138438144000
138,438,144,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138438144000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 624 divisors.
138438144000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred twenty-four divisors.
Prime factorization of 138438144000:
212 × 32 × 53 × 13 × 2311
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 2311)See below for interesting mathematical facts about the number 138438144000 from the Numbermatics database.
Names of 138438144000
- Cardinal: 138438144000 can be written as One hundred thirty-eight billion, four hundred thirty-eight million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.38438144 × 1011
Factors of 138438144000
Divisors of 138438144000
- Number of divisors d(n): 624
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 125 128 130 144 150 156 160 180 192 195 200 208 225 234 240 250 256 260 288 300 312 320 325 360 375 384 390 400 416 450 468 480 500 512 520 576 585 600 624 640 650 720 750 768 780 800 832 900 936 960 975 1000 1024 1040 1125 1152 1170 1200 1248 1280 1300 1440 1500 1536 1560 1600 1625 1664 1800 1872 1920 1950 2000 2048 2080 2250 2304 2311 2340 2400 2496 2560 2600 2880 2925 3000 3072 3120 3200 3250 3328 3600 3744 3840 3900 4000 4096 4160 4500 4608 4622 4680 4800 4875 4992 5120 5200 5760 5850 6000 6144 6240 6400 6500 6656 6933 7200 7488 7680 7800 8000 8320 9000 9216 9244 9360 9600 9750 9984 10240 10400 11520 11555 11700 12000 12288 12480 12800 13000 13312 13866 14400 14625 14976 15360 15600 16000 16640 18000 18432 18488 18720 19200 19500 19968 20480 20799 20800 23040 23110 23400 24000 24960 25600 26000 26624 27732 28800 29250 29952 30043 30720 31200 32000 33280 34665 36000 36864 36976 37440 38400 39000 39936 41598 41600 46080 46220 46800 48000 49920 51200 52000 53248 55464 57600 57775 58500 59904 60086 61440 62400 64000 66560 69330 72000 73952 74880 76800 78000 79872 83196 83200 90129 92160 92440 93600 96000 99840 102400 103995 104000 110928 115200 115550 117000 119808 120172 124800 128000 133120 138660 144000 147904 149760 150215 153600 156000 159744 166392 166400 173325 180258 184320 184880 187200 192000 199680 207990 208000 221856 230400 231100 234000 239616 240344 249600 256000 266240 270387 277320 288000 288875 295808 299520 300430 307200 312000 332784 332800 346650 360516 369760 374400 384000 399360 415980 416000 443712 450645 460800 462200 468000 479232 480688 499200 512000 519975 540774 554640 576000 577750 591616 599040 600860 624000 665568 665600 693300 721032 739520 748800 751075 768000 798720 831960 832000 866625 887424 901290 921600 924400 936000 961376 998400 1039950 1081548 1109280 1152000 1155500 1183232 1198080 1201720 1248000 1331136 1331200 1351935 1386600 1442064 1479040 1497600 1502150 1536000 1663920 1664000 1733250 1774848 1802580 1848800 1872000 1922752 1996800 2079900 2163096 2218560 2253225 2304000 2311000 2366464 2396160 2403440 2496000 2599875 2662272 2703870 2773200 2884128 2958080 2995200 3004300 3327840 3328000 3466500 3549696 3605160 3697600 3744000 3755375 3845504 3993600 4159800 4326192 4437120 4506450 4608000 4622000 4732928 4806880 4992000 5199750 5324544 5407740 5546400 5768256 5916160 5990400 6008600 6655680 6656000 6759675 6933000 7099392 7210320 7395200 7488000 7510750 7691008 8319600 8652384 8874240 9012900 9244000 9465856 9613760 9984000 10399500 10649088 10815480 11092800 11266125 11536512 11832320 11980800 12017200 13311360 13519350 13866000 14198784 14420640 14790400 14976000 15021500 15382016 16639200 17304768 17748480 18025800 18488000 19227520 19968000 20799000 21298176 21630960 22185600 22532250 23073024 23664640 24034400 26622720 27038700 27732000 28397568 28841280 29580800 29952000 30043000 30764032 33278400 33798375 34609536 35496960 36051600 36976000 38455040 41598000 42596352 43261920 44371200 45064500 46146048 47329280 48068800 53245440 54077400 55464000 57682560 59161600 59904000 60086000 61528064 66556800 67596750 69219072 70993920 72103200 73952000 76910080 83196000 85192704 86523840 88742400 90129000 92292096 96137600 106490880 108154800 110928000 115365120 118323200 120172000 123056128 133113600 135193500 138438144 141987840 144206400 147904000 153820160 166392000 173047680 177484800 180258000 184584192 192275200 212981760 216309600 221856000 230730240 236646400 240344000 266227200 270387000 276876288 288412800 295808000 307640320 332784000 346095360 354969600 360516000 369168384 384550400 425963520 432619200 443712000 461460480 480688000 532454400 540774000 553752576 576825600 591616000 615280640 665568000 692190720 709939200 721032000 769100800 865238400 887424000 922920960 961376000 1064908800 1081548000 1107505152 1153651200 1183232000 1331136000 1384381440 1442064000 1538201600 1730476800 1774848000 1845841920 1922752000 2129817600 2163096000 2307302400 2662272000 2768762880 2884128000 3076403200 3460953600 3549696000 3845504000 4326192000 4614604800 5324544000 5537525760 5768256000 6921907200 7691008000 8652384000 9229209600 10649088000 11536512000 13843814400 15382016000 17304768000 23073024000 27687628800 34609536000 46146048000 69219072000 138438144000
- Sum of all divisors σ(n): 537676112064
- Sum of proper divisors (its aliquot sum) s(n): 399237968064
- 138438144000 is an abundant number, because the sum of its proper divisors (399237968064) is greater than itself. Its abundance is 260799824064
Bases of 138438144000
- Binary: 100000001110111000111001110000000000002
- Hexadecimal: 0x203B8E7000
- Base-36: 1RLIHVK0
Squares and roots of 138438144000
- 138438144000 squared (1384381440002) is 19165119714164736000000
- 138438144000 cubed (1384381440003) is 2653183602766776562089984000000000
-
The
square root of 138438144000 is 372072.7670765491 -
The
cube root of 138438144000 is 5173.1124951491
Scales and comparisons
How big is 138438144000?- 138,438,144,000 seconds is equal to 4,401 years, 47 weeks, 8 hours.
-
To count from 1 to 138,438,144,000 would take you about eight thousand, eight 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 138438144000 cubic inches would be around 431.1 feet tall.
Recreational maths with 138438144000
- 138438144000 backwards is 000441834831
- 138438144000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138438144000's digits is 36
- More coming soon!
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