830229120
830,229,120 is an even composite number composed of six prime numbers multiplied together.
830229120 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 830229120:
27 × 32 × 5 × 7 × 59 × 349
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 59 × 349)See below for interesting mathematical facts about the number 830229120 from the Numbermatics database.
Names of 830229120
- Cardinal: 830229120 can be written as Eight hundred thirty million, two hundred twenty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 8.3022912 × 108
Factors of 830229120
Divisors of 830229120
- 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 28 30 32 35 36 40 42 45 48 56 59 60 63 64 70 72 80 84 90 96 105 112 118 120 126 128 140 144 160 168 177 180 192 210 224 236 240 252 280 288 295 315 320 336 349 354 360 384 413 420 448 472 480 504 531 560 576 590 630 640 672 698 708 720 826 840 885 896 944 960 1008 1047 1062 1120 1152 1180 1239 1260 1344 1396 1416 1440 1652 1680 1745 1770 1888 1920 2016 2065 2094 2124 2240 2360 2443 2478 2520 2655 2688 2792 2832 2880 3141 3304 3360 3490 3540 3717 3776 4032 4130 4188 4248 4480 4720 4886 4956 5040 5235 5310 5584 5664 5760 6195 6282 6608 6720 6980 7080 7329 7434 7552 8064 8260 8376 8496 9440 9772 9912 10080 10470 10620 11168 11328 12215 12390 12564 13216 13440 13960 14160 14658 14868 15705 16520 16752 16992 18585 18880 19544 19824 20160 20591 20940 21240 21987 22336 22656 24430 24780 25128 26432 27920 28320 29316 29736 31410 33040 33504 33984 36645 37170 37760 39088 39648 40320 41182 41880 42480 43974 44672 48860 49560 50256 52864 55840 56640 58632 59472 61773 62820 66080 67008 67968 73290 74340 78176 79296 82364 83760 84960 87948 97720 99120 100512 102955 109935 111680 113280 117264 118944 123546 125640 132160 134016 144137 146580 148680 156352 158592 164728 167520 169920 175896 185319 195440 198240 201024 205910 219870 223360 234528 237888 247092 251280 264320 288274 293160 297360 308865 312704 329456 335040 339840 351792 370638 390880 396480 402048 411820 432411 439740 469056 475776 494184 502560 576548 586320 594720 617730 658912 670080 703584 720685 741276 781760 792960 823640 864822 879480 926595 938112 988368 1005120 1153096 1172640 1189440 1235460 1297233 1317824 1407168 1441370 1482552 1563520 1647280 1729644 1758960 1853190 1976736 2010240 2162055 2306192 2345280 2378880 2470920 2594466 2635648 2814336 2882740 2965104 3294560 3459288 3517920 3706380 3953472 4324110 4612384 4690560 4941840 5188932 5765480 5930208 6486165 6589120 6918576 7035840 7412760 7906944 8648220 9224768 9883680 10377864 11530960 11860416 12972330 13178240 13837152 14071680 14825520 17296440 18449536 19767360 20755728 23061920 23720832 25944660 27674304 29651040 34592880 39534720 41511456 46123840 51889320 55348608 59302080 69185760 83022912 92247680 103778640 118604160 138371520 166045824 207557280 276743040 415114560 830229120
- Sum of all divisors σ(n): 3341520000
- Sum of proper divisors (its aliquot sum) s(n): 2511290880
- 830229120 is an abundant number, because the sum of its proper divisors (2511290880) is greater than itself. Its abundance is 1681061760
Bases of 830229120
- Binary: 1100010111110001001010100000002
- Hexadecimal: 0x317C4A80
- Base-36: DQAOW0
Squares and roots of 830229120
- 830229120 squared (8302291202) is 689280391695974400
- 830229120 cubed (8302291203) is 572260653031004133654528000
-
The
square root of 830229120 is 28813.6967430421 -
The
cube root of 830229120 is 939.8661043629
Scales and comparisons
How big is 830229120?- 830,229,120 seconds is equal to 26 years, 20 weeks, 5 days, 3 hours, 12 minutes.
-
To count from 1 to 830,229,120 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 830229120 cubic inches would be around 78.3 feet tall.
Recreational maths with 830229120
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