34130428800
34,130,428,800 is an even composite number composed of six prime numbers multiplied together.
34130428800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 34130428800:
27 × 3 × 52 × 132 × 109 × 193
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 109 × 193)See below for interesting mathematical facts about the number 34130428800 from the Numbermatics database.
Names of 34130428800
- Cardinal: 34130428800 can be written as Thirty-four billion, one hundred thirty million, four hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 3.41304288 × 1010
Factors of 34130428800
Divisors of 34130428800
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 109 120 128 130 150 156 160 169 192 193 195 200 208 218 240 260 300 312 320 325 327 338 384 386 390 400 416 436 480 507 520 545 579 600 624 640 650 654 676 772 780 800 832 845 872 960 965 975 1014 1040 1090 1158 1200 1248 1300 1308 1352 1417 1544 1560 1600 1635 1664 1690 1744 1920 1930 1950 2028 2080 2180 2316 2400 2496 2509 2535 2600 2616 2704 2725 2834 2895 3088 3120 3200 3270 3380 3488 3860 3900 4056 4160 4225 4251 4360 4632 4800 4825 4992 5018 5070 5200 5232 5408 5450 5668 5790 6176 6240 6540 6760 6976 7085 7527 7720 7800 8112 8175 8320 8450 8502 8720 9264 9600 9650 10036 10140 10400 10464 10816 10900 11336 11580 12352 12480 12545 12675 13080 13520 13952 14170 14475 15054 15440 15600 16224 16350 16900 17004 17440 18421 18528 19300 20072 20280 20800 20928 21037 21255 21632 21800 22672 23160 24704 24960 25090 25350 26160 27040 28340 28950 30108 30880 31200 32448 32617 32700 33800 34008 34880 35425 36842 37056 37635 38600 40144 40560 41600 41856 42074 42510 43600 45344 46320 50180 50700 52320 54080 55263 56680 57900 60216 61760 62400 62725 63111 64896 65234 65400 67600 68016 69760 70850 73684 74112 75270 77200 80288 81120 84148 85020 87200 90688 92105 92640 97851 100360 101400 104640 105185 106275 108160 110526 113360 115800 120432 123520 124800 125450 126222 130468 130800 135200 136032 141700 147368 150540 154400 160576 162240 163085 168296 170040 174400 181376 184210 185280 188175 195702 200720 202800 209280 210370 212550 221052 226720 231600 240864 250900 252444 260936 261600 270400 272064 273481 276315 283400 294736 301080 308800 315555 321152 324480 326170 336592 340080 348800 368420 370560 376350 391404 401440 405600 420740 425100 442104 453440 460525 463200 481728 489255 501800 504888 521872 523200 525925 540800 544128 546962 552630 566800 589472 602160 617600 631110 652340 673184 680160 736840 752700 782808 802880 811200 815425 820443 841480 850200 884208 906880 921050 926400 963456 978510 1003600 1009776 1043744 1046400 1051850 1093924 1105260 1133600 1178944 1204320 1262220 1304680 1346368 1360320 1367405 1381575 1473680 1505400 1565616 1577775 1605760 1622400 1630850 1640886 1682960 1700400 1768416 1842100 1852800 1957020 2007200 2019552 2087488 2103700 2187848 2210520 2267200 2357888 2408640 2446275 2524440 2609360 2692736 2720640 2734810 2763150 2947360 3010800 3131232 3155550 3261700 3281772 3365920 3400800 3536832 3555253 3684200 3914040 4014400 4039104 4102215 4174976 4207400 4375696 4421040 4534400 4817280 4892550 5048880 5218720 5469620 5526300 5894720 6021600 6262464 6311100 6523400 6563544 6731840 6801600 6837025 7073664 7110506 7368400 7828080 8028800 8078208 8204430 8414800 8751392 8842080 9785100 10097760 10437440 10665759 10939240 11052600 11789440 12043200 12524928 12622200 13046800 13127088 13463680 13603200 13674050 14221012 14736800 15656160 16408860 16829600 17502784 17684160 17776265 19570200 20195520 20511075 20874880 21331518 21878480 22105200 24086400 25244400 26093600 26254176 27348100 28442024 29473600 31312320 32817720 33659200 35005568 35368320 35552530 39140400 40391040 41022150 42663036 43756960 44210400 50488800 52187200 52508352 53328795 54696200 56884048 58947200 62624640 65635440 67318400 71105060 78280800 82044300 85326072 87513920 88420800 88881325 100977600 104374400 105016704 106657590 109392400 113768096 131270880 142210120 156561600 164088600 170652144 175027840 176841600 177762650 201955200 213315180 218784800 227536192 262541760 266643975 284420240 313123200 328177200 341304288 355525300 426630360 437569600 455072384 525083520 533287950 568840480 656354400 682608576 711050600 853260720 875139200 1066575900 1137680960 1312708800 1365217152 1422101200 1706521440 2133151800 2275361920 2625417600 2844202400 3413042880 4266303600 5688404800 6826085760 8532607200 11376809600 17065214400 34130428800
- Sum of all divisors σ(n): 123483056400
- Sum of proper divisors (its aliquot sum) s(n): 89352627600
- 34130428800 is an abundant number, because the sum of its proper divisors (89352627600) is greater than itself. Its abundance is 55222198800
Bases of 34130428800
- Binary: 111111100100101010100000011100000002
- Hexadecimal: 0x7F2550380
- Base-36: FOGDJEO
Squares and roots of 34130428800
- 34130428800 squared (341304288002) is 1164886170071869440000
- 34130428800 cubed (341304288003) is 39758064487742630804815872000000
-
The
square root of 34130428800 is 184744.2253495357 -
The
cube root of 34130428800 is 3243.7490514957
Scales and comparisons
How big is 34130428800?- 34,130,428,800 seconds is equal to 1,085 years, 12 weeks, 4 days, 2 hours, 40 minutes.
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To count from 1 to 34,130,428,800 would take you about two thousand, one hundred seventy 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 34130428800 cubic inches would be around 270.3 feet tall.
Recreational maths with 34130428800
- 34130428800 backwards is 00882403143
- The number of decimal digits it has is: 11
- The sum of 34130428800's digits is 33
- More coming soon!
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