146980384320000
146,980,384,320,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 146980384320000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 6000 divisors.
146980384320000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six thousand divisors.
Prime factorization of 146980384320000:
29 × 3 × 54 × 74 × 112 × 17 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 11 × 11 × 17 × 31)See below for interesting mathematical facts about the number 146980384320000 from the Numbermatics database.
Names of 146980384320000
- Cardinal: 146980384320000 can be written as One hundred forty-six trillion, nine hundred eighty billion, three hundred eighty-four million, three hundred twenty thousand.
Scientific notation
- Scientific notation: 1.4698038432 × 1014
Factors of 146980384320000
Divisors of 146980384320000
- Number of divisors d(n): 6000
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 17 20 21 22 24 25 28 30 31 32 33 34 35 40 42 44 48 49 50 51 55 56 60 62 64 66 68 70 75 77 80 84 85 88 93 96 98 100 102 105 110 112 119 120 121 124 125 128 132 136 140 147 150 154 155 160 165 168 170 175 176 186 187 192 196 200 204 210 217 220 224 231 238 240 242 245 248 250 255 256 264 272 275 280 294 300 308 310 320 330 336 340 341 343 350 352 357 363 372 374 375 384 385 392 400 408 420 425 434 440 448 462 465 476 480 484 490 496 500 510 512 525 527 528 539 544 550 560 561 588 595 600 605 616 620 625 640 651 660 672 680 682 686 700 704 714 726 735 744 748 750 768 770 775 784 800 816 825 833 840 847 850 868 875 880 896 924 930 935 952 960 968 980 992 1000 1020 1023 1029 1050 1054 1056 1078 1085 1088 1100 1120 1122 1155 1176 1190 1200 1210 1225 1232 1240 1250 1275 1280 1302 1309 1320 1344 1360 1364 1372 1375 1400 1408 1428 1452 1470 1488 1496 1500 1519 1536 1540 1550 1568 1581 1600 1617 1632 1650 1666 1680 1694 1700 1705 1715 1736 1750 1760 1785 1792 1815 1848 1860 1870 1875 1904 1920 1925 1936 1960 1984 2000 2040 2046 2057 2058 2100 2108 2112 2125 2156 2170 2176 2200 2240 2244 2310 2325 2352 2380 2387 2400 2401 2420 2450 2464 2480 2499 2500 2541 2550 2560 2604 2618 2625 2635 2640 2688 2695 2720 2728 2744 2750 2800 2805 2816 2856 2904 2940 2975 2976 2992 3000 3025 3038 3080 3100 3136 3162 3200 3234 3255 3264 3300 3332 3360 3388 3400 3410 3430 3472 3500 3520 3570 3584 3630 3675 3689 3696 3720 3740 3750 3751 3773 3808 3840 3850 3872 3875 3920 3927 3968 4000 4080 4092 4114 4116 4125 4165 4200 4216 4224 4235 4250 4312 4340 4352 4375 4400 4480 4488 4557 4620 4650 4675 4704 4760 4774 4800 4802 4840 4900 4928 4960 4998 5000 5082 5100 5115 5145 5208 5236 5250 5270 5280 5376 5390 5425 5440 5456 5488 5500 5600 5610 5632 5712 5775 5797 5808 5831 5880 5929 5950 5952 5984 6000 6050 6076 6125 6160 6171 6200 6272 6324 6375 6400 6468 6510 6528 6545 6600 6664 6720 6776 6800 6820 6860 6875 6944 7000 7040 7140 7161 7203 7260 7350 7378 7392 7440 7480 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2296568505000 2370651360000 2449673072000 2624649720000 2672370624000 2881968320000 2939607686400 2999599680000 3062091340000 3340463280000 3499532960000 3674509608000 4199439552000 4322952480000 4453951040000 4593137010000 4741302720000 4899346144000 5249299440000 5879215372800 6124182680000 6680926560000 6999065920000 7349019216000 8645904960000 9186274020000 9798692288000 10498598880000 12248365360000 13361853120000 14698038432000 18372548040000 20997197760000 24496730720000 29396076864000 36745096080000 48993461440000 73490192160000 146980384320000
- Sum of all divisors σ(n): 685762751874816
- Sum of proper divisors (its aliquot sum) s(n): 538782367554816
- 146980384320000 is an abundant number, because the sum of its proper divisors (538782367554816) is greater than itself. Its abundance is 391801983234816
Bases of 146980384320000
- Binary: 1000010110101101100010011001100010101010000000002
- Hexadecimal: 0x85AD8998AA00
- Base-36: 1G3LUTWIDC
Squares and roots of 146980384320000
- 146980384320000 squared (1469803843200002) is 21603233374854901862400000000
- 146980384320000 cubed (1469803843200003) is 3175251543990824099971435757568000000000000
-
The
square root of 146980384320000 is 12123546.6889850347 -
The
cube root of 146980384320000 is 52773.9732838639
Scales and comparisons
How big is 146980384320000?- 146,980,384,320,000 seconds is equal to 4,673,521 years, 30 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 146,980,384,320,000 would take you about eleven million, six hundred eighty-three thousand, eight 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 146980384320000 cubic inches would be around 4397.8 feet tall.
Recreational maths with 146980384320000
- 146980384320000 backwards is 000023483089641
- 146980384320000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 146980384320000's digits is 48
- More coming soon!
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MLA style:
"Number 146980384320000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
APA style:
Numbermatics. (2024). Number 146980384320000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/146980384320000/
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The information we have on file for 146980384320000 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 146980384320000, math, Factors of 146980384320000, curriculum, school, college, exams, university, Prime factorization of 146980384320000, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-six trillion, nine hundred eighty billion, three hundred eighty-four million, three hundred twenty thousand.