472047120
472,047,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 472047120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 240 divisors.
472047120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 472047120:
24 × 32 × 5 × 43 × 79 × 193
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 43 × 79 × 193)See below for interesting mathematical facts about the number 472047120 from the Numbermatics database.
Names of 472047120
- Cardinal: 472047120 can be written as Four hundred seventy-two million, forty-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.7204712 × 108
Factors of 472047120
Divisors of 472047120
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 43 45 48 60 72 79 80 86 90 120 129 144 158 172 180 193 215 237 240 258 316 344 360 386 387 395 430 474 516 579 632 645 688 711 720 772 774 790 860 948 965 1032 1158 1185 1264 1290 1422 1544 1548 1580 1720 1737 1896 1930 1935 2064 2316 2370 2580 2844 2895 3088 3096 3160 3397 3440 3474 3555 3792 3860 3870 4632 4740 5160 5688 5790 6192 6320 6794 6948 7110 7720 7740 8299 8685 9264 9480 10191 10320 11376 11580 13588 13896 14220 15247 15440 15480 16598 16985 17370 18960 20382 23160 24897 27176 27792 28440 30494 30573 30960 33196 33970 34740 40764 41495 45741 46320 49794 50955 54352 56880 60988 61146 66392 67940 69480 74691 76235 81528 82990 91482 99588 101910 121976 122292 124485 132784 135880 137223 138960 149382 152470 152865 163056 165980 182964 199176 203820 228705 243952 244584 248970 271760 274446 298764 304940 305730 331960 365928 373455 398352 407640 457410 489168 497940 548892 597528 609880 611460 655621 663920 686115 731856 746910 815280 914820 995880 1097784 1195056 1219760 1222920 1311242 1372230 1493820 1829640 1966863 1991760 2195568 2445840 2622484 2744460 2987640 3278105 3659280 3933726 5244968 5488920 5900589 5975280 6556210 7867452 9834315 10489936 10977840 11801178 13112420 15734904 19668630 23602356 26224840 29502945 31469808 39337260 47204712 52449680 59005890 78674520 94409424 118011780 157349040 236023560 472047120
- Sum of all divisors σ(n): 1651203840
- Sum of proper divisors (its aliquot sum) s(n): 1179156720
- 472047120 is an abundant number, because the sum of its proper divisors (1179156720) is greater than itself. Its abundance is 707109600
Bases of 472047120
- Binary: 111000010001011011110000100002
- Hexadecimal: 0x1C22DE10
- Base-36: 7T1LW0
Squares and roots of 472047120
- 472047120 squared (4720471202) is 222828483500294400
- 472047120 cubed (4720471203) is 105185543890281490672128000
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The
square root of 472047120 is 21726.6453922367 -
The
cube root of 472047120 is 778.6251916333
Scales and comparisons
How big is 472047120?- 472,047,120 seconds is equal to 15 years, 3 days, 12 hours, 12 minutes.
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To count from 1 to 472,047,120 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 472047120 cubic inches would be around 64.9 feet tall.
Recreational maths with 472047120
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