10042744186125
10,042,744,186,125 is an odd composite number composed of six prime numbers multiplied together.
10042744186125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 10042744186125:
37 × 53 × 7 × 312 × 43 × 127
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 31 × 31 × 43 × 127)See below for interesting mathematical facts about the number 10042744186125 from the Numbermatics database.
Names of 10042744186125
- Cardinal: 10042744186125 can be written as Ten trillion, forty-two billion, seven hundred forty-four million, one hundred eighty-six thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.0042744186125 × 1013
Factors of 10042744186125
Divisors of 10042744186125
- Number of divisors d(n): 768
-
Complete list of divisors:
1 3 5 7 9 15 21 25 27 31 35 43 45 63 75 81 93 105 125 127 129 135 155 175 189 215 217 225 243 279 301 315 375 381 387 405 465 525 567 635 645 651 675 729 775 837 875 889 903 945 961 1075 1085 1125 1143 1161 1215 1333 1395 1505 1575 1701 1905 1935 1953 2025 2187 2325 2511 2625 2667 2709 2835 2883 3175 3225 3255 3375 3429 3483 3645 3875 3937 3999 4185 4445 4515 4725 4805 5103 5375 5425 5461 5715 5805 5859 6075 6665 6727 6975 7525 7533 7875 8001 8127 8505 8649 9331 9525 9675 9765 10125 10287 10449 10935 11625 11811 11997 12555 13335 13545 14175 14415 15309 15875 16125 16275 16383 17145 17415 17577 18225 19685 19995 20181 20925 22225 22575 22599 23625 24003 24025 24381 25515 25947 27125 27305 27559 27993 28575 29025 29295 30375 30861 31347 33325 33635 34875 35433 35991 37625 37665 38227 40005 40635 41323 42525 43245 46655 47625 48375 48825 49149 51435 52245 52731 54675 59055 59985 60543 62775 66675 67725 67797 70875 72009 72075 73143 76545 77841 81375 81915 82677 83979 85725 87075 87885 91125 92583 94041 98425 99975 100905 104625 106299 107973 111125 112875 112995 114681 120015 120125 121905 122047 123969 127575 129735 136525 137795 139965 142875 145125 146475 147447 154305 156735 158193 166625 168175 169291 177165 179955 181629 188325 191135 200025 203175 206615 212625 216027 216225 219429 233275 233523 244125 245745 248031 251937 257175 261225 263655 273375 277749 289261 295275 299925 302715 313875 318897 323919 333375 338625 338985 344043 360045 360375 365715 366141 371907 382725 389205 409575 413385 419895 428625 435375 439425 442341 462915 470205 474579 492125 499875 504525 507873 531495 539865 544887 564975 573405 600075 609525 610235 619845 637875 648081 648675 658287 682625 688975 699825 700569 732375 737235 744093 755811 771525 783675 790965 840875 846455 854329 867783 885825 899775 908145 941625 955675 956691 971757 1000125 1015875 1032129 1033075 1080135 1081125 1097145 1098423 1115721 1166375 1167615 1185037 1228725 1240155 1259685 1285875 1306125 1318275 1327023 1388745 1446305 1476375 1499625 1513575 1523619 1594485 1619595 1634661 1694925 1720215 1800225 1828575 1830705 1859535 1913625 1944243 1946025 2047875 2066925 2099475 2101707 2197125 2211705 2232279 2267433 2314575 2351025 2372895 2522625 2539365 2562987 2603349 2657475 2699325 2724435 2824875 2867025 2870073 2915271 3000375 3047625 3051175 3096387 3099225 3240405 3243375 3291435 3295269 3347163 3444875 3499125 3502845 3555111 3686175 3720465 3779055 3857625 3918375 3954825 3981069 4232275 4271645 4338915 4429125 4498875 4540725 4570857 4778375 4783455 4858785 4903983 5160645 5165375 5248021 5400675 5485725 5492115 5578605 5838075 5925185 6143625 6200775 6298425 6591375 6635115 6696837 6802299 6943725 7231525 7567875 7618095 7688961 7810047 7972425 8097975 8173305 8474625 8601075 8610219 9001125 9142875 9153525 9289161 9297675 9721215 9730125 9885807 10041489 10334625 10497375 10508535 10665333 11058525 11161395 11337165 11572875 11755125 11864475 11943207 12696825 12814935 13016745 13287375 13496625 13622175 13712571 14335125 14350365 14576355 14711949 15255875 15481935 15496125 15744063 16202025 16457175 16476345 16735815 17514225 17775555 18430875 18602325 18895275 19774125 19905345 20090511 20406897 21161375 21358225 21694575 22703625 22854285 23066883 23430141 23917275 24293925 24519915 25803225 26240105 27003375 27428625 27460575 27867483 27893025 29190375 29625925 29657421 30124467 31003875 31492125 31995999 33175575 33484185 34011495 34718625 36157625 36736147 38090475 38444805 39050235 39862125 40489875 40866525 41137713 43005375 43051095 45767625 46445805 46488375 47232189 48606075 49429035 50207445 52542675 53326665 55292625 55806975 56685825 59322375 59716035 60271533 63484125 64074675 65083725 68110875 68562855 69200649 70290423 71751825 72881775 73559745 77409675 78720315 81010125 82285875 82381725 83602449 83679075 87571125 88877775 88972263 90373401 93011625 94476375 95987997 99526725 100452555 102034485 106791125 108472875 110208441 114271425 115334415 117150705 119586375 121469625 122599575 123413139 129016125 131200525 137302875 139337415 139465125 141696567 148129625 148287105 150622335 159979995 165877875 167420925 170057475 183680735 190452375 192224025 195251175 204332625 205688565 207601947 210871269 215255475 232229025 236160945 243030375 247145175 251037225 262713375 266633325 266916789 279034875 283429125 287963991 298580175 301357665 320373375 325418625 330625323 342814275 346003245 351452115 358759125 364408875 367798725 370239417 387048375 393601575 411908625 418012245 418395375 425089701 444388875 444861315 451867005 479939985 497633625 502262775 510172425 551042205 571357125 576672075 585753525 612997875 617065695 622805841 632613807 656002625 696687075 708482835 741435525 753111675 799899975 837104625 850287375 863891973 918403675 961120125 976255875 991875969 1028442825 1038009735 1054356345 1076277375 1161145125 1180804725 1235725875 1255186125 1275269103 1333166625 1334583945 1439819955 1492900875 1506788325 1653126615 1714071375 1730016225 1757260575 1838993625 1851197085 1868417523 1968007875 2090061225 2125448505 2224306575 2259335025 2399699925 2511313875 2550862125 2591675919 2755211025 2883360375 2928767625 2975627907 3085328475 3114029205 3163069035 3483435375 3542414175 3707177625 3765558375 3825807309 3999499875 4319459865 4592018375 4959379845 5142214125 5190048675 5271781725 5904023625 6376345515 6672919725 7199099775 7533941625 8265633075 8650081125 8786302875 8926883721 9255985425 9342087615 10450306125 10627242525 11121532875 11296675125 11477421927 11998499625 12958379595 13776055125 14878139535 15426642375 15570146025 15815345175 17712070875 19129036545 21597299325 24796899225 25950243375 26358908625 26780651163 31881727575 33364598625 35995498875 41328165375 44634418605 46279927125 46710438075 53136212625 57387109635 64791897975 74390697675 77850730125 79076725875 80341953489 95645182725 107986496625 123984496125 133903255815 159408637875 223172093025 233552190375 286935548175 323959489875 371953488375 401709767445 478225913625 669516279075 1115860465125 1434677740875 2008548837225 3347581395375 10042744186125
- Sum of all divisors σ(n): 22892874301440
- Sum of proper divisors (its aliquot sum) s(n): 12850130115315
- 10042744186125 is an abundant number, because the sum of its proper divisors (12850130115315) is greater than itself. Its abundance is 2807385929190
Bases of 10042744186125
- Binary: 100100100010010000100011001100100101000011012
- Hexadecimal: 0x9224233250D
- Base-36: 3K5KMLBT9
Squares and roots of 10042744186125
- 10042744186125 squared (100427441861252) is 100856710787947488642515625
- 10042744186125 cubed (100427441861253) is 1012878145897350209286418261463220703125
-
The
square root of 10042744186125 is 3169028.9026963765 -
The
cube root of 10042744186125 is 21574.9997864215
Scales and comparisons
How big is 10042744186125?- 10,042,744,186,125 seconds is equal to 319,328 years, 10 weeks, 3 days, 2 hours, 48 minutes, 45 seconds.
-
To count from 1 to 10,042,744,186,125 would take you about seven hundred ninety-eight thousand, three hundred twenty 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 10042744186125 cubic inches would be around 1797.9 feet tall.
Recreational maths with 10042744186125
- 10042744186125 backwards is 52168144724001
- 10042744186125 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 10042744186125's digits is 45
- More coming soon!
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