138837504000

Names of 138837504000

• Cardinal: 138837504000 can be written as One hundred thirty-eight billion, eight hundred thirty-seven million, five hundred four thousand.

Scientific notation

• Scientific notation: 1.38837504 × 10¹¹

Factors of 138837504000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 449

Divisors of 138837504000

• Number of divisors d(n): 832
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 39 40 48 50 51 52 60 64 65 68 75 78 80 85 96 100 102 104 120 125 128 130 136 150 156 160 170 192 195 200 204 208 221 240 250 255 256 260 272 300 312 320 325 340 375 384 390 400 408 409 416 425 442 480 500 510 512 520 544 600 624 640 650 663 680 750 768 780 800 816 818 832 850 884 960 975 1000 1020 1024 1040 1088 1105 1200 1227 1248 1275 1280 1300 1326 1360 1500 1536 1560 1600 1625 1632 1636 1664 1700 1768 1920 1950 2000 2040 2045 2048 2080 2125 2176 2210 2400 2454 2496 2550 2560 2600 2652 2720 3000 3072 3120 3200 3250 3264 3272 3315 3328 3400 3536 3840 3900 4000 4080 4090 4096 4160 4250 4352 4420 4800 4875 4908 4992 5100 5120 5200 5304 5317 5440 5525 6000 6135 6144 6240 6375 6400 6500 6528 6544 6630 6656 6800 6953 7072 7680 7800 8000 8160 8180 8320 8500 8704 8840 9600 9750 9816 9984 10200 10225 10240 10400 10608 10634 10880 11050 12000 12270 12288 12480 12750 12800 13000 13056 13088 13260 13312 13600 13906 14144 15360 15600 15951 16000 16320 16360 16575 16640 17000 17408 17680 19200 19500 19632 19968 20400 20450 20480 20800 20859 21216 21268 21760 22100 24000 24540 24960 25500 25600 26000 26112 26176 26520 26585 26624 27200 27625 27812 28288 30675 30720 31200 31902 32000 32640 32720 33150 33280 34000 34765 34816 35360 38400 39000 39264 39936 40800 40900 41600 41718 42432 42536 43520 44200 48000 49080 49920 51000 51125 51200 52000 52224 52352 53040 53170 53248 54400 55250 55624 56576 61350 61440 62400 63804 64000 65280 65440 66300 66560 68000 69530 69632 70720 76800 78000 78528 79755 79872 81600 81800 82875 83200 83436 84864 85072 87040 88400 90389 96000 98160 99840 102000 102250 102400 104000 104295 104448 104704 106080 106340 108800 110500 111248 113152 122700 124800 127608 128000 130560 130880 132600 132925 133120 136000 139060 141440 153375 153600 156000 157056 159510 159744 163200 163600 165750 166400 166872 169728 170144 173825 174080 176800 180778 192000 196320 199680 204000 204500 208000 208590 208896 209408 212160 212680 217600 221000 222496 226304 245400 249600 255216 256000 261120 261760 265200 265850 266240 271167 272000 278120 282880 306750 307200 312000 314112 319020 326400 327200 331500 332800 333744 339456 340288 347650 348160 353600 361556 384000 392640 398775 399360 408000 409000 416000 417180 418816 424320 425360 435200 442000 444992 451945 452608 490800 499200 510432 512000 521475 522240 523520 530400 531700 542334 544000 556240 565760 613500 624000 628224 638040 652800 654400 663000 664625 665600 667488 678912 680576 695300 707200 723112 768000 785280 797550 798720 816000 818000 832000 834360 837632 848640 850720 869125 870400 884000 889984 903890 905216 981600 998400 1020864 1042950 1044480 1047040 1060800 1063400 1084668 1088000 1112480 1131520 1227000 1248000 1256448 1276080 1305600 1308800 1326000 1329250 1331200 1334976 1355835 1357824 1361152 1390600 1414400 1446224 1536000 1570560 1595100 1632000 1636000 1664000 1668720 1675264 1697280 1701440 1738250 1740800 1768000 1779968 1807780 1963200 1993875 1996800 2041728 2085900 2094080 2121600 2126800 2169336 2176000 2224960 2259725 2263040 2454000 2496000 2512896 2552160 2607375 2611200 2617600 2652000 2658500 2669952 2711670 2715648 2722304 2781200 2828800 2892448 3141120 3190200 3264000 3272000 3328000 3337440 3394560 3402880 3476500 3536000 3559936 3615560 3926400 3987750 3993600 4083456 4171800 4188160 4243200 4253600 4338672 4352000 4449920 4519450 4526080 4908000 4992000 5025792 5104320 5214750 5222400 5235200 5304000 5317000 5339904 5423340 5444608 5562400 5657600 5784896 6282240 6380400 6528000 6544000 6656000 6674880 6779175 6789120 6805760 6953000 7072000 7119872 7231120 7852800 7975500 8166912 8343600 8376320 8486400 8507200 8677344 8704000 8899840 9038900 9816000 9984000 10208640 10429500 10470400 10608000 10634000 10679808 10846680 10889216 11124800 11298625 11315200 11569792 12564480 12760800 13056000 13088000 13349760 13558350 13578240 13611520 13906000 14144000 14239744 14462240 15705600 15951000 16333824 16687200 16972800 17014400 17354688 17799680 18077800 19632000 19968000 20417280 20859000 20940800 21216000 21268000 21359616 21693360 21778432 22249600 22597250 22630400 23139584 25128960 25521600 26112000 26176000 26699520 27116700 27223040 27812000 28288000 28479488 28924480 31411200 31902000 32667648 33374400 33895875 33945600 34028800 34709376 35599360 36155600 39264000 40834560 41718000 41881600 42432000 42536000 42719232 43386720 44499200 45194500 46279168 51043200 52352000 53399040 54233400 54446080 55624000 56576000 57848960 62822400 63804000 65335296 66748800 67791750 67891200 68057600 69418752 71198720 72311200 78528000 81669120 83436000 84864000 85072000 85438464 86773440 88998400 90389000 92558336 102086400 104704000 106798080 108466800 108892160 111248000 113152000 115697920 125644800 127608000 133497600 135583500 136115200 138837504 142397440 144622400 157056000 163338240 166872000 169728000 170144000 173546880 177996800 180778000 185116672 204172800 209408000 213596160 216933600 222496000 231395840 255216000 266995200 271167000 272230400 277675008 289244800 314112000 326676480 333744000 339456000 340288000 347093760 355993600 361556000 370233344 408345600 427192320 433867200 444992000 462791680 510432000 533990400 542334000 544460800 555350016 578489600 628224000 667488000 680576000 694187520 711987200 723112000 816691200 867734400 889984000 925583360 1020864000 1067980800 1084668000 1110700032 1156979200 1334976000 1361152000 1388375040 1446224000 1633382400 1735468800 1779968000 1851166720 2041728000 2135961600 2169336000 2313958400 2669952000 2722304000 2776750080 2892448000 3470937600 3559936000 4083456000 4338672000 4627916800 5339904000 5553500160 5784896000 6941875200 8166912000 8677344000 9255833600 10679808000 11569792000 13883750400 17354688000 23139584000 27767500800 34709376000 46279168000 69418752000 138837504000
• Sum of all divisors σ(n): 528087530880
• Sum of proper divisors (its aliquot sum) s(n): 389250026880
• 138837504000 is an abundant number, because the sum of its proper divisors (389250026880) is greater than itself. Its abundance is 250412522880

Bases of 138837504000

• Binary: 10000001010011010111000011000000000000₂
• Hexadecimal: 0x20535C3000
• Base-36: 1RS49JPC

Squares and roots of 138837504000

• 138837504000 squared (138837504000²) is 19275852516950016000000
• 138837504000 cubed (138837504000³) is 2676211250925457914200064000000000
• The square root of 138837504000 is 372609.0498095825
• The cube root of 138837504000 is 5178.0821052901

Scales and comparisons

• 138,837,504,000 seconds is equal to 4,414 years, 31 weeks, 2 days, 13 hours, 20 minutes.
• To count from 1 to 138,837,504,000 would take you about eight thousand, eight hundred twenty-nine 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 138837504000 cubic inches would be around 431.5 feet tall.

Recreational maths with 138837504000

• 138837504000 backwards is 000405738831
• 138837504000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138837504000's digits is 39
• More coming soon!