61142060800800
61,142,060,800,800 is an even composite number composed of seven prime numbers multiplied together.
61142060800800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, two hundred forty divisors.
Prime factorization of 61142060800800:
25 × 34 × 52 × 72 × 232 × 89 × 409
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 23 × 23 × 89 × 409)See below for interesting mathematical facts about the number 61142060800800 from the Numbermatics database.
Names of 61142060800800
- Cardinal: 61142060800800 can be written as Sixty-one trillion, one hundred forty-two billion, sixty million, eight hundred thousand, eight hundred.
Scientific notation
- Scientific notation: 6.11420608008 × 1013
Factors of 61142060800800
Divisors of 61142060800800
- Number of divisors d(n): 3240
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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 23 24 25 27 28 30 32 35 36 40 42 45 46 48 49 50 54 56 60 63 69 70 72 75 80 81 84 89 90 92 96 98 100 105 108 112 115 120 126 135 138 140 144 147 150 160 161 162 168 175 178 180 184 189 196 200 207 210 216 224 225 230 240 245 252 267 270 276 280 288 294 300 315 322 324 336 345 350 356 360 368 378 392 400 405 409 414 420 432 441 445 450 460 480 483 490 504 525 529 534 540 552 560 567 575 588 600 621 623 630 644 648 672 675 690 700 712 720 735 736 756 784 800 801 805 810 818 828 840 864 882 890 900 920 945 966 980 1008 1035 1050 1058 1068 1080 1104 1120 1127 1134 1150 1176 1200 1225 1227 1242 1246 1260 1288 1296 1323 1335 1350 1380 1400 1424 1440 1449 1470 1512 1568 1575 1587 1602 1610 1620 1636 1656 1680 1725 1764 1780 1800 1840 1863 1869 1890 1932 1960 2016 2025 2045 2047 2070 2100 2116 2136 2160 2205 2208 2225 2254 2268 2300 2352 2400 2403 2415 2450 2454 2484 2492 2520 2576 2592 2645 2646 2670 2700 2760 2800 2835 2848 2863 2898 2940 3024 3105 3115 3150 3174 3204 3220 3240 3272 3312 3360 3381 3450 3528 3560 3600 3675 3680 3681 3703 3726 3738 3780 3864 3920 3969 4005 4025 4050 4090 4094 4140 4200 4232 4272 4320 4347 4361 4410 4450 4508 4536 4600 4704 4725 4761 4806 4830 4900 4908 4968 4984 5040 5152 5175 5290 5292 5340 5400 5520 5600 5607 5635 5670 5726 5796 5880 6048 6135 6141 6210 6230 6300 6348 6408 6440 6480 6544 6615 6624 6675 6762 6900 7056 7120 7200 7209 7245 7350 7362 7406 7452 7476 7560 7728 7840 7935 7938 8010 8050 8100 8180 8188 8280 8400 8464 8544 8589 8694 8722 8820 8900 9016 9072 9200 9315 9345 9407 9450 9522 9612 9660 9800 9816 9936 9968 10080 10143 10225 10235 10350 10580 10584 10680 10800 11025 11040 11043 11109 11214 11270 11340 11452 11592 11760 12015 12075 12270 12282 12420 12460 12600 12696 12816 12880 12960 13041 13083 13088 13225 13230 13350 13524 13800 14112 14175 14240 14283 14315 14329 14418 14490 14700 14724 14812 14904 14952 15120 15456 15525 15575 15870 15876 16020 16100 16200 16360 16376 16560 16800 16821 16905 16928 17178 17388 17444 17640 17800 18032 18144 18400 18405 18423 18515 18630 18690 18814 18900 19044 19224 19320 19600 19632 19845 19872 19936 20025 20041 20286 20450 20470 20700 21160 21168 21360 21600 21735 21805 22050 22086 22218 22428 22540 22680 22904 23184 23520 23805 24030 24150 24540 24564 24840 24920 25200 25392 25632 25760 25767 25921 26082 26166 26450 26460 26700 27048 27600 28035 28175 28221 28350 28566 28630 28658 28836 28980 29400 29448 29624 29808 29904 30240 30429 30675 30705 31050 31150 31740 31752 32040 32200 32400 32720 32752 33075 33120 33129 33327 33642 33810 34356 34776 34888 35280 35600 36045 36064 36225 36401 36810 36846 37030 37260 37380 37628 37800 38088 38448 38640 39200 39249 39264 39675 39690 40050 40082 40572 40900 40940 41400 42320 42336 42720 42849 42945 42987 43470 43610 44100 44172 44436 44856 45080 45360 45808 46368 46575 46725 47035 47081 47610 48060 48300 49080 49128 49680 49840 50400 50463 50715 50784 51175 51534 51842 52164 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189882176400 194101780320 203806869336 207966193200 212298822225 218364502860 221529205800 226452077040 228996482400 242627225400 249559431840 254758586670 265835046960 271742492448 272955628575 283065096300 291152670480 295372274400 305710304004 311949289800 323502967200 332293808700 339678115560 343494723600 349383204576 363940838100 377420128400 379764352800 382137880005 407613738672 415932386400 424597644450 436729005720 443058411600 452904154080 485254450800 509517173340 531670093920 545911257150 566130192600 582305340960 611420608008 623898579600 636896466675 664587617400 679356231120 686989447200 727881676200 754840256800 764275760010 815227477344 849195288900 873458011440 886116823200 970508901600 1019034346680 1091822514300 1132260385200 1222841216016 1247797159200 1273792933350 1329175234800 1358712462240 1455763352400 1528551520020 1698390577800 1746916022880 1910689400025 2038068693360 2183645028600 2264520770400 2445682432032 2547585866700 2658350469600 2911526704800 3057103040040 3396781155600 3821378800050 4076137386720 4367290057200 5095171733400 6114206080080 6793562311200 7642757600100 8734580114400 10190343466800 12228412160160 15285515200200 20380686933600 30571030400400 61142060800800
- Sum of all divisors σ(n): 274861534493700
- Sum of proper divisors (its aliquot sum) s(n): 213719473692900
- 61142060800800 is an abundant number, because the sum of its proper divisors (213719473692900) is greater than itself. Its abundance is 152577412892100
Bases of 61142060800800
- Binary: 11011110011011101111101101000010011011001000002
- Hexadecimal: 0x379BBED09B20
- Base-36: LO89WCY00
Squares and roots of 61142060800800
- 61142060800800 squared (611420608008002) is 3738351598968723937280640000
- 61142060800800 cubed (611420608008003) is 228570520758913617550803256692736512000000
-
The
square root of 61142060800800 is 7819338.8979375999 -
The
cube root of 61142060800800 is 39395.5067154697
Scales and comparisons
How big is 61142060800800?- 61,142,060,800,800 seconds is equal to 1,944,128 years, 21 weeks, 1 day, 18 hours.
-
To count from 1 to 61,142,060,800,800 would take you about four million, eight hundred sixty thousand, three hundred twenty-one 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 61142060800800 cubic inches would be around 3283 feet tall.
Recreational maths with 61142060800800
- 61142060800800 backwards is 00800806024116
- 61142060800800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 61142060800800's digits is 36
- More coming soon!
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Cite this page
MLA style:
"Number 61142060800800 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 61142060800800 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/61142060800800/
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The information we have on file for 61142060800800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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