138268817819440
138,268,817,819,440 is an even composite number composed of seven prime numbers multiplied together.
138268817819440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138268817819440:
24 × 5 × 72 × 112 × 23 × 941 × 13469
(2 × 2 × 2 × 2 × 5 × 7 × 7 × 11 × 11 × 23 × 941 × 13469)See below for interesting mathematical facts about the number 138268817819440 from the Numbermatics database.
Names of 138268817819440
- Cardinal: 138268817819440 can be written as One hundred thirty-eight trillion, two hundred sixty-eight billion, eight hundred seventeen million, eight hundred nineteen thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3826881781944 × 1014
Factors of 138268817819440
Divisors of 138268817819440
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 23 28 35 40 44 46 49 55 56 70 77 80 88 92 98 110 112 115 121 140 154 161 176 184 196 220 230 242 245 253 280 308 322 368 385 392 440 460 484 490 506 539 560 605 616 644 770 784 805 847 880 920 941 968 980 1012 1078 1127 1210 1232 1265 1288 1540 1610 1694 1771 1840 1882 1936 1960 2024 2156 2254 2420 2530 2576 2695 2783 3080 3220 3388 3542 3764 3920 4048 4235 4312 4508 4705 4840 5060 5390 5566 5635 5929 6160 6440 6587 6776 7084 7528 8470 8624 8855 9016 9410 9680 10120 10351 10780 11132 11270 11858 12397 12880 13174 13469 13552 13915 14168 15056 16940 17710 18032 18820 19481 20240 20702 21560 21643 22264 22540 23716 24794 26348 26938 27830 28336 29645 32935 33880 35420 37640 38962 41404 43120 43286 44528 45080 46109 47432 49588 51755 52696 53876 55660 59290 61985 65870 67345 67760 70840 72457 75280 77924 82808 86572 90160 92218 94283 94864 97405 99176 103510 105392 107752 108215 111320 113861 118580 123970 131740 134690 136367 141680 144914 148159 151501 155848 165616 173144 184436 188566 194810 198352 207020 215504 216430 222640 227722 230545 237160 238073 247940 263480 269380 272734 289828 296318 303002 309787 311696 346288 362285 368872 377132 389620 414040 432860 455444 461090 471415 474320 476146 495880 507199 526960 538760 545468 569305 579656 592636 606004 619574 659981 681835 724570 737744 740795 754264 757505 779240 797027 828080 865720 910888 922180 942830 952292 991760 1014398 1037113 1060507 1077520 1090936 1138610 1159312 1185272 1190365 1212008 1239148 1319962 1363670 1449140 1481590 1508528 1515010 1548935 1558480 1594054 1629749 1666511 1731440 1821776 1844360 1885660 1904584 2028796 2074226 2121014 2168509 2181872 2277220 2370544 2380730 2424016 2478296 2535995 2618803 2639924 2727340 2898280 2963180 3030020 3097870 3188108 3259498 3299905 3333022 3407657 3688720 3771320 3809168 3985135 4057592 4148452 4242028 4337018 4554440 4761460 4956592 5071990 5185565 5237606 5279848 5302535 5454680 5579189 5796560 5926360 6060040 6195740 6376216 6518996 6599810 6666044 6815314 7259791 7542640 7970270 8115184 8148745 8296904 8332555 8484056 8674036 9108880 9522920 10143980 10371130 10475212 10559696 10605070 10842545 10909360 11158378 11408243 11665577 11852720 12120080 12391480 12674329 12752432 13037992 13094015 13199620 13332088 13630628 14519582 15179563 15940540 16297490 16593808 16665110 16968112 17038285 17348072 18331621 19045840 20287960 20742260 20950424 21210140 21685090 22316756 22816486 23331154 23853599 24782960 25348658 26075984 26188030 26399240 26664176 27261256 27895945 29039164 30359126 31881080 32594980 33330220 34076570 34696144 36298955 36663242 37484227 40575920 41484520 41900848 42420280 43370180 44633512 45632972 46662308 47707198 50697316 52376060 52798480 54522512 55791890 57041215 58078328 58327885 60718252 63371645 63762160 65189960 66660440 68153140 72597910 73326484 74968454 75897815 79857701 82969040 84840560 86740360 88720303 89267024 91265944 91658105 93324616 95414396 101394632 104752120 111583780 114082430 116156656 116655770 119267995 121436504 126743290 128321347 130379920 133320880 136306280 139417619 145195820 146652968 149936908 151795630 159715402 166975193 173480720 177440606 182531888 183316210 186649232 187421135 190828792 202789264 209504240 223167560 228164860 233311540 238535990 242873008 253486580 256642694 262389589 272612560 278835238 290391640 291509567 293305936 299873816 303591260 319430804 333950386 354881212 366632420 374842270 381657584 399288505 443601515 446335120 456329720 466623080 477071980 506973160 513285388 524779178 557670476 580783280 583019134 599747632 607182520 621042121 638861608 641606735 667900772 697088095 709762424 733264840 749684540 798577010 834875965 887203030 912659440 933246160 954143960 975923333 1013946320 1026570776 1049558356 1115340952 1166038268 1214365040 1242084242 1277723216 1283213470 1311947945 1335801544 1394176190 1419524848 1457547835 1466529680 1499369080 1533593809 1597154020 1669751930 1774406060 1836727123 1908287920 1951846666 2040566969 2053141552 2099116712 2230681904 2332076536 2484168484 2566426940 2623895890 2671603088 2788352380 2915095670 2998738160 3067187618 3105210605 3194308040 3206605237 3339503860 3548812120 3673454246 3903693332 4081133938 4198233424 4664153072 4879616665 4968336968 5132853880 5247791780 5576704760 5830191340 6134375236 6210421210 6388616080 6413210474 6679007720 6831463331 7097624240 7346908492 7667969045 7807386664 8162267876 9183635615 9759233330 9936673936 10202834845 10265707760 10495583560 10735156663 11153409520 11660382680 12268750472 12420842420 12826420948 13358015440 13662926662 14283968783 14693816984 15335938090 15614773328 16033026185 16324535752 18367271230 19518466660 20405669690 20991167120 21470313326 22446236659 23320765360 24537500944 24841684840 25652841896 27325853324 28567937566 29387633968 30671876180 32066052370 32649071504 34157316655 35272657607 36734542460 39036933320 40811339380 42940626652 44892473318 49683369680 51305683792 53675783315 54651706648 57135875132 61343752360 64132104740 68314633310 70545315214 71419843915 73469084920 75146096641 78073866640 81622678760 85881253304 89784946636 107351566630 109303413296 112231183295 114271750264 122687504720 128264209480 136629266620 141090630428 142839687830 146938169840 150292193282 157123656613 163245357520 171762506608 176363288035 179569893272 214703133260 224462366590 228543500528 246908603249 256528418960 273258533240 282181260856 285679375660 300584386564 314247313226 352726576070 359139786544 375730483205 429406266520 448924733180 493817206498 546517066480 564362521712 571358751320 601168773128 628494626452 705453152140 751460966410 785618283065 858812533040 897849466360 987634412996 1142717502640 1202337546256 1234543016245 1256989252904 1410906304280 1502921932820 1571236566130 1728360222743 1795698932720 1975268825992 2469086032490 2513978505808 2821812608560 3005843865640 3142473132260 3456720445486 3950537651984 4938172064980 6011687731280 6284946264520 6913440890972 8641801113715 9876344129960 12569892529040 13826881781944 17283602227430 19752688259920 27653763563888 34567204454860 69134408909720 138268817819440
- Sum of all divisors σ(n): 429407060564160
- Sum of proper divisors (its aliquot sum) s(n): 291138242744720
- 138268817819440 is an abundant number, because the sum of its proper divisors (291138242744720) is greater than itself. Its abundance is 152869424925280
Bases of 138268817819440
- Binary: 111110111000001001101111100010100000111001100002
- Hexadecimal: 0x7DC137C50730
- Base-36: 1D0FTG4UGG
Squares and roots of 138268817819440
- 138268817819440 squared (1382688178194402) is 19118265981185488476441913600
- 138268817819440 cubed (1382688178194403) is 2643460035976133624827392439823772880384000
-
The
square root of 138268817819440 is 11758776.2041566213 -
The
cube root of 138268817819440 is 51710.0252573039
Scales and comparisons
How big is 138268817819440?- 138,268,817,819,440 seconds is equal to 4,396,520 years, 37 weeks, 13 hours, 50 minutes, 40 seconds.
-
To count from 1 to 138,268,817,819,440 would take you about ten million, nine hundred ninety-one thousand, three hundred 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 138268817819440 cubic inches would be around 4309.2 feet tall.
Recreational maths with 138268817819440
- 138268817819440 backwards is 044918718862831
- 138268817819440 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138268817819440's digits is 70
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138268817819440 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
APA style:
Numbermatics. (2024). Number 138268817819440 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/138268817819440/
Chicago style:
Numbermatics. 2024. "Number 138268817819440 - Facts about the integer". https://numbermatics.com/n/138268817819440/
The information we have on file for 138268817819440 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!
Keywords: Divisors of 138268817819440, math, Factors of 138268817819440, curriculum, school, college, exams, university, Prime factorization of 138268817819440, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, two hundred sixty-eight billion, eight hundred seventeen million, eight hundred nineteen thousand, four hundred forty.