3979984968960
3,979,984,968,960 is an even composite number composed of eight prime numbers multiplied together.
What does the number 3979984968960 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3456 divisors.
3979984968960 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 3979984968960:
28 × 3 × 5 × 73 × 112 × 13 × 17 × 113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 11 × 11 × 13 × 17 × 113)See below for interesting mathematical facts about the number 3979984968960 from the Numbermatics database.
Names of 3979984968960
- Cardinal: 3979984968960 can be written as Three trillion, nine hundred seventy-nine billion, nine hundred eighty-four million, nine hundred sixty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 3.97998496896 × 1012
Factors of 3979984968960
Divisors of 3979984968960
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 20 21 22 24 26 28 30 32 33 34 35 39 40 42 44 48 49 51 52 55 56 60 64 65 66 68 70 77 78 80 84 85 88 91 96 98 102 104 105 110 112 113 119 120 121 128 130 132 136 140 143 147 154 156 160 165 168 170 176 182 187 192 195 196 204 208 210 220 221 224 226 231 238 240 242 245 255 256 260 264 272 273 280 286 294 308 312 320 330 336 339 340 343 352 357 363 364 374 384 385 390 392 408 416 420 429 440 442 448 452 455 462 476 480 484 490 510 520 528 539 544 546 560 561 565 572 588 595 605 616 624 637 640 660 663 672 678 680 686 704 714 715 726 728 735 748 768 770 780 784 791 816 832 833 840 847 858 880 884 896 904 910 924 935 952 960 968 980 1001 1020 1029 1040 1056 1078 1088 1092 1105 1120 1122 1130 1144 1155 1176 1190 1210 1232 1243 1248 1274 1280 1309 1320 1326 1344 1356 1360 1365 1372 1408 1428 1430 1452 1456 1469 1470 1496 1540 1547 1560 1568 1573 1582 1617 1632 1664 1666 1680 1694 1695 1715 1716 1760 1768 1785 1792 1808 1815 1820 1848 1870 1904 1911 1920 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20306045760 20410179328 20729088380 21283342080 21868049280 22613550960 23411676288 23690386720 24121121024 24874906056 25512724160 25844058240 27074727680 27832062720 28428464064 29264595360 30151401280 30615268992 31093632570 32892437760 33166541408 33445251840 35221105920 35535580080 36181681536 37904618752 38269086240 39019460480 40612091520 41458176760 43736098560 45227101920 46823352576 47380773440 49749812112 51025448320 51688116480 56856928128 58529190720 60302802560 61230537984 62187265140 66333082816 71071160160 72363363072 76538172480 78038920960 81224183040 82916353520 90454203840 94761546880 99499624224 102050896640 113713856256 117058381440 120605605120 124374530280 132666165632 142142320320 153076344960 165832707040 180908407680 189523093760 198999248448 234116762880 248749060560 265332331264 284284640640 306152689920 331665414080 361816815360 397998496896 497498121120 568569281280 663330828160 795996993792 994996242240 1326661656320 1989992484480 3979984968960
- Sum of all divisors σ(n): 18743434214400
- Sum of proper divisors (its aliquot sum) s(n): 14763449245440
- 3979984968960 is an abundant number, because the sum of its proper divisors (14763449245440) is greater than itself. Its abundance is 10783464276480
Bases of 3979984968960
- Binary: 1110011110101010011001011100011101000000002
- Hexadecimal: 0x39EA9971D00
- Base-36: 1ESDOAGAO
Squares and roots of 3979984968960
- 3979984968960 squared (39799849689602) is 15840280353147532163481600
- 3979984968960 cubed (39799849689603) is 63044077709639578635974917421531136000
-
The
square root of 3979984968960 is 1994989.9671326671 -
The
cube root of 3979984968960 is 15847.4896679597
Scales and comparisons
How big is 3979984968960?- 3,979,984,968,960 seconds is equal to 126,551 years, 10 weeks, 6 days, 20 hours, 16 minutes.
-
To count from 1 to 3,979,984,968,960 would take you about three hundred sixteen thousand, three hundred seventy-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 3979984968960 cubic inches would be around 1320.6 feet tall.
Recreational maths with 3979984968960
- 3979984968960 backwards is 0698694899793
- The number of decimal digits it has is: 13
- The sum of 3979984968960's digits is 87
- More coming soon!
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Cite this page
MLA style:
"Number 3979984968960 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
APA style:
Numbermatics. (2024). Number 3979984968960 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/3979984968960/
Chicago style:
Numbermatics. 2024. "Number 3979984968960 - Facts about the integer". https://numbermatics.com/n/3979984968960/
The information we have on file for 3979984968960 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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