405704942317407132004

Names of 405704942317407132004

• Cardinal: 405704942317407132004 can be written as Four hundred five quintillion, seven hundred four quadrillion, nine hundred forty-two trillion, three hundred seventeen billion, four hundred seven million, one hundred thirty-two thousand and four.

Scientific notation

• Scientific notation: 4.05704942317407132004 × 10²⁰

Factors of 405704942317407132004

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 16148174197

Divisors of 405704942317407132004

• Number of divisors d(n): 144
• Complete list of divisors:
  1 2 4 11 22 44 71 121 131 142 242 262 284 484 524 781 1441 1562 2882 3124 5581 5764 8591 9301 11162 15851 17182 18602 22324 31702 34364 37204 61391 63404 102311 122782 204622 245564 396251 409244 675301 731111 792502 1125421 1350602 1462222 1585004 2250842 2701204 2924444 4358761 4501684 8042221 8717522 16084442 17435044 32168884 47946371 51908881 88464431 95892742 103817762 176928862 191785484 207635524 353857724 570997691 1141995382 2283990764 6280974601 12561949202 16148168401 25123898404 32296336802 64592673604 177629852411 355259704822 710519409644 1146519956471 1953928376521 2115410060531 2293039912942 3907856753042 4230820121062 4586079825884 7815713506084 8461640242124 12611719521181 23269510665841 25223439042362 46539021331682 50446878084724 90122927845981 93078042663364 138728914732991 150194114297701 180245855691962 255964617324251 277457829465982 300388228595402 360491711383924 511929234648502 554915658931964 600776457190804 991352206305791 1023858469297004 1652135257274711 1982704412611582 3304270514549422 3965408825223164 6398727877064651 6608541029098844 10904874269363701 11806103547823511 12797455754129302 18173487830021821 21809748538727402 23612207095647022 25594911508258604 36346975660043642 43619497077454804 47224414191294044 70386006647711161 72693951320087284 129867139026058621 140772013295422322 259734278052117242 281544026590844644 519468556104234484 774246073124822771 838233351895469281 1428538529286644831 1548492146249645542 1676466703790938562 2857077058573289662 3096984292499291084 3352933407581877124 5714154117146579324 9220566870850162091 18441133741700324182 36882267483400648364 101426235579351783001 202852471158703566002 405704942317407132004
• Sum of all divisors σ(n): 797570735777669943936
• Sum of proper divisors (its aliquot sum) s(n): 391865793460262811932
• 405704942317407132004 is a deficient number, because the sum of its proper divisors (391865793460262811932) is less than itself. Its deficiency is 13839148857144320072

Bases of 405704942317407132004

• Binary: 101011111111001001001011111111000010101010001011001010101100101100100₂
• Hexadecimal: 0x15FE497F8551655964
• Base-36: 2DMCTBBIZ1HG84

Squares and roots of 405704942317407132004

• 405704942317407132004 squared (405704942317407132004²) is 164596500220770648260885614983004681056016
• 405704942317407132004 cubed (405704942317407132004³) is 66777613627714846120955563590465818538414757047568788630336064
• The square root of 405704942317407132004 is 20142118615.4139984999
• The cube root of 405704942317407132004 is 7402926.4193638481

Scales and comparisons

• 405,704,942,317,407,132,004 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 405,704,942,317,407,132,004 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 405704942317407132004 cubic inches would be around 616910.5 feet tall.

Recreational maths with 405704942317407132004

• 405704942317407132004 backwards is 400231704713249407504
• The number of decimal digits it has is: 21
• The sum of 405704942317407132004's digits is 67
• More coming soon!