138675469046400000
138,675,469,046,400,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138675469046400000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 9504 divisors.
138675469046400000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine thousand, five hundred four divisors.
Prime factorization of 138675469046400000:
210 × 33 × 55 × 11 × 132 × 892 × 109
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 11 × 13 × 13 × 89 × 89 × 109)See below for interesting mathematical facts about the number 138675469046400000 from the Numbermatics database.
Names of 138675469046400000
- Cardinal: 138675469046400000 can be written as One hundred thirty-eight quadrillion, six hundred seventy-five trillion, four hundred sixty-nine billion, forty-six million, four hundred thousand.
Scientific notation
- Scientific notation: 1.386754690464 × 1017
Factors of 138675469046400000
Divisors of 138675469046400000
- Number of divisors d(n): 9504
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 27 30 32 33 36 39 40 44 45 48 50 52 54 55 60 64 65 66 72 75 78 80 88 89 90 96 99 100 104 108 109 110 117 120 125 128 130 132 135 143 144 150 156 160 165 169 176 178 180 192 195 198 200 208 216 218 220 225 234 240 250 256 260 264 267 270 275 286 288 297 300 312 320 325 327 330 338 351 352 356 360 375 384 390 396 400 416 429 432 436 440 445 450 468 480 495 500 507 512 520 528 534 540 545 550 572 576 585 594 600 624 625 640 650 654 660 675 676 702 704 712 715 720 750 768 780 792 800 801 825 832 845 858 864 872 880 890 900 936 960 975 979 981 990 1000 1014 1024 1040 1056 1068 1080 1090 1100 1125 1144 1152 1157 1170 1188 1199 1200 1248 1250 1280 1287 1300 1308 1320 1335 1350 1352 1375 1404 1408 1417 1424 1430 1440 1485 1500 1521 1536 1560 1584 1600 1602 1625 1635 1650 1664 1690 1716 1728 1744 1755 1760 1780 1800 1859 1872 1875 1920 1950 1958 1962 1980 2000 2028 2080 2112 2136 2145 2160 2180 2200 2225 2250 2288 2304 2314 2340 2376 2398 2400 2403 2475 2496 2500 2535 2560 2574 2600 2616 2640 2670 2700 2704 2725 2750 2808 2816 2834 2848 2860 2880 2925 2937 2943 2970 3000 3042 3072 3120 3125 3168 3200 3204 3250 3270 3300 3328 3375 3380 3432 3456 3471 3488 3510 3520 3560 3575 3597 3600 3718 3744 3750 3840 3861 3900 3916 3924 3960 4000 4005 4056 4125 4160 4224 4225 4251 4272 4290 4320 4360 4400 4450 4500 4563 4576 4608 4628 4680 4752 4796 4800 4806 4875 4895 4905 4950 4992 5000 5070 5120 5148 5200 5232 5280 5340 5400 5408 5450 5500 5577 5616 5625 5632 5668 5696 5720 5760 5785 5850 5874 5886 5940 5995 6000 6084 6240 6250 6336 6400 6408 6435 6500 6540 6600 6656 6675 6750 6760 6864 6875 6912 6942 6976 7020 7040 7085 7120 7150 7194 7200 7425 7436 7488 7500 7605 7680 7722 7800 7832 7848 7920 7921 8000 8010 8112 8125 8175 8250 8320 8448 8450 8502 8544 8580 8640 8720 8775 8800 8811 8900 9000 9126 9152 9216 9256 9295 9360 9375 9504 9592 9600 9612 9701 9750 9790 9810 9900 9984 10000 10140 10296 10400 10413 10464 10560 10680 10725 10791 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1284032120800000 1333417971600000 1386754690464000 1400762313600000 1444536135900000 1540838544960000 1558151337600000 1575857602800000 1733443363080000 1777890628800000 1849006253952000 1926048181200000 2101143470400000 2133468754560000 2166804203850000 2311257817440000 2521372164480000 2568064241600000 2666835943200000 2773509380928000 2889072271800000 3081677089920000 3151715205600000 3466886726160000 3555781257600000 3852096362400000 4202286940800000 4333608407700000 4622515634880000 5136128483200000 5333671886400000 5547018761856000 5778144543600000 6303430411200000 6933773452320000 7704192724800000 8667216815400000 9245031269760000 10667343772800000 11556289087200000 12606860822400000 13867546904640000 15408385449600000 17334433630800000 23112578174400000 27735093809280000 34668867261600000 46225156348800000 69337734523200000 138675469046400000
- Sum of all divisors σ(n): 618901913761084800
- Sum of proper divisors (its aliquot sum) s(n): 480226444714684800
- 138675469046400000 is an abundant number, because the sum of its proper divisors (480226444714684800) is greater than itself. Its abundance is 341550975668284800
Bases of 138675469046400000
- Binary: 1111011001010110010011010101101111001001001000100000000002
- Hexadecimal: 0x1ECAC9AB7924400
- Base-36: 11XGCMZZPXC0
Squares and roots of 138675469046400000
- 138675469046400000 squared (1386754690464000002) is 19230885715239044525352960000000000
- 138675469046400000 cubed (1386754690464000003) is 2666852096738488043852295784514617344000000000000000
-
The
square root of 138675469046400000 is 372391553.4036721409 -
The
cube root of 138675469046400000 is 517606.6903135543
Scales and comparisons
How big is 138675469046400000?- 138,675,469,046,400,000 seconds is equal to 4,409,450,964 years, 14 weeks, 6 days.
-
To count from 1 to 138,675,469,046,400,000 would take you about thirteen billion, two hundred twenty-eight million, three hundred fifty-two thousand, eight hundred ninety-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 138675469046400000 cubic inches would be around 43133.9 feet tall.
Recreational maths with 138675469046400000
- 138675469046400000 backwards is 000004640964576831
- The number of decimal digits it has is: 18
- The sum of 138675469046400000's digits is 63
- More coming soon!
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"Number 138675469046400000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 138675469046400000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138675469046400000/
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The information we have on file for 138675469046400000 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!
Keywords: Divisors of 138675469046400000, math, Factors of 138675469046400000, curriculum, school, college, exams, university, Prime factorization of 138675469046400000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, six hundred seventy-five trillion, four hundred sixty-nine billion, forty-six million, four hundred thousand.