138018816000

Names of 138018816000

• Cardinal: 138018816000 can be written as One hundred thirty-eight billion, eighteen million, eight hundred sixteen thousand.

Scientific notation

• Scientific notation: 1.38018816 × 10¹¹

Factors of 138018816000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 28
• Sum of prime factors: 23

Divisors of 138018816000

• Number of divisors d(n): 840
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 81 90 96 100 104 108 117 120 125 128 130 135 144 150 156 160 162 180 192 195 200 208 216 225 234 240 250 256 260 270 288 300 312 320 324 325 351 360 375 384 390 400 405 416 432 450 468 480 500 512 520 540 576 585 600 624 640 648 650 675 702 720 750 768 780 800 810 832 864 900 936 960 975 1000 1024 1040 1053 1080 1125 1152 1170 1200 1248 1280 1296 1300 1350 1404 1440 1500 1536 1560 1600 1620 1625 1664 1728 1755 1800 1872 1920 1950 2000 2025 2048 2080 2106 2160 2250 2304 2340 2400 2496 2560 2592 2600 2700 2808 2880 2925 3000 3072 3120 3200 3240 3250 3328 3375 3456 3510 3600 3744 3840 3900 4000 4050 4096 4160 4212 4320 4500 4608 4680 4800 4875 4992 5120 5184 5200 5265 5400 5616 5760 5850 6000 6144 6240 6400 6480 6500 6656 6750 6912 7020 7200 7488 7680 7800 8000 8100 8192 8320 8424 8640 8775 9000 9216 9360 9600 9750 9984 10125 10240 10368 10400 10530 10800 11232 11520 11700 12000 12288 12480 12800 12960 13000 13312 13500 13824 14040 14400 14625 14976 15360 15600 16000 16200 16384 16640 16848 17280 17550 18000 18432 18720 19200 19500 19968 20250 20480 20736 20800 21060 21600 22464 23040 23400 24000 24576 24960 25600 25920 26000 26325 26624 27000 27648 28080 28800 29250 29952 30720 31200 32000 32400 32768 33280 33696 34560 35100 36000 36864 37440 38400 39000 39936 40500 40960 41472 41600 42120 43200 43875 44928 46080 46800 48000 49152 49920 51200 51840 52000 52650 53248 54000 55296 56160 57600 58500 59904 61440 62400 64000 64800 65536 66560 67392 69120 70200 72000 73728 74880 76800 78000 79872 81000 81920 82944 83200 84240 86400 87750 89856 92160 93600 96000 98304 99840 102400 103680 104000 105300 106496 108000 110592 112320 115200 117000 119808 122880 124800 128000 129600 131072 131625 133120 134784 138240 140400 144000 147456 149760 153600 156000 159744 162000 163840 165888 166400 168480 172800 175500 179712 184320 187200 192000 196608 199680 204800 207360 208000 210600 212992 216000 221184 224640 230400 234000 239616 245760 249600 256000 259200 262144 263250 266240 269568 276480 280800 288000 294912 299520 307200 312000 319488 324000 327680 331776 332800 336960 345600 351000 359424 368640 374400 384000 393216 399360 409600 414720 416000 421200 425984 432000 442368 449280 460800 468000 479232 491520 499200 512000 518400 524288 526500 532480 539136 552960 561600 576000 589824 599040 614400 624000 638976 648000 655360 663552 665600 673920 691200 702000 718848 737280 748800 768000 786432 798720 819200 829440 832000 842400 851968 864000 884736 898560 921600 936000 958464 983040 998400 1024000 1036800 1048576 1053000 1064960 1078272 1105920 1123200 1152000 1179648 1198080 1228800 1248000 1277952 1296000 1310720 1327104 1331200 1347840 1382400 1404000 1437696 1474560 1497600 1536000 1572864 1597440 1638400 1658880 1664000 1684800 1703936 1728000 1769472 1797120 1843200 1872000 1916928 1966080 1996800 2048000 2073600 2106000 2129920 2156544 2211840 2246400 2304000 2359296 2396160 2457600 2496000 2555904 2592000 2621440 2654208 2662400 2695680 2764800 2808000 2875392 2949120 2995200 3072000 3145728 3194880 3276800 3317760 3328000 3369600 3407872 3456000 3538944 3594240 3686400 3744000 3833856 3932160 3993600 4096000 4147200 4212000 4259840 4313088 4423680 4492800 4608000 4718592 4792320 4915200 4992000 5111808 5184000 5242880 5308416 5324800 5391360 5529600 5616000 5750784 5898240 5990400 6144000 6389760 6553600 6635520 6656000 6739200 6815744 6912000 7077888 7188480 7372800 7488000 7667712 7864320 7987200 8192000 8294400 8424000 8519680 8626176 8847360 8985600 9216000 9437184 9584640 9830400 9984000 10223616 10368000 10616832 10649600 10782720 11059200 11232000 11501568 11796480 11980800 12288000 12779520 13107200 13271040 13312000 13478400 13631488 13824000 14155776 14376960 14745600 14976000 15335424 15728640 15974400 16384000 16588800 16848000 17039360 17252352 17694720 17971200 18432000 19169280 19660800 19968000 20447232 20736000 21233664 21299200 21565440 22118400 22464000 23003136 23592960 23961600 24576000 25559040 26214400 26542080 26624000 26956800 27648000 28311552 28753920 29491200 29952000 30670848 31948800 32768000 33177600 33696000 34078720 34504704 35389440 35942400 36864000 38338560 39321600 39936000 40894464 41472000 42467328 42598400 43130880 44236800 44928000 46006272 47185920 47923200 49152000 51118080 53084160 53248000 53913600 55296000 57507840 58982400 59904000 61341696 63897600 65536000 66355200 67392000 68157440 69009408 70778880 71884800 73728000 76677120 78643200 79872000 82944000 84934656 85196800 86261760 88473600 89856000 92012544 95846400 98304000 102236160 106168320 106496000 107827200 110592000 115015680 117964800 119808000 122683392 127795200 131072000 132710400 134784000 138018816 141557760 143769600 147456000 153354240 159744000 165888000 170393600 172523520 176947200 179712000 184025088 191692800 196608000 204472320 212336640 212992000 215654400 221184000 230031360 235929600 239616000 255590400 265420800 269568000 276037632 287539200 294912000 306708480 319488000 331776000 340787200 345047040 353894400 359424000 368050176 383385600 393216000 424673280 425984000 431308800 442368000 460062720 479232000 511180800 530841600 539136000 552075264 575078400 589824000 613416960 638976000 663552000 690094080 707788800 718848000 766771200 851968000 862617600 884736000 920125440 958464000 1022361600 1061683200 1078272000 1104150528 1150156800 1179648000 1277952000 1327104000 1380188160 1437696000 1533542400 1703936000 1725235200 1769472000 1840250880 1916928000 2123366400 2156544000 2300313600 2555904000 2654208000 2760376320 2875392000 3067084800 3450470400 3538944000 3833856000 4313088000 4600627200 5111808000 5308416000 5520752640 5750784000 6900940800 7667712000 8626176000 9201254400 10616832000 11501568000 13801881600 15335424000 17252352000 23003136000 27603763200 34504704000 46006272000 69009408000 138018816000
• Sum of all divisors σ(n): 554201511864
• Sum of proper divisors (its aliquot sum) s(n): 416182695864
• 138018816000 is an abundant number, because the sum of its proper divisors (416182695864) is greater than itself. Its abundance is 278163879864

Bases of 138018816000

• Binary: 10000000100010100100000000000000000000₂
• Hexadecimal: 0x2022900000
• Base-36: 1REKU800

Squares and roots of 138018816000

• 138018816000 squared (138018816000²) is 19049193570041856000000
• 138018816000 cubed (138018816000³) is 2629147142291990035562496000000000
• The square root of 138018816000 is 371508.8370415971
• The cube root of 138018816000 is 5167.8841076037

Scales and comparisons

• 138,018,816,000 seconds is equal to 4,388 years, 29 weeks, 5 days.
• To count from 1 to 138,018,816,000 would take you about eight thousand, seven hundred seventy-seven 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 138018816000 cubic inches would be around 430.7 feet tall.

Recreational maths with 138018816000

• 138018816000 backwards is 000618810831
• 138018816000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138018816000's digits is 36
• More coming soon!