401380200
401,380,200 is an even composite number composed of six prime numbers multiplied together.
401380200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 401380200:
23 × 32 × 52 × 13 × 17 × 1009
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 17 × 1009)See below for interesting mathematical facts about the number 401380200 from the Numbermatics database.
Names of 401380200
- Cardinal: 401380200 can be written as Four hundred one million, three hundred eighty thousand, two hundred.
Scientific notation
- Scientific notation: 4.013802 × 108
Factors of 401380200
Divisors of 401380200
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 17 18 20 24 25 26 30 34 36 39 40 45 50 51 52 60 65 68 72 75 78 85 90 100 102 104 117 120 130 136 150 153 156 170 180 195 200 204 221 225 234 255 260 300 306 312 325 340 360 390 408 425 442 450 468 510 520 585 600 612 650 663 680 765 780 850 884 900 936 975 1009 1020 1105 1170 1224 1275 1300 1326 1530 1560 1700 1768 1800 1950 1989 2018 2040 2210 2340 2550 2600 2652 2925 3027 3060 3315 3400 3825 3900 3978 4036 4420 4680 5045 5100 5304 5525 5850 6054 6120 6630 7650 7800 7956 8072 8840 9081 9945 10090 10200 11050 11700 12108 13117 13260 15135 15300 15912 16575 17153 18162 19890 20180 22100 23400 24216 25225 26234 26520 30270 30600 33150 34306 36324 39351 39780 40360 44200 45405 49725 50450 51459 52468 60540 65585 66300 68612 72648 75675 78702 79560 85765 90810 99450 100900 102918 104936 118053 121080 131170 132600 137224 151350 154377 157404 171530 181620 196755 198900 201800 205836 222989 227025 236106 257295 262340 302700 308754 314808 327925 343060 363240 393510 397800 411672 428825 445978 454050 472212 514590 524680 590265 605400 617508 655850 668967 686120 771885 787020 857650 891956 908100 944424 983775 1029180 1114945 1180530 1235016 1286475 1311700 1337934 1543770 1574040 1715300 1783912 1816200 1967550 2006901 2058360 2229890 2361060 2572950 2623400 2675868 2951325 3087540 3344835 3430600 3859425 3935100 4013802 4459780 4722120 5145900 5351736 5574725 5902650 6175080 6689670 7718850 7870200 8027604 8919560 10034505 10291800 11149450 11805300 13379340 15437700 16055208 16724175 20069010 22298900 23610600 26758680 30875400 33448350 40138020 44597800 50172525 66896700 80276040 100345050 133793400 200690100 401380200
- Sum of all divisors σ(n): 1538573400
- Sum of proper divisors (its aliquot sum) s(n): 1137193200
- 401380200 is an abundant number, because the sum of its proper divisors (1137193200) is greater than itself. Its abundance is 735813000
Bases of 401380200
- Binary: 101111110110010010011011010002
- Hexadecimal: 0x17EC9368
- Base-36: 6MYYY0
Squares and roots of 401380200
- 401380200 squared (4013802002) is 161106064952040000
- 401380200 cubed (4013802003) is 64664784571662805608000000
-
The
square root of 401380200 is 20034.4752863657 -
The
cube root of 401380200 is 737.6527769291
Scales and comparisons
How big is 401380200?- 401,380,200 seconds is equal to 12 years, 39 weeks, 4 days, 14 hours, 30 minutes.
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To count from 1 to 401,380,200 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 401380200 cubic inches would be around 61.5 feet tall.
Recreational maths with 401380200
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