138814799591520
138,814,799,591,520 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138814799591520 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1920 divisors.
138814799591520 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138814799591520:
25 × 34 × 5 × 13 × 17 × 61 × 97 × 8191
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 13 × 17 × 61 × 97 × 8191)See below for interesting mathematical facts about the number 138814799591520 from the Numbermatics database.
Names of 138814799591520
- Cardinal: 138814799591520 can be written as One hundred thirty-eight trillion, eight hundred fourteen billion, seven hundred ninety-nine million, five hundred ninety-one thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.3881479959152 × 1014
Factors of 138814799591520
Divisors of 138814799591520
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 26 27 30 32 34 36 39 40 45 48 51 52 54 60 61 65 68 72 78 80 81 85 90 96 97 102 104 108 117 120 122 130 135 136 144 153 156 160 162 170 180 183 194 195 204 208 216 221 234 240 244 255 260 270 272 288 291 305 306 312 324 340 351 360 366 388 390 405 408 416 432 442 459 468 480 485 488 510 520 540 544 549 582 585 610 612 624 648 663 680 702 720 732 765 776 780 793 810 816 864 873 884 915 918 936 970 976 1020 1037 1040 1053 1080 1098 1105 1164 1170 1220 1224 1248 1261 1296 1326 1360 1377 1404 1440 1455 1464 1530 1552 1560 1586 1620 1632 1647 1649 1746 1755 1768 1830 1836 1872 1940 1952 1989 2040 2074 2080 2106 2160 2196 2210 2295 2328 2340 2379 2440 2448 2522 2592 2619 2652 2720 2745 2754 2808 2910 2928 3060 3104 3111 3120 3172 3240 3294 3298 3315 3492 3510 3536 3660 3672 3744 3783 3880 3965 3978 4080 4148 4212 4320 4365 4392 4420 4590 4656 4680 4758 4880 4896 4941 4947 5044 5185 5238 5265 5304 5490 5508 5616 5820 5856 5917 5967 6120 6222 6240 6305 6344 6480 6588 6596 6630 6885 6984 7020 7072 7137 7320 7344 7566 7760 7857 7930 7956 8160 8191 8235 8245 8296 8424 8730 8784 8840 9180 9312 9333 9360 9516 9760 9882 9894 9945 10088 10370 10476 10530 10608 10980 11016 11232 11349 11640 11834 11895 11934 12240 12444 12610 12688 12960 13095 13176 13192 13260 13481 13770 13968 14040 14274 14640 14688 14841 15132 15520 15555 15714 15860 15912 16382 16470 16490 16592 16848 17460 17568 17680 17751 17901 18360 18666 18720 18915 19032 19764 19788 19890 20176 20740 20952 21060 21216 21411 21437 21960 22032 22698 23280 23668 23790 23868 24480 24573 24705 24735 24888 25220 25376 26190 26352 26384 26520 26962 27540 27936 27999 28080 28548 29280 29585 29682 29835 30264 31110 31428 31720 31824 32764 32940 32980 33184 33696 34047 34920 35360 35502 35685 35802 36720 37332 37830 38064 39285 39528 39576 39780 40352 40443 40955 41480 41904 42120 42822 42874 43920 44064 44523 45396 46560 46665 47336 47580 47736 49146 49410 49470 49776 50440 52380 52704 52768 53040 53253 53924 55080 55998 56160 56745 57096 59170 59364 59670 60528 62220 62856 63440 63648 64233 64311 65528 65880 65960 67405 68094 69840 71004 71370 71604 73440 73719 74205 74664 75660 76128 76921 78570 79056 79152 79560 80886 81910 82960 83808 83997 84240 85644 85748 87840 88755 89046 89505 90792 93330 94672 95160 95472 98292 98820 98940 99552 100589 100880 102141 104760 106080 106483 106506 107055 107185 107848 110160 111996 113490 114192 118340 118728 119340 121056 121329 122865 124440 125712 126880 128466 128622 131056 131760 131920 133569 134810 136188 139247 139680 139995 142008 142740 143208 147438 148410 149328 151320 153842 157140 158112 158304 159120 159759 161772 163820 165920 167994 168480 170235 171288 171496 177510 178092 179010 181584 186660 189344 190320 190944 192933 196584 197640 197880 201178 201760 202215 204282 209520 212966 213012 214110 214370 215696 220320 221157 222615 223992 226980 228384 230763 236680 237456 238680 242658 245730 248880 251424 256932 257244 262112 263520 263840 266265 267138 269620 272376 278494 279990 284016 285480 286416 294876 296820 298656 301767 302640 307684 314280 318240 319449 319518 321165 321555 323544 327640 335988 340470 342576 342992 355020 356184 358020 363168 363987 368595 373320 380640 384605 385866 393168 395280 395760 402356 404430 408564 417741 419040 419985 425932 426024 428220 428740 431392 442314 445230 447984 453960 461526 473360 474912 477360 479277 485316 491460 497760 499651 502945 510705 513864 514488 532415 532530 534276 539240 544752 556988 559980 568032 570960 572832 578799 589752 593640 603534 605280 606645 615368 628560 638898 639036 642330 643110 647088 655280 663471 667845 671976 680940 685152 685984 692289 696235 710040 712368 716040 727974 737190 746640 769210 771732 786336 790560 791520 794527 798795 804712 808860 817128 835482 839970 851864 852048 856440 857480 884628 890460 895968 905301 907920 923052 946720 954720 958347 958554 964665 970632 982920 999302 1005890 1021410 1027728 1028976 1064830 1065060 1068552 1078480 1089504 1091961 1105785 1113976 1119960 1141920 1153815 1157598 1179504 1187280 1207068 1213290 1230736 1253223 1257120 1277796 1278072 1284660 1286220 1294176 1307657 1310560 1326942 1335690 1343952 1361880 1384578 1392470 1420080 1424736 1432080 1455948 1474380 1493280 1498953 1508835 1538420 1543464 1589054 1597245 1597590 1609424 1617720 1634256 1670964 1679940 1703728 1704096 1712880 1714960 1736397 1769256 1780920 1810211 1810602 1815840 1819935 1846104 1916694 1917108 1929330 1941264 1965840 1998604 2011780 2042820 2055456 2057952 2076867 2088705 2129660 2130120 2137104 2156960 2183922 2211570 2227952 2239920 2307630 2315196 2359008 2374560 2383581 2396385 2414136 2426580 2461472 2498255 2506446 2555592 2556144 2569320 2572440 2615314 2653884 2671380 2687904 2715903 2723760 2769156 2784940 2840160 2864160 2875041 2893995 2911896 2948760 2997906 3017670 3076840 3086928 3178108 3194490 3195180 3218848 3235440 3268512 3317355 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13250744520 13386190896 13760388540 13958250336 14030200080 14047237360 14222827827 14587515720 14830640982 14873545440 14907087585 15121437864 15703031628 15803142030 15900893424 16478489980 16732738620 16836240096 16856684832 16947234720 17011617597 17447812920 17505018864 17667659360 17888505102 18347184720 18901797330 18963770436 19450020960 19628789535 19774187976 19876116780 20161917152 20937375504 21045300120 21070856040 21422036974 21881273580 22016621664 22245961473 22310318160 22682156796 23263750560 23460334560 23704713045 23851340136 24717734970 25202396440 25285027248 26171719380 26365583968 26501489040 26772381792 27520777080 28060400160 28094474720 28352695995 28445655654 29175031440 29661281964 29814175170 30242875728 31406063256 31606284060 31801786848 32133055461 32956979960 33465477240 34023235194 34895625840 35010037728 35777010204 36694369440 37076602455 37803594660 37927540872 39257579070 39548375952 39752233560 41874751008 42090600240 42141712080 42844073948 43762547160 44491922946 44620636320 44721262755 45364313592 47409426090 47702680272 49435469940 50404792880 50570054496 51034852791 52343438760 53002978080 53555092435 55041554160 56705391990 56891311308 58350062880 59322563928 59628350340 60485751456 62812126512 63212568120 64266110922 65913959920 66737884419 66930954480 68046470388 69791251680 71114139135 71554020408 74153204910 75607189320 75855081744 78515158140 79096751904 79504467120 84181200480 84283424160 85058087985 85688147896 87525094320 88983845892 89442525510 90728627184 94818852180 95405360544 96399166383 98870939880 100809585760 102069705582 104686877520 107110184870 110083108320 111229807365 113410783980 113782622616 118645127856 119256700680 125624253024 126425136240 128532221844 131827919840 133475768838 133861908960 136092940776 142228278270 143108040816 148306409820 151214378640 151710163488 157030316280 159008934240 160665277305 170116175970 171376295792 175050188640 177967691784 178885051020 181457254368 189637704360 192798332766 197741879760 204139411164 209373755040 214220369740 222459614730 226821567960 227565245232 237290255712 238513401360 252850272480 255174263955 257064443688 266951537676 272185881552 284456556540 286216081632 289197499149 296612819640 302428757280 314060632560 321330554610 333689422095 340232351940 342752591584 355935383568 357770102040 379275408720 385596665532 395483759520 408278822328 428440739480 444919229460 453643135920 455130490464 477026802720 481995831915 510348527910 514128887376 533903075352 544371763104 568913113080 578394998298 593225639280 628121265120 642661109220 667378844190 680464703880 711870767136 715540204080 758550817440 771193331064 816557644656 856881478960 867592497447 889838458920 907286271840 963991663830 1020697055820 1028257774752 1067806150704 1137826226160 1156789996596 1186451278560 1285322218440 1334757688380 1360929407760 1431080408160 1445987495745 1542386662128 1633115289312 1713762957920 1735184994894 1779676917840 1927983327660 2041394111640 2135612301408 2275652452320 2313579993192 2570644436880 2669515376760 2721858815520 2891974991490 3084773324256 3470369989788 3559353835680 3855966655320 4082788223280 4337962487235 4627159986384 5141288873760 5339030753520 5783949982980 6940739979576 7711933310640 8165576446560 8675924974470 9254319972768 10678061507040 11567899965960 13881479959152 15423866621280 17351849948940 23135799931920 27762959918304 34703699897880 46271599863840 69407399795760 138814799591520
- Sum of all divisors σ(n): 573700752801792
- Sum of proper divisors (its aliquot sum) s(n): 434885953210272
- 138814799591520 is an abundant number, because the sum of its proper divisors (434885953210272) is greater than itself. Its abundance is 296071153618752
Bases of 138814799591520
- Binary: 111111001000000010101101101000110111000011000002
- Hexadecimal: 0x7E4056D1B860
- Base-36: 1D7EMZL200
Squares and roots of 138814799591520
- 138814799591520 squared (1388147995915202) is 19269548585633861158855910400
- 138814799591520 cubed (1388147995915203) is 2674898525133822103734631824824457719808000
-
The
square root of 138814799591520 is 11781969.2577904819 -
The
cube root of 138814799591520 is 51777.9982877495
Scales and comparisons
How big is 138814799591520?- 138,814,799,591,520 seconds is equal to 4,413,881 years, 12 weeks, 5 days, 1 hour, 12 minutes.
-
To count from 1 to 138,814,799,591,520 would take you about eleven million, thirty-four thousand, seven hundred three 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 138814799591520 cubic inches would be around 4314.8 feet tall.
Recreational maths with 138814799591520
- 138814799591520 backwards is 025195997418831
- 138814799591520 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138814799591520's digits is 72
- More coming soon!
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"Number 138814799591520 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 138814799591520 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138814799591520/
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The information we have on file for 138814799591520 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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