138701870208000
138,701,870,208,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138701870208000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 5280 divisors.
138701870208000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand, two hundred eighty divisors.
Prime factorization of 138701870208000:
210 × 34 × 53 × 113 × 19 × 232
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 19 × 23 × 23)See below for interesting mathematical facts about the number 138701870208000 from the Numbermatics database.
Names of 138701870208000
- Cardinal: 138701870208000 can be written as One hundred thirty-eight trillion, seven hundred one billion, eight hundred seventy million, two hundred eight thousand.
Scientific notation
- Scientific notation: 1.38701870208 × 1014
Factors of 138701870208000
Divisors of 138701870208000
- Number of divisors d(n): 5280
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 23 24 25 27 30 32 33 36 38 40 44 45 46 48 50 54 55 57 60 64 66 69 72 75 76 80 81 88 90 92 95 96 99 100 108 110 114 115 120 121 125 128 132 135 138 144 150 152 160 162 165 171 176 180 184 190 192 198 200 207 209 216 220 225 228 230 240 242 250 253 256 264 270 275 276 285 288 297 300 304 320 324 330 342 345 352 360 363 368 375 380 384 396 400 405 414 418 432 437 440 450 456 460 475 480 484 495 500 506 512 513 528 529 540 550 552 570 575 576 594 600 605 608 621 627 640 648 660 675 684 690 704 720 726 736 750 759 760 768 792 800 810 825 828 836 855 864 874 880 891 900 912 920 950 960 968 990 1000 1012 1024 1026 1035 1045 1056 1058 1080 1089 1100 1104 1125 1140 1150 1152 1188 1200 1210 1216 1242 1254 1265 1280 1296 1311 1320 1331 1350 1368 1375 1380 1408 1425 1440 1452 1472 1485 1500 1518 1520 1536 1539 1584 1587 1600 1620 1650 1656 1672 1710 1725 1728 1748 1760 1782 1800 1815 1824 1840 1863 1881 1900 1920 1936 1980 2000 2024 2025 2052 2070 2090 2112 2116 2160 2178 2185 2200 2208 2250 2277 2280 2299 2300 2304 2375 2376 2400 2420 2432 2475 2484 2508 2530 2560 2565 2592 2622 2640 2645 2662 2700 2736 2750 2760 2783 2816 2850 2875 2880 2904 2944 2970 3000 3025 3036 3040 3072 3078 3105 3135 3168 3174 3200 3240 3267 3300 3312 3344 3375 3420 3450 3456 3496 3520 3564 3600 3630 3648 3680 3726 3762 3795 3800 3840 3872 3933 3960 3993 4000 4048 4050 4104 4125 4140 4180 4224 4232 4275 4320 4356 4370 4400 4416 4455 4500 4554 4560 4598 4600 4608 4750 4752 4761 4800 4807 4840 4864 4950 4968 5016 5060 5120 5130 5175 5184 5225 5244 5280 5290 5324 5400 5445 5472 5500 5520 5566 5632 5643 5700 5750 5760 5808 5819 5888 5940 6000 6050 6072 6080 6156 6210 6270 6325 6336 6348 6400 6480 6534 6555 6600 6624 6655 6688 6750 6831 6840 6897 6900 6912 6992 7040 7125 7128 7200 7260 7296 7360 7425 7452 7524 7590 7600 7680 7695 7744 7866 7920 7935 7986 8000 8096 8100 8208 8250 8280 8349 8360 8448 8464 8550 8625 8640 8712 8740 8800 8832 8910 9000 9075 9108 9120 9196 9200 9216 9315 9405 9500 9504 9522 9600 9614 9680 9728 9801 9900 9936 10032 10051 10120 10125 10260 10350 10368 10450 10488 10560 10580 10648 10800 10890 10925 10944 11000 11040 11132 11264 11286 11385 11400 11495 11500 11520 11616 11638 11776 11799 11880 11979 12000 12100 12144 12160 12312 12375 12420 12540 12650 12672 12696 12800 12825 12960 13068 13110 13200 13225 13248 13310 13376 13500 13662 13680 13794 13800 13824 13915 13984 14080 14250 14256 14283 14400 14421 14520 14592 14720 14850 14904 15048 15125 15180 15200 15360 15390 15488 15525 15675 15732 15840 15870 15972 16000 16192 16200 16335 16416 16500 16560 16698 16720 16896 16928 16929 17100 17250 17280 17424 17457 17480 17600 17664 17820 18000 18150 18216 18240 18392 18400 18630 18810 18975 19000 19008 19044 19200 19228 19360 19456 19602 19665 19800 19872 19965 20064 20102 20240 20250 20493 20520 20691 20700 20736 20900 20976 21120 21160 21296 21375 21600 21780 21850 21888 22000 22080 22264 22275 22572 22770 22800 22990 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31841568000 32106914400 32444881920 32774544000 32836617000 33182265600 33502867200 33624695808 33796752000 34247375360 34264296000 34675467552 34736256000 35025724800 35266176000 35821764000 36120278700 36500492160 36548582400 36869184000 37225408000 37690725600 38021346000 38209881600 38528297280 38917472000 39403940400 39674448000 40133643000 40203440640 40556102400 41096850432 41477832000 41878584000 42030869760 42455424000 42809219200 43344334440 43699392000 43782156000 44243020800 44670489600 45062336000 45150348375 45625615200 45685728000 45851857920 46233956736 46700966400 47113407000 47762352000 48160371600 48244128768 48667322880 49254925500 49838976000 50254300800 50437043712 50695128000 51371063040 52104384000 52439270400 52538587200 52899264000 53511524000 54074803200 54180418050 54822873600 55303776000 55838112000 56041159680 57032019000 57314822400 57792445920 58376208000 58400787456 60200464500 60305160960 60331392000 60834153600 60914304000 61645275648 62817876000 63046304640 63479116800 63683136000 64213828800 65549088000 65673234000 66364531200 67005734400 67593504000 68494750720 68528592000 69350935104 70051449600 71643528000 72240557400 73000984320 73738368000 74450816000 75381451200 76042692000 76419763200 77056594560 77834944000 78807880800 79348896000 80267286000 80406881280 81112204800 82955664000 83757168000 84061739520 85618438400 86688668880 87398784000 87564312000 90124672000 90300696750 91251230400 91371456000 92467913472 93401932800 94226814000 95524704000 96320743200 97334645760 98509851000 100508601600 100874087424 101390256000 102742126080 104208768000 105077174400 105798528000 107023048000 108360836100 109645747200 110607552000 111676224000 114064038000 114629644800 115584891840 116752416000 120400929000 120610321920 121668307200 123290551296 125635752000 126092609280 127366272000 128427657600 131098176000 131346468000 132729062400 134011468800 135187008000 135451045125 137057184000 138701870208 140102899200 143287056000 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467009664000 481603716000 486673228800 502543008000 504370437120 513710630400 525385872000 541804180500 548228736000 554807480832 573148224000 577924459200 603051609600 608341536000 616452756480 630463046400 642138288000 663645312000 670057344000 693509351040 700514496000 722405574000 730009843200 753814512000 770565945600 788078808000 811122048000 840617395200 856184384000 866886688800 912512304000 924679134720 963207432000 1005086016000 1027421260800 1050771744000 1083608361000 1109614961664 1146296448000 1155848918400 1206103219200 1216683072000 1260926092800 1284276576000 1387018702080 1401028992000 1444811148000 1460019686400 1507629024000 1541131891200 1576157616000 1712368768000 1733773377600 1825024608000 1849358269440 1926414864000 2010172032000 2101543488000 2167216722000 2311697836800 2433366144000 2521852185600 2568553152000 2774037404160 2889622296000 3015258048000 3082263782400 3152315232000 3467546755200 3650049216000 3852829728000 4203086976000 4334433444000 4623395673600 5137106304000 5548074808320 5779244592000 6030516096000 6304630464000 6935093510400 7300098432000 7705659456000 8668866888000 9246791347200 11558489184000 12609260928000 13870187020800 15411318912000 17337733776000 23116978368000 27740374041600 34675467552000 46233956736000 69350935104000 138701870208000
- Sum of all divisors σ(n): 625639290756480
- Sum of proper divisors (its aliquot sum) s(n): 486937420548480
- 138701870208000 is an abundant number, because the sum of its proper divisors (486937420548480) is greater than itself. Its abundance is 348235550340480
Bases of 138701870208000
- Binary: 111111000100110000010111011010000010100000000002
- Hexadecimal: 0x7E260BB41400
- Base-36: 1D5YRCCG00
Squares and roots of 138701870208000
- 138701870208000 squared (1387018702080002) is 19238208799196877963264000000
- 138701870208000 cubed (1387018702080003) is 2668375539900608901899458720038912000000000
-
The
square root of 138701870208000 is 11777175.8162982349 -
The
cube root of 138701870208000 is 51763.9535706351
Scales and comparisons
How big is 138701870208000?- 138,701,870,208,000 seconds is equal to 4,410,290 years, 22 weeks, 6 days.
-
To count from 1 to 138,701,870,208,000 would take you about eleven million, twenty-five thousand, seven hundred twenty-six 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 138701870208000 cubic inches would be around 4313.7 feet tall.
Recreational maths with 138701870208000
- 138701870208000 backwards is 000802078107831
- 138701870208000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138701870208000's digits is 45
- More coming soon!
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"Number 138701870208000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 138701870208000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138701870208000/
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The information we have on file for 138701870208000 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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