138108686690964000
138,108,686,690,964,000 is an even composite number composed of six prime numbers multiplied together.
138108686690964000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138108686690964000:
25 × 3 × 53 × 113 × 533 × 2412
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 53 × 53 × 53 × 241 × 241)See below for interesting mathematical facts about the number 138108686690964000 from the Numbermatics database.
Names of 138108686690964000
- Cardinal: 138108686690964000 can be written as One hundred thirty-eight quadrillion, one hundred eight trillion, six hundred eighty-six billion, six hundred ninety million, nine hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.38108686690964 × 1017
Factors of 138108686690964000
Divisors of 138108686690964000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 53 55 60 66 75 80 88 96 100 106 110 120 121 125 132 150 159 160 165 176 200 212 220 240 241 242 250 264 265 275 300 318 330 352 363 375 400 424 440 480 482 484 500 528 530 550 583 600 605 636 660 723 726 750 795 800 825 848 880 964 968 1000 1056 1060 1100 1166 1200 1205 1210 1272 1320 1325 1331 1375 1446 1452 1500 1590 1650 1696 1749 1760 1815 1928 1936 2000 2120 2200 2332 2400 2410 2420 2544 2640 2650 2651 2662 2750 2809 2892 2904 2915 3000 3025 3180 3300 3498 3615 3630 3856 3872 3975 3993 4000 4125 4240 4400 4664 4820 4840 5088 5280 5300 5302 5324 5500 5618 5784 5808 5830 6000 6025 6050 6360 6413 6600 6625 6655 6996 7230 7260 7712 7950 7953 7986 8250 8427 8480 8745 8800 9075 9328 9640 9680 10600 10604 10648 11000 11236 11568 11616 11660 12000 12050 12100 12720 12773 12826 13200 13250 13255 13310 13992 14045 14460 14520 14575 15125 15900 15906 15972 16500 16854 17490 18075 18150 18656 19239 19280 19360 19875 19965 21200 21208 21296 22000 22472 23136 23320 24100 24200 25440 25546 25652 26400 26500 26510 26620 27984 28090 28920 29040 29150 29161 30125 30250 30899 31800 31812 31944 32065 33000 33275 33708 34980 36150 36300 38319 38478 38560 39750 39765 39930 42135 42400 42416 42592 43725 44000 44944 45375 46640 48200 48400 51092 51304 53000 53020 53240 55968 56180 57840 58080 58081 58300 58322 60250 60500 61798 63600 63624 63865 63888 64130 66000 66275 66550 67416 69960 70225 70543 72300 72600 72875 76638 76956 79500 79530 79860 84270 84832 87450 87483 89888 90375 90750 92697 93280 96195 96400 96800 99825 102184 102608 106000 106040 106480 112360 115680 116162 116600 116644 120500 121000 123596 127200 127248 127730 127776 128260 132000 132550 133100 134832 139920 140450 140503 141086 144600 145200 145750 145805 148877 153276 153912 154495 159000 159060 159720 160325 166375 168540 174243 174900 174966 180750 181500 185394 191595 192390 192800 198825 199650 204368 205216 210675 211629 212000 212080 212960 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8194415966000 8370223435816 8646925037000 8682804394000 8686080923960 9131152839072 9475724644320 9511617540700 9551084833400 9833299159200 9870546504500 10376310044400 10419365272800 10423297108752 10462779294770 10767868914000 10812548868000 10857601154950 11413941048840 11461301800080 11509057224247 11844655805400 11889521925875 11938856041750 12291623949000 12555335153724 12970387555500 13024206591000 13029121385940 14267426311050 14326627250100 14805819756750 15218588065120 15694168942155 15792874407200 16286401732425 16388831932000 16740446871632 17293850074000 17365608788000 17372161847920 17908284062625 19023235081400 19102169666800 19741093009000 20752620088800 20846594217504 20925558589540 21535737828000 21715202309900 22827882097680 22922603600160 23018114448494 23689311610800 23779043851750 23877712083500 24583247898000 25110670307448 25940775111000 26048413182000 26058242771880 26156948236925 27144002887375 28534852622100 28653254500200 29611639513500 31388337884310 32572803464850 33480893743264 34527171672741 34587700148000 34744323695840 35668565777625 35816568125250 38046470162800 38204339333600 39482186018000 41851117179080 43430404619800 45655764195360 46036228896988 47378623221600 47558087703500 47755424167000 49166495796000 50221340614896 51881550222000 52096826364000 52116485543760 52313896473850 54288005774750 57069705244200 57306509000400 57545286121235 59223279027000 62776675768620 65145606929700 69054343345482 71337131555250 71633136250500 76092940325600 78470844710775 78964372036000 81432008662125 83702234358160 86860809239600 92072457793976 95116175407000 95510848334000 100442681229792 103763100444000 104232971087520 104627792947700 108576011549500 114139410488400 114613018000800 115090572242470 118446558054000 125553351537240 130291213859400 130784741184625 138108686690964 142674263110500 143266272501000 156941689421550 162864017324250 167404468716320 172635858363705 173721618479200 184144915587952 190232350814000 191021696668000 209255585895400 217152023099000 228278820976800 230181144484940 236893116108000 251106703074480 260582427718800 261569482369250 276217373381928 285348526221000 286532545002000 287726430606175 313883378843100 325728034648500 345271716727410 368289831175904 380464701628000 392354223553875 418511171790800 434304046198000 460362288969880 502213406148960 521164855437600 523138964738500 552434746763856 570697052442000 573065090004000 575452861212350 627766757686200 651456069297000 690543433454820 784708447107750 837022343581600 863179291818525 868608092396000 920724577939760 1046277929477000 1104869493527712 1141394104884000 1150905722424700 1255533515372400 1302912138594000 1381086866909640 1438632153030875 1569416894215500 1726358583637050 1841449155879520 2092555858954000 2301811444849400 2511067030744800 2605824277188000 2762173733819280 2877264306061750 3138833788431000 3452717167274100 4185111717908000 4315896459092625 4603622889698800 5524347467638560 5754528612123500 6277667576862000 6905434334548200 8631792918185250 9207245779397600 11509057224247000 12555335153724000 13810868669096400 17263585836370500 23018114448494000 27621737338192800 34527171672741000 46036228896988000 69054343345482000 138108686690964000
- Sum of all divisors σ(n): 509338084362831360
- Sum of proper divisors (its aliquot sum) s(n): 371229397671867360
- 138108686690964000 is an abundant number, because the sum of its proper divisors (371229397671867360) is greater than itself. Its abundance is 233120710980903360
Bases of 138108686690964000
- Binary: 1111010101010100100011110011010101001110001010010001000002
- Hexadecimal: 0x1EAA91E6A9C5220
- Base-36: 11RVFYS36HPC
Squares and roots of 138108686690964000
- 138108686690964000 squared (1381086866909640002) is 19074009339502856704039249296000000
- 138108686690964000 cubed (1381086866909640003) is 2634286379809921221901403492346760906561344000000000
-
The
square root of 138108686690964000 is 371629770.9965712637 -
The
cube root of 138108686690964000 is 516900.5550217649
Scales and comparisons
How big is 138108686690964000?- 138,108,686,690,964,000 seconds is equal to 4,391,429,038 years, 28 weeks, 6 days, 7 hours, 20 minutes.
-
To count from 1 to 138,108,686,690,964,000 would take you about thirteen billion, one hundred seventy-four million, two hundred eighty-seven thousand, one hundred fifteen 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 138108686690964000 cubic inches would be around 43075 feet tall.
Recreational maths with 138108686690964000
- 138108686690964000 backwards is 000469096686801831
- 138108686690964000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138108686690964000's digits is 75
- More coming soon!
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Cite this page
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"Number 138108686690964000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 138108686690964000 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/138108686690964000/
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The information we have on file for 138108686690964000 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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