122138814627649600000
122,138,814,627,649,600,000 is an even composite number composed of six prime numbers multiplied together.
122138814627649600000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, eight hundred sixty divisors.
Prime factorization of 122138814627649600000:
29 × 55 × 112 × 292 × 612 × 4492
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 29 × 29 × 61 × 61 × 449 × 449)See below for interesting mathematical facts about the number 122138814627649600000 from the Numbermatics database.
Names of 122138814627649600000
- Cardinal: 122138814627649600000 can be written as One hundred twenty-two quintillion, one hundred thirty-eight quadrillion, eight hundred fourteen trillion, six hundred twenty-seven billion, six hundred forty-nine million, six hundred thousand.
Scientific notation
- Scientific notation: 1.221388146276496 × 1020
Factors of 122138814627649600000
Divisors of 122138814627649600000
- Number of divisors d(n): 4860
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 29 32 40 44 50 55 58 61 64 80 88 100 110 116 121 122 125 128 145 160 176 200 220 232 242 244 250 256 275 290 305 319 320 352 400 440 449 464 484 488 500 512 550 580 605 610 625 638 640 671 704 725 800 841 880 898 928 968 976 1000 1100 1160 1210 1220 1250 1276 1280 1342 1375 1408 1450 1525 1595 1600 1682 1760 1769 1796 1856 1936 1952 2000 2200 2245 2320 2420 2440 2500 2552 2560 2684 2750 2816 2900 3025 3050 3125 3190 3200 3355 3364 3509 3520 3538 3592 3625 3712 3721 3872 3904 4000 4205 4400 4490 4640 4840 4880 4939 5000 5104 5368 5500 5632 5800 6050 6100 6250 6380 6400 6710 6728 6875 7018 7040 7076 7184 7250 7381 7424 7442 7625 7744 7808 7975 8000 8410 8800 8845 8980 9251 9280 9680 9760 9878 10000 10208 10736 11000 11225 11600 12100 12200 12500 12760 12800 13021 13420 13456 13750 14036 14080 14152 14368 14500 14762 14848 14884 15125 15250 15488 15616 15950 16000 16775 16820 17545 17600 17690 17960 18125 18502 18560 18605 19360 19459 19520 19756 20000 20416 21025 21472 22000 22450 23200 24200 24400 24695 25000 25520 26042 26840 26912 27389 27500 28072 28160 28304 28736 29000 29524 29768 30250 30500 30976 31232 31900 32000 33550 33640 34375 35090 35200 35380 35920 36250 36905 37004 37120 37210 38125 38720 38918 39040 39512 39875 40000 40832 40931 42050 42944 44000 44225 44900 46255 46400 48400 48800 49390 50000 51040 51301 52084 53680 53824 54329 54778 55000 56125 56144 56608 57472 58000 59048 59536 60500 61000 61952 63800 64000 65105 67100 67280 68750 70180 70400 70760 71840 72500 73810 74008 74240 74420 75625 76250 77440 77836 78080 79024 79750 80000 81664 81862 83875 84100 85888 87725 88000 88450 89800 90625 92510 92800 93025 96800 97295 97600 98780 100000 101761 102080 102602 104168 105125 107360 107648 107909 108658 109556 110000 112250 112288 113216 114944 116000 118096 119072 121000 122000 123475 127600 130210 134200 134560 136945 137500 140360 140800 141520 143231 143680 145000 147620 148016 148840 151250 152500 154880 155672 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2775882150628400000 3053470365691240000 3816837957114050000 4211683263022400000 4885552585105984000 5551764301256800000 6106940731382480000 7633675914228100000 11103528602513600000 12213881462764960000 15267351828456200000 24427762925529920000 30534703656912400000 61069407313824800000 122138814627649600000
- Sum of all divisors σ(n): 353814000582210089922
- Sum of proper divisors (its aliquot sum) s(n): 231675185954560489922
- 122138814627649600000 is an abundant number, because the sum of its proper divisors (231675185954560489922) is greater than itself. Its abundance is 109536371326910889922
Bases of 122138814627649600000
- Binary: 11010011111000001000011110011001000111000000101011010111010000000002
- Hexadecimal: 0x69F043CC8E056BA00
- Base-36: PRYBOBNB4MFWG
Squares and roots of 122138814627649600000
- 122138814627649600000 squared (1221388146276496000002) is 14917890038647351897092820380160000000000
- 122138814627649600000 cubed (1221388146276496000003) is 1822053406066009440552562088417321404719271936000000000000000
-
The
square root of 122138814627649600000 is 11051643073.6632822185 -
The
cube root of 122138814627649600000 is 4961556.0315307175
Scales and comparisons
How big is 122138814627649600000?- 122,138,814,627,649,600,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 122,138,814,627,649,600,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 122138814627649600000 cubic inches would be around 413463 feet tall.
Recreational maths with 122138814627649600000
- 122138814627649600000 backwards is 000006946726418831221
- The number of decimal digits it has is: 21
- The sum of 122138814627649600000's digits is 70
- More coming soon!
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"Number 122138814627649600000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 122138814627649600000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/122138814627649600000/
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The information we have on file for 122138814627649600000 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 122138814627649600000, math, Factors of 122138814627649600000, curriculum, school, college, exams, university, Prime factorization of 122138814627649600000, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty-two quintillion, one hundred thirty-eight quadrillion, eight hundred fourteen trillion, six hundred twenty-seven billion, six hundred forty-nine million, six hundred thousand.