138946391736320000
138,946,391,736,320,000 is an even composite number composed of five prime numbers multiplied together.
138946391736320000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ten divisors.
Prime factorization of 138946391736320000:
218 × 54 × 72 × 17 × 10092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 7 × 17 × 1009 × 1009)See below for interesting mathematical facts about the number 138946391736320000 from the Numbermatics database.
Names of 138946391736320000
- Cardinal: 138946391736320000 can be written as One hundred thirty-eight quadrillion, nine hundred forty-six trillion, three hundred ninety-one billion, seven hundred thirty-six million, three hundred twenty thousand.
Scientific notation
- Scientific notation: 1.3894639173632 × 1017
Factors of 138946391736320000
Divisors of 138946391736320000
- Number of divisors d(n): 1710
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 49 50 56 64 68 70 80 85 98 100 112 119 125 128 136 140 160 170 175 196 200 224 238 245 250 256 272 280 320 340 350 392 400 425 448 476 490 500 512 544 560 595 625 640 680 700 784 800 833 850 875 896 952 980 1000 1009 1024 1088 1120 1190 1225 1250 1280 1360 1400 1568 1600 1666 1700 1750 1792 1904 1960 2000 2018 2048 2125 2176 2240 2380 2450 2500 2560 2720 2800 2975 3136 3200 3332 3400 3500 3584 3808 3920 4000 4036 4096 4165 4250 4352 4375 4480 4760 4900 5000 5045 5120 5440 5600 5950 6125 6272 6400 6664 6800 7000 7063 7168 7616 7840 8000 8072 8192 8330 8500 8704 8750 8960 9520 9800 10000 10090 10240 10625 10880 11200 11900 12250 12544 12800 13328 13600 14000 14126 14336 14875 15232 15680 16000 16144 16384 16660 17000 17153 17408 17500 17920 19040 19600 20000 20180 20480 20825 21250 21760 22400 23800 24500 25088 25225 25600 26656 27200 28000 28252 28672 29750 30464 30625 31360 32000 32288 32768 33320 34000 34306 34816 35000 35315 35840 38080 39200 40000 40360 40960 41650 42500 43520 44800 47600 49000 49441 50176 50450 51200 53312 54400 56000 56504 57344 59500 60928 61250 62720 64000 64576 65536 66640 68000 68612 69632 70000 70630 71680 74375 76160 78400 80000 80720 81920 83300 85000 85765 87040 89600 95200 98000 98882 100352 100900 102400 104125 106624 108800 112000 113008 114688 119000 120071 121856 122500 125440 126125 128000 129152 131072 133280 136000 137224 139264 140000 141260 143360 148750 152320 156800 160000 161440 163840 166600 170000 171530 174080 176575 179200 190400 196000 197764 200704 201800 204800 208250 213248 217600 224000 226016 229376 238000 240142 243712 245000 247205 250880 252250 256000 258304 262144 266560 272000 274448 278528 280000 282520 286720 297500 304640 313600 320000 322880 327680 333200 340000 343060 348160 353150 358400 380800 392000 395528 401408 403600 409600 416500 426496 428825 435200 448000 452032 458752 476000 480284 487424 490000 494410 501760 504500 512000 516608 520625 533120 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3969896906752000 4086658580480000 4342074741760000 4962371133440000 5557855669452800 6947319586816000 8173317160960000 8684149483520000 9924742266880000 13894639173632000 17368298967040000 19849484533760000 27789278347264000 34736597934080000 69473195868160000 138946391736320000
- Sum of all divisors σ(n): 428134721282630802
- Sum of proper divisors (its aliquot sum) s(n): 289188329546310802
- 138946391736320000 is an abundant number, because the sum of its proper divisors (289188329546310802) is greater than itself. Its abundance is 150241937809990802
Bases of 138946391736320000
- Binary: 1111011011010001100000001110100100100010000000000000000002
- Hexadecimal: 0x1EDA301D2440000
- Base-36: 1204DV5YA5FK
Squares and roots of 138946391736320000
- 138946391736320000 squared (1389463917363200002) is 19306099776542894784407142400000000
- 138946391736320000 cubed (1389463917363200003) is 2682512902452009074450159798757745491968000000000000
-
The
square root of 138946391736320000 is 372755136.4318404667 -
The
cube root of 138946391736320000 is 517943.5443512675
Scales and comparisons
How big is 138946391736320000?- 138,946,391,736,320,000 seconds is equal to 4,418,065,467 years, 41 weeks, 6 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,946,391,736,320,000 would take you about thirteen billion, two hundred fifty-four million, one hundred ninety-six thousand, four hundred three 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 138946391736320000 cubic inches would be around 43162 feet tall.
Recreational maths with 138946391736320000
- 138946391736320000 backwards is 000023637193649831
- The number of decimal digits it has is: 18
- The sum of 138946391736320000's digits is 65
- More coming soon!
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"Number 138946391736320000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 138946391736320000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138946391736320000/
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The information we have on file for 138946391736320000 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 138946391736320000, math, Factors of 138946391736320000, curriculum, school, college, exams, university, Prime factorization of 138946391736320000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, nine hundred forty-six trillion, three hundred ninety-one billion, seven hundred thirty-six million, three hundred twenty thousand.