138382232144400000
138,382,232,144,400,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138382232144400000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3456 divisors.
138382232144400000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 138382232144400000:
27 × 33 × 55 × 312 × 107 × 3532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 31 × 31 × 107 × 353 × 353)See below for interesting mathematical facts about the number 138382232144400000 from the Numbermatics database.
Names of 138382232144400000
- Cardinal: 138382232144400000 can be written as One hundred thirty-eight quadrillion, three hundred eighty-two trillion, two hundred thirty-two billion, one hundred forty-four million, four hundred thousand.
Scientific notation
- Scientific notation: 1.383822321444 × 1017
Factors of 138382232144400000
Divisors of 138382232144400000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 54 60 62 64 72 75 80 90 93 96 100 107 108 120 124 125 128 135 144 150 155 160 180 186 192 200 214 216 225 240 248 250 270 279 288 300 310 320 321 353 360 372 375 384 400 428 432 450 465 480 496 500 535 540 558 576 600 620 625 640 642 675 706 720 744 750 775 800 837 856 864 900 930 960 961 963 992 1000 1059 1070 1080 1116 1125 1152 1200 1240 1250 1284 1350 1395 1412 1440 1488 1500 1550 1600 1605 1674 1712 1728 1765 1800 1860 1875 1920 1922 1926 1984 2000 2118 2140 2160 2232 2250 2325 2400 2480 2500 2568 2675 2700 2790 2824 2880 2883 2889 2976 3000 3100 3125 3177 3200 3210 3317 3348 3375 3424 3456 3530 3600 3720 3750 3844 3852 3875 3968 4000 4185 4236 4280 4320 4464 4500 4650 4800 4805 4815 4960 5000 5136 5295 5350 5400 5580 5625 5648 5760 5766 5778 5952 6000 6200 6250 6354 6420 6634 6696 6750 6848 6975 7060 7200 7440 7500 7688 7704 7750 8000 8025 8370 8472 8560 8640 8649 8825 8928 9000 9300 9375 9531 9600 9610 9630 9920 9951 10000 10272 10590 10700 10800 10943 11160 11250 11296 11532 11556 11625 11904 12000 12400 12500 12708 12840 13268 13375 13392 13500 13696 13950 14120 14400 14415 14445 14880 15000 15376 15408 15500 15885 16000 16050 16585 16740 16875 16944 17120 17280 17298 17650 17856 18000 18600 18750 19062 19220 19260 19375 19840 19902 20000 20544 20925 21180 21400 21600 21886 22320 22500 22592 23064 23112 23250 24000 24025 24075 24800 25000 25416 25680 25947 26475 26536 26750 26784 27000 27900 28125 28240 28800 28830 28890 29760 29853 30000 30752 30816 31000 31770 32100 32829 33170 33480 33750 33888 34240 34596 34875 35300 35712 36000 37200 37500 37771 38124 38440 38520 38750 39804 40000 40125 41088 41850 42360 42800 43200 43245 43772 44125 44640 45000 45184 46128 46224 46500 47655 48000 48050 48150 49600 49755 50000 50832 51360 51894 52950 53072 53500 53568 54000 54715 55800 56250 56480 57660 57780 58125 59520 59706 60000 61504 61632 62000 63540 64200 65658 66340 66875 66960 67500 67776 68480 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646645944600000 691911160722000 720740792418750 743990495400000 768790178580000 864888950902500 892788594480000 922548214296000 960987723225000 1025053571440000 1081111188628125 1107057857155200 1115985743100000 1153185267870000 1281316964300000 1293291889200000 1383822321444000 1441481584837500 1487980990800000 1537580357160000 1729777901805000 1845096428592000 1921975446450000 2162222377256250 2231971486200000 2306370535740000 2562633928600000 2767644642888000 2882963169675000 3075160714320000 3459555803610000 3843950892900000 4324444754512500 4463942972400000 4612741071480000 5125267857200000 5535289285776000 5765926339350000 6919111607220000 7687901785800000 8648889509025000 9225482142960000 11531852678700000 13838223214440000 15375803571600000 17297779018050000 23063705357400000 27676446428880000 34595558036100000 46127410714800000 69191116072200000 138382232144400000
- Sum of all divisors σ(n): 533933115602846400
- Sum of proper divisors (its aliquot sum) s(n): 395550883458446400
- 138382232144400000 is an abundant number, because the sum of its proper divisors (395550883458446400) is greater than itself. Its abundance is 257168651314046400
Bases of 138382232144400000
- Binary: 1111010111010000111101000001011100011000101001110100000002
- Hexadecimal: 0x1EBA1E82E314E80
- Base-36: 11UKENTRF6O0
Squares and roots of 138382232144400000
- 138382232144400000 squared (1383822321444000002) is 19149642173266612622451360000000000
- 138382232144400000 cubed (1383822321444000003) is 2649970228703172915593891370917496384000000000000000
-
The
square root of 138382232144400000 is 371997623.8424111225 -
The
cube root of 138382232144400000 is 517241.5969230129
Scales and comparisons
How big is 138382232144400000?- 138,382,232,144,400,000 seconds is equal to 4,400,126,937 years, 43 weeks, 6 days.
-
To count from 1 to 138,382,232,144,400,000 would take you about thirteen billion, two hundred million, three hundred eighty thousand, eight hundred thirteen 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 138382232144400000 cubic inches would be around 43103.5 feet tall.
Recreational maths with 138382232144400000
- 138382232144400000 backwards is 000004441232283831
- 138382232144400000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138382232144400000's digits is 45
- More coming soon!
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"Number 138382232144400000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 138382232144400000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/138382232144400000/
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The information we have on file for 138382232144400000 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 138382232144400000, math, Factors of 138382232144400000, curriculum, school, college, exams, university, Prime factorization of 138382232144400000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred eighty-two trillion, two hundred thirty-two billion, one hundred forty-four million, four hundred thousand.