138201348096000
138,201,348,096,000 is an even composite number composed of six prime numbers multiplied together.
138201348096000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 138201348096000:
214 × 33 × 53 × 7 × 67 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 67 × 73 × 73)See below for interesting mathematical facts about the number 138201348096000 from the Numbermatics database.
Names of 138201348096000
- Cardinal: 138201348096000 can be written as One hundred thirty-eight trillion, two hundred one billion, three hundred forty-eight million, ninety-six thousand.
Scientific notation
- Scientific notation: 1.38201348096 × 1014
Factors of 138201348096000
Divisors of 138201348096000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 67 70 72 73 75 80 84 90 96 100 105 108 112 120 125 126 128 134 135 140 144 146 150 160 168 175 180 189 192 200 201 210 216 219 224 225 240 250 252 256 268 270 280 288 292 300 315 320 335 336 350 360 365 375 378 384 400 402 420 432 438 448 450 469 480 500 504 511 512 525 536 540 560 576 584 600 603 630 640 657 670 672 675 700 720 730 750 756 768 800 804 840 864 875 876 896 900 938 945 960 1000 1005 1008 1022 1024 1050 1072 1080 1095 1120 1125 1152 1168 1200 1206 1260 1280 1314 1340 1344 1350 1400 1407 1440 1460 1500 1512 1533 1536 1575 1600 1608 1675 1680 1728 1750 1752 1792 1800 1809 1825 1876 1890 1920 1971 2000 2010 2016 2044 2048 2100 2144 2160 2190 2240 2250 2304 2336 2345 2400 2412 2520 2555 2560 2625 2628 2680 2688 2700 2800 2814 2880 2920 3000 3015 3024 3066 3072 3150 3200 3216 3285 3350 3360 3375 3456 3500 3504 3584 3600 3618 3650 3752 3780 3840 3942 4000 4020 4032 4088 4096 4200 4221 4288 4320 4380 4480 4500 4599 4608 4672 4690 4725 4800 4824 4891 5025 5040 5110 5120 5250 5256 5329 5360 5376 5400 5475 5600 5628 5760 5840 6000 6030 6048 6132 6144 6300 6400 6432 6570 6700 6720 6750 6912 7000 7008 7035 7168 7200 7236 7300 7504 7560 7665 7680 7875 7884 8000 8040 8064 8176 8192 8375 8400 8442 8576 8640 8760 8960 9000 9045 9125 9198 9216 9344 9380 9450 9600 9648 9782 9855 10050 10080 10220 10240 10500 10512 10658 10720 10752 10800 10950 11200 11256 11520 11680 11725 12000 12060 12096 12264 12288 12600 12663 12775 12800 12864 13140 13400 13440 13500 13797 13824 14000 14016 14070 14336 14400 14472 14600 14673 15008 15075 15120 15330 15360 15750 15768 15987 16000 16080 16128 16352 16384 16425 16750 16800 16884 17152 17280 17520 17920 18000 18090 18250 18396 18432 18688 18760 18900 19200 19296 19564 19710 20100 20160 20440 20480 21000 21024 21105 21316 21440 21504 21600 21900 22400 22512 22995 23040 23360 23450 23625 24000 24120 24192 24455 24528 24576 25125 25200 25326 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17529344000 17549377536 17994967200 18030182400 18280601600 18417024000 18931691520 19099136000 19194631680 19280322000 19644825600 19720512000 19743049728 19994408000 20474273792 20565676800 20627066880 21035212800 21486528000 21593960640 21936721920 22493709000 22537728000 22850752000 22918963200 23033558016 23664614400 23993289600 24556032000 24678812160 25242255360 25592842240 25707096000 25783833600 25933824000 26294016000 26324066304 26992450800 27045273600 27420902400 27502755840 28256256000 28648704000 28791947520 29248962560 29467238400 29580768000 29991612000 30050304000 30711410688 30848515200 31552819200 31991052800 32229792000 32741376000 32905082880 33740563500 33806592000 34276128000 34378444800 34550337024 35058688000 35989934400 36561203200 36834048000 37863383040 38198272000 38389263360 38560644000 39441024000 39486099456 39988816000 40948547584 41131353600 41254133760 42070425600 42973056000 43187921280 43873443840 44987418000 45075456000 45701504000 45837926400 46067116032 47329228800 47986579200 49112064000 49357624320 51185684480 51414192000 51567667200 52588032000 52648132608 53984901600 54090547200 54841804800 57297408000 57583895040 58934476800 59161536000 59983224000 61422821376 61697030400 63105638400 63982105600 64459584000 65810165760 67481127000 67613184000 68552256000 68756889600 69100674048 70117376000 71979868800 73122406400 73668096000 75726766080 76396544000 76778526720 77121288000 78882048000 78972198912 79977632000 82262707200 82508267520 85946112000 86375842560 87746887680 89974836000 90150912000 91403008000 92134232064 94658457600 95973158400 98224128000 98715248640 102371368960 102828384000 103135334400 105176064000 107969803200 109683609600 114594816000 115167790080 118323072000 119966448000 122845642752 123394060800 126211276800 127964211200 128919168000 131620331520 134962254000 135226368000 137104512000 137513779200 138201348096 143959737600 146244812800 147336192000 153557053440 154242576000 157764096000 157944397824 159955264000 164525414400 171892224000 172751685120 179949672000 182806016000 184268464128 189316915200 191946316800 197430497280 204742737920 205656768000 206270668800 210352128000 215939606400 219367219200 229189632000 230335580160 236646144000 239932896000 246788121600 255928422400 257838336000 263240663040 269924508000 270452736000 274209024000 276402696192 287919475200 294672384000 307114106880 308485152000 315528192000 319910528000 329050828800 343784448000 345503370240 359899344000 365612032000 368536928256 378633830400 383892633600 394860994560 411313536000 412541337600 431879212800 438734438400 460671160320 473292288000 479865792000 493576243200 511856844800 515676672000 539849016000 548418048000 552805392384 575838950400 614228213760 616970304000 631056384000 639821056000 658101657600 687568896000 691006740480 719798688000 731224064000 767785267200 789721989120 822627072000 863758425600 921342320640 946584576000 959731584000 987152486400 1023713689600 1031353344000 1079698032000 1096836096000 1105610784768 1151677900800 1233940608000 1279642112000 1316203315200 1382013480960 1439597376000 1535570534400 1645254144000 1727516851200 1842684641280 1893169152000 1919463168000 1974304972800 2062706688000 2159396064000 2193672192000 2303355801600 2467881216000 2559284224000 2764026961920 2879194752000 3071141068800 3290508288000 3455033702400 3838926336000 3948609945600 4318792128000 4606711603200 4935762432000 5118568448000 5528053923840 5758389504000 6581016576000 6910067404800 7677852672000 8637584256000 9213423206400 9871524864000 11516779008000 13820134809600 15355705344000 17275168512000 19743049728000 23033558016000 27640269619200 34550337024000 46067116032000 69100674048000 138201348096000
- Sum of all divisors σ(n): 600973245250560
- Sum of proper divisors (its aliquot sum) s(n): 462771897154560
- 138201348096000 is an abundant number, because the sum of its proper divisors (462771897154560) is greater than itself. Its abundance is 324570549058560
Bases of 138201348096000
- Binary: 111110110110001100000100100001011000000000000002
- Hexadecimal: 0x7DB18242C000
- Base-36: 1CZKTMEIO0
Squares and roots of 138201348096000
- 138201348096000 squared (1382013480960002) is 19099612615551762825216000000
- 138201348096000 cubed (1382013480960003) is 2639592211580622197314108822388736000000000
-
The
square root of 138201348096000 is 11755906.9448511711 -
The
cube root of 138201348096000 is 51701.6130720463
Scales and comparisons
How big is 138201348096000?- 138,201,348,096,000 seconds is equal to 4,394,375 years, 20 weeks.
-
To count from 1 to 138,201,348,096,000 would take you about ten million, nine hundred eighty-five thousand, nine hundred thirty-eight 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 138201348096000 cubic inches would be around 4308.5 feet tall.
Recreational maths with 138201348096000
- 138201348096000 backwards is 000690843102831
- 138201348096000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138201348096000's digits is 45
- More coming soon!
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Numbermatics. (2024). Number 138201348096000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138201348096000/
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The information we have on file for 138201348096000 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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