10148238971173888

Names of 10148238971173888

• Cardinal: 10148238971173888 can be written as Ten quadrillion, one hundred forty-eight trillion, two hundred thirty-eight billion, nine hundred seventy-one million, one hundred seventy-three thousand, eight hundred eighty-eight.

Scientific notation

• Scientific notation: 1.0148238971173888 × 10¹⁶

Factors of 10148238971173888

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 9210

Divisors of 10148238971173888

• Number of divisors d(n): 704
• Complete list of divisors:
  1 2 4 8 13 16 17 26 32 34 41 52 64 68 82 104 107 128 136 164 208 214 221 256 272 328 416 428 442 512 533 544 656 697 832 856 884 1024 1066 1088 1312 1327 1391 1394 1664 1712 1768 1819 2132 2176 2624 2654 2782 2788 3328 3424 3536 3638 4264 4352 4387 5248 5308 5564 5576 6656 6848 7072 7276 7703 8528 8704 8774 9061 10496 10616 11128 11152 13312 13696 14144 14552 15406 17056 17251 17408 17548 18122 20992 21232 22256 22304 22559 23647 27392 28288 29104 30812 34112 34502 35096 36244 41984 42464 44512 44608 45118 47294 54407 54784 56576 57031 58208 61624 68224 69004 70192 72488 74579 84928 89024 89216 90236 94588 100139 108814 109568 113152 114062 116416 123248 130951 136448 138008 140384 141989 144976 149158 169856 178048 178432 180472 189176 200278 217628 226304 228124 232832 246496 261902 272896 276016 280768 283978 289952 293267 298316 315823 339712 356096 356864 360944 378352 400556 435256 456248 465664 492992 523804 545792 552032 561536 567956 579904 586534 596632 631646 679424 707291 712192 713728 721888 756704 801112 824221 870512 912496 924919 931328 969527 985984 1047608 1104064 1123072 1135912 1159808 1173068 1193264 1263292 1358848 1414582 1424384 1443776 1513408 1602224 1648442 1702363 1741024 1824992 1845857 1849838 1862656 1939054 1971968 2095216 2208128 2246144 2271824 2319616 2346136 2386528 2413813 2526584 2829164 2887552 3026816 3204448 3296884 3404726 3482048 3649984 3691714 3699676 3878108 3943936 4105699 4190432 4416256 4492288 4543648 4639232 4692272 4773056 4827626 5053168 5368991 5658328 5775104 5821549 6053632 6408896 6593768 6809452 6964096 7299968 7383428 7399352 7756216 7887872 8211398 8380864 8832512 9087296 9278464 9384544 9546112 9655252 10106336 10221881 10714873 10737982 11316656 11550208 11643098 12023947 12107264 12817792 13187536 13618904 13928192 14011757 14599936 14766856 14798704 15512432 16422796 16761728 17665024 18174592 18769088 19092224 19310504 20212672 20443762 21429746 21475964 22633312 23100416 23286196 24047894 24214528 25635584 26375072 27237808 27856384 28023514 29199872 29533712 29597408 31024864 31379569 32845592 33523456 33793061 36349184 37538176 38184448 38621008 40425344 40887524 42859492 42951928 45266624 46572392 48095788 51271168 52750144 54475616 55712768 56047028 58399744 59067424 59194816 62049728 62759138 65691184 67046912 67586122 69796883 72698368 75076352 75680137 76368896 77242016 80850688 81775048 85718984 85903856 90533248 93144784 96191576 98966333 102542336 105500288 108951232 112094056 118134848 118389632 124099456 125518276 131382368 132884453 134093824 135172244 139593766 145396736 150152704 151360274 154484032 161701376 163550096 171437968 171807712 173771977 181066496 182152841 186289568 192383152 197932666 211000576 217902464 224188112 236269696 236779264 248198912 251036552 262764736 265768906 270344488 279187532 300305408 302720548 308968064 323402752 327100192 342875936 343615424 347543954 362132992 364305682 372579136 384766304 395865332 419097121 422001152 435804928 439309793 448376224 472539392 473558528 496397824 502073104 525529472 531537812 540688976 558375064 574482037 605441096 617936128 654200384 685751872 687230848 695087908 724265984 728611364 745158272 769532608 791730664 838194242 844002304 871609856 878619586 896752448 945078784 947117056 992795648 1004146208 1051058944 1063075624 1081377952 1093741267 1116750128 1148964074 1210882192 1235872256 1286562329 1308400768 1371503744 1374461696 1390175816 1457222728 1490316544 1539065216 1583461328 1676388484 1743219712 1757239172 1793504896 1890157568 2008292416 2102117888 2126151248 2162755904 2187482534 2233500256 2259035701 2297928148 2421764384 2471744512 2573124658 2616801536 2743007488 2748923392 2780351632 2914445456 2980633088 3078130432 3166922656 3352776968 3514478344 3587009792 4016584832 4204235776 4252302496 4325511808 4374965068 4467000512 4518071402 4595856296 4843528768 5146249316 5233603072 5448262573 5486014976 5497846784 5560703264 5828890912 5961266176 6156260864 6333845312 6705553936 7028956688 7124651057 7174019584 7468266481 8033169664 8504604992 8651023616 8749930136 8934001024 9036142804 9191712592 9687057536 10292498632 10467206144 10896525146 10972029952 11121406528 11657781824 12312521728 12667690624 13411107872 14057913376 14218636471 14249302114 14348039168 14936532962 16066339328 17009209984 17302047232 17499860272 17868002048 18072285608 18383425184 18593601539 19374115072 20584997264 21793050292 22242813056 23315563648 25335381248 26822215744 28115826752 28437272942 28498604228 29873065924 32132678656 34018419968 34604094464 34999720544 35736004096 36144571216 36766850368 37187203078 38748230144 41169994528 43586100584 44485626112 44843391947 46631127296 50670762496 53644431488 56231653504 56874545884 56997208456 59746131848 68036839936 69999441088 71472008192 72289142432 73533700736 74374406156 77496460288 82339989056 87172201168 88971252224 89686783894 92620463741 93262254592 101341524992 107288862976 112463307008 113749091768 113994416912 119492263696 136073679872 139998882176 144578284864 147067401472 148748812312 164679978112 174344402336 177942504448 179373567788 185240927482 186524509184 214577725952 224926614016 227498183536 227988833824 238984527392 241716820007 279997764352 289156569728 294134802944 297497624624 329359956224 348688804672 358747135576 370481854964 429155451904 449853228032 454996367072 455977667648 477969054784 483433640014 559995528704 578313139456 582964095311 588269605888 594995249248 658719912448 697377609344 717494271152 740963709928 762337663099 909992734144 911955335296 955938109568 966867280028 1119991057408 1156626278912 1165928190622 1189990498496 1317439824896 1394755218688 1434988542304 1481927419856 1524675326198 1819985468288 1823910670592 1911876219136 1933734560056 2313252557824 2331856381244 2379980996992 2789510437376 2869977084608 2963854839712 3049350652396 3639970936576 3647821341184 3823752438272 3867469120112 4663712762488 4759961993984 5579020874752 5739954169216 5927709679424 6098701304792 7279941873152 7295642682368 7647504876544 7734938240224 9327425524976 9519923987968 9910389620287 11479908338432 11855419358848 12197402609584 14559883746304 15469876480448 18654851049952 19039847975936 19820779240574 22959816676864 23710838717696 24394805219168 30939752960896 37309702099904 39641558481148 45919633353728 47421677435392 48789610438336 61879505921792 74619404199808 79283116962296 94843354870784 97579220876672 123759011843584 149238808399616 158566233924592 195158441753344 247518023687168 298477616799232 317132467849184 390316883506688 596955233598464 634264935698368 780633767013376 1268529871396736 2537059742793472 5074119485586944 10148238971173888
• Sum of all divisors σ(n): 23938987528286208
• Sum of proper divisors (its aliquot sum) s(n): 13790748557112320
• 10148238971173888 is an abundant number, because the sum of its proper divisors (13790748557112320) is greater than itself. Its abundance is 3642509585938432

Bases of 10148238971173888

• Binary: 100100000011011100010100000010111110001111110000000000₂
• Hexadecimal: 0x240DC502F8FC00
• Base-36: 2RX90MFO64G

Squares and roots of 10148238971173888

• 10148238971173888 squared (10148238971173888²) is 102986754216052452797408733036544
• 10148238971173888 cubed (10148238971173888³) is 1045134192650050215975922201329226797726482563072
• The square root of 10148238971173888 is 100738468.1796079727
• The cube root of 10148238971173888 is 216502.8221460169

Scales and comparisons

• 10,148,238,971,173,888 seconds is equal to 322,682,608 years, 37 weeks, 2 days, 18 hours, 31 minutes, 28 seconds.
• To count from 1 to 10,148,238,971,173,888 would take you about nine hundred sixty-eight million, forty-seven thousand, eight hundred twenty-six 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 10148238971173888 cubic inches would be around 18041.9 feet tall.

Recreational maths with 10148238971173888

• 10148238971173888 backwards is 88837117983284101
• The number of decimal digits it has is: 17
• The sum of 10148238971173888's digits is 79
• More coming soon!