138219521440000
138,219,521,440,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138219521440000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 4320 divisors.
138219521440000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of four thousand, three hundred twenty divisors.
Prime factorization of 138219521440000:
28 × 54 × 72 × 11 × 13 × 31 × 41 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 7 × 11 × 13 × 31 × 41 × 97)See below for interesting mathematical facts about the number 138219521440000 from the Numbermatics database.
Names of 138219521440000
- Cardinal: 138219521440000 can be written as One hundred thirty-eight trillion, two hundred nineteen billion, five hundred twenty-one million, four hundred forty thousand.
Scientific notation
- Scientific notation: 1.3821952144 × 1014
Factors of 138219521440000
Divisors of 138219521440000
- Number of divisors d(n): 4320
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 31 32 35 40 41 44 49 50 52 55 56 62 64 65 70 77 80 82 88 91 97 98 100 104 110 112 124 125 128 130 140 143 154 155 160 164 175 176 182 194 196 200 205 208 217 220 224 245 248 250 256 260 275 280 286 287 308 310 320 325 328 341 350 352 364 385 388 392 400 403 410 416 434 440 448 451 455 485 490 496 500 520 533 539 550 560 572 574 616 620 625 637 640 650 656 679 682 700 704 715 728 770 775 776 784 800 806 820 832 868 875 880 896 902 910 970 980 992 1000 1001 1025 1040 1066 1067 1078 1085 1100 1120 1144 1148 1225 1232 1240 1250 1261 1271 1274 1280 1300 1312 1358 1364 1375 1400 1408 1430 1435 1456 1519 1540 1550 1552 1568 1600 1612 1625 1640 1664 1705 1736 1750 1760 1792 1804 1820 1925 1940 1960 1984 2000 2002 2009 2015 2050 2080 2132 2134 2156 2170 2200 2240 2255 2275 2288 2296 2387 2425 2450 2464 2480 2500 2522 2542 2548 2600 2624 2665 2695 2716 2728 2750 2800 2816 2821 2860 2870 2912 3007 3038 3080 3100 3104 3136 3157 3185 3200 3224 3250 3280 3328 3395 3410 3472 3500 3520 3575 3608 3640 3731 3850 3875 3880 3920 3968 3977 4000 4004 4018 4030 4100 4160 4264 4268 4312 4340 4375 4400 4433 4480 4510 4550 4576 4592 4753 4774 4850 4900 4928 4960 5000 5005 5044 5084 5096 5125 5200 5248 5330 5335 5390 5425 5432 5456 5500 5600 5642 5720 5740 5824 5863 6014 6076 6125 6160 6200 6208 6272 6305 6314 6355 6370 6400 6448 6500 6560 6790 6820 6875 6944 7000 7007 7040 7150 7175 7216 7280 7462 7469 7595 7700 7750 7760 7840 7936 7954 8000 8008 8036 8060 8125 8200 8320 8525 8528 8536 8624 8680 8750 8800 8827 8866 8897 8960 9020 9100 9152 9184 9506 9548 9625 9700 9800 9856 9920 10000 10010 10045 10075 10088 10168 10192 10250 10400 10496 10660 10670 10780 10850 10864 10912 11000 11200 11275 11284 11375 11440 11480 11648 11726 11935 12028 12125 12152 12250 12320 12400 12416 12544 12610 12628 12710 12740 12896 13000 13120 13325 13475 13580 13640 13750 13871 13888 13981 14000 14014 14080 14105 14300 14350 14432 14560 14924 14938 15035 15190 15400 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19745645920000 27643904288000 34554880360000 69109760720000 138219521440000
- Sum of all divisors σ(n): 503363146632192
- Sum of proper divisors (its aliquot sum) s(n): 365143625192192
- 138219521440000 is an abundant number, because the sum of its proper divisors (365143625192192) is greater than itself. Its abundance is 226924103752192
Bases of 138219521440000
- Binary: 111110110110101101111010111100111111001000000002
- Hexadecimal: 0x7DB5BD79F900
- Base-36: 1CZT66CCN4
Squares and roots of 138219521440000
- 138219521440000 squared (1382195214400002) is 19104636107102619673600000000
- 138219521440000 cubed (1382195214400003) is 2640633660009068676255321001984000000000000
-
The
square root of 138219521440000 is 11756679.8646556673 -
The
cube root of 138219521440000 is 51703.8792101377
Scales and comparisons
How big is 138219521440000?- 138,219,521,440,000 seconds is equal to 4,394,953 years, 12 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 138,219,521,440,000 would take you about ten million, nine hundred eighty-seven thousand, three hundred eighty-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 138219521440000 cubic inches would be around 4308.7 feet tall.
Recreational maths with 138219521440000
- 138219521440000 backwards is 000044125912831
- 138219521440000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138219521440000's digits is 40
- More coming soon!
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"Number 138219521440000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 138219521440000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138219521440000/
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The information we have on file for 138219521440000 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 138219521440000, math, Factors of 138219521440000, curriculum, school, college, exams, university, Prime factorization of 138219521440000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, two hundred nineteen billion, five hundred twenty-one million, four hundred forty thousand.