48971418624663905536

Names of 48971418624663905536

• Cardinal: 48971418624663905536 can be written as Forty-eight quintillion, nine hundred seventy-one quadrillion, four hundred eighteen trillion, six hundred twenty-four billion, six hundred sixty-three million, nine hundred five thousand, five hundred thirty-six.

Scientific notation

• Scientific notation: 4.8971418624663905536 × 10¹⁹

Factors of 48971418624663905536

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 7918

Divisors of 48971418624663905536

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 4 8 16 32 41 64 82 128 149 164 256 298 328 596 656 809 1192 1312 1618 2384 2624 3236 4768 5248 6109 6472 6917 9536 10496 12218 12944 13834 19072 24436 25888 27668 33169 38144 48872 51776 55336 66338 97744 103552 110672 120541 132676 195488 207104 221344 241082 265352 283597 390976 442688 482164 530704 567194 654481 781952 885376 964328 1030633 1061408 1134388 1308962 1563904 1770752 1928656 2061266 2122816 2268776 2617924 3857312 4122532 4245632 4537552 4942181 5235848 5595853 7714624 8245064 8491264 9075104 9884362 10471696 11191706 15429248 16490128 18150208 19768724 20943392 22383412 26833721 30858496 32980256 36300416 39537448 41886784 42255953 44766824 47844889 53667442 65960512 72600832 79074896 83773568 84511906 89533648 95689778 97517669 107334884 131921024 158149792 167547136 169023812 179067296 191379556 195035338 214669768 229429973 263842048 316299584 338047624 358134592 382759112 390070676 429339536 458859946 632599168 676095248 716269184 765518224 780141352 833782097 858679072 917719892 1265198336 1352190496 1432538368 1531036448 1560282704 1667564194 1717358144 1835439784 1961640449 2704380992 3062072896 3120565408 3335128388 3434716288 3670879568 3923280898 3998224429 4527045077 5408761984 6124145792 6241130816 6670256776 6869432576 7128888461 7341759136 7846561796 7996448858 9054090154 10817523968 12248291584 12482261632 13340513552 14257776922 14683518272 15693123592 15992897716 18108180308 24964523264 26681027104 28515553844 29367036544 31386247184 31985795432 34185065977 36216360616 38706515201 53362054208 57031107688 58734073088 62772494368 63971590864 68370131954 72432721232 77413030402 106724108416 114062215376 125544988736 127943181728 136740263908 144865442464 154826060804 185608848157 213448216832 228124430752 251089977472 255886363456 273480527816 289730884928 292284426901 309652121608 371217696314 456248861504 502179954944 511772726912 546961055632 579461769856 584568853802 619304243216 674529716473 742435392628 912497723008 1023545453824 1093922111264 1158923539712 1169137707604 1238608486432 1349059432946 1484870785256 1586967123241 1824995446016 2187844222528 2338275415208 2477216972864 2698118865892 2969741570512 3173934246482 4375688445056 4676550830416 4954433945728 5396237731784 5767270764949 5939483141024 6347868492964 8751376890112 9353101660832 9908867891456 10792475463568 11534541529898 11878966282048 12695736985928 18706203321664 21584950927136 23069083059796 23757932564096 25391473971856 27655718375393 31313570797609 37412406643328 43169901854272 46138166119592 47515865128192 50782947943712 55311436750786 62627141595218 74824813286656 86339803708544 92276332239184 101565895887424 110622873501572 125254283190436 172679607417088 184552664478368 203131791774848 221245747003144 236458101362909 250508566380872 369105328956736 406263583549696 442491494006288 472916202725818 501017132761744 738210657913472 884982988012576 945832405451636 1002034265523488 1283856402701969 1476421315826944 1769965976025152 1891664810903272 2004068531046976 2567712805403938 3539931952050304 3783329621806544 4008137062093952 4665722048843741 5135425610807876 7079863904100608 7566659243613088 8016274124187904 9331444097687482 10270851221615752 15133318487226176 18662888195374964 20541702443231504 30266636974452352 37325776390749928 41083404886463008 60533273948904704 74651552781499856 82166809772926016 149303105562999712 164333619545852032 191294604002593381 298606211125999424 328667239091704064 382589208005186762 597212422251998848 765178416010373524 1194424844503997696 1530356832020747048 3060713664041494096 6121427328082988192 12242854656165976384 24485709312331952768 48971418624663905536
• Sum of all divisors σ(n): 100947134442972554100
• Sum of proper divisors (its aliquot sum) s(n): 51975715818308648564
• 48971418624663905536 is an abundant number, because the sum of its proper divisors (51975715818308648564) is greater than itself. Its abundance is 3004297193644743028

Bases of 48971418624663905536

• Binary: 101010011110011101011011011100011100000110000010100110010100000000₂
• Hexadecimal: 0x2A79D6DC7060A6500
• Base-36: AC28737BPD98G

Squares and roots of 48971418624663905536

• 48971418624663905536 squared (48971418624663905536²) is 2398199842112078845236934975488731447296
• 48971418624663905536 cubed (48971418624663905536³) is 117443248413673495608604986229147135062144801954181106630656
• The square root of 48971418624663905536 is 6997958175.4011580785
• The cube root of 48971418624663905536 is 3658594.0887187511

Scales and comparisons

• 48,971,418,624,663,905,536 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 48,971,418,624,663,905,536 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 48971418624663905536 cubic inches would be around 304882.8 feet tall.

Recreational maths with 48971418624663905536

• 48971418624663905536 backwards is 63550936642681417984
• The number of decimal digits it has is: 20
• The sum of 48971418624663905536's digits is 97
• More coming soon!