470428640
470,428,640 is an even composite number composed of four prime numbers multiplied together.
470428640 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 470428640:
25 × 5 × 113 × 472
(2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 11 × 47 × 47)See below for interesting mathematical facts about the number 470428640 from the Numbermatics database.
Names of 470428640
- Cardinal: 470428640 can be written as Four hundred seventy million, four hundred twenty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.7042864 × 108
Factors of 470428640
Divisors of 470428640
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 32 40 44 47 55 80 88 94 110 121 160 176 188 220 235 242 352 376 440 470 484 517 605 752 880 940 968 1034 1210 1331 1504 1760 1880 1936 2068 2209 2420 2585 2662 3760 3872 4136 4418 4840 5170 5324 5687 6655 7520 8272 8836 9680 10340 10648 11045 11374 13310 16544 17672 19360 20680 21296 22090 22748 24299 26620 28435 35344 41360 42592 44180 45496 48598 53240 56870 62557 70688 82720 88360 90992 97196 106480 113740 121495 125114 176720 181984 194392 212960 227480 242990 250228 267289 312785 353440 388784 454960 485980 500456 534578 625570 777568 909920 971960 1000912 1069156 1251140 1336445 1943920 2001824 2138312 2502280 2672890 2940179 3887840 4276624 5004560 5345780 5880358 8553248 10009120 10691560 11760716 14700895 21383120 23521432 29401790 42766240 47042864 58803580 94085728 117607160 235214320 470428640
- Sum of all divisors σ(n): 1249005744
- Sum of proper divisors (its aliquot sum) s(n): 778577104
- 470428640 is an abundant number, because the sum of its proper divisors (778577104) is greater than itself. Its abundance is 308148464
Bases of 470428640
- Binary: 111000000101000101011111000002
- Hexadecimal: 0x1C0A2BE0
- Base-36: 7S2X28
Squares and roots of 470428640
- 470428640 squared (4704286402) is 221303105332249600
- 470428640 cubed (4704286403) is 104107318869226927468544000
-
The
square root of 470428640 is 21689.3669801587 -
The
cube root of 470428640 is 777.7342973123
Scales and comparisons
How big is 470428640?- 470,428,640 seconds is equal to 14 years, 49 weeks, 5 days, 18 hours, 37 minutes, 20 seconds.
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To count from 1 to 470,428,640 would take you about twenty-two 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 470428640 cubic inches would be around 64.8 feet tall.
Recreational maths with 470428640
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