138198833640000
138,198,833,640,000 is an even composite number composed of five prime numbers multiplied together.
138198833640000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, two hundred five divisors.
Prime factorization of 138198833640000:
26 × 36 × 54 × 72 × 3112
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 311 × 311)See below for interesting mathematical facts about the number 138198833640000 from the Numbermatics database.
Names of 138198833640000
- Cardinal: 138198833640000 can be written as One hundred thirty-eight trillion, one hundred ninety-eight billion, eight hundred thirty-three million, six hundred forty thousand.
Scientific notation
- Scientific notation: 1.3819883364 × 1014
Factors of 138198833640000
Divisors of 138198833640000
- Number of divisors d(n): 2205
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 81 84 90 96 98 100 105 108 112 120 125 126 135 140 144 147 150 160 162 168 175 180 189 192 196 200 210 216 224 225 240 243 245 250 252 270 280 288 294 300 311 315 320 324 336 350 360 375 378 392 400 405 420 432 441 448 450 480 486 490 500 504 525 540 560 567 576 588 600 622 625 630 648 672 675 700 720 729 735 750 756 784 800 810 840 864 875 882 900 933 945 960 972 980 1000 1008 1050 1080 1120 1125 1134 1176 1200 1215 1225 1244 1250 1260 1296 1323 1344 1350 1400 1440 1458 1470 1500 1512 1555 1568 1575 1600 1620 1680 1701 1728 1750 1764 1800 1866 1875 1890 1944 1960 2000 2016 2025 2100 2160 2177 2205 2240 2250 2268 2352 2400 2430 2450 2488 2500 2520 2592 2625 2646 2700 2799 2800 2835 2880 2916 2940 3000 3024 3110 3136 3150 3240 3360 3375 3402 3500 3528 3600 3645 3675 3732 3750 3780 3888 3920 3969 4000 4032 4050 4200 4320 4354 4375 4410 4500 4536 4665 4704 4725 4800 4860 4900 4976 5000 5040 5103 5184 5250 5292 5400 5598 5600 5625 5670 5832 5880 6000 6048 6075 6125 6220 6300 6480 6531 6615 6720 6750 6804 7000 7056 7200 7290 7350 7464 7500 7560 7775 7776 7840 7875 7938 8000 8100 8397 8400 8505 8640 8708 8750 8820 9000 9072 9330 9408 9450 9720 9800 9952 10000 10080 10125 10206 10500 10584 10800 10885 11025 11196 11200 11250 11340 11664 11760 11907 12000 12096 12150 12250 12440 12600 12960 13062 13125 13230 13500 13608 13995 14000 14112 14175 14400 14580 14700 14928 15000 15120 15239 15550 15552 15680 15750 15876 16200 16794 16800 16875 17010 17416 17500 17640 18000 18144 18225 18375 18660 18900 19440 19593 19600 19845 19904 20000 20160 20250 20412 21000 21168 21600 21770 22050 22392 22500 22680 23325 23328 23520 23625 23814 24000 24300 24500 24880 25191 25200 25515 25920 26124 26250 26460 27000 27216 27990 28000 28224 28350 29160 29400 29856 30000 30240 30375 30478 30625 31100 31500 31752 32400 32655 33075 33588 33600 33750 34020 34832 35000 35280 35721 36000 36288 36450 36750 37320 37800 38875 38880 39186 39200 39375 39690 40000 40500 40824 41985 42000 42336 42525 43200 43540 44100 44784 45000 45360 45717 46650 46656 47040 47250 47628 48600 49000 49760 50382 50400 50625 51030 52248 52500 52920 54000 54425 54432 55125 55980 56000 56700 58320 58779 58800 59535 59712 60000 60480 60750 60956 61250 62200 63000 63504 64800 65310 66150 67176 67500 68040 69664 69975 70000 70560 70875 71442 72000 72900 73500 74640 75573 75600 76195 77750 77760 78372 78400 78750 79380 81000 81648 83970 84000 84672 85050 87080 88200 89568 90000 90720 91125 91434 91875 93300 94500 95256 96721 97200 97965 98000 99225 99520 100764 100800 101250 102060 104496 105000 105840 108000 108850 108864 110250 111960 113400 116625 116640 117558 117600 118125 119070 120000 121500 121912 122500 124400 125955 126000 127008 127575 129600 130620 132300 134352 135000 136080 137151 139328 139950 140000 141120 141750 142884 145800 147000 149280 151146 151200 151875 152390 155500 156744 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658089684000 690994168200 705096090000 719785591875 731210760000 767771298000 789707620800 822612105000 853079220000 863742710250 921325557600 940128120000 959714122500 987134526000 1023695064000 1096816140000 1105590669120 1151656947000 1233918157500 1279618830000 1316179368000 1381988336400 1410192180000 1439571183750 1535542596000 1645224210000 1706158440000 1727485420500 1842651115200 1919428245000 1974269052000 2159356775625 2193632280000 2303313894000 2467836315000 2559237660000 2763976672800 2820384360000 2879142367500 3071085192000 3290448420000 3454970841000 3838856490000 3948538104000 4318713551250 4606627788000 4935672630000 5118475320000 5527953345600 5758284735000 6580896840000 6909941682000 7677712980000 8637427102500 9213255576000 9871345260000 11516569470000 13819883364000 15355425960000 17274854205000 19742690520000 23033138940000 27639766728000 34549708410000 46066277880000 69099416820000 138198833640000
- Sum of all divisors σ(n): 599610502665471
- Sum of proper divisors (its aliquot sum) s(n): 461411669025471
- 138198833640000 is an abundant number, because the sum of its proper divisors (461411669025471) is greater than itself. Its abundance is 323212835385471
Bases of 138198833640000
- Binary: 111110110110000111011000110001100110010010000002
- Hexadecimal: 0x7DB0EC633240
- Base-36: 1CZJO1D000
Squares and roots of 138198833640000
- 138198833640000 squared (1381988336400002) is 19098917619456395649600000000
- 138198833640000 cubed (1381988336400003) is 2639448138795319249613090132544000000000000
-
138198833640000 is a
perfect square number . Itssquare root is 11755800 -
The
cube root of 138198833640000 is 51701.2995145173
Scales and comparisons
How big is 138198833640000?- 138,198,833,640,000 seconds is equal to 4,394,295 years, 22 weeks, 3 days, 12 hours.
-
To count from 1 to 138,198,833,640,000 would take you about ten million, nine hundred eighty-five thousand, seven hundred thirty-eight 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 138198833640000 cubic inches would be around 4308.4 feet tall.
Recreational maths with 138198833640000
- 138198833640000 backwards is 000046338891831
- 138198833640000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138198833640000's digits is 54
- More coming soon!
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"Number 138198833640000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 138198833640000 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/138198833640000/
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Numbermatics. 2024. "Number 138198833640000 - Facts about the integer". https://numbermatics.com/n/138198833640000/
The information we have on file for 138198833640000 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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