × 601)See below for interesting mathematical facts about the number 138742864803843040 from the Numbermatics database.
Names of 138742864803843040
- Cardinal: 138742864803843040 can be written as One hundred thirty-eight quadrillion, seven hundred forty-two trillion, eight hundred sixty-four billion, eight hundred three million, eight hundred forty-three thousand and forty.
Scientific notation
- Scientific notation: 1.3874286480384304 × 1017
Factors of 138742864803843040
Divisors of 138742864803843040
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 103 104 130 160 169 206 208 260 338 412 416 515 520 601 676 824 845 1030 1040 1202 1339 1352 1648 1690 2060 2080 2197 2404 2678 2704 3005 3296 3380 4120 4394 4808 5356 5408 6010 6695 6760 7813 8240 8788 9616 10609 10712 10985 12020 13390 13520 15626 16480 17407 17576 19232 21218 21424 21970 24040 26780 27040 31252 34814 35152 39065 42436 42848 43940 48080 53045 53560 61903 62504 69628 70304 78130 84872 87035 87880 96160 101569 106090 107120 123806 125008 137917 139256 156260 169744 174070 175760 203138 212180 214240 226291 247612 250016 275834 278512 309515 312520 339488 348140 351520 361201 406276 424360 452582 495224 507845 551668 557024 619030 625040 689585 696280 722402 804739 812552 848720 905164 990448 1015690 1092727 1103336 1131455 1238060 1250080 1320397 1379170 1392560 1444804 1609478 1625104 1697440 1792921 1806005 1810328 1980896 2031380 2185454 2206672 2262910 2476120 2640794 2758340 2785120 2889608 3218956 3250208 3585842 3612010 3620656 4023695 4062760 4370908 4413344 4525820 4695613 4952240 5281588 5463635 5516680 5779216 6376009 6437912 6601985 7171684 7224020 7241312 8047390 8125520 8741816 8964605 9051640 9391226 9904480 10461607 10563176 10927270 11033360 11558432 12752018 12875824 13203970 14205451 14343368 14448040 16094780 16251040 17483632 17929210 18103280 18782452 20923214 21126352 21854540 22066720 23307973 23478065 25504036 25751648 26407940 28410902 28686736 28896080 31880045 32189560 34967264 35858420 36206560 37203703 37564904 41846428 42252704 43709080 46615946 46956130 51008072 52308035 52815880 56821804 57373472 57792160 61042969 63760090 64379120 71027255 71716840 74407406 75129808 82888117 83692856 87418160 93231892 93912260 102016144 104616070 105631760 113643608 116539865 122085938 127520180 128758240 136000891 142054510 143433680 148814812 150259616 165776234 167385712 174836320 184670863 186018515 186463784 187824520 204032288 209232140 211263520 227287216 233079730 244171876 255040360 272001782 284109020 286867360 297629624 305214845 331552468 334771424 369341726 372037030 372927568 375649040 414440585 418464280 454574432 466159460 483648139 488343752 510080720 544003564 568218040 595259248 610429690 656728927 663104936 680004455 738683452 744074060 745855136 751298080 793558597 828881170 836928560 923354315 932318920 967296278 976687504 1020161440 1077545521 1088007128 1136436080 1190518496 1220859380 1313457854 1326209872 1360008910 1477366904 1488148120 1587117194 1657762340 1673857120 1846708630 1864637840 1934592556 1953375008 2155091042 2176014256 2272872160 2400721219 2418240695 2441718760 2626915708 2652419744 2720017820 2954733808 2976296240 3174234388 3283644635 3315524680 3693417260 3729275680 3831981409 3869185112 3967792985 4310182084 4352028512 4801442438 4836481390 4883437520 5253831416 5387727605 5440035640 5909467616 5952592480 6287425807 6348468776 6567289270 6631049360 7386834520 7663962818 7738370224 7935585970 8537476051 8620364168 9602884876 9672962780 9766875040 10507662832 10775455210 10880071280 12003606095 12574851614 12696937552 13134578540 13262098720 14008091773 14773669040 15327925636 15476740448 15871171940 17074952102 17240728336 19159907045 19205769752 19345925560 21015325664 21550910420 21760142560 24007212190 25149703228 25393875104 26269157080 28016183546 29547338080 30655851272 31437129035 31742343880 34149904204 34481456672 38319814090 38411539504 38691851120 42687380255 43101820840 48014424380 49815758317 50299406456 52538314160 56032367092 61311702544 62874258070 63484687760 68299808408 70040458865 76639628180 76823079008 77383702240 81736535491 85374760510 86203641680 96028848760 99631516634 100598812912 105076628320 110987188663 112064734184 122623405088 125748516140 126969375520 136599616816 140080917730 153279256360 163473070982 170749521020 172407283360 192057697520 199263033268 201197625824 221974377326 224129468368 249078791585 251497032280 273199233632 280161835460 306558512720 326946141964 341499042040 384115395040 394694085127 398526066536 408682677455 443948754652 448258936736 498157583170 502994064560 554935943315 560323670920 613117025440 647604858121 653892283928 682998084080 789388170254 797052133072 817365354910 887897509304 996315166340 1005988129120 1109871886630 1120647341840 1295209716242 1307784567856 1365996168160 1442833452619 1578776340508 1594104266144 1634730709820 1775795018608 1973470425635 1992630332680 2219743773260 2241294683680 2590419432484 2615569135712 2885666905238 3157552681016 3238024290605 3269461419640 3551590037216 3946940851270 3985260665360 4439487546520 5131023106651 5180838864968 5771333810476 6315105362032 6476048581210 6538922839280 7214167263095 7893881702540 7970521330720 8418863155573 8878975093040 10262046213302 10361677729936 11542667620952 12630210724064 12952097162420 13077845678560 14428334526190 15787763405080 16837726311146 17757950186080 20524092426604 20723355459872 23085335241904 25655115533255 25904194324840 28856669052380 31575526810160 33675452622292 41048184853208 42094315777865 46170670483808 51310231066510 51808388649680 57713338104760 63151053620320 66703300386463 67350905244584 82096369706416 84188631555730 102620462133020 103616777299360 115426676209520 133406600772926 134701810489168 164192739412832 168377263111460 205240924266040 230853352419040 266813201545852 269403620978336 333516501932315 336754526222920 410481848532080 533626403091704 667033003864630 673509052445840 820963697064160 867142905024019 1067252806183408 1334066007729260 1347018104891680 1734285810048038 2134505612366816 2668132015458520 3468571620096076 4335714525120095 5336264030917040 6937143240192152 8671429050240190 10672528061834080 13874286480384304 17342858100480380 27748572960768608 34685716200960760 69371432401921520 138742864803843040
- Sum of all divisors σ(n): 359161390043164800
- Sum of proper divisors (its aliquot sum) s(n): 220418525239321760
- 138742864803843040 is an abundant number, because the sum of its proper divisors (220418525239321760) is greater than itself. Its abundance is 81675660435478720
Bases of 138742864803843040
- Binary: 1111011001110100111100110100000111100000011001011111000002
- Hexadecimal: 0x1ECE9E683C0CBE0
- Base-36: 11Y48O6LLEXS
Squares and roots of 138742864803843040
- 138742864803843040 squared (1387428648038430402) is 19249582533977467798296752956441600
- 138742864803843040 cubed (1387428648038430403) is 2670742227042054136646816833562143551377403326464000
-
The
square root of 138742864803843040 is 372482032.8604361555 -
The
cube root of 138742864803843040 is 517690.5283695853
Scales and comparisons
How big is 138742864803843040?- 138,742,864,803,843,040 seconds is equal to 4,411,593,940 years, 46 weeks, 6 days, 22 hours, 10 minutes, 40 seconds.
-
To count from 1 to 138,742,864,803,843,040 would take you about thirteen billion, two hundred thirty-four million, seven hundred eighty-one thousand, eight 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 138742864803843040 cubic inches would be around 43140.9 feet tall.
Recreational maths with 138742864803843040
- 138742864803843040 backwards is 040348308468247831
- The number of decimal digits it has is: 18
- The sum of 138742864803843040's digits is 73
- More coming soon!
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The information we have on file for 138742864803843040 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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