138857112928800
138,857,112,928,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138857112928800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2430 divisors.
138857112928800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred thirty divisors.
Prime factorization of 138857112928800:
25 × 34 × 52 × 72 × 172 × 3892
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 17 × 17 × 389 × 389)See below for interesting mathematical facts about the number 138857112928800 from the Numbermatics database.
Names of 138857112928800
- Cardinal: 138857112928800 can be written as One hundred thirty-eight trillion, eight hundred fifty-seven billion, one hundred twelve million, nine hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.388571129288 × 1014
Factors of 138857112928800
Divisors of 138857112928800
- Number of divisors d(n): 2430
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 27 28 30 32 34 35 36 40 42 45 48 49 50 51 54 56 60 63 68 70 72 75 80 81 84 85 90 96 98 100 102 105 108 112 119 120 126 135 136 140 144 147 150 153 160 162 168 170 175 180 189 196 200 204 210 216 224 225 238 240 245 252 255 270 272 280 288 289 294 300 306 315 324 336 340 350 357 360 378 389 392 400 405 408 420 425 432 441 450 459 476 480 490 504 510 525 540 544 560 567 578 588 595 600 612 630 648 672 675 680 700 714 720 735 756 765 778 784 800 810 816 833 840 850 864 867 882 900 918 945 952 980 1008 1020 1050 1071 1080 1120 1134 1156 1167 1176 1190 1200 1224 1225 1260 1275 1296 1323 1350 1360 1377 1400 1428 1440 1445 1470 1512 1530 1556 1568 1575 1620 1632 1666 1680 1700 1734 1764 1785 1800 1836 1890 1904 1945 1960 2016 2023 2025 2040 2100 2142 2160 2205 2268 2295 2312 2334 2352 2380 2400 2448 2450 2499 2520 2550 2592 2601 2646 2700 2720 2723 2754 2800 2835 2856 2890 2940 2975 3024 3060 3112 3150 3213 3240 3332 3360 3400 3468 3501 3528 3570 3600 3672 3675 3780 3808 3825 3890 3920 3969 4046 4050 4080 4165 4200 4284 4320 4335 4410 4536 4590 4624 4668 4704 4725 4760 4896 4900 4998 5040 5100 5202 5292 5355 5400 5446 5508 5600 5670 5712 5780 5835 5880 5950 6048 6069 6120 6224 6300 6426 6480 6613 6615 6664 6800 6885 6936 7002 7056 7140 7200 7225 7344 7350 7497 7560 7650 7780 7803 7840 7938 8092 8100 8160 8169 8330 8400 8568 8670 8820 8925 9072 9180 9248 9336 9450 9520 9639 9725 9800 9996 10080 10115 10200 10404 10503 10584 10710 10800 10892 11016 11025 11340 11424 11475 11560 11670 11760 11900 12138 12240 12448 12495 12600 12852 12960 13005 13226 13230 13328 13600 13615 13770 13872 14004 14112 14161 14175 14280 14450 14688 14700 14994 15120 15300 15560 15606 15876 16065 16184 16200 16338 16660 16800 17136 17340 17505 17640 17850 18144 18207 18360 18672 18900 19040 19061 19278 19450 19600 19839 19845 19992 20230 20400 20808 20825 21006 21168 21420 21600 21675 21784 22032 22050 22491 22680 22950 23120 23340 23409 23520 23800 24276 24480 24507 24990 25200 25704 26010 26452 26460 26656 26775 27230 27540 27744 28008 28322 28350 28560 28900 29175 29400 29988 30240 30345 30600 31120 31212 31509 31752 32130 32368 32400 32676 33065 33075 33320 34272 34425 34680 35010 35280 35700 36414 36720 37344 37485 37800 38122 38556 38900 39015 39200 39678 39690 39984 40460 40800 40845 41616 41650 42012 42336 42483 42840 43350 43568 44064 44100 44982 45360 45900 46240 46291 46680 46818 47600 48195 48552 49014 49980 50400 50575 51408 52020 52515 52904 52920 53550 54460 54621 55080 56016 56644 56700 57120 57183 57800 58350 58800 59517 59976 60690 61200 62240 62424 62475 63018 63504 64260 64736 64800 65025 65352 66130 66150 66640 67473 68075 68850 69360 70020 70560 70805 71400 72828 73440 73521 74970 75600 76244 77112 77800 78030 79356 79380 79968 80325 80920 81690 83232 83300 84024 84966 85680 86700 87136 87525 88200 89964 90720 91035 91800 92582 93360 93636 95200 95305 96390 97104 98028 99195 99225 99960 101150 102816 104040 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991836520920 1021008183300 1028571206880 1102040578800 1157142607740 1166866495200 1239795651150 1285714008600 1322448694560 1361344244400 1388571129288 1416909315600 1446428259675 1542856810320 1633613093280 1653060868200 1714285344800 1735713911610 1851428172384 1928571012900 1983673041840 2042016366600 2204081157600 2314285215480 2479591302300 2571428017200 2722688488800 2777142258576 2833818631200 2892856519350 3085713620640 3306121736400 3471427823220 3857142025800 3967346083680 4084032733200 4339284779025 4628570430960 4959182604600 5142856034400 5554284517152 5785713038700 6612243472800 6942855646440 7714284051600 8168065466400 8678569558050 9257140861920 9918365209200 11571426077400 13885711292880 15428568103200 17357139116100 19836730418400 23142852154800 27771422585760 34714278232200 46285704309600 69428556464400 138857112928800
- Sum of all divisors σ(n): 627361575720957
- Sum of proper divisors (its aliquot sum) s(n): 488504462792157
- 138857112928800 is an abundant number, because the sum of its proper divisors (488504462792157) is greater than itself. Its abundance is 349647349863357
Bases of 138857112928800
- Binary: 111111001001010001100001110010000000010001000002
- Hexadecimal: 0x7E4A30E40220
- Base-36: 1D7Y2RUQ00
Squares and roots of 138857112928800
- 138857112928800 squared (1388571129288002) is 19281297810921516113869440000
- 138857112928800 cubed (1388571129288003) is 2677345347544953193017277750019215872000000
-
The
square root of 138857112928800 is 11783764.8028463297 -
The
cube root of 138857112928800 is 51783.2587194909
Scales and comparisons
How big is 138857112928800?- 138,857,112,928,800 seconds is equal to 4,415,226 years, 35 weeks, 1 day, 18 hours.
-
To count from 1 to 138,857,112,928,800 would take you about eleven million, thirty-eight thousand and sixty-six 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 138857112928800 cubic inches would be around 4315.3 feet tall.
Recreational maths with 138857112928800
- 138857112928800 backwards is 008829211758831
- 138857112928800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138857112928800's digits is 63
- More coming soon!
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"Number 138857112928800 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
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Numbermatics. (2024). Number 138857112928800 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/138857112928800/
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The information we have on file for 138857112928800 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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