42505409851305984

Names of 42505409851305984

• Cardinal: 42505409851305984 can be written as Forty-two quadrillion, five hundred five trillion, four hundred nine billion, eight hundred fifty-one million, three hundred five thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 4.2505409851305984 × 10¹⁶

Factors of 42505409851305984

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 585

Divisors of 42505409851305984

• Number of divisors d(n): 390
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 569 576 704 768 792 1024 1056 1138 1152 1408 1536 1584 1707 2048 2112 2276 2304 2816 3072 3168 3414 4096 4224 4552 4608 5121 5632 6144 6259 6336 6828 8448 9104 9216 10242 11264 12288 12518 12672 13656 16896 18208 18432 18777 20484 22528 25036 25344 27312 33792 36416 36864 37554 40968 45056 50072 50688 54624 56331 67584 72832 75108 81936 100144 101376 109248 112662 135168 145664 150216 163872 200288 202752 218496 225324 291328 300432 323761 327744 400576 405504 436992 450648 582656 600864 647522 655488 801152 873984 901296 971283 1165312 1201728 1295044 1310976 1602304 1747968 1802592 1942566 2330624 2403456 2590088 2621952 2913849 3204608 3495936 3561371 3605184 3885132 4806912 5180176 5243904 5827698 6409216 6991872 7122742 7210368 7770264 9613824 10360352 10487808 10684113 11655396 12818432 14245484 14420736 15540528 19227648 20720704 20975616 21368226 23310792 25636864 28490968 28841472 31081056 32052339 38455296 41441408 42736452 46621584 56981936 57682944 62162112 64104678 76910592 82882816 85472904 93243168 113963872 115365888 124324224 128209356 165765632 170945808 184220009 186486336 227927744 230731776 248648448 256418712 331531264 341891616 368440018 372972672 455855488 497296896 512837424 552660027 663062528 683783232 736880036 745945344 911710976 994593792 1025674848 1105320054 1326125056 1367566464 1473760072 1491890688 1657980081 1823421952 1989187584 2026420099 2051349696 2210640108 2735132928 2947520144 2983781376 3315960162 3646843904 3978375168 4052840198 4102699392 4421280216 5470265856 5895040288 5967562752 6079260297 6631920324 7293687808 8105680396 8205398784 8842560432 10940531712 11790080576 11935125504 12158520594 13263840648 14587375616 16211360792 16410797568 17685120864 18237780891 21881063424 23580161152 24317041188 26527681296 32422721584 32821595136 35370241728 36475561782 43762126848 47160322304 48634082376 53055362592 64845443168 65643190272 70740483456 72951123564 94320644608 97268164752 104821185121 106110725184 129690886336 131286380544 141480966912 145902247128 188641289216 194536329504 209642370242 212221450368 259381772672 282961933824 291804494256 314463555363 377282578432 389072659008 419284740484 424442900736 518763545344 565923867648 583608988512 628927110726 754565156864 778145318016 838569480968 848885801472 943390666089 1037527090688 1131847735296 1153033036331 1167217977024 1257854221452 1556290636032 1677138961936 1697771602944 1886781332178 2075054181376 2263695470592 2306066072662 2334435954048 2515708442904 3112581272064 3354277923872 3395543205888 3459099108993 3773562664356 4150108362752 4612132145324 4668871908096 5031416885808 6225162544128 6708555847744 6791086411776 6918198217986 7547125328712 8300216725504 9224264290648 9337743816192 10062833771616 10377297326979 12450325088256 13417111695488 13836396435972 15094250657424 18448528581296 18675487632384 20125667543232 20754594653958 24900650176512 26834223390976 27672792871944 30188501314848 36897057162592 37350975264768 40251335086464 41509189307916 53668446781952 55345585743888 60377002629696 73794114325184 74701950529536 80502670172928 83018378615832 107336893563904 110691171487776 120754005259392 147588228650368 161005340345856 166036757231664 214673787127808 221382342975552 241508010518784 295176457300736 322010680691712 332073514463328 429347574255616 442764685951104 483016021037568 590352914601472 644021361383424 664147028926656 885529371902208 966032042075136 1180705829202944 1288042722766848 1328294057853312 1771058743804416 1932064084150272 2361411658405888 2656588115706624 3542117487608832 3864128168300544 4722823316811776 5313176231413248 7084234975217664 10626352462826496 14168469950435328 21252704925652992 42505409851305984
• Sum of all divisors σ(n): 134175901082347956
• Sum of proper divisors (its aliquot sum) s(n): 91670491231041972
• 42505409851305984 is an abundant number, because the sum of its proper divisors (91670491231041972) is greater than itself. Its abundance is 49165081379735988

Bases of 42505409851305984

• Binary: 10010111000000100111000111101111001110000011000000000000₂
• Hexadecimal: 0x970271EF383000
• Base-36: BMIWRPSB280

Squares and roots of 42505409851305984

• 42505409851305984 squared (42505409851305984²) is 1806709866627499792856790394208256
• 42505409851305984 cubed (42505409851305984³) is 76794943363400250154625626750839270079911275003904
• The square root of 42505409851305984 is 206168401.6800488853
• The cube root of 42505409851305984 is 348991.4088664571

Scales and comparisons

• 42,505,409,851,305,984 seconds is equal to 1,351,540,555 years, 21 weeks, 21 hours, 26 minutes, 24 seconds.
• To count from 1 to 42,505,409,851,305,984 would take you about four billion, fifty-four million, six hundred twenty-one thousand, six hundred sixty-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 42505409851305984 cubic inches would be around 29082.6 feet tall.

Recreational maths with 42505409851305984

• 42505409851305984 backwards is 48950315890450524
• 42505409851305984 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 42505409851305984's digits is 72
• More coming soon!