480630150
480,630,150 is an even composite number composed of seven prime numbers multiplied together.
480630150 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 480630150:
2 × 32 × 52 × 7 × 112 × 13 × 97
(2 × 3 × 3 × 5 × 5 × 7 × 11 × 11 × 13 × 97)See below for interesting mathematical facts about the number 480630150 from the Numbermatics database.
Names of 480630150
- Cardinal: 480630150 can be written as Four hundred eighty million, six hundred thirty thousand, one hundred fifty.
Scientific notation
- Scientific notation: 4.8063015 × 108
Factors of 480630150
Divisors of 480630150
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 5 6 7 9 10 11 13 14 15 18 21 22 25 26 30 33 35 39 42 45 50 55 63 65 66 70 75 77 78 90 91 97 99 105 110 117 121 126 130 143 150 154 165 175 182 194 195 198 210 225 231 234 242 273 275 286 291 315 325 330 350 363 385 390 429 450 455 462 485 495 525 546 550 582 585 605 630 650 679 693 715 726 770 819 825 847 858 873 910 970 975 990 1001 1050 1067 1089 1155 1170 1210 1261 1287 1358 1365 1386 1430 1455 1573 1575 1638 1650 1694 1746 1815 1925 1950 2002 2037 2134 2145 2178 2275 2310 2425 2475 2522 2541 2574 2730 2910 2925 3003 3025 3146 3150 3201 3395 3465 3575 3630 3783 3850 4074 4095 4235 4290 4365 4550 4719 4850 4950 5005 5082 5335 5445 5775 5850 6006 6050 6111 6305 6402 6435 6790 6825 6930 7150 7275 7469 7566 7623 7865 8190 8470 8730 8827 9009 9075 9438 9603 10010 10185 10670 10725 10890 11011 11349 11550 11737 12222 12610 12705 12870 13650 13871 14157 14550 14938 15015 15246 15730 16005 16975 17325 17654 18018 18150 18915 19206 20370 20475 21175 21450 21825 22022 22407 22698 23474 23595 25025 25410 26481 26675 27225 27742 28314 30030 30555 31525 32010 32175 33033 33950 34650 35211 37345 37830 38115 39325 40950 41613 42350 43650 44135 44814 45045 47190 48015 50050 50925 52962 53350 54450 55055 56745 58685 61110 63050 63525 64350 66066 67221 69355 70422 70785 74690 75075 76230 78650 79443 80025 82159 83226 88270 90090 94575 96030 97097 99099 101850 105633 110110 112035 113490 117370 117975 124839 127050 132405 134442 138710 141570 150150 152581 152775 158886 160050 164318 165165 176055 186725 189150 190575 194194 198198 208065 211266 220675 224070 225225 235950 240075 246477 249678 264810 275275 283725 291291 293425 305162 305550 330330 336105 346775 352110 353925 373450 381150 397215 410795 416130 441350 450450 457743 480150 485485 492954 495495 528165 550550 560175 567450 582582 586850 624195 662025 672210 693550 707850 739431 762905 794430 821590 825825 873873 880275 915486 970970 990990 1040325 1056330 1068067 1120350 1232385 1248390 1324050 1373229 1456455 1478862 1525810 1651650 1680525 1747746 1760550 1986075 2053975 2080650 2136134 2288715 2427425 2464770 2477475 2640825 2746458 2912910 3120975 3204201 3361050 3697155 3814525 3972150 4107950 4369365 4577430 4854850 4954950 5281650 5340335 6161925 6241950 6408402 6866145 7282275 7394310 7629050 8738730 9612603 10680670 11443575 12323850 13732290 14564550 16021005 18485775 19225206 21846825 22887150 26701675 32042010 34330725 36971550 43693650 48063015 53403350 68661450 80105025 96126030 160210050 240315075 480630150
- Sum of all divisors σ(n): 1764907872
- Sum of proper divisors (its aliquot sum) s(n): 1284277722
- 480630150 is an abundant number, because the sum of its proper divisors (1284277722) is greater than itself. Its abundance is 803647572
Bases of 480630150
- Binary: 111001010010111010101100001102
- Hexadecimal: 0x1CA5D586
- Base-36: 7Y5KLI
Squares and roots of 480630150
- 480630150 squared (4806301502) is 231005341089022500
- 480630150 cubed (4806301503) is 111028131738418047528375000
-
The
square root of 480630150 is 21923.2787237675 -
The
cube root of 480630150 is 783.3160108839
Scales and comparisons
How big is 480630150?- 480,630,150 seconds is equal to 15 years, 14 weeks, 4 days, 20 hours, 22 minutes, 30 seconds.
-
To count from 1 to 480,630,150 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 480630150 cubic inches would be around 65.3 feet tall.
Recreational maths with 480630150
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