105948348073984

Names of 105948348073984

• Cardinal: 105948348073984 can be written as One hundred five trillion, nine hundred forty-eight billion, three hundred forty-eight million, seventy-three thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.05948348073984 × 10¹⁴

Factors of 105948348073984

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 548

Divisors of 105948348073984

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 8 13 16 26 29 32 43 52 58 64 86 97 104 116 128 167 172 194 197 208 232 256 334 344 377 388 394 416 464 512 559 668 688 754 776 788 832 928 1024 1118 1247 1261 1336 1376 1508 1552 1576 1664 1856 2048 2171 2236 2494 2522 2561 2672 2752 2813 3016 3104 3152 3328 3712 4171 4342 4472 4843 4988 5044 5122 5344 5504 5626 5713 6032 6208 6304 6656 7181 7424 8342 8471 8684 8944 9686 9976 10088 10244 10688 11008 11252 11426 12064 12416 12608 13312 14362 14848 16199 16211 16684 16942 17368 17888 19109 19372 19952 20176 20488 21376 22016 22504 22852 24128 24832 25216 26624 28724 29696 32398 32422 32899 33368 33884 34736 35776 36569 38218 38744 39904 40352 40976 42752 44032 45008 45704 48256 49664 50432 54223 57448 59392 62959 64796 64844 65798 66736 67768 69472 71552 73138 74269 76436 77488 79808 80704 81952 85504 88064 90016 91408 93353 96512 99328 100864 108446 110123 114896 120959 125918 129592 129688 131596 133472 135536 138944 143104 146276 148538 152872 154976 159616 161408 163904 171008 180032 182816 186706 193024 198656 201728 208249 210587 216892 220246 229792 241918 245659 248417 251836 259184 259376 263192 266944 271072 277888 286208 292552 297076 305744 309952 319232 322816 327808 342016 360064 365632 373412 386048 403456 416498 421174 427687 433784 440492 459584 469771 483836 491318 496834 503672 518368 518752 526384 533888 542144 554161 555776 572416 585104 594152 611488 619904 638464 645632 655616 696557 720128 731264 746824 772096 821687 832996 842348 855374 867568 880984 919168 939542 954071 967672 982636 993668 1007344 1036736 1037504 1052768 1067776 1084288 1108322 1111552 1144832 1170208 1188304 1222976 1239808 1276928 1291264 1311232 1393114 1414657 1440256 1462528 1493648 1572467 1643374 1665992 1684696 1710748 1735136 1761968 1838336 1879084 1908142 1935344 1965272 1987336 2014688 2073472 2075008 2105536 2135552 2168576 2216644 2223104 2340416 2376608 2445952 2479616 2553856 2582528 2622464 2707237 2786228 2829314 2880512 2925056 2987296 3144934 3191203 3193567 3286748 3331984 3369392 3421496 3470272 3523936 3676672 3758168 3816284 3870688 3930544 3974672 4029376 4146944 4150016 4211072 4271104 4337152 4433288 4446208 4680832 4753216 4891904 4959232 5244928 5414474 5572456 5658628 5761024 5850112 5974592 6107023 6289868 6382406 6387134 6573496 6663968 6738784 6842992 6940544 7047872 7204093 7353344 7516336 7632568 7741376 7861088 7949344 8058752 8293888 8300032 8422144 8542208 8674304 8866576 9055241 9361664 9506432 9783808 9918464 10681931 10828948 11144912 11317256 11700224 11949184 12214046 12402923 12579736 12764812 12774268 13146992 13327936 13477568 13685984 13881088 14095744 14408186 14706688 15032672 15265136 15482752 15722176 15898688 16117504 16587776 16600064 16844288 17348608 17733152 18110482 18390541 18723328 19012864 19567616 20200153 21363862 21657896 22289824 22634512 23828923 23898368 24428092 24805846 25159472 25529624 25548536 26293984 26655872 26955136 27371968 27762176 28191488 28816372 30065344 30530272 30965504 31444352 31797376 32235008 33175552 33200128 33688576 35466304 36220964 36781082 37446656 38025728 39135232 40400306 41025053 41485639 42727724 43315792 44579648 45269024 47657846 47796736 48856184 49611692 50318944 51059248 51097072 52587968 53311744 53910272 54743936 55524352 56382976 57632744 60130688 61060544 61931008 62888704 63594752 64470016 67377152 70932608 72441928 73562164 74893312 76051456 80800612 82050106 82971278 85455448 86631584 89159296 90538048 92544887 95315692 95593472 97712368 99223384 100637888 102118496 102194144 105175936 106623488 107820544 109487872 111048704 112765952 115265488 120261376 122121088 123862016 125777408 127189504 128940032 137221729 141865216 144883856 147124328 152102912 161601224 164100212 165942556 170910896 173263168 178318592 181076096 185089774 190631384 191186944 195424736 198446768 201275776 204236992 204388288 210351872 213246976 215641088 218975744 225531904 230530976 240522752 244242176 247724032 251554816 254379008 262601989 274443458 283730432 289767712 294248656 309775999 323202448 328200424 331885112 341821792 346526336 356637184 362152192 370179548 381262768 390849472 396893536 402551552 408473984 408776576 420703744 426493952 431282176 437951488 461061952 481045504 488484352 503109632 508758016 525203978 533325689 548886916 567460864 579535424 588497312 619551998 646404896 656400848 663770224 683643584 693052672 713274368 724304384 740359096 762525536 781698944 793787072 805103104 816947968 817553152 841407488 875902976 922123904 962091008 976968704 1050407956 1066651378 1097773832 1134921728 1159070848 1176994624 1203083531 1239103996 1292809792 1312801696 1327540448 1367287168 1386105344 1426548736 1448608768 1480718192 1525051072 1563397888 1587574144 1610206208 1633895936 1635106304 1682814976 1783882477 1844247808 1953937408 2100815912 2133302756 2195547664 2318141696 2353989248 2406167062 2478207992 2585619584 2625603392 2655080896 2734574336 2772210688 2897217536 2961436384 3050102144 3126795776 3175148288 3220412416 3267791872 3270212608 3567764954 3688495616 3979430141 4201631824 4266605512 4391095328 4636283392 4707978496 4812334124 4956415984 5171239168 5251206784 5310161792 5469148672 5544421376 5922872768 6100204288 6253591552 6350296576 6535583744 6540425216 7135529908 7376991232 7958860282 8403263648 8533211024 8782190656 9272566784 9415956992 9624668248 9912831968 10342478336 10502413568 10620323584 10938297344 11845745536 12200408576 12507183104 12700593152 14271059816 14753982464 15917720564 16806527296 17066422048 17564381312 18545133568 18831913984 19249336496 19825663936 20684956672 21004827136 21240647168 21876594688 23691491072 24400817152 25401186304 28542119632 31835441128 33613054592 34132844096 35128762624 37663827968 38498672992 39651327872 41369913344 42009654272 42481294336 47382982144 48801634304 51732591833 57084239264 63670882256 67226109184 68265688192 70257525248 76997345984 79302655744 84019308544 84962588672 94765964288 103465183666 114168478528 127341764512 134452218368 136531376384 140515050496 153994691968 158605311488 189531928576 206930367332 228336957056 254683529024 268904436736 273062752768 281030100992 307989383936 317210622976 413860734664 456673914112 509367058048 537808873472 546125505536 615978767872 634421245952 827721469328 913347828224 1018734116096 1092251011072 1231957535744 1655442938656 1826695656448 2037468232192 2463915071488 3310885877312 3653391312896 4074936464384 6621771754624 8149872928768 13243543509248 26487087018496 52974174036992 105948348073984
• Sum of all divisors σ(n): 246692769523200
• Sum of proper divisors (its aliquot sum) s(n): 140744421449216
• 105948348073984 is an abundant number, because the sum of its proper divisors (140744421449216) is greater than itself. Its abundance is 34796073375232

Bases of 105948348073984

• Binary: 11000000101110000000101101001101100100000000000₂
• Hexadecimal: 0x605C05A6C800
• Base-36: 11JZZYXRLS

Squares and roots of 105948348073984

• 105948348073984 squared (105948348073984²) is 11225052459606069162337632256
• 105948348073984 cubed (105948348073984³) is 1189275765139074039694911376661100472827904
• The square root of 105948348073984 is 10293121.3960578547
• The cube root of 105948348073984 is 47318.5465835073

Scales and comparisons

• 105,948,348,073,984 seconds is equal to 3,368,829 years, 38 weeks, 6 days, 15 hours, 13 minutes, 4 seconds.
• To count from 1 to 105,948,348,073,984 would take you about eight million, four hundred twenty-two thousand and seventy-four 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 105948348073984 cubic inches would be around 3943.2 feet tall.

Recreational maths with 105948348073984

• 105948348073984 backwards is 489370843849501
• The number of decimal digits it has is: 15
• The sum of 105948348073984's digits is 73
• More coming soon!