138638210688000
138,638,210,688,000 is an even composite number composed of six prime numbers multiplied together.
138638210688000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, six hundred ninety-six divisors.
Prime factorization of 138638210688000:
210 × 36 × 53 × 172 × 53 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 17 × 53 × 97)See below for interesting mathematical facts about the number 138638210688000 from the Numbermatics database.
Names of 138638210688000
- Cardinal: 138638210688000 can be written as One hundred thirty-eight trillion, six hundred thirty-eight billion, two hundred ten million, six hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 1.38638210688 × 1014
Factors of 138638210688000
Divisors of 138638210688000
- Number of divisors d(n): 3696
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 53 54 60 64 68 72 75 80 81 85 90 96 97 100 102 106 108 120 125 128 135 136 144 150 153 159 160 162 170 180 192 194 200 204 212 216 225 240 243 250 255 256 265 270 272 288 289 291 300 306 318 320 324 340 360 375 384 388 400 405 408 424 425 432 450 459 477 480 485 486 500 510 512 530 540 544 576 578 582 600 612 636 640 648 675 680 720 729 750 765 768 776 795 800 810 816 848 850 864 867 873 900 901 918 954 960 970 972 1000 1020 1024 1060 1080 1088 1125 1152 1156 1164 1200 1215 1224 1272 1275 1280 1296 1325 1350 1360 1377 1431 1440 1445 1455 1458 1500 1530 1536 1552 1590 1600 1620 1632 1649 1696 1700 1728 1734 1746 1800 1802 1836 1908 1920 1940 1944 2000 2025 2040 2120 2125 2160 2176 2250 2295 2304 2312 2328 2385 2400 2425 2430 2448 2544 2550 2560 2592 2601 2619 2650 2700 2703 2720 2754 2862 2880 2890 2910 2916 3000 3060 3072 3104 3180 3200 3240 3264 3298 3375 3392 3400 3456 3468 3492 3600 3604 3645 3672 3816 3825 3840 3880 3888 3975 4000 4050 4080 4131 4240 4250 4293 4320 4335 4352 4365 4500 4505 4590 4608 4624 4656 4770 4800 4850 4860 4896 4947 5088 5100 5120 5141 5184 5202 5238 5300 5400 5406 5440 5508 5724 5760 5780 5820 5832 6000 6075 6120 6208 6360 6375 6400 6480 6528 6596 6625 6750 6784 6800 6885 6912 6936 6984 7155 7200 7208 7225 7275 7290 7344 7632 7650 7680 7760 7776 7803 7857 7950 8000 8100 8109 8160 8245 8262 8480 8500 8586 8640 8670 8704 8730 9000 9010 9180 9216 9248 9312 9540 9600 9700 9720 9792 9894 10125 10176 10200 10282 10368 10404 10476 10600 10800 10812 10880 11016 11448 11475 11520 11560 11640 11664 11925 12000 12125 12150 12240 12393 12416 12720 12750 12800 12879 12960 13005 13056 13095 13192 13250 13500 13515 13568 13600 13770 13824 13872 13968 14310 14400 14416 14450 14550 14580 14688 14841 15264 15300 15317 15360 15423 15520 15552 15606 15714 15900 16000 16200 16218 16320 16490 16524 16960 17000 17172 17280 17340 17408 17460 18000 18020 18225 18360 18496 18624 19080 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962765352000 1019398608000 1026949708800 1083111021000 1109105685504 1155318422400 1283687136000 1307907648000 1359198144000 1386382106880 1429259904000 1444148028000 1540424563200 1631037772800 1711582848000 1732977633600 1848509475840 1925530704000 2038797216000 2166222042000 2310636844800 2567374272000 2615815296000 2718396288000 2772764213760 2888296056000 3080849126400 3465955267200 3851061408000 4077594432000 4332444084000 4621273689600 5134748544000 5545528427520 5776592112000 6931910534400 7702122816000 8155188864000 8664888168000 9242547379200 11553184224000 13863821068800 15404245632000 17329776336000 23106368448000 27727642137600 34659552672000 46212736896000 69319105344000 138638210688000
- Sum of all divisors σ(n): 567049293864144
- Sum of proper divisors (its aliquot sum) s(n): 428411083176144
- 138638210688000 is an abundant number, because the sum of its proper divisors (428411083176144) is greater than itself. Its abundance is 289772872488144
Bases of 138638210688000
- Binary: 111111000010111001110010100110011100100000000002
- Hexadecimal: 0x7E17394CE400
- Base-36: 1D55IJ4000
Squares and roots of 138638210688000
- 138638210688000 squared (1386382106880002) is 19220553462770277433344000000
- 138638210688000 cubed (1386382106880003) is 2664703140511513686948157348380672000000000
-
The
square root of 138638210688000 is 11774472.8411933585 -
The
cube root of 138638210688000 is 51756.0330508887
Scales and comparisons
How big is 138638210688000?- 138,638,210,688,000 seconds is equal to 4,408,266 years, 13 weeks, 5 days.
-
To count from 1 to 138,638,210,688,000 would take you about eleven million, twenty thousand, six hundred sixty-five 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 138638210688000 cubic inches would be around 4313 feet tall.
Recreational maths with 138638210688000
- 138638210688000 backwards is 000886012836831
- 138638210688000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138638210688000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 138638210688000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 138638210688000 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/138638210688000/
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The information we have on file for 138638210688000 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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