406401120
406,401,120 is an even composite number composed of five prime numbers multiplied together.
406401120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 406401120:
25 × 32 × 5 × 367 × 769
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 367 × 769)See below for interesting mathematical facts about the number 406401120 from the Numbermatics database.
Names of 406401120
- Cardinal: 406401120 can be written as Four hundred six million, four hundred one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.0640112 × 108
Factors of 406401120
Divisors of 406401120
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 367 480 720 734 769 1101 1440 1468 1538 1835 2202 2307 2936 3076 3303 3670 3845 4404 4614 5505 5872 6152 6606 6921 7340 7690 8808 9228 11010 11535 11744 12304 13212 13842 14680 15380 16515 17616 18456 22020 23070 24608 26424 27684 29360 30760 33030 34605 35232 36912 44040 46140 52848 55368 58720 61520 66060 69210 73824 88080 92280 105696 110736 123040 132120 138420 176160 184560 221472 264240 276840 282223 369120 528480 553680 564446 846669 1107360 1128892 1411115 1693338 2257784 2540007 2822230 3386676 4233345 4515568 5080014 5644460 6773352 8466690 9031136 10160028 11288920 12700035 13546704 16933380 20320056 22577840 25400070 27093408 33866760 40640112 45155680 50800140 67733520 81280224 101600280 135467040 203200560 406401120
- Sum of all divisors σ(n): 1392431040
- Sum of proper divisors (its aliquot sum) s(n): 986029920
- 406401120 is an abundant number, because the sum of its proper divisors (986029920) is greater than itself. Its abundance is 579628800
Bases of 406401120
- Binary: 110000011100100110000011000002
- Hexadecimal: 0x18393060
- Base-36: 6PYL40
Squares and roots of 406401120
- 406401120 squared (4064011202) is 165161870337254400
- 406401120 cubed (4064011203) is 67121969086354965884928000
-
The
square root of 406401120 is 20159.3928480003 -
The
cube root of 406401120 is 740.7158400565
Scales and comparisons
How big is 406401120?- 406,401,120 seconds is equal to 12 years, 47 weeks, 6 days, 17 hours, 12 minutes.
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To count from 1 to 406,401,120 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 406401120 cubic inches would be around 61.7 feet tall.
Recreational maths with 406401120
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