830481120
830,481,120 is an even composite number composed of six prime numbers multiplied together.
830481120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 830481120:
25 × 33 × 5 × 7 × 29 × 947
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 29 × 947)See below for interesting mathematical facts about the number 830481120 from the Numbermatics database.
Names of 830481120
- Cardinal: 830481120 can be written as Eight hundred thirty million, four hundred eighty-one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 8.3048112 × 108
Factors of 830481120
Divisors of 830481120
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 29 30 32 35 36 40 42 45 48 54 56 58 60 63 70 72 80 84 87 90 96 105 108 112 116 120 126 135 140 144 145 160 168 174 180 189 203 210 216 224 232 240 252 261 270 280 288 290 315 336 348 360 378 406 420 432 435 464 480 504 522 540 560 580 609 630 672 696 720 756 783 812 840 864 870 928 945 947 1008 1015 1044 1080 1120 1160 1218 1260 1305 1392 1440 1512 1566 1624 1680 1740 1827 1890 1894 2016 2030 2088 2160 2320 2436 2520 2610 2784 2841 3024 3045 3132 3248 3360 3480 3654 3780 3788 3915 4060 4176 4320 4640 4735 4872 5040 5220 5481 5682 6048 6090 6264 6496 6629 6960 7308 7560 7576 7830 8120 8352 8523 9135 9470 9744 10080 10440 10962 11364 12180 12528 13258 13920 14205 14616 15120 15152 15660 16240 17046 18270 18940 19488 19887 20880 21924 22728 24360 25056 25569 26516 27405 27463 28410 29232 30240 30304 31320 32480 33145 34092 36540 37880 39774 41760 42615 43848 45456 48720 51138 53032 54810 54926 56820 58464 59661 62640 66290 68184 73080 75760 79548 82389 85230 87696 90912 97440 99435 102276 106064 109620 109852 113640 119322 125280 127845 132580 136368 137315 146160 151520 159096 164778 170460 175392 178983 192241 198870 204552 212128 219240 219704 227280 238644 247167 255690 265160 272736 274630 292320 298305 318192 329556 340920 357966 384482 397740 409104 411945 438480 439408 454560 477288 494334 511380 530320 549260 576723 596610 636384 659112 681840 715932 741501 768964 795480 818208 823890 876960 878816 894915 954576 961205 988668 1022760 1060640 1098520 1153446 1193220 1235835 1318224 1363680 1431864 1483002 1537928 1590960 1647780 1730169 1789830 1909152 1922410 1977336 2045520 2197040 2306892 2386440 2471670 2636448 2863728 2883615 2966004 3075856 3181920 3295560 3460338 3579660 3707505 3844820 3954672 4091040 4394080 4613784 4772880 4943340 5190507 5727456 5767230 5932008 6151712 6591120 6920676 7159320 7415010 7689640 7909344 8650845 9227568 9545760 9886680 10381014 11534460 11864016 13182240 13841352 14318640 14830020 15379280 17301690 18455136 19773360 20762028 23068920 23728032 25952535 27682704 28637280 29660040 30758560 34603380 39546720 41524056 46137840 51905070 55365408 59320080 69206760 83048112 92275680 103810140 118640160 138413520 166096224 207620280 276827040 415240560 830481120
- Sum of all divisors σ(n): 3440102400
- Sum of proper divisors (its aliquot sum) s(n): 2609621280
- 830481120 is an abundant number, because the sum of its proper divisors (2609621280) is greater than itself. Its abundance is 1779140160
Bases of 830481120
- Binary: 1100011000000000100010111000002
- Hexadecimal: 0x318022E0
- Base-36: DQG3C0
Squares and roots of 830481120
- 830481120 squared (8304811202) is 689698890676454400
- 830481120 cubed (8304811203) is 572781907191739407740928000
-
The
square root of 830481120 is 28818.0693315843 -
The
cube root of 830481120 is 939.9611874725
Scales and comparisons
How big is 830481120?- 830,481,120 seconds is equal to 26 years, 21 weeks, 1 day, 1 hour, 12 minutes.
-
To count from 1 to 830,481,120 would take you about thirty-nine 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 830481120 cubic inches would be around 78.3 feet tall.
Recreational maths with 830481120
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