130040820
130,040,820 is an even composite number composed of seven prime numbers multiplied together.
What does the number 130040820 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 288 divisors.
130040820 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 130040820:
22 × 32 × 5 × 7 × 13 × 17 × 467
(2 × 2 × 3 × 3 × 5 × 7 × 13 × 17 × 467)See below for interesting mathematical facts about the number 130040820 from the Numbermatics database.
Names of 130040820
- Cardinal: 130040820 can be written as One hundred thirty million, forty thousand, eight hundred twenty.
Scientific notation
- Scientific notation: 1.3004082 × 108
Factors of 130040820
Divisors of 130040820
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 13 14 15 17 18 20 21 26 28 30 34 35 36 39 42 45 51 52 60 63 65 68 70 78 84 85 90 91 102 105 117 119 126 130 140 153 156 170 180 182 195 204 210 221 234 238 252 255 260 273 306 315 340 357 364 390 420 442 455 467 468 476 510 546 585 595 612 630 663 714 765 780 819 884 910 934 1020 1071 1092 1105 1170 1190 1260 1326 1365 1401 1428 1530 1547 1638 1785 1820 1868 1989 2142 2210 2335 2340 2380 2652 2730 2802 3060 3094 3269 3276 3315 3570 3978 4095 4203 4284 4420 4641 4670 5355 5460 5604 6071 6188 6538 6630 7005 7140 7735 7939 7956 8190 8406 9282 9340 9807 9945 10710 12142 13076 13260 13923 14010 15470 15878 16345 16380 16812 18213 18564 19614 19890 21015 21420 23205 23817 24284 27846 28020 29421 30355 30940 31756 32690 36426 39228 39695 39780 42030 42497 46410 47634 49035 54639 55573 55692 58842 60710 65380 69615 71451 72852 79390 84060 84994 91065 92820 95268 98070 103207 109278 111146 117684 119085 121420 127491 139230 142902 147105 158780 166719 169988 182130 196140 206414 212485 218556 222292 238170 254982 273195 277865 278460 285804 294210 309621 333438 357255 364260 382473 412828 424970 476340 500157 509964 516035 546390 555730 588420 619242 637455 666876 714510 722449 764946 833595 849940 928863 1000314 1032070 1092780 1111460 1238484 1274910 1429020 1444898 1529892 1548105 1667190 1857726 1912365 2000628 2064140 2167347 2500785 2549820 2889796 3096210 3334380 3612245 3715452 3824730 4334694 4644315 5001570 6192420 6502041 7224490 7649460 8669388 9288630 10003140 10836735 13004082 14448980 18577260 21673470 26008164 32510205 43346940 65020410 130040820
- Sum of all divisors σ(n): 515144448
- Sum of proper divisors (its aliquot sum) s(n): 385103628
- 130040820 is an abundant number, because the sum of its proper divisors (385103628) is greater than itself. Its abundance is 255062808
Bases of 130040820
- Binary: 1111100000001000011111101002
- Hexadecimal: 0x7C043F4
- Base-36: 25F850
Squares and roots of 130040820
- 130040820 squared (1300408202) is 16910614866272400
- 130040820 cubed (1300408203) is 2199070223914253239368000
-
The
square root of 130040820 is 11403.5441859099 -
The
cube root of 130040820 is 506.6327183703
Scales and comparisons
How big is 130040820?- 130,040,820 seconds is equal to 4 years, 7 weeks, 2 hours, 27 minutes.
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To count from 1 to 130,040,820 would take you about six 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 130040820 cubic inches would be around 42.2 feet tall.
Recreational maths with 130040820
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