138161377728000
138,161,377,728,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138161377728000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3200 divisors.
138161377728000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, two hundred divisors.
Prime factorization of 138161377728000:
29 × 33 × 53 × 114 × 43 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 43 × 127)See below for interesting mathematical facts about the number 138161377728000 from the Numbermatics database.
Names of 138161377728000
- Cardinal: 138161377728000 can be written as One hundred thirty-eight trillion, one hundred sixty-one billion, three hundred seventy-seven million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38161377728 × 1014
Factors of 138161377728000
Divisors of 138161377728000
- Number of divisors d(n): 3200
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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 43 44 45 48 50 54 55 60 64 66 72 75 80 86 88 90 96 99 100 108 110 120 121 125 127 128 129 132 135 144 150 160 165 172 176 180 192 198 200 215 216 220 225 240 242 250 254 256 258 264 270 275 288 297 300 320 330 344 352 360 363 375 381 384 387 396 400 430 432 440 450 473 480 484 495 500 508 512 516 528 540 550 576 594 600 605 635 640 645 660 675 688 704 720 726 750 762 768 774 792 800 825 860 864 880 900 946 960 968 990 1000 1016 1032 1056 1075 1080 1089 1100 1125 1143 1152 1161 1188 1200 1210 1270 1280 1290 1320 1331 1350 1375 1376 1397 1408 1419 1440 1452 1485 1500 1524 1536 1548 1584 1600 1650 1720 1728 1760 1800 1815 1892 1905 1920 1935 1936 1980 2000 2032 2064 2112 2150 2160 2178 2200 2250 2286 2304 2322 2365 2376 2400 2420 2475 2540 2560 2580 2640 2662 2700 2750 2752 2794 2816 2838 2880 2904 2970 3000 3025 3048 3096 3168 3175 3200 3225 3267 3300 3375 3429 3440 3456 3520 3600 3630 3784 3810 3840 3870 3872 3960 3993 4000 4064 4125 4128 4191 4224 4257 4300 4320 4356 4400 4500 4572 4608 4644 4730 4752 4800 4840 4950 5080 5160 5203 5280 5324 5375 5400 5445 5461 5500 5504 5588 5632 5676 5715 5760 5805 5808 5940 6000 6050 6096 6192 6336 6350 6400 6450 6534 6600 6655 6750 6858 6880 6912 6985 7040 7095 7200 7260 7425 7568 7620 7680 7740 7744 7920 7986 8000 8128 8250 8256 8382 8448 8514 8600 8640 8712 8800 9000 9075 9144 9288 9460 9504 9525 9600 9675 9680 9900 10160 10320 10406 10560 10648 10750 10800 10890 10922 11000 11008 11176 11352 11430 11520 11610 11616 11825 11880 11979 12000 12100 12192 12375 12384 12573 12672 12700 12771 12800 12900 13068 13200 13310 13500 13716 13760 13824 13970 14080 14190 14400 14520 14641 14850 15125 15136 15240 15367 15480 15488 15609 15840 15875 15972 16000 16125 16256 16335 16383 16500 16512 16764 16896 17028 17145 17200 17280 17424 17600 18000 18150 18288 18576 18920 19008 19050 19200 19350 19360 19800 19965 20320 20640 20812 20955 21120 21285 21296 21500 21600 21780 21844 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239863503000 251202504960 255854403200 261669276000 267754608000 269846440875 271971216000 276322755456 279113894400 285457392000 287836203600 292095936000 307025283840 314003131200 319818004000 321305529600 345403444320 348892368000 357006144000 359795254500 362628288000 368430340608 380609856000 383781604800 392503914000 401631912000 418670841600 431754305400 460537925760 465189824000 479727006000 502405009920 511708806400 523338552000 535509216000 539692881750 543942432000 552645510912 570914784000 575672407200 614050567680 628006262400 639636008000 642611059200 690806888640 697784736000 719590509000 767563209600 785007828000 803263824000 837341683200 863508610800 921075851520 959454012000 1023417612800 1046677104000 1071018432000 1079385763500 1087884864000 1105291021824 1141829568000 1151344814400 1256012524800 1279272016000 1381613777280 1395569472000 1439181018000 1535126419200 1570015656000 1606527648000 1727017221600 1842151703040 1918908024000 2093354208000 2158771527000 2302689628800 2512025049600 2558544032000 2763227554560 2878362036000 3070252838400 3140031312000 3213055296000 3454034443200 3837816048000 4186708416000 4317543054000 4605379257600 5117088064000 5526455109120 5756724072000 6280062624000 6908068886400 7675632096000 8635086108000 9210758515200 11513448144000 12560125248000 13816137772800 15351264192000 17270172216000 23026896288000 27632275545600 34540344432000 46053792576000 69080688864000 138161377728000
- Sum of all divisors σ(n): 579006712627200
- Sum of proper divisors (its aliquot sum) s(n): 440845334899200
- 138161377728000 is an abundant number, because the sum of its proper divisors (440845334899200) is greater than itself. Its abundance is 302683957171200
Bases of 138161377728000
- Binary: 111110110101000001100111101011101010110000000002
- Hexadecimal: 0x7DA833D75600
- Base-36: 1CZ2GL2TC0
Squares and roots of 138161377728000
- 138161377728000 squared (1381613777280002) is 19088566295699094441984000000
- 138161377728000 cubed (1381613777280003) is 2637302618266052329026496805732352000000000
-
The
square root of 138161377728000 is 11754206.8098191975 -
The
cube root of 138161377728000 is 51696.6282394389
Scales and comparisons
How big is 138161377728000?- 138,161,377,728,000 seconds is equal to 4,393,104 years, 23 weeks, 3 days.
-
To count from 1 to 138,161,377,728,000 would take you about ten million, nine hundred eighty-two thousand, seven hundred sixty-one 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 138161377728000 cubic inches would be around 4308.1 feet tall.
Recreational maths with 138161377728000
- 138161377728000 backwards is 000827773161831
- 138161377728000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138161377728000's digits is 54
- More coming soon!
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"Number 138161377728000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 138161377728000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138161377728000/
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The information we have on file for 138161377728000 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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