146748329728000000
146,748,329,728,000,000 is an even composite number composed of seven prime numbers multiplied together.
146748329728000000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of ten thousand and eighty divisors.
Prime factorization of 146748329728000000:
214 × 56 × 73 × 11 × 132 × 29 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 13 × 13 × 29 × 31)See below for interesting mathematical facts about the number 146748329728000000 from the Numbermatics database.
Names of 146748329728000000
- Cardinal: 146748329728000000 can be written as One hundred forty-six quadrillion, seven hundred forty-eight trillion, three hundred twenty-nine billion, seven hundred twenty-eight million.
Scientific notation
- Scientific notation: 1.46748329728 × 1017
Factors of 146748329728000000
Divisors of 146748329728000000
- Number of divisors d(n): 10080
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 29 31 32 35 40 44 49 50 52 55 56 58 62 64 65 70 77 80 88 91 98 100 104 110 112 116 124 125 128 130 140 143 145 154 155 160 169 175 176 182 196 200 203 208 217 220 224 232 245 248 250 256 260 275 280 286 290 308 310 319 320 325 338 341 343 350 352 364 377 385 392 400 403 406 416 434 440 448 455 464 490 496 500 512 520 539 550 560 572 580 616 620 625 637 638 640 650 676 682 686 700 704 715 725 728 754 770 775 784 800 806 812 832 845 868 875 880 896 899 910 928 980 992 1000 1001 1015 1024 1040 1078 1085 1100 1120 1144 1160 1183 1225 1232 1240 1250 1274 1276 1280 1300 1352 1364 1372 1375 1400 1408 1421 1430 1450 1456 1508 1519 1540 1550 1568 1595 1600 1612 1624 1625 1664 1690 1705 1715 1736 1750 1760 1792 1798 1820 1856 1859 1885 1925 1960 1984 2000 2002 2015 2030 2048 2080 2156 2170 2200 2233 2240 2275 2288 2320 2366 2387 2450 2464 2480 2500 2548 2552 2560 2600 2639 2695 2704 2728 2744 2750 2800 2816 2821 2842 2860 2900 2912 3016 3038 3080 3100 3125 3136 3185 3190 3200 3224 3248 3250 3328 3380 3410 3430 3472 3500 3520 3575 3584 3596 3625 3640 3712 3718 3770 3773 3850 3875 3920 3968 4000 4004 4030 4060 4096 4147 4160 4225 4312 4340 4375 4400 4433 4459 4466 4480 4495 4550 4576 4640 4732 4774 4900 4901 4928 4960 5000 5005 5075 5096 5104 5120 5200 5239 5278 5390 5408 5425 5456 5488 5500 5600 5632 5642 5684 5720 5800 5824 5915 6032 6076 6125 6160 6200 6250 6272 6293 6370 6380 6400 6448 6496 6500 6656 6760 6820 6860 6875 6944 7000 7007 7040 7105 7150 7168 7192 7250 7280 7424 7436 7540 7546 7595 7700 7750 7840 7936 7975 8000 8008 8060 8120 8125 8192 8281 8294 8320 8450 8525 8575 8624 8680 8750 8800 8866 8918 8932 8960 8990 9100 9152 9280 9295 9425 9464 9548 9625 9800 9802 9856 9889 9920 9947 10000 10010 10075 10150 10192 10208 10240 10400 10478 10556 10633 10780 10816 10850 10912 10976 11000 11165 11200 11264 11284 11368 11375 11440 11600 11648 11687 11830 11935 12064 12152 12250 12320 12400 12500 12544 12586 12740 12760 12800 12896 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- Sum of all divisors σ(n): 539665582192128000
- Sum of proper divisors (its aliquot sum) s(n): 392917252464128000
- 146748329728000000 is an abundant number, because the sum of its proper divisors (392917252464128000) is greater than itself. Its abundance is 246168922736128000
Bases of 146748329728000000
- Binary: 10000010010101101011010100000100001101000111000000000000002
- Hexadecimal: 0x2095AD410D1C000
- Base-36: 144XXVZYGIKG
Squares and roots of 146748329728000000
- 146748329728000000 squared (1467483297280000002) is 21535072277957808553984000000000000
- 146748329728000000 cubed (1467483297280000003) is 3160235887362064556152342920036352000000000000000000
-
The
square root of 146748329728000000 is 383077446.1228434159 -
The
cube root of 146748329728000000 is 527461.8523694563
Scales and comparisons
How big is 146748329728000000?- 146,748,329,728,000,000 seconds is equal to 4,666,142,962 years, 50 weeks, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 146,748,329,728,000,000 would take you about thirteen billion, nine hundred ninety-eight million, four hundred twenty-eight thousand, eight hundred eighty-eight 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 146748329728000000 cubic inches would be around 43955.2 feet tall.
Recreational maths with 146748329728000000
- 146748329728000000 backwards is 000000827923847641
- The number of decimal digits it has is: 18
- The sum of 146748329728000000's digits is 61
- More coming soon!
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Cite this page
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"Number 146748329728000000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
APA style:
Numbermatics. (2024). Number 146748329728000000 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/146748329728000000/
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The information we have on file for 146748329728000000 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!
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