450129960
450,129,960 is an even composite number composed of six prime numbers multiplied together.
What does the number 450129960 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 320 divisors.
450129960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 450129960:
23 × 34 × 5 × 7 × 89 × 223
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 89 × 223)See below for interesting mathematical facts about the number 450129960 from the Numbermatics database.
Names of 450129960
- Cardinal: 450129960 can be written as Four hundred fifty million, one hundred twenty-nine thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.5012996 × 108
Factors of 450129960
Divisors of 450129960
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 89 90 105 108 120 126 135 140 162 168 178 180 189 210 216 223 252 267 270 280 315 324 356 360 378 405 420 445 446 504 534 540 567 623 630 648 669 712 756 801 810 840 890 892 945 1068 1080 1115 1134 1246 1260 1335 1338 1512 1561 1602 1620 1780 1784 1869 1890 2007 2136 2230 2268 2403 2492 2520 2670 2676 2835 3115 3122 3204 3240 3345 3560 3738 3780 4005 4014 4460 4536 4683 4806 4984 5340 5352 5607 5670 6021 6230 6244 6408 6690 7209 7476 7560 7805 8010 8028 8920 9345 9366 9612 10035 10680 11214 11340 12015 12042 12460 12488 13380 14049 14418 14952 15610 16020 16056 16821 18063 18690 18732 19224 19847 20070 22428 22680 23415 24030 24084 24920 26760 28035 28098 28836 30105 31220 32040 33642 36045 36126 37380 37464 39694 40140 42147 44856 46830 48060 48168 50463 56070 56196 57672 59541 60210 62440 67284 70245 72090 72252 74760 79388 80280 84105 84294 90315 93660 96120 99235 100926 112140 112392 119082 120420 126441 134568 138929 140490 144180 144504 158776 168210 168588 178623 180630 187320 198470 201852 210735 224280 238164 240840 252315 252882 277858 280980 288360 297705 336420 337176 357246 361260 396940 403704 416787 421470 476328 504630 505764 535869 555716 561960 595410 632205 672840 694645 714492 722520 793880 833574 842940 893115 1009260 1011528 1071738 1111432 1190820 1250361 1264410 1389290 1428984 1607607 1667148 1685880 1786230 2018520 2083935 2143476 2381640 2500722 2528820 2679345 2778580 3215214 3334296 3572460 3751083 4167870 4286952 5001444 5057640 5358690 5557160 6251805 6430428 7144920 7502166 8038035 8335740 10002888 10717380 11253249 12503610 12860856 15004332 16076070 16671480 18755415 21434760 22506498 25007220 30008664 32152140 37510830 45012996 50014440 56266245 64304280 75021660 90025992 112532490 150043320 225064980 450129960
- Sum of all divisors σ(n): 1756339200
- Sum of proper divisors (its aliquot sum) s(n): 1306209240
- 450129960 is an abundant number, because the sum of its proper divisors (1306209240) is greater than itself. Its abundance is 856079280
Bases of 450129960
- Binary: 110101101010001110000001010002
- Hexadecimal: 0x1AD47028
- Base-36: 7FZUI0
Squares and roots of 450129960
- 450129960 squared (4501299602) is 202616980889601600
- 450129960 cubed (4501299603) is 91203973503157132623936000
-
The
square root of 450129960 is 21216.2664010423 -
The
cube root of 450129960 is 766.3831953477
Scales and comparisons
How big is 450129960?- 450,129,960 seconds is equal to 14 years, 16 weeks, 1 day, 20 hours, 6 minutes.
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To count from 1 to 450,129,960 would take you about twenty-one 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 450129960 cubic inches would be around 63.9 feet tall.
Recreational maths with 450129960
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