3982661664768000
3,982,661,664,768,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 3982661664768000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 5184 divisors.
3982661664768000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand, one hundred eighty-four divisors.
Prime factorization of 3982661664768000:
217 × 35 × 53 × 232 × 31 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 23 × 23 × 31 × 61)See below for interesting mathematical facts about the number 3982661664768000 from the Numbermatics database.
Names of 3982661664768000
- Cardinal: 3982661664768000 can be written as Three quadrillion, nine hundred eighty-two trillion, six hundred sixty-one billion, six hundred sixty-four million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 3.982661664768 × 1015
Factors of 3982661664768000
Divisors of 3982661664768000
- Number of divisors d(n): 5184
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 27 30 31 32 36 40 45 46 48 50 54 60 61 62 64 69 72 75 80 81 90 92 93 96 100 108 115 120 122 124 125 128 135 138 144 150 155 160 162 180 183 184 186 192 200 207 216 225 230 240 243 244 248 250 256 270 276 279 288 300 305 310 320 324 345 360 366 368 372 375 384 400 405 414 432 450 460 465 480 486 488 496 500 512 529 540 549 552 558 575 576 600 610 620 621 640 648 675 690 713 720 732 736 744 750 768 775 800 810 828 837 864 900 915 920 930 960 972 976 992 1000 1024 1035 1058 1080 1098 1104 1116 1125 1150 1152 1200 1215 1220 1240 1242 1280 1296 1350 1380 1395 1403 1426 1440 1464 1472 1488 1500 1525 1536 1550 1587 1600 1620 1647 1656 1674 1725 1728 1800 1830 1840 1860 1863 1891 1920 1944 1952 1984 2000 2025 2048 2070 2116 2139 2160 2196 2208 2232 2250 2300 2304 2325 2400 2430 2440 2480 2484 2511 2560 2592 2645 2700 2745 2760 2790 2806 2852 2875 2880 2928 2944 2976 3000 3050 3072 3100 3105 3174 3200 3240 3294 3312 3348 3375 3450 3456 3565 3600 3660 3680 3720 3726 3782 3840 3875 3888 3904 3968 4000 4050 4096 4140 4185 4209 4232 4278 4320 4392 4416 4464 4500 4575 4600 4608 4650 4761 4800 4860 4880 4941 4960 4968 5022 5120 5175 5184 5290 5400 5490 5520 5580 5589 5612 5673 5704 5750 5760 5856 5888 5952 6000 6075 6100 6144 6200 6210 6348 6400 6417 6480 6588 6624 6696 6750 6900 6912 6975 7015 7130 7200 7320 7360 7440 7452 7533 7564 7625 7680 7750 7776 7808 7935 7936 8000 8100 8192 8235 8280 8370 8418 8464 8556 8625 8640 8784 8832 8928 9000 9150 9200 9216 9300 9315 9455 9522 9600 9720 9760 9882 9920 9936 10044 10125 10240 10350 10368 10580 10695 10800 10980 11040 11160 11178 11224 11346 11408 11500 11520 11625 11712 11776 11904 12000 12150 12200 12288 12400 12420 12555 12627 12696 12800 12834 12960 13176 13225 13248 13392 13500 13725 13800 13824 13950 14030 14260 14283 14400 14640 14720 14823 14880 14904 15066 15128 15250 15360 15500 15525 15552 15616 15870 15872 16000 16200 16384 16399 16470 16560 16740 16836 16928 17019 17112 17250 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147505987584000 159306466590720 165944236032000 173159202816000 199133083238400 221258981376000 248916354048000 265510777651200 331888472064000 398266166476800 442517962752000 497832708096000 663776944128000 796532332953600 995665416192000 1327553888256000 1991330832384000 3982661664768000
- Sum of all divisors σ(n): 16331686939137024
- Sum of proper divisors (its aliquot sum) s(n): 12349025274369024
- 3982661664768000 is an abundant number, because the sum of its proper divisors (12349025274369024) is greater than itself. Its abundance is 8366363609601024
Bases of 3982661664768000
- Binary: 11100010011000110101101011011100101000000000000000002
- Hexadecimal: 0xE2635ADCA0000
- Base-36: 137QHIDXC00
Squares and roots of 3982661664768000
- 3982661664768000 squared (39826616647680002) is 15861593936012617212493824000000
- 3982661664768000 cubed (39826616647680003) is 63171362111074023735363384700758392832000000000
-
The
square root of 3982661664768000 is 63108332.7680901423 -
The
cube root of 3982661664768000 is 158510.4155769303
Scales and comparisons
How big is 3982661664768000?- 3,982,661,664,768,000 seconds is equal to 126,636,321 years, 39 weeks, 3 days.
-
To count from 1 to 3,982,661,664,768,000 would take you about three hundred seventy-nine million, nine hundred eight thousand, nine hundred sixty-five 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 3982661664768000 cubic inches would be around 13209.2 feet tall.
Recreational maths with 3982661664768000
- 3982661664768000 backwards is 0008674661662893
- 3982661664768000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 3982661664768000's digits is 72
- More coming soon!
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"Number 3982661664768000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 3982661664768000 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/3982661664768000/
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The information we have on file for 3982661664768000 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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