513349980
513,349,980 is an even composite number composed of eight prime numbers multiplied together.
513349980 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 513349980:
22 × 3 × 5 × 11 × 13 × 19 × 47 × 67
(2 × 2 × 3 × 5 × 11 × 13 × 19 × 47 × 67)See below for interesting mathematical facts about the number 513349980 from the Numbermatics database.
Names of 513349980
- Cardinal: 513349980 can be written as Five hundred thirteen million, three hundred forty-nine thousand, nine hundred eighty.
Scientific notation
- Scientific notation: 5.1334998 × 108
Factors of 513349980
Divisors of 513349980
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 10 11 12 13 15 19 20 22 26 30 33 38 39 44 47 52 55 57 60 65 66 67 76 78 94 95 110 114 130 132 134 141 143 156 165 188 190 195 201 209 220 228 235 247 260 268 282 285 286 330 335 380 390 402 418 429 470 494 517 564 570 572 611 627 660 670 705 715 737 741 780 804 836 858 871 893 940 988 1005 1034 1045 1140 1222 1235 1254 1273 1340 1410 1430 1474 1482 1551 1716 1742 1786 1833 2010 2068 2090 2145 2211 2444 2470 2508 2546 2585 2613 2679 2717 2820 2860 2948 2964 3055 3102 3135 3149 3484 3572 3666 3685 3705 3819 4020 4180 4290 4355 4422 4465 4940 5092 5170 5226 5358 5434 6110 6204 6270 6298 6365 6721 7332 7370 7410 7638 7755 8151 8580 8710 8844 8930 9165 9447 9581 9823 10340 10452 10716 10868 11055 11609 12220 12540 12596 12730 13065 13395 13442 13585 14003 14740 14820 15276 15510 15745 16302 16549 17420 17860 18330 18894 19095 19162 19646 20163 22110 23218 25460 26130 26790 26884 27170 28006 28743 29469 31020 31490 32604 33098 33605 34639 34827 36660 37788 38190 38324 39292 40326 40755 40937 42009 44220 46436 47235 47905 49115 49647 52260 53580 54340 56012 57486 58045 58938 59831 62980 66196 67210 69278 69654 70015 76380 80652 81510 81874 82745 84018 94470 95810 98230 99294 100815 103917 114972 116090 117876 119662 122811 127699 134420 138556 139308 140030 143715 147345 163020 163748 165490 168036 173195 174135 179493 182039 188940 191620 196460 198588 201630 204685 207834 210045 232180 239324 245622 248235 255398 280060 287430 294690 299155 330980 346390 348270 358986 364078 383097 403260 409370 415668 420090 450307 491244 496470 510796 519585 546117 574860 589380 598310 614055 638495 658141 692780 696540 717972 728156 766194 777803 818740 840180 897465 900614 910195 992940 1039170 1092234 1196620 1228110 1276990 1316282 1350921 1532388 1555606 1794930 1801228 1820390 1915485 1974423 2078340 2184468 2251535 2333409 2456220 2553980 2632564 2701842 2730585 3111212 3290705 3589860 3640780 3830970 3889015 3948846 4503070 4666818 5403684 5461170 6581410 6754605 7661940 7778030 7897692 8555833 9006140 9333636 9872115 10922340 11667045 13162820 13509210 15556060 17111666 19744230 23334090 25667499 27018420 34223332 39488460 42779165 46668180 51334998 85558330 102669996 128337495 171116660 256674990 513349980
- Sum of all divisors σ(n): 1842462720
- Sum of proper divisors (its aliquot sum) s(n): 1329112740
- 513349980 is an abundant number, because the sum of its proper divisors (1329112740) is greater than itself. Its abundance is 815762760
Bases of 513349980
- Binary: 111101001100100011001010111002
- Hexadecimal: 0x1E99195C
- Base-36: 8HMVDO
Squares and roots of 513349980
- 513349980 squared (5133499802) is 263528201966000400
- 513349980 cubed (5133499803) is 135282197208682266019992000
-
The
square root of 513349980 is 22657.2279857885 -
The
cube root of 513349980 is 800.7024975243
Scales and comparisons
How big is 513349980?- 513,349,980 seconds is equal to 16 years, 16 weeks, 5 days, 13 hours, 13 minutes.
-
To count from 1 to 513,349,980 would take you about twenty-four 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 513349980 cubic inches would be around 66.7 feet tall.
Recreational maths with 513349980
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