401980320
401,980,320 is an even composite number composed of five prime numbers multiplied together.
401980320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 401980320:
25 × 35 × 5 × 72 × 211
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 211)See below for interesting mathematical facts about the number 401980320 from the Numbermatics database.
Names of 401980320
- Cardinal: 401980320 can be written as Four hundred one million, nine hundred eighty thousand, three hundred twenty.
Scientific notation
- Scientific notation: 4.0198032 × 108
Factors of 401980320
Divisors of 401980320
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 49 54 56 60 63 70 72 80 81 84 90 96 98 105 108 112 120 126 135 140 144 147 160 162 168 180 189 196 210 211 216 224 240 243 245 252 270 280 288 294 315 324 336 360 378 392 405 420 422 432 441 480 486 490 504 540 560 567 588 630 633 648 672 720 735 756 784 810 840 844 864 882 945 972 980 1008 1055 1080 1120 1134 1176 1215 1260 1266 1296 1323 1440 1470 1477 1512 1568 1620 1680 1688 1701 1764 1890 1899 1944 1960 2016 2110 2160 2205 2268 2352 2430 2520 2532 2592 2646 2835 2940 2954 3024 3165 3240 3360 3376 3402 3528 3780 3798 3888 3920 3969 4220 4320 4410 4431 4536 4704 4860 5040 5064 5292 5670 5697 5880 5908 6048 6330 6480 6615 6752 6804 7056 7385 7560 7596 7776 7840 7938 8440 8505 8820 8862 9072 9495 9720 10080 10128 10339 10584 11340 11394 11760 11816 11907 12660 12960 13230 13293 13608 14112 14770 15120 15192 15876 16880 17010 17091 17640 17724 18144 18990 19440 19845 20256 20678 21168 22155 22680 22788 23520 23632 23814 25320 26460 26586 27216 28485 29540 30240 30384 31017 31752 33760 34020 34182 35280 35448 37980 38880 39690 39879 41356 42336 44310 45360 45576 47264 47628 50640 51273 51695 52920 53172 54432 56970 59080 59535 60768 62034 63504 66465 68040 68364 70560 70896 75960 79380 79758 82712 85455 88620 90720 91152 93051 95256 101280 102546 103390 105840 106344 113940 118160 119070 119637 124068 127008 132930 136080 136728 141792 151920 155085 158760 159516 165424 170910 177240 182304 186102 190512 199395 205092 206780 211680 212688 227880 236320 238140 239274 248136 256365 265860 272160 273456 279153 303840 310170 317520 319032 330848 341820 354480 358911 372204 381024 398790 410184 413560 425376 455760 465255 476280 478548 496272 512730 531720 546912 558306 598185 620340 635040 638064 683640 708960 717822 744408 797580 820368 827120 837459 911520 930510 952560 957096 992544 1025460 1063440 1116612 1196370 1240680 1276128 1367280 1395765 1435644 1488816 1595160 1640736 1654240 1674918 1794555 1861020 1905120 1914192 2050920 2126880 2233224 2392740 2481360 2512377 2734560 2791530 2871288 2977632 3190320 3349836 3589110 3722040 3828384 4101840 4187295 4466448 4785480 4962720 5024754 5583060 5742576 6380640 6699672 7178220 7444080 8203680 8374590 8932896 9570960 10049508 11166120 11485152 12561885 13399344 14356440 14888160 16749180 19141920 20099016 22332240 25123770 26798688 28712880 33498360 40198032 44664480 50247540 57425760 66996720 80396064 100495080 133993440 200990160 401980320
- Sum of all divisors σ(n): 1662661728
- Sum of proper divisors (its aliquot sum) s(n): 1260681408
- 401980320 is an abundant number, because the sum of its proper divisors (1260681408) is greater than itself. Its abundance is 858701088
Bases of 401980320
- Binary: 101111111010110111011101000002
- Hexadecimal: 0x17F5BBA0
- Base-36: 6NBU00
Squares and roots of 401980320
- 401980320 squared (4019803202) is 161588177667302400
- 401980320 cubed (4019803203) is 64955267366919072288768000
-
The
square root of 401980320 is 20049.4468751635 -
The
cube root of 401980320 is 738.0202255017
Scales and comparisons
How big is 401980320?- 401,980,320 seconds is equal to 12 years, 40 weeks, 4 days, 13 hours, 12 minutes.
-
To count from 1 to 401,980,320 would take you about nineteen 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 401980320 cubic inches would be around 61.5 feet tall.
Recreational maths with 401980320
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