47131013097978147

Names of 47131013097978147

• Cardinal: 47131013097978147 can be written as Forty-seven quadrillion, one hundred thirty-one trillion, thirteen billion, ninety-seven million, nine hundred seventy-eight thousand, one hundred forty-seven.

Scientific notation

• Scientific notation: 4.7131013097978147 × 10¹⁶

Factors of 47131013097978147

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 3352

Divisors of 47131013097978147

• Number of divisors d(n): 324
• Complete list of divisors:
  1 3 9 13 23 29 39 67 69 87 117 169 201 207 261 299 377 507 603 667 871 897 1131 1521 1541 1943 2001 2613 2691 3217 3393 3887 4489 4623 4901 5829 6003 7839 8671 9651 11323 11661 13467 13869 14703 17487 20033 25259 26013 28953 33969 34983 40401 41821 44109 44689 58357 60099 73991 75777 78039 93293 101907 103247 112723 125463 130181 134067 175071 180297 215539 221973 227331 260429 279879 309741 328367 338169 376389 390543 402201 525213 543673 580957 646617 665919 758641 781287 839637 929223 961883 985101 1014507 1171629 1212809 1342211 1631019 1692353 1742871 1939851 2145739 2275923 2343861 2802007 2885649 2955303 2994163 3638427 4026633 4893057 4957397 5077059 5228613 6250631 6437217 6827769 7552441 8406021 8656947 8982489 10349089 10915281 12079899 12504479 14441113 14872191 15231177 15766517 17448743 18751893 19311651 22000589 22657323 25218063 26947467 27894607 31047267 36426091 37513437 38924119 43323339 44616573 47299551 52346229 56255679 64446161 66001767 67971969 81258203 83683821 93141801 109278273 112540311 116772357 129970017 134538157 141898653 143764513 157038687 187734469 193338483 198005301 238029047 243774609 251051463 300123581 327834819 332145599 350317071 362629891 403614471 418792277 431293539 506013547 563203407 580015449 693388963 714087141 731323827 837800093 900370743 996436797 1056356639 1087889673 1210843413 1256376831 1293880617 1518040641 1689610221 1748996041 1868938669 2080166889 2142261423 2440548097 2513400279 2701112229 2989310391 3094377611 3169069917 3263669019 3769130493 3901606553 4317892787 4554121923 5246988123 5444299601 5606816007 6240500667 6902842363 7321644291 7540200837 9014056519 9283132833 9507209751 9632222371 11704819659 12953678361 15740964369 15947946149 16332898803 16820448021 20108279927 20708527089 21964932873 24296202697 27042169557 27849398499 28896667113 35114458977 38861035083 40226908943 46457060521 47843838447 48998696409 50720885189 56132606231 60324839781 62125581267 70775894813 72888608091 81126508671 86690001339 89736950719 117182734747 120680726829 125218890823 139371181563 143531515341 152162655567 168397818693 180974519343 207323299937 212327684439 218665824273 261407639051 269210852157 351548204241 362042180487 375656672469 418113544689 456487966701 462490438321 505193456079 603941786773 621969899811 636983053317 784222917153 807632556471 1054644612723 1068512391983 1126970017407 1166580359347 1347254755109 1387471314963 1627845580699 1811825360319 1865909699433 2352668751459 2695202899181 3205537175949 3398299307663 3499741078041 4041764265327 4162413944889 4883536742097 5435476080957 6012375698173 7851243228049 8085608697543 9616611527847 10194897922989 10499223234123 12125292795981 13890661095779 14650610226291 17514311816417 18037127094519 23553729684147 24256826092629 30584693768967 30986859367507 41671983287337 52542935449251 54111381283557 70661189052441 78160884076249 92960578102521 125015949862011 157628806347753 180578594245127 227686053613421 234482652228747 278881734307563 402829171777591 541735782735381 683058160840263 703447956686241 1208487515332773 1625207348206143 2049174482520789 3625462545998319 5236779233108683 15710337699326049 47131013097978147
• Sum of all divisors σ(n): 80805907061727120
• Sum of proper divisors (its aliquot sum) s(n): 33674893963748973
• 47131013097978147 is a deficient number, because the sum of its proper divisors (33674893963748973) is less than itself. Its deficiency is 13456119134229174

Bases of 47131013097978147

• Binary: 10100111011100010110100000011101100110111111100100100011₂
• Hexadecimal: 0xA771681D9BF923
• Base-36: CW2JSIFU7MR

Squares and roots of 47131013097978147

• 47131013097978147 squared (47131013097978147²) is 2221332395641787649545539289553609
• 47131013097978147 cubed (47131013097978147³) is 104693646233956269050023486017919241682076066982523
• The square root of 47131013097978147 is 217096782.7904829801
• The cube root of 47131013097978147 is 361217.6185448269

Scales and comparisons

• 47,131,013,097,978,147 seconds is equal to 1,498,620,430 years, 37 weeks, 3 days, 3 hours, 42 minutes, 27 seconds.
• To count from 1 to 47,131,013,097,978,147 would take you about four billion, four hundred ninety-five million, eight hundred sixty-one thousand, two hundred ninety-two 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 47131013097978147 cubic inches would be around 30101.5 feet tall.

Recreational maths with 47131013097978147

• 47131013097978147 backwards is 74187979031013174
• The number of decimal digits it has is: 17
• The sum of 47131013097978147's digits is 72
• More coming soon!