480493520872362432

Names of 480493520872362432

• Cardinal: 480493520872362432 can be written as Four hundred eighty quadrillion, four hundred ninety-three trillion, five hundred twenty billion, eight hundred seventy-two million, three hundred sixty-two thousand, four hundred thirty-two.

Scientific notation

• Scientific notation: 4.80493520872362432 × 10¹⁷

Factors of 480493520872362432

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 22470

Divisors of 480493520872362432

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 577 864 1117 1154 1728 1731 2234 2308 3351 3462 4468 4616 5193 6702 6924 8936 9232 10053 10386 13404 13848 15579 17872 18464 20106 20771 20772 26808 27696 30159 31158 35744 36928 40212 41542 41544 53616 55392 60318 62313 62316 71488 80424 83084 83088 107232 110784 120636 124626 124632 160848 166168 166176 186939 214464 241272 249252 249264 321696 332336 332352 373878 482544 498504 498528 560817 643392 644509 664672 747756 965088 997008 997056 1121634 1289018 1329344 1495512 1930176 1933527 1994016 2243268 2578036 2991024 3867054 3988032 4486536 5156072 5800581 5982048 7734108 8973072 10312144 11601162 11964096 11984867 15468216 17401743 17946144 20624288 23201207 23202324 23969734 30936432 34803486 35892288 35954601 41248576 46402414 46404648 47939468 61872864 69603621 69606972 71909202 92804828 92809296 95878936 107863803 123745728 139207242 139213944 143818404 185609656 185618592 191757872 208810863 215727606 278414484 278427888 287636808 323591409 371219312 371237184 383515744 417621726 431434441 431455212 556828968 556855776 575273616 626432589 647182818 742438624 767031488 835243452 862868882 862910424 1113657936 1113711552 1150547232 1252865178 1294303323 1294365636 1484877248 1670486904 1725737764 1725820848 2227315872 2301094464 2505730356 2588606646 2588731272 3340973808 3451475528 3451641696 3882909969 4454631744 5011460712 5177213292 5177462544 6681947616 6902951056 6903283392 7765819938 10022921424 10354426584 10354925088 11648729907 13363895232 13387096439 13805902112 15531639876 20045842848 20708853168 20709850176 23297459814 26774192878 27611804224 31063279752 40091685696 40161289317 41417706336 46594919628 53548385756 62126559504 80322578634 82835412672 93189839256 107096771512 120483867951 124253119008 160645157268 186379678512 214193543024 240967735902 248506238016 248937672457 321290314536 361451603853 372759357024 428387086048 481912270597 481935471804 497875344914 642580629072 722903207706 745518714048 746813017371 856774172096 963824541194 963870943608 995750689828 1285161258144 1445736811791 1445806415412 1493626034742 1927649082388 1927741887216 1991501379656 2240439052113 2570322516288 2891473623582 2891612830824 2987252069484 3855298164776 3855483774432 3983002759312 4337210435373 4480878104226 5782947247164 5783225661648 5974504138968 6721317156339 7710596329552 7710967548864 7966005518624 8674420870746 8961756208452 11565894494328 11566451323296 11949008277936 13011631306119 13442634312678 15421192659104 15932011037248 17348841741492 17923512416904 23131788988656 23132902646592 23898016555872 26023262612238 26885268625356 30842385318208 34697683482984 35847024833808 46263577977312 47796033111744 52046525224476 53770537250712 69395366965968 71694049667616 92527155954624 104093050448952 107541074501424 138790733931936 143388099335232 208186100897904 215082149002848 277581467863872 278063380134469 416372201795808 430164298005696 556126760268938 832744403591616 834190140403407 1112253520537876 1668380280806814 2224507041075752 2502570421210221 3336760561613628 4449014082151504 5005140842420442 6673521123227256 7507711263630663 8898028164303008 10010281684840884 13347042246454512 15015422527261326 17796056328606016 20020563369681768 26694084492909024 30030845054522652 40041126739363536 53388168985818048 60061690109045304 80082253478727072 120123380218090608 160164506957454144 240246760436181216 480493520872362432
• Sum of all divisors σ(n): 1416345069064176160
• Sum of proper divisors (its aliquot sum) s(n): 935851548191813728
• 480493520872362432 is an abundant number, because the sum of its proper divisors (935851548191813728) is greater than itself. Its abundance is 455358027319451296

Bases of 480493520872362432

• Binary: 11010101011000011100100111110111100011110010101000111000000₂
• Hexadecimal: 0x6AB0E4FBC7951C0
• Base-36: 3NF4QK74C1C0

Squares and roots of 480493520872362432

• 480493520872362432 squared (480493520872362432²) is 230874023600319392095897492764954624
• 480493520872362432 cubed (480493520872362432³) is 110933472477686362546017984723346293937174700162285568
• The square root of 480493520872362432 is 693176399.5350407427
• The cube root of 480493520872362432 is 783241.7792208991

Scales and comparisons

• 480,493,520,872,362,432 seconds is equal to 15,278,207,699 years, 36 weeks, 1 day, 9 hours, 7 minutes, 12 seconds.
• To count from 1 to 480,493,520,872,362,432 would take you about forty-five billion, eight hundred thirty-four million, six hundred twenty-three thousand and ninety-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 480493520872362432 cubic inches would be around 65270.1 feet tall.

Recreational maths with 480493520872362432

• 480493520872362432 backwards is 234263278025394084
• 480493520872362432 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 480493520872362432's digits is 72
• More coming soon!