138468724020000
138,468,724,020,000 is an even composite number composed of six prime numbers multiplied together.
138468724020000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, three hundred twenty divisors.
Prime factorization of 138468724020000:
25 × 311 × 54 × 112 × 17 × 19
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 11 × 11 × 17 × 19)See below for interesting mathematical facts about the number 138468724020000 from the Numbermatics database.
Names of 138468724020000
- Cardinal: 138468724020000 can be written as One hundred thirty-eight trillion, four hundred sixty-eight billion, seven hundred twenty-four million, twenty thousand.
Scientific notation
- Scientific notation: 1.3846872402 × 1014
Factors of 138468724020000
Divisors of 138468724020000
- Number of divisors d(n): 4320
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 19 20 22 24 25 27 30 32 33 34 36 38 40 44 45 48 50 51 54 55 57 60 66 68 72 75 76 80 81 85 88 90 95 96 99 100 102 108 110 114 120 121 125 132 135 136 144 150 152 153 160 162 165 170 171 176 180 187 190 198 200 204 209 216 220 225 228 240 242 243 250 255 264 270 272 275 285 288 297 300 304 306 323 324 330 340 342 352 360 363 374 375 380 396 400 405 408 418 425 432 440 450 456 459 475 480 484 486 495 500 510 513 528 540 544 550 561 570 594 600 605 608 612 625 627 646 648 660 675 680 684 720 726 729 748 750 760 765 792 800 810 816 825 836 850 855 864 880 891 900 912 918 935 950 968 969 972 990 1000 1020 1026 1045 1056 1080 1089 1100 1122 1125 1140 1188 1200 1210 1215 1224 1250 1254 1275 1292 1296 1320 1350 1360 1368 1375 1377 1425 1440 1452 1458 1485 1496 1500 1520 1530 1539 1584 1615 1620 1632 1650 1672 1683 1700 1710 1760 1782 1800 1815 1824 1836 1870 1875 1881 1900 1936 1938 1944 1980 2000 2025 2040 2052 2057 2090 2125 2160 2178 2187 2200 2244 2250 2280 2295 2299 2375 2376 2400 2420 2430 2448 2475 2500 2508 2550 2565 2584 2592 2640 2673 2700 2720 2736 2750 2754 2805 2850 2904 2907 2916 2970 2992 3000 3025 3040 3060 3078 3135 3168 3230 3240 3267 3300 3344 3366 3375 3400 3420 3553 3564 3600 3630 3645 3672 3740 3750 3762 3800 3825 3872 3876 3888 3960 4000 4050 4080 4104 4114 4125 4131 4180 4250 4275 4320 4356 4374 4400 4455 4488 4500 4560 4590 4598 4617 4675 4750 4752 4840 4845 4860 4896 4950 5000 5016 5049 5100 5130 5168 5225 5280 5346 5400 5445 5472 5500 5508 5610 5625 5643 5700 5808 5814 5832 5940 5984 6000 6050 6075 6120 6156 6171 6270 6375 6460 6480 6534 6561 6600 6688 6732 6750 6800 6840 6875 6885 6897 7106 7125 7128 7200 7260 7290 7344 7425 7480 7500 7524 7600 7650 7695 7752 7776 7920 8019 8075 8100 8160 8208 8228 8250 8262 8360 8415 8500 8550 8712 8721 8748 8800 8910 8976 9000 9075 9120 9180 9196 9234 9350 9405 9500 9504 9680 9690 9720 9801 9900 10000 10032 10098 10125 10200 10260 10285 10336 10450 10625 10659 10692 10800 10890 10935 11000 11016 11220 11250 11286 11400 11475 11495 11616 11628 11664 11875 11880 12000 12100 12150 12240 12312 12342 12375 12393 12540 12750 12825 12920 12960 13068 13122 13200 13365 13464 13500 13600 13680 13750 13770 13794 13851 14025 14212 14250 14256 14520 14535 14580 14688 14850 14960 15000 15048 15125 15147 15200 15300 15390 15504 15675 15840 16038 16150 16200 16335 16416 16456 16500 16524 16720 16830 16875 16929 17000 17100 17424 17442 17496 17765 17820 17952 18000 18150 18225 18360 18392 18468 18513 18700 18810 19000 19125 19360 19380 19440 19602 19683 19800 20000 20064 20196 20250 20400 20520 20570 20625 20655 20691 20900 21250 21318 21375 21384 21600 21780 21870 22000 22032 22275 22440 22500 22572 22800 22950 22990 23085 23256 23328 23375 23750 23760 24057 24200 24225 24300 24480 24624 24684 24750 24786 25080 25245 25500 25650 25840 26125 26136 26163 26244 26400 26730 26928 27000 27225 27360 27500 27540 27588 27702 28050 28215 28424 28500 28512 29040 29070 29160 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27693744804000 34617181005000 46156241340000 69234362010000 138468724020000
- Sum of all divisors σ(n): 625993709140800
- Sum of proper divisors (its aliquot sum) s(n): 487524985120800
- 138468724020000 is an abundant number, because the sum of its proper divisors (487524985120800) is greater than itself. Its abundance is 349056261100800
Bases of 138468724020000
- Binary: 111110111101111110000110001101110010011001000002
- Hexadecimal: 0x7DEFC31B9320
- Base-36: 1D2ZNJ4I00
Squares and roots of 138468724020000
- 138468724020000 squared (1384687240200002) is 19173587531726924960400000000
- 138468724020000 cubed (1384687240200003) is 2654942200404008566344877028808000000000000
-
The
square root of 138468724020000 is 11767273.4318532771 -
The
cube root of 138468724020000 is 51734.9336859053
Scales and comparisons
How big is 138468724020000?- 138,468,724,020,000 seconds is equal to 4,402,877 years, 5 weeks, 5 days, 18 hours.
-
To count from 1 to 138,468,724,020,000 would take you about eleven million, seven thousand, one hundred ninety-two 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 138468724020000 cubic inches would be around 4311.2 feet tall.
Recreational maths with 138468724020000
- 138468724020000 backwards is 000020427864831
- 138468724020000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138468724020000's digits is 45
- More coming soon!
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"Number 138468724020000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 138468724020000 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/138468724020000/
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Numbermatics. 2024. "Number 138468724020000 - Facts about the integer". https://numbermatics.com/n/138468724020000/
The information we have on file for 138468724020000 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 138468724020000, math, Factors of 138468724020000, curriculum, school, college, exams, university, Prime factorization of 138468724020000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred sixty-eight billion, seven hundred twenty-four million, twenty thousand.