13188828800
13,188,828,800 is an even composite number composed of six prime numbers multiplied together.
13188828800 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 13188828800:
27 × 52 × 7 × 29 × 79 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 29 × 79 × 257)See below for interesting mathematical facts about the number 13188828800 from the Numbermatics database.
Names of 13188828800
- Cardinal: 13188828800 can be written as Thirteen billion, one hundred eighty-eight million, eight hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.31888288 × 1010
Factors of 13188828800
Divisors of 13188828800
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 40 50 56 58 64 70 79 80 100 112 116 128 140 145 158 160 175 200 203 224 232 257 280 290 316 320 350 395 400 406 448 464 514 553 560 580 632 640 700 725 790 800 812 896 928 1015 1028 1106 1120 1160 1264 1285 1400 1450 1580 1600 1624 1799 1856 1975 2030 2056 2212 2240 2291 2320 2528 2570 2765 2800 2900 3160 3200 3248 3598 3712 3950 4060 4112 4424 4480 4582 4640 5056 5075 5140 5530 5600 5800 6320 6425 6496 7196 7453 7900 8120 8224 8848 8995 9164 9280 10112 10150 10280 11060 11200 11455 11600 12640 12850 12992 13825 14392 14906 15800 16037 16240 16448 17696 17990 18328 18560 20300 20303 20560 22120 22400 22910 23200 25280 25700 25984 27650 28784 29812 31600 32074 32480 32896 35392 35980 36656 37265 40600 40606 41120 44240 44975 45820 46400 50560 51400 52171 55300 57275 57568 59624 63200 64148 64960 70784 71960 73312 74530 80185 81200 81212 82240 88480 89950 91640 92800 101515 102800 104342 110600 114550 115136 119248 126400 128296 129920 142121 143920 146624 149060 160370 162400 162424 164480 176960 179900 183280 186325 203030 205600 208684 221200 229100 230272 238496 252800 256592 260855 284242 287840 293248 298120 320740 324800 324848 353920 359800 366560 372650 400925 406060 411200 417368 442400 458200 476992 507575 513184 521710 568484 575680 588787 596240 641480 649600 649696 710605 719600 733120 745300 801850 812120 822400 834736 884800 916400 953984 1015150 1026368 1043420 1136968 1151360 1177574 1192480 1282960 1299392 1304275 1421210 1439200 1466240 1490600 1603700 1624240 1669472 1769600 1832800 2030300 2052736 2086840 2273936 2355148 2384960 2565920 2598784 2608550 2842420 2878400 2943935 2981200 3207400 3248480 3338944 3553025 3665600 4060600 4121509 4173680 4547872 4710296 4769920 5131840 5217100 5684840 5756800 5887870 5962400 6414800 6496960 6677888 7106050 7331200 8121200 8243018 8347360 9095744 9420592 10263680 10434200 11369680 11775740 11924800 12829600 12993920 14212100 14719675 16242400 16486036 16694720 18191488 18841184 20607545 20868400 22739360 23551480 23849600 25659200 28424200 29439350 32484800 32972072 33389440 37682368 41215090 41736800 45478720 47102960 51318400 56848400 58878700 64969600 65944144 75364736 82430180 83473600 90957440 94205920 103037725 113696800 117757400 131888288 164860360 166947200 188411840 206075450 227393600 235514800 263776576 329720720 376823680 412150900 454787200 471029600 527553152 659441440 824301800 942059200 1318882880 1648603600 1884118400 2637765760 3297207200 6594414400 13188828800
- Sum of all divisors σ(n): 39158208000
- Sum of proper divisors (its aliquot sum) s(n): 25969379200
- 13188828800 is an abundant number, because the sum of its proper divisors (25969379200) is greater than itself. Its abundance is 12780550400
Bases of 13188828800
- Binary: 11000100100001110110001110100000002
- Hexadecimal: 0x3121D8E80
- Base-36: 624ADFK
Squares and roots of 13188828800
- 13188828800 squared (131888288002) is 173945205115709440000
- 13188828800 cubed (131888288003) is 2294133530851975994703872000000
-
The
square root of 13188828800 is 114842.6262325971 -
The
cube root of 13188828800 is 2362.6646145667
Scales and comparisons
How big is 13188828800?- 13,188,828,800 seconds is equal to 419 years, 18 weeks, 6 days, 11 hours, 33 minutes, 20 seconds.
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To count from 1 to 13,188,828,800 would take you about eight hundred thirty-eight 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 13188828800 cubic inches would be around 196.9 feet tall.
Recreational maths with 13188828800
- 13188828800 backwards is 00882888131
- The number of decimal digits it has is: 11
- The sum of 13188828800's digits is 47
- More coming soon!
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