138583076148000
138,583,076,148,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138583076148000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3072 divisors.
138583076148000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 138583076148000:
25 × 33 × 53 × 11 × 41 × 43 × 127 × 521
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 41 × 43 × 127 × 521)See below for interesting mathematical facts about the number 138583076148000 from the Numbermatics database.
Names of 138583076148000
- Cardinal: 138583076148000 can be written as One hundred thirty-eight trillion, five hundred eighty-three billion, seventy-six million, one hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.38583076148 × 1014
Factors of 138583076148000
Divisors of 138583076148000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 41 43 44 45 48 50 54 55 60 66 72 75 80 82 86 88 90 96 99 100 108 110 120 123 125 127 129 132 135 144 150 160 164 165 172 176 180 198 200 205 215 216 220 225 240 246 250 254 258 264 270 275 288 297 300 328 330 344 352 360 369 375 381 387 396 400 410 430 432 440 450 451 473 480 492 495 500 508 516 521 528 540 550 594 600 615 635 645 656 660 675 688 720 738 750 762 774 792 800 820 825 860 864 880 900 902 946 984 990 1000 1016 1025 1032 1042 1056 1075 1080 1100 1107 1125 1143 1161 1188 1200 1230 1270 1290 1312 1320 1350 1353 1375 1376 1397 1419 1440 1476 1485 1500 1524 1548 1563 1584 1640 1650 1720 1760 1763 1800 1804 1845 1892 1905 1935 1968 1980 2000 2032 2050 2064 2084 2150 2160 2200 2214 2250 2255 2286 2322 2365 2376 2400 2460 2475 2540 2580 2605 2640 2700 2706 2750 2794 2838 2952 2970 3000 3048 3075 3096 3126 3168 3175 3225 3280 3300 3375 3429 3440 3526 3600 3608 3690 3784 3810 3870 3936 3960 4000 4059 4064 4100 4125 4128 4168 4191 4257 4300 4320 4400 4428 4500 4510 4572 4644 4689 4730 4752 4920 4950 5080 5125 5160 5207 5210 5280 5289 5375 5400 5412 5461 5500 5535 5588 5676 5715 5731 5805 5904 5940 6000 6096 6150 6192 6252 6350 6450 6560 6600 6750 6765 6858 6880 6985 7052 7095 7200 7216 7380 7425 7568 7620 7740 7815 7920 8118 8200 8250 8336 8382 8514 8600 8800 8815 8856 9000 9020 9144 9225 9288 9378 9460 9504 9525 9675 9840 9900 10160 10250 10320 10414 10420 10578 10750 10800 10824 10922 11000 11070 11176 11275 11352 11430 11462 11610 11808 11825 11880 12000 12177 12192 12300 12375 12384 12504 12573 12700 12771 12900 13025 13200 13500 13530 13716 13970 14067 14104 14190 14432 14760 14850 15136 15240 15375 15480 15621 15630 15840 15867 15875 16125 16236 16383 16400 16500 16672 16764 17028 17145 17193 17200 17630 17712 18000 18040 18288 18450 18576 18756 18920 19050 19350 19393 19680 19800 20295 20320 20500 20640 20828 20840 20955 21156 21285 21361 21500 21600 21648 21844 22000 22140 22352 22403 22550 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5319887760 5322952800 5371437060 5425694000 5456026620 5511138000 5541549750 5599316208 5633458380 5690362000 5832621050 5859749520 5910986400 5968263400 6045327000 6062251800 6103905750 6145590960 6185916000 6200030250 6259398200 6299230734 6344217000 6401657250 6415883155 6445724472 6487668000 6510832800 6550533000 6613365600 6649859700 6653691000 6714296325 6760150056 6820033275 6828434400 6999145260 7041822975 7146036000 7161916080 7274702160 7324686900 7388733000 7460329250 7511277840 7577814750 7681988700 7699059786 7824247750 7860639600 8057155590 8060436000 8083002400 8138541000 8266707000 8312324625 8398974312 8450187570 8458956000 8535543000 8594299296 8729642592 8734044000 8748931575 8866479600 8871588000 8952395100 9013533408 9093377700 9155858625 9332193680 9389097300 9602485875 9766249200 9825799500 9851644000 9920048400 10103753000 10242651600 10265413048 10498717890 10639775520 10742874120 10851388000 10912053240 11022276000 11083099500 11190493875 11198632416 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70418229750 71619160800 72747021600 73246869000 75112778400 76819887000 76990597860 78606396000 78740384175 80571555900 83989743120 84501875700 87489315750 88664796000 89523951000 90933777000 92388717432 93321936800 93890973000 96238247325 97662492000 99200484000 100714444875 100787691744 102426516000 102654130480 104987178900 105627344625 107428741200 109120532400 112669167600 115485896790 116652421000 119365268000 121245036000 123184956576 125187964000 125984614680 128317663100 128914489440 131233973625 132997194000 134285926500 135203001120 136400665500 138583076148 139982905200 140836459500 146493738000 153639774000 153981195720 157480768350 160397078875 161143111800 167979486240 169003751400 173228845185 174978631500 179047902000 181867554000 184777434864 187781946000 192476494650 201428889750 205308260960 209974357800 211254689250 214857482400 218241064800 225338335200 230971793580 233304842000 251969229360 256635326200 262467947250 265994388000 268571853000 272801331000 277166152296 279965810400 281672919000 288714741975 292987476000 307279548000 307962391440 314961536700 320794157750 322286223600 338007502800 346457690370 349957263000 358095804000 363735108000 369554869728 375563892000 384952989300 393701920875 402857779500 419948715600 422509378500 461943587160 466609684000 481191236625 503938458720 513270652400 524935894500 537143706000 545602662000 554332304592 563345838000 577429483950 615924782880 629923073400 641588315500 644572447200 676015005600 692915380740 699914526000 769905978600 787403841750 805715559000 839897431200 845018757000 866144225925 923887174320 962382473250 1026541304800 1049871789000 1074287412000 1091205324000 1108664609184 1126691676000 1154858967900 1259846146800 1283176631000 1385830761480 1399829052000 1443573709875 1539811957200 1574807683500 1611431118000 1690037514000 1732288451850 1847774348640 1924764946500 2099743578000 2309717935800 2519692293600 2566353262000 2771661522960 2887147419750 3079623914400 3149615367000 3222862236000 3380075028000 3464576903700 3849529893000 4199487156000 4330721129625 4619435871600 5132706524000 5543323045920 5774294839500 6299230734000 6929153807400 7699059786000 8661442259250 9238871743200 11548589679000 12598461468000 13858307614800 15398119572000 17322884518500 23097179358000 27716615229600 34645769037000 46194358716000 69291538074000 138583076148000
- Sum of all divisors σ(n): 582490470481920
- Sum of proper divisors (its aliquot sum) s(n): 443907394333920
- 138583076148000 is an abundant number, because the sum of its proper divisors (443907394333920) is greater than itself. Its abundance is 305324318185920
Bases of 138583076148000
- Binary: 111111000001010011000110000011010010011001000002
- Hexadecimal: 0x7E0A63069320
- Base-36: 1D4G6PFGO0
Squares and roots of 138583076148000
- 138583076148000 squared (1385830761480002) is 19205268994642366517904000000
- 138583076148000 cubed (1385830761480003) is 2661525255527346483177615637353792000000000
-
The
square root of 138583076148000 is 11772131.3341297717 -
The
cube root of 138583076148000 is 51749.1712499081
Scales and comparisons
How big is 138583076148000?- 138,583,076,148,000 seconds is equal to 4,406,513 years, 8 weeks, 18 hours.
-
To count from 1 to 138,583,076,148,000 would take you about eleven million, sixteen thousand, two hundred eighty-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 138583076148000 cubic inches would be around 4312.4 feet tall.
Recreational maths with 138583076148000
- 138583076148000 backwards is 000841670385831
- 138583076148000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138583076148000's digits is 54
- More coming soon!
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"Number 138583076148000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 138583076148000 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/138583076148000/
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The information we have on file for 138583076148000 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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