381478920
381,478,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 381478920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 128 divisors.
381478920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 381478920:
23 × 3 × 5 × 23 × 89 × 1553
(2 × 2 × 2 × 3 × 5 × 23 × 89 × 1553)See below for interesting mathematical facts about the number 381478920 from the Numbermatics database.
Names of 381478920
- Cardinal: 381478920 can be written as Three hundred eighty-one million, four hundred seventy-eight thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.8147892 × 108
Factors of 381478920
Divisors of 381478920
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 89 92 115 120 138 178 184 230 267 276 345 356 445 460 534 552 690 712 890 920 1068 1335 1380 1553 1780 2047 2136 2670 2760 3106 3560 4094 4659 5340 6141 6212 7765 8188 9318 10235 10680 12282 12424 15530 16376 18636 20470 23295 24564 30705 31060 35719 37272 40940 46590 49128 61410 62120 71438 81880 93180 107157 122820 138217 142876 178595 186360 214314 245640 276434 285752 357190 414651 428628 535785 552868 691085 714380 829302 857256 1071570 1105736 1382170 1428760 1658604 2073255 2143140 2764340 3178991 3317208 4146510 4286280 5528680 6357982 8293020 9536973 12715964 15894955 16586040 19073946 25431928 31789910 38147892 47684865 63579820 76295784 95369730 127159640 190739460 381478920
- Sum of all divisors σ(n): 1208390400
- Sum of proper divisors (its aliquot sum) s(n): 826911480
- 381478920 is an abundant number, because the sum of its proper divisors (826911480) is greater than itself. Its abundance is 445432560
Bases of 381478920
- Binary: 101101011110011101000000010002
- Hexadecimal: 0x16BCE808
- Base-36: 6B4F0O
Squares and roots of 381478920
- 381478920 squared (3814789202) is 145526166404366400
- 381478920 cubed (3814789203) is 55515164791677977556288000
-
The
square root of 381478920 is 19531.4853505821 -
The
cube root of 381478920 is 725.2540813771
Scales and comparisons
How big is 381478920?- 381,478,920 seconds is equal to 12 years, 6 weeks, 5 days, 6 hours, 22 minutes.
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To count from 1 to 381,478,920 would take you about eighteen 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 381478920 cubic inches would be around 60.4 feet tall.
Recreational maths with 381478920
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