981113985168148848

Names of 981113985168148848

• Cardinal: 981113985168148848 can be written as Nine hundred eighty-one quadrillion, one hundred thirteen trillion, nine hundred eighty-five billion, one hundred sixty-eight million, one hundred forty-eight thousand, eight hundred forty-eight.

Scientific notation

• Scientific notation: 9.81113985168148848 × 10¹⁷

Factors of 981113985168148848

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 6032

Divisors of 981113985168148848

• Number of divisors d(n): 300
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 829 961 1488 1658 1922 2487 2883 3316 3844 4974 5167 5766 6632 7688 9948 10334 11532 13264 15376 15501 19896 20668 23064 25699 29791 31002 39792 41336 46128 51398 59582 62004 77097 82672 89373 102796 119164 124008 154194 160177 178746 205592 238328 248016 308388 320354 357492 411184 476656 480531 616776 640708 714984 796669 923521 961062 1233552 1281416 1429968 1593338 1847042 1922124 2390007 2562832 2770563 3186676 3694084 3844248 4283443 4780014 4965487 5541126 6373352 7388168 7688496 8566886 9560028 9930974 11082252 12746704 12850329 14776336 14896461 17133772 19120056 19861948 22164504 24696739 25700658 26697889 29792922 34267544 38240112 39723896 44329008 49393478 51401316 53395778 59585844 68535088 74090217 79447792 80093667 98786956 102802632 106791556 119171688 132786733 148180434 153930097 160187334 197573912 205605264 213583112 238343376 265573466 296360868 307860194 320374668 395147824 398360199 427166224 461790291 531146932 592721736 615720388 640749336 765598909 796720398 827634559 923580582 1062293864 1185443472 1231440776 1281498672 1531197818 1593440796 1655269118 1847161164 2124587728 2296796727 2462881552 2482903677 3062395636 3186881592 3310538236 3694322328 4116388723 4593593454 4771833007 4965807354 6124791272 6373763184 6621076472 7388644656 8232777446 9187186908 9543666014 9931614708 12249582544 12349166169 13242152944 14315499021 16465554892 18374373816 19087332028 19863229416 22132549981 24698332338 25656671329 28630998042 32931109784 36748747632 38174664056 39726458832 44265099962 49396664676 51313342658 57261996084 65862219568 66397649943 76349328112 76970013987 88530199924 98793329352 102626685316 114523992168 127608050413 132795299886 153940027974 177060399848 197586658704 205253370632 229047984336 255216100826 265590599772 307880055948 354120799696 382824151239 410506741264 510432201652 531181199544 615760111896 686109049411 765648302478 795356811199 1020864403304 1062362399088 1231520223792 1372218098822 1531296604956 1590713622398 2041728806608 2058327148233 2386070433597 2744436197644 3062593209912 3181427244796 3955849562803 4116654296466 4772140867194 5488872395288 6125186419824 6362854489592 7911699125606 8233308592932 9544281734388 10977744790576 11867548688409 12725708979184 15823398251212 16466617185864 19088563468776 21269380531741 23735097376818 24656061147169 31646796502424 32933234371728 38177126937552 42538761063482 47470194753636 49312122294338 63293593004848 63808141595223 73968183441507 85077522126964 94940389507272 98624244588676 127616283190446 147936366883014 170155044253928 189880779014544 197248489177352 255232566380892 295872733766028 340310088507856 394496978354704 510465132761784 591745467532056 659350796483971 1020930265523568 1183490935064112 1318701592967942 1978052389451913 2637403185935884 3956104778903826 5274806371871768 7912209557807652 10549612743743536 15824419115615304 20439874691003101 31648838231230608 40879749382006202 61319624073009303 81759498764012404 122639248146018606 163518997528024808 245278496292037212 327037995056049616 490556992584074424 981113985168148848
• Sum of all divisors σ(n): 2622696034604824200
• Sum of proper divisors (its aliquot sum) s(n): 1641582049436675352
• 981113985168148848 is an abundant number, because the sum of its proper divisors (1641582049436675352) is greater than itself. Its abundance is 660468064268526504

Bases of 981113985168148848

• Binary: 110110011101100111011111100010101010000111011000100101110000₂
• Hexadecimal: 0xD9D9DF8AA1D8970
• Base-36: 7GCFVQK4P1TC

Squares and roots of 981113985168148848

• 981113985168148848 squared (981113985168148848²) is 962584651892526597697152595083727104
• 981113985168148848 cubed (981113985168148848³) is 944405263879972062303354572927822569401488616083976192
• The square root of 981113985168148848 is 990511981.3349805453
• The cube root of 981113985168148848 is 993664.6093090717

Scales and comparisons

• 981,113,985,168,148,848 seconds is equal to 31,196,389,943 years, 27 weeks, 5 days, 4 hours, 48 seconds.
• To count from 1 to 981,113,985,168,148,848 would take you about ninety-three billion, five hundred eighty-nine million, one hundred sixty-nine thousand, eight hundred thirty 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 981113985168148848 cubic inches would be around 82805.4 feet tall.

Recreational maths with 981113985168148848

• 981113985168148848 backwards is 848841861589311189
• 981113985168148848 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 981113985168148848's digits is 93
• More coming soon!