34013135485840032

Names of 34013135485840032

• Cardinal: 34013135485840032 can be written as Thirty-four quadrillion, thirteen trillion, one hundred thirty-five billion, four hundred eighty-five million, eight hundred forty thousand and thirty-two.

Scientific notation

• Scientific notation: 3.4013135485840032 × 10¹⁶

Factors of 34013135485840032

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 9063426

Divisors of 34013135485840032

• Number of divisors d(n): 192
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 16416 234683 469366 704049 938732 1408098 1877464 2112147 2816196 3754928 4224294 4458977 5632392 6336441 7509856 8448588 8828719 8917954 11264784 12672882 13376931 16897176 17657438 17835908 22529568 25345764 26486157 26753862 33794352 35314876 35671816 40130793 50691528 52972314 53507724 67588704 70629752 71343632 79458471 80261586 101383056 105944628 107015448 120392379 141259504 142687264 158916942 160523172 167745661 202766112 211889256 214030896 238375413 240784758 282519008 317833884 321046344 335491322 423778512 428061792 476750826 481569516 503236983 635667768 642092688 670982644 847557024 953501652 963139032 1006473966 1271335536 1284185376 1341965288 1509710949 1907003304 1926278064 2012947932 2542671072 2683930576 3019421898 3814006608 3852556128 4025895864 4529132847 5367861152 6038843796 7628013216 8051791728 9058265694 12077687592 16103583456 18116531388 24155375184 36233062776 48310750368 72466125552 144932251104 2071950261077 4143900522154 6215850783231 8287801044308 12431701566462 16575602088616 18647552349693 24863403132924 33151204177232 37295104699386 39367054960463 49726806265848 55942657049079 66302408354464 74590209398772 78734109920926 99453612531696 111885314098158 118101164881389 149180418797544 157468219841852 198907225063392 223770628196316 236202329762778 298360837595088 314936439683704 354303494644167 447541256392632 472404659525556 596721675190176 629872879367408 708606989288334 895082512785264 944809319051112 1062910483932501 1259745758734816 1417213978576668 1790165025570528 1889618638102224 2125820967865002 2834427957153336 3779237276204448 4251641935730004 5668855914306672 8503283871460008 11337711828613344 17006567742920016 34013135485840032
• Sum of all divisors σ(n): 104426749953792000
• Sum of proper divisors (its aliquot sum) s(n): 70413614467951968
• 34013135485840032 is an abundant number, because the sum of its proper divisors (70413614467951968) is greater than itself. Its abundance is 36400478982111936

Bases of 34013135485840032

• Binary: 1111000110101101100010000111010010101001010101010100000₂
• Hexadecimal: 0x78D6C43A54AAA0
• Base-36: 9AWNEQB4VC0

Squares and roots of 34013135485840032

• 34013135485840032 squared (34013135485840032²) is 1156893385578110429681176693761024
• 34013135485840032 cubed (34013135485840032³) is 39349571466340442559511379499584001744750100512768
• The square root of 34013135485840032 is 184426504.2932821845
• The cube root of 34013135485840032 is 324002.8942415345

Scales and comparisons

• 34,013,135,485,840,032 seconds is equal to 1,081,512,498 years, 47 weeks, 3 days, 15 hours, 7 minutes, 12 seconds.
• To count from 1 to 34,013,135,485,840,032 would take you about three billion, two hundred forty-four million, five hundred thirty-seven thousand, four hundred ninety-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 34013135485840032 cubic inches would be around 27000.2 feet tall.

Recreational maths with 34013135485840032

• 34013135485840032 backwards is 23004858453131043
• 34013135485840032 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 34013135485840032's digits is 54
• More coming soon!