428118889931984128

Names of 428118889931984128

• Cardinal: 428118889931984128 can be written as Four hundred twenty-eight quadrillion, one hundred eighteen trillion, eight hundred eighty-nine billion, nine hundred thirty-one million, nine hundred eighty-four thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 4.28118889931984128 × 10¹⁷

Factors of 428118889931984128

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 414564774

Divisors of 428118889931984128

• Number of divisors d(n): 144
• Complete list of divisors:
  1 2 4 8 16 31 32 37 62 64 74 124 128 148 248 256 296 496 592 992 1147 1184 1984 2294 2368 3517 3968 4588 4736 7034 7936 9176 9472 14068 18352 28136 36704 56272 73408 109027 112544 130129 146816 218054 225088 260258 293632 436108 450176 520516 872216 900352 1041032 1744432 2082064 3488864 4033999 4164128 6977728 8067998 8328256 13955456 16135996 16656512 27910912 32271992 33313024 64543984 129087968 258175936 414561187 516351872 829122374 1032703744 1658244748 3316489496 6632978992 12851396797 13265957984 15338763919 25702793594 26531915968 30677527838 51405587188 53063831936 61355055676 102811174376 106127663872 122710111352 205622348752 245420222704 411244697504 475501681489 490840445408 822489395008 951003362978 981680890816 1458011694679 1644978790016 1902006725956 1963361781632 2916023389358 3289957580032 3804013451912 3926723563264 5832046778716 7608026903824 11664093557432 15216053807648 23328187114864 30432107615296 45198362535049 46656374229728 53946432703123 60864215230592 90396725070098 93312748459456 107892865406246 121728430461184 180793450140196 186625496918912 215785730812492 361586900280392 373250993837824 431571461624984 723173800560784 863142923249968 1446347601121568 1672339413796813 1726285846499936 2892695202243136 3344678827593626 3452571692999872 5785390404486272 6689357655187252 6905143385999744 11570780808972544 13378715310374504 13810286771999488 26757430620749008 53514861241498016 107029722482996032 214059444965992064 428118889931984128
• Sum of all divisors σ(n): 906231075350992384
• Sum of proper divisors (its aliquot sum) s(n): 478112185419008256
• 428118889931984128 is an abundant number, because the sum of its proper divisors (478112185419008256) is greater than itself. Its abundance is 49993295487024128

Bases of 428118889931984128

• Binary: 10111110000111110111101110010110100000001111100110100000000₂
• Hexadecimal: 0x5F0FBDCB407CD00
• Base-36: 393FHAWJBWN4

Squares and roots of 428118889931984128

• 428118889931984128 squared (428118889931984128²) is 183285783916594340758581998843920384
• 428118889931984128 cubed (428118889931984128³) is 78468106350685879327555143962080381911581523183665152
• The square root of 428118889931984128 is 654307947.3244873617
• The cube root of 428118889931984128 is 753681.9773991379

Scales and comparisons

• 428,118,889,931,984,128 seconds is equal to 13,612,856,441 years, 8 weeks, 3 days, 3 hours, 35 minutes, 28 seconds.
• To count from 1 to 428,118,889,931,984,128 would take you about forty billion, eight hundred thirty-eight million, five hundred sixty-nine thousand, three hundred twenty-three 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 428118889931984128 cubic inches would be around 62806.8 feet tall.

Recreational maths with 428118889931984128

• 428118889931984128 backwards is 821489139988811824
• The number of decimal digits it has is: 18
• The sum of 428118889931984128's digits is 94
• More coming soon!