138367848645000
138,367,848,645,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138367848645000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2400 divisors.
138367848645000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 138367848645000:
23 × 39 × 54 × 13 × 372 × 79
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 13 × 37 × 37 × 79)See below for interesting mathematical facts about the number 138367848645000 from the Numbermatics database.
Names of 138367848645000
- Cardinal: 138367848645000 can be written as One hundred thirty-eight trillion, three hundred sixty-seven billion, eight hundred forty-eight million, six hundred forty-five thousand.
Scientific notation
- Scientific notation: 1.38367848645 × 1014
Factors of 138367848645000
Divisors of 138367848645000
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 27 30 36 37 39 40 45 50 52 54 60 65 72 74 75 78 79 81 90 100 104 108 111 117 120 125 130 135 148 150 156 158 162 180 185 195 200 216 222 225 234 237 243 250 260 270 296 300 312 316 324 325 333 351 360 370 375 390 395 405 444 450 468 474 481 486 500 520 540 555 585 600 625 632 648 650 666 675 702 711 729 740 750 780 790 810 888 900 925 936 948 962 972 975 999 1000 1027 1053 1080 1110 1125 1170 1185 1215 1250 1300 1332 1350 1369 1404 1422 1443 1458 1480 1500 1560 1580 1620 1625 1665 1755 1800 1850 1875 1896 1924 1944 1950 1975 1998 2025 2054 2106 2133 2187 2220 2250 2340 2370 2405 2430 2500 2600 2664 2700 2738 2775 2808 2844 2886 2916 2923 2925 2997 3000 3081 3159 3160 3240 3250 3330 3375 3510 3555 3645 3700 3750 3848 3900 3950 3996 4050 4107 4108 4212 4266 4329 4374 4440 4500 4625 4680 4740 4810 4860 4875 4995 5000 5135 5265 5400 5476 5550 5625 5688 5772 5832 5846 5850 5925 5994 6075 6162 6318 6399 6500 6561 6660 6750 6845 7020 7110 7215 7290 7400 7500 7800 7900 7992 8100 8125 8214 8216 8325 8424 8532 8658 8748 8769 8775 8991 9000 9243 9250 9477 9480 9620 9720 9750 9875 9990 10125 10270 10530 10665 10935 10952 11100 11250 11544 11692 11700 11850 11988 12025 12150 12321 12324 12636 12798 12987 13000 13122 13320 13500 13690 13875 14040 14220 14430 14580 14615 14625 14985 15000 15405 15795 15800 16200 16250 16428 16650 16875 17064 17316 17496 17538 17550 17775 17797 17982 18225 18486 18500 18954 19197 19240 19500 19683 19750 19980 20250 20535 20540 21060 21330 21645 21870 22200 22500 23125 23384 23400 23700 23976 24050 24300 24375 24642 24648 24975 25272 25596 25675 25974 26244 26307 26325 26973 27000 27380 27729 27750 28431 28440 28860 29160 29230 29250 29625 29970 30375 30810 31590 31995 32500 32805 32856 33300 33750 34225 34632 35076 35100 35550 35594 35964 36075 36450 36963 36972 37000 37908 37999 38394 38961 39000 39366 39500 39960 40500 41070 41080 41625 42120 42660 43290 43740 43845 43875 44955 45000 46215 46250 47385 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118263118500 122993643240 124655719500 128118378375 131403465000 134730135000 138367848645 138506355000 141915742200 142353753750 143833522500 145957646250 147828898125 149586863400 153742054050 155819649375 170824504500 175149175500 177394677750 184490464860 186983579250 189805005000 194610195000 197105197500 204989405400 207759532500 212873613300 213530630625 218936469375 221388557832 230613081075 236526237000 249311439000 256236756750 266092016625 276735697290 284707507500 287667045000 291915292500 295657796250 307484108100 311639298750 341649009000 350298351000 354789355500 368980929720 373967158500 384355135125 394210395000 415519065000 425747226600 427061261250 437872938750 443486694375 461226162150 467458948125 512473513500 532184033250 553471394580 569415015000 583830585000 591315592500 614968216200 623278597500 640591891875 691839243225 709578711000 747934317000 768710270250 854122522500 875745877500 886973388750 922452324300 934917896250 1024947027000 1064368066500 1106942789160 1153065405375 1182631185000 1246557195000 1281183783750 1330460083125 1383678486450 1537420540500 1708245045000 1751491755000 1773946777500 1844904648600 1869835792500 1921775675625 2128736133000 2306130810750 2562367567500 2660920166250 2767356972900 3074841081000 3459196216125 3547893555000 3739671585000 3843551351250 4612261621500 5124735135000 5321840332500 5534713945800 5765327026875 6918392432250 7687102702500 9224523243000 10643680665000 11530654053750 13836784864500 15374205405000 17295981080625 23061308107500 27673569729000 34591962161250 46122616215000 69183924322500 138367848645000
- Sum of all divisors σ(n): 545041548374400
- Sum of proper divisors (its aliquot sum) s(n): 406673699729400
- 138367848645000 is an abundant number, because the sum of its proper divisors (406673699729400) is greater than itself. Its abundance is 268305851084400
Bases of 138367848645000
- Binary: 111110111011000010001100111011110000001100010002
- Hexadecimal: 0x7DD846778188
- Base-36: 1D1PB8J4I0
Squares and roots of 138367848645000
- 138367848645000 squared (1383678486450002) is 19145661538645628336025000000
- 138367848645000 cubed (1383678486450003) is 2649143997987716119890030400936125000000000
-
The
square root of 138367848645000 is 11762986.3829301441 -
The
cube root of 138367848645000 is 51722.3675542351
Scales and comparisons
How big is 138367848645000?- 138,367,848,645,000 seconds is equal to 4,399,669 years, 30 weeks, 3 days, 16 hours, 30 minutes.
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To count from 1 to 138,367,848,645,000 would take you about ten million, nine hundred ninety-nine thousand, one hundred seventy-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 138367848645000 cubic inches would be around 4310.2 feet tall.
Recreational maths with 138367848645000
- 138367848645000 backwards is 000546848763831
- The number of decimal digits it has is: 15
- The sum of 138367848645000's digits is 63
- More coming soon!
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The information we have on file for 138367848645000 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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