138737664000
138,737,664,000 is an even composite number composed of five prime numbers multiplied together.
138737664000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138737664000:
214 × 33 × 53 × 13 × 193
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 193)See below for interesting mathematical facts about the number 138737664000 from the Numbermatics database.
Names of 138737664000
- Cardinal: 138737664000 can be written as One hundred thirty-eight billion, seven hundred thirty-seven million, six hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.38737664 × 1011
Factors of 138737664000
Divisors of 138737664000
- Number of divisors d(n): 960
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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 90 96 100 104 108 117 120 125 128 130 135 144 150 156 160 180 192 193 195 200 208 216 225 234 240 250 256 260 270 288 300 312 320 325 351 360 375 384 386 390 400 416 432 450 468 480 500 512 520 540 576 579 585 600 624 640 650 675 702 720 750 768 772 780 800 832 864 900 936 960 965 975 1000 1024 1040 1080 1125 1152 1158 1170 1200 1248 1280 1300 1350 1404 1440 1500 1536 1544 1560 1600 1625 1664 1728 1737 1755 1800 1872 1920 1930 1950 2000 2048 2080 2160 2250 2304 2316 2340 2400 2496 2509 2560 2600 2700 2808 2880 2895 2925 3000 3072 3088 3120 3200 3250 3328 3375 3456 3474 3510 3600 3744 3840 3860 3900 4000 4096 4160 4320 4500 4608 4632 4680 4800 4825 4875 4992 5018 5120 5200 5211 5400 5616 5760 5790 5850 6000 6144 6176 6240 6400 6500 6656 6750 6912 6948 7020 7200 7488 7527 7680 7720 7800 8000 8192 8320 8640 8685 8775 9000 9216 9264 9360 9600 9650 9750 9984 10036 10240 10400 10422 10800 11232 11520 11580 11700 12000 12288 12352 12480 12545 12800 13000 13312 13500 13824 13896 14040 14400 14475 14625 14976 15054 15360 15440 15600 16000 16384 16640 17280 17370 17550 18000 18432 18528 18720 19200 19300 19500 19968 20072 20480 20800 20844 21600 22464 22581 23040 23160 23400 24000 24125 24576 24704 24960 25090 25600 26000 26055 26624 27000 27648 27792 28080 28800 28950 29250 29952 30108 30720 30880 31200 32000 33280 34560 34740 35100 36000 36864 37056 37440 37635 38400 38600 39000 39936 40144 40960 41600 41688 43200 43425 43875 44928 45162 46080 46320 46800 48000 48250 49152 49408 49920 50180 51200 52000 52110 53248 54000 55296 55584 56160 57600 57900 58500 59904 60216 61440 61760 62400 62725 64000 66560 67743 69120 69480 70200 72000 72375 73728 74112 74880 75270 76800 77200 78000 79872 80288 81920 83200 83376 86400 86850 87750 89856 90324 92160 92640 93600 96000 96500 98816 99840 100360 102400 104000 104220 106496 108000 110592 111168 112320 112905 115200 115800 117000 119808 120432 122880 123520 124800 125450 128000 130275 133120 135486 138240 138960 140400 144000 144750 147456 148224 149760 150540 153600 154400 156000 159744 160576 166400 166752 172800 173700 175500 179712 180648 184320 185280 187200 188175 192000 193000 197632 199680 200720 204800 208000 208440 212992 216000 217125 221184 222336 224640 225810 230400 231600 234000 239616 240864 245760 247040 249600 250900 256000 260550 266240 270972 276480 277920 280800 288000 289500 296448 299520 301080 307200 308800 312000 313625 319488 321152 332800 333504 338715 345600 347400 351000 359424 361296 368640 370560 374400 376350 384000 386000 395264 399360 401440 409600 416000 416880 432000 434250 442368 444672 449280 451620 460800 463200 468000 479232 481728 494080 499200 501800 512000 521100 532480 541944 552960 555840 561600 564525 576000 579000 592896 599040 602160 614400 617600 624000 627250 638976 642304 651375 665600 667008 677430 691200 694800 702000 718848 722592 737280 741120 748800 752700 768000 772000 790528 798720 802880 832000 833760 864000 868500 889344 898560 903240 921600 926400 936000 940875 958464 963456 988160 998400 1003600 1024000 1042200 1064960 1083888 1105920 1111680 1123200 1129050 1152000 1158000 1185792 1198080 1204320 1228800 1235200 1248000 1254500 1284608 1302750 1331200 1334016 1354860 1382400 1389600 1404000 1437696 1445184 1482240 1497600 1505400 1536000 1544000 1581056 1597440 1605760 1664000 1667520 1693575 1728000 1737000 1778688 1797120 1806480 1843200 1852800 1872000 1881750 1916928 1926912 1976320 1996800 2007200 2048000 2084400 2167776 2211840 2223360 2246400 2258100 2304000 2316000 2371584 2396160 2408640 2470400 2496000 2509000 2569216 2605500 2662400 2668032 2709720 2764800 2779200 2808000 2822625 2875392 2890368 2964480 2995200 3010800 3072000 3088000 3162112 3194880 3211520 3328000 3335040 3387150 3456000 3474000 3557376 3594240 3612960 3686400 3705600 3744000 3763500 3853824 3952640 3993600 4014400 4168800 4335552 4446720 4492800 4516200 4608000 4632000 4743168 4792320 4817280 4940800 4992000 5018000 5138432 5211000 5324800 5336064 5419440 5529600 5558400 5616000 5645250 5750784 5780736 5928960 5990400 6021600 6144000 6176000 6423040 6656000 6670080 6774300 6912000 6948000 7114752 7188480 7225920 7411200 7488000 7527000 7707648 7905280 7987200 8028800 8337600 8467875 8671104 8893440 8985600 9032400 9216000 9264000 9486336 9584640 9634560 9881600 9984000 10036000 10276864 10422000 10672128 10838880 11059200 11116800 11232000 11290500 11561472 11857920 11980800 12043200 12352000 12846080 13312000 13340160 13548600 13824000 13896000 14229504 14376960 14451840 14822400 14976000 15054000 15415296 15810560 15974400 16057600 16675200 16935750 17342208 17786880 17971200 18064800 18432000 18528000 19269120 19763200 19968000 20072000 20553728 20844000 21344256 21677760 22233600 22464000 22581000 23122944 23715840 23961600 24086400 24704000 25692160 26624000 26680320 27097200 27648000 27792000 28459008 28753920 28903680 29644800 29952000 30108000 30830592 32115200 33350400 33871500 34684416 35573760 35942400 36129600 37056000 38538240 39526400 39936000 40144000 41107456 41688000 42688512 43355520 44467200 44928000 45162000 46245888 47431680 47923200 48172800 49408000 51384320 53360640 54194400 55296000 55584000 57807360 59289600 59904000 60216000 61661184 64230400 66700800 67743000 69368832 71147520 71884800 72259200 74112000 77076480 79052800 79872000 80288000 83376000 85377024 86711040 88934400 89856000 90324000 92491776 96345600 98816000 102768640 106721280 108388800 111168000 115614720 118579200 119808000 120432000 123322368 128460800 133401600 135486000 138737664 142295040 143769600 144518400 148224000 154152960 160576000 166752000 173422080 177868800 179712000 180648000 184983552 192691200 197632000 205537280 213442560 216777600 222336000 231229440 237158400 239616000 240864000 256921600 266803200 270972000 277475328 289036800 296448000 308305920 321152000 333504000 346844160 355737600 359424000 361296000 369967104 385382400 395264000 426885120 433555200 444672000 462458880 481728000 513843200 533606400 541944000 554950656 578073600 592896000 616611840 642304000 667008000 693688320 711475200 718848000 722592000 770764800 867110400 889344000 924917760 963456000 1027686400 1067212800 1083888000 1109901312 1156147200 1185792000 1284608000 1334016000 1387376640 1445184000 1541529600 1734220800 1778688000 1849835520 1926912000 2134425600 2167776000 2312294400 2569216000 2668032000 2774753280 2890368000 3083059200 3468441600 3557376000 3853824000 4335552000 4624588800 5138432000 5336064000 5549506560 5780736000 6936883200 7707648000 8671104000 9249177600 10672128000 11561472000 13873766400 15415296000 17342208000 23122944000 27747532800 34684416000 46245888000 69368832000 138737664000
- Sum of all divisors σ(n): 555329873280
- Sum of proper divisors (its aliquot sum) s(n): 416592209280
- 138737664000 is an abundant number, because the sum of its proper divisors (416592209280) is greater than itself. Its abundance is 277854545280
Bases of 138737664000
- Binary: 100000010011010110100011000000000000002
- Hexadecimal: 0x204D68C000
- Base-36: 1RQGTMO0
Squares and roots of 138737664000
- 138737664000 squared (1387376640002) is 19248139412176896000000
- 138737664000 cubed (1387376640003) is 2670441898391755705810944000000000
-
The
square root of 138737664000 is 372475.0515135209 -
The
cube root of 138737664000 is 5176.8405971133
Scales and comparisons
How big is 138737664000?- 138,737,664,000 seconds is equal to 4,411 years, 22 weeks, 2 days.
-
To count from 1 to 138,737,664,000 would take you about eight thousand, eight hundred twenty-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 138737664000 cubic inches would be around 431.4 feet tall.
Recreational maths with 138737664000
- 138737664000 backwards is 000466737831
- 138737664000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138737664000's digits is 45
- More coming soon!
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