138361042369680
138,361,042,369,680 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138361042369680 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1440 divisors.
138361042369680 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138361042369680:
24 × 3 × 5 × 132 × 19 × 31 × 43 × 3672
(2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 19 × 31 × 43 × 367 × 367)See below for interesting mathematical facts about the number 138361042369680 from the Numbermatics database.
Names of 138361042369680
- Cardinal: 138361042369680 can be written as One hundred thirty-eight trillion, three hundred sixty-one billion, forty-two million, three hundred sixty-nine thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3836104236968 × 1014
Factors of 138361042369680
Divisors of 138361042369680
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 31 38 39 40 43 48 52 57 60 62 65 76 78 80 86 93 95 104 114 120 124 129 130 152 155 156 169 172 186 190 195 208 215 228 240 247 248 258 260 285 304 310 312 338 344 367 372 380 390 403 430 456 465 494 496 507 516 520 559 570 589 620 624 645 676 688 734 741 744 760 780 806 817 845 860 912 930 988 1014 1032 1040 1101 1118 1140 1178 1209 1235 1240 1290 1333 1352 1468 1482 1488 1520 1560 1612 1634 1677 1690 1720 1767 1835 1860 1976 2015 2028 2064 2202 2236 2280 2356 2418 2451 2470 2480 2535 2580 2666 2704 2795 2936 2945 2964 3120 3211 3224 3268 3354 3380 3440 3534 3670 3705 3720 3952 3999 4030 4056 4085 4404 4472 4560 4712 4771 4836 4902 4940 5070 5160 5239 5332 5505 5590 5872 5890 5928 6045 6422 6448 6536 6665 6708 6760 6973 7068 7267 7340 7410 7440 7657 7998 8060 8112 8170 8385 8808 8835 8944 9424 9542 9633 9672 9804 9880 10140 10320 10478 10621 10664 11010 11180 11377 11780 11856 12090 12255 12844 13072 13330 13416 13520 13946 14136 14313 14534 14680 14820 15314 15717 15781 15996 16055 16120 16340 16770 17329 17616 17670 19084 19266 19344 19608 19760 19995 20280 20919 20956 21242 21328 21801 22020 22360 22754 22971 23560 23855 24180 24510 25327 25688 26195 26660 26832 27892 28272 28626 29068 29360 29640 30628 31434 31562 31863 31992 32110 32240 32680 33540 34131 34658 34865 35340 36335 38168 38285 38532 39216 39990 40560 41838 41912 42484 43602 44040 44720 45508 45942 47120 47343 47710 48165 48360 49020 50654 51376 51987 52390 53105 53320 55784 56885 57252 58136 59280 61256 62023 62868 63124 63726 63984 64220 65360 67080 68262 69316 69730 70680 71565 72670 75981 76336 76570 77064 78585 78905 79980 83676 83824 84968 86645 87204 88080 90649 91016 91884 94686 95420 96330 96720 98040 99541 101308 103974 104595 104780 106210 106640 109005 111568 113770 114504 114855 116272 122512 124046 125736 126248 126635 127452 128440 134160 134689 136524 138073 138632 139460 141360 143130 145340 147901 151962 153140 154128 157170 157810 159315 159960 167352 169936 170655 173290 174408 181298 182032 183768 186069 189372 190840 192660 196080 199082 202616 205153 207948 209190 209560 212420 216163 218010 225277 227540 229008 229710 236715 248092 251472 252496 253270 254904 256880 259935 269378 271947 273048 276146 277264 278920 286260 290680 295802 298623 299839 303924 306280 310115 314340 315620 318630 319920 329251 334704 341310 346580 348816 362596 367536 372138 378744 379905 381680 385320 398164 404067 405232 410306 414219 415896 418380 419120 424840 432326 436020 443703 450554 453245 455080 459420 473430 489211 496184 497705 506540 509808 519870 538756 543894 546096 552292 557840 572520 581360 591604 597246 599678 607848 612560 615459 620230 628680 631240 637260 648489 658502 673445 675831 682620 690365 693160 725192 739505 744276 757488 759810 770640 796328 808134 820612 828438 831792 836760 849680 864652 872040 887406 899517 901108 906490 910160 918840 930345 946860 978422 987753 992368 995410 1013080 1025765 1039740 1077512 1080815 1087788 1104584 1126385 1145040 1178437 1183208 1194492 1199356 1215696 1230918 1240460 1257360 1262480 1274520 1296978 1317004 1346890 1351662 1359735 1365240 1380730 1386320 1450384 1467633 1479010 1488552 1493115 1499195 1519620 1592656 1616268 1641224 1646255 1656876 1673520 1729304 1744080 1750957 1774812 1799034 1802216 1812980 1837680 1860690 1893720 1922713 1956844 1975506 1990820 2020335 2026160 2051530 2071095 2079480 2155024 2161630 2175576 2209168 2218515 2252770 2356874 2366416 2388984 2398712 2446055 2461836 2480920 2549040 2559091 2593956 2634008 2666989 2693780 2703324 2719470 2730480 2761460 2810119 2935266 2958020 2977104 2986230 2998390 3039240 3077295 3232536 3242445 3282448 3292510 3313752 3379155 3458608 3501914 3535311 3549624 3598068 3604432 3625960 3721380 3787440 3845426 3897907 3913688 3951012 3981640 4040670 4103060 4142190 4158960 4175359 4280263 4323260 4351152 4437030 4497585 4505540 4713748 4777968 4797424 4892110 4923672 4938765 4961840 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1189977315 1204658416 1208351170 1216146984 1240149885 1269309136 1297459137 1302712008 1320490956 1322826544 1330727320 1365746460 1389990480 1411271342 1430531869 1436323496 1450021404 1461261880 1505823020 1520183730 1526338320 1570856521 1586636420 1596872784 1628390010 1650613695 1653533180 1729945516 1753514256 1760654608 1795404370 1806987624 1812526755 1820995280 1903963704 1933361872 1957569926 1984239816 1996090980 2026911640 2062627346 2116907013 2154485244 2162431895 2171186680 2191892820 2200818260 2230802160 2258734530 2334025681 2379954630 2416702340 2432293968 2480299770 2594918274 2605424016 2640981912 2661454640 2693106555 2731492920 2822542684 2861063738 2872646992 2900042808 2922523760 2936354889 3011646040 3040367460 3093941019 3141713042 3173272840 3256780020 3301227390 3307066360 3411268303 3459891032 3528178355 3590808740 3613975248 3625053510 3807927408 3915139852 3968479632 3992181960 4053823280 4125254692 4233814026 4291595607 4308970488 4324863790 4342373360 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19575699260 19842398160 20467609818 20626273460 20759346192 21169070130 21457978035 21544852440 22888509904 23340256810 23490839112 23562847815 24751528152 25133704336 25949182740 26409819120 26814155498 27290146424 28008308172 28225426840 28610637380 29000428080 29363548890 30342333853 30939410190 31417130420 33870512208 34112683030 34332764856 34598910320 35010385215 37193828594 37344410896 37700556504 39151398520 40221233247 40935219636 41252546920 42338140260 42915956070 43089704880 44346487939 46680513620 46981678224 47125695630 49503056304 51169024545 51898365480 53628310996 54580292848 55790742891 56016616344 56450853680 57221274760 58727097780 60684667706 61878820380 62834260840 67035388745 68225366060 68665529712 70020770430 74387657188 75401113008 78302797040 80442466494 81870439272 82505093840 84676280520 85831912140 88692975878 91027001559 92984571485 93361027240 94251391260 102338049090 103796730960 107256621992 111581485782 112033232688 114442549520 117454195560 121369335412 123757640760 125668521680 133039463817 134070777490 136450732120 140041540860 148775314376 151711669265 160884932988 163740878544 169352561040 171663824280 177385951756 182054003118 185969142970 186722054480 188502782520 201106166235 204676098180 214513243984 221732439695 223162971564 234908391120 242738670824 247515281520 266078927634 268141554980 272901464240 278953714455 280083081720 297550628752 303423338530 321769865976 343327648560 354771903512 364108006236 371938285940 377005565040 402212332470 409352196360 443464879390 446325943128 455135007795 485477341648 532157855268 536283109960 557907428910 560166163440 576504343207 606846677060 643539731952 665197319085 709543807024 728216012472 743876571880 804424664940 818704392720 886929758780 892651886256 910270015590 1064315710536 1072566219920 1115814857820 1153008686414 1213693354120 1330394638170 1456432024944 1487753143760 1608849329880 1729513029621 1773859517560 1820540031180 2128631421072 2231629715640 2306017372828 2427386708240 2660789276340 2882521716035 3217698659760 3459026059242 3547719035120 3641080062360 4463259431280 4612034745656 5321578552680 5765043432070 6918052118484 7282160124720 8647565148105 9224069491312 10643157105360 11530086864140 13836104236968 17295130296210 23060173728280 27672208473936 34590260592420 46120347456560 69180521184840 138361042369680
- Sum of all divisors σ(n): 517813983498240
- Sum of proper divisors (its aliquot sum) s(n): 379452941128560
- 138361042369680 is an abundant number, because the sum of its proper divisors (379452941128560) is greater than itself. Its abundance is 241091898758880
Bases of 138361042369680
- Binary: 111110111010110101100001100011111111100100100002
- Hexadecimal: 0x7DD6B0C7FC90
- Base-36: 1D1M6O90UO
Squares and roots of 138361042369680
- 138361042369680 squared (1383610423696802) is 19143778045624384149783302400
- 138361042369680 cubed (1383610423696803) is 2648753085286385199478724126756992031232000
-
The
square root of 138361042369680 is 11762697.0703865361 -
The
cube root of 138361042369680 is 51721.5194707881
Scales and comparisons
How big is 138361042369680?- 138,361,042,369,680 seconds is equal to 4,399,453 years, 8 weeks, 5 days, 8 hours, 28 minutes.
-
To count from 1 to 138,361,042,369,680 would take you about ten million, nine hundred ninety-eight thousand, six hundred thirty-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 138361042369680 cubic inches would be around 4310.1 feet tall.
Recreational maths with 138361042369680
- 138361042369680 backwards is 086963240163831
- 138361042369680 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138361042369680's digits is 60
- More coming soon!
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"Number 138361042369680 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 138361042369680 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/138361042369680/
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The information we have on file for 138361042369680 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 138361042369680, math, Factors of 138361042369680, curriculum, school, college, exams, university, Prime factorization of 138361042369680, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred sixty-one billion, forty-two million, three hundred sixty-nine thousand, six hundred eighty.