42188840928000
42,188,840,928,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42188840928000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 4320 divisors.
42188840928000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, three hundred twenty divisors.
Prime factorization of 42188840928000:
28 × 34 × 53 × 132 × 19 × 37 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 19 × 37 × 137)See below for interesting mathematical facts about the number 42188840928000 from the Numbermatics database.
Names of 42188840928000
- Cardinal: 42188840928000 can be written as Forty-two trillion, one hundred eighty-eight billion, eight hundred forty million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.2188840928 × 1013
Factors of 42188840928000
Divisors of 42188840928000
- Number of divisors d(n): 4320
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 25 26 27 30 32 36 37 38 39 40 45 48 50 52 54 57 60 64 65 72 74 75 76 78 80 81 90 95 96 100 104 108 111 114 117 120 125 128 130 135 137 144 148 150 152 156 160 162 169 171 180 185 190 192 195 200 208 216 222 225 228 234 240 247 250 256 260 270 274 285 288 296 300 304 312 320 324 325 333 338 342 351 360 370 375 380 384 390 400 405 411 416 432 444 450 456 468 475 480 481 494 500 507 513 520 540 548 555 570 576 585 592 600 608 624 640 648 650 666 675 676 684 685 702 703 720 740 741 750 760 768 780 800 810 822 832 845 855 864 888 900 912 925 936 950 960 962 975 988 999 1000 1014 1026 1040 1053 1080 1096 1110 1125 1140 1152 1170 1184 1200 1216 1233 1235 1248 1280 1296 1300 1332 1350 1352 1368 1370 1404 1406 1425 1440 1443 1480 1482 1500 1520 1521 1539 1560 1600 1620 1625 1644 1664 1665 1690 1710 1728 1755 1776 1781 1800 1824 1850 1872 1900 1920 1924 1950 1976 1998 2000 2025 2028 2052 2055 2080 2106 2109 2160 2192 2220 2223 2250 2280 2304 2340 2368 2375 2400 2405 2432 2466 2470 2496 2535 2565 2592 2600 2603 2664 2700 2704 2736 2740 2775 2808 2812 2850 2880 2886 2925 2960 2964 2997 3000 3040 3042 3078 3120 3200 3211 3240 3250 3288 3328 3330 3375 3380 3420 3425 3456 3510 3515 3552 3562 3600 3648 3699 3700 3705 3744 3800 3840 3848 3900 3952 3996 4000 4050 4056 4104 4110 4160 4212 4218 4225 4275 4320 4329 4384 4440 4446 4500 4560 4563 4625 4680 4736 4750 4800 4810 4864 4875 4932 4940 4992 4995 5069 5070 5130 5184 5200 5206 5265 5328 5343 5400 5408 5472 5480 5550 5616 5624 5700 5760 5772 5850 5920 5928 5994 6000 6080 6084 6156 6165 6175 6240 6253 6327 6400 6422 6480 6500 6576 6660 6669 6750 6760 6840 6850 6912 7020 7030 7104 7124 7125 7200 7215 7296 7398 7400 7410 7488 7600 7605 7695 7696 7800 7809 7904 7992 8000 8100 8112 8208 8220 8320 8325 8424 8436 8450 8550 8640 8658 8768 8775 8880 8892 8905 9000 9120 9126 9139 9250 9360 9472 9500 9600 9620 9633 9750 9864 9880 9984 9990 10125 10138 10140 10260 10275 10368 10400 10412 10530 10545 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- Sum of all divisors σ(n): 185129077573440
- Sum of proper divisors (its aliquot sum) s(n): 142940236645440
- 42188840928000 is an abundant number, because the sum of its proper divisors (142940236645440) is greater than itself. Its abundance is 100751395717440
Bases of 42188840928000
- Binary: 10011001011110110110101110000010000011000000002
- Hexadecimal: 0x265EDAE08300
- Base-36: EYDAALS00
Squares and roots of 42188840928000
- 42188840928000 squared (421888409280002) is 1779898298848087901184000000
- 42188840928000 cubed (421888409280003) is 75091846198119786100013158858752000000000
-
The
square root of 42188840928000 is 6495293.7522486233 -
The
cube root of 42188840928000 is 34812.2850799767
Scales and comparisons
How big is 42188840928000?- 42,188,840,928,000 seconds is equal to 1,341,474 years, 33 weeks, 3 days.
-
To count from 1 to 42,188,840,928,000 would take you about three million, three hundred fifty-three thousand, six hundred eighty-six 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 42188840928000 cubic inches would be around 2901 feet tall.
Recreational maths with 42188840928000
- 42188840928000 backwards is 00082904888124
- 42188840928000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42188840928000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 42188840928000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 42188840928000 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/42188840928000/
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The information we have on file for 42188840928000 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 42188840928000, math, Factors of 42188840928000, curriculum, school, college, exams, university, Prime factorization of 42188840928000, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, one hundred eighty-eight billion, eight hundred forty million, nine hundred twenty-eight thousand.