47953480040765984

Names of 47953480040765984

• Cardinal: 47953480040765984 can be written as Forty-seven quadrillion, nine hundred fifty-three trillion, four hundred eighty billion, forty million, seven hundred sixty-five thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 4.7953480040765984 × 10¹⁶

Factors of 47953480040765984

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 2048

Divisors of 47953480040765984

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 4 8 16 32 41 59 73 82 118 146 164 236 292 328 472 584 656 944 1168 1312 1681 1873 1888 2336 2419 2993 3362 3481 3746 4307 4838 5986 6724 6962 7492 8614 9676 11972 13448 13924 14984 17228 19352 23944 26896 27848 29968 34456 38704 47888 53792 55696 59936 68912 76793 77408 95776 99179 110507 111392 122713 136729 137824 142721 153586 176587 198358 221014 245426 254113 273458 285442 307172 353174 396716 442028 490852 508226 546916 570884 614344 706348 793432 884056 981704 1016452 1093832 1141768 1228688 1412696 1586864 1768112 1963408 2032904 2187664 2283536 2457376 2825392 3148513 3173728 3508129 3536224 3926816 4065808 4375328 4530787 4567072 5605889 5650784 5851561 6297026 6519913 7016258 7240067 8067011 8131616 9061574 10418633 11211778 11703122 12594052 13039826 14032516 14480134 16134022 18123148 20837266 22423556 23406244 25188104 26079652 28065032 28960268 32268044 36246296 41674532 44847112 46812488 50376208 52159304 56130064 57920536 64536088 72492592 83349064 89694224 93624976 100752416 104318608 112260128 115841072 129072176 143833289 144985184 166698128 179388448 185762267 187249952 206979611 208637216 229841449 231682144 256093417 258144352 267316433 287666578 330747451 333396256 371524534 413959222 427163953 459682898 475953649 512186834 534632866 575333156 661494902 743049068 827918444 854327906 919365796 951907298 1024373668 1069265732 1150666312 1322989804 1486098136 1655836888 1708655812 1838731592 1903814596 2048747336 2138531464 2301332624 2645979608 2972196272 3311673776 3417311624 3677463184 3807629192 4097494672 4277062928 4602665248 5291959216 5897164849 5944392544 6623347552 6834623248 7354926368 7615258384 8194989344 8486164051 8554125856 10499830097 10583918432 10959973753 11794329698 12211797049 13560645491 13669246496 15109511603 15230516768 16972328102 19514099609 20999660194 21919947506 23588659396 24423594098 27121290982 30219023206 33944656204 39028199218 41999320388 43839895012 47177318792 48847188196 54242581964 60438046412 67889312408 78056398436 83998640776 87679790024 94354637584 97694376392 108485163928 120876092824 135778624816 156112796872 167997281552 175359580048 188709275168 195388752784 216970327856 241752185648 271557249632 312225593744 335994563104 347932726091 350719160096 390777505568 430493033977 433940655712 483504371296 500683679009 619489975723 624451187488 695865452182 800078083969 860986067954 891461184577 1001367358018 1238979951446 1391730904364 1600156167938 1721972135908 1782922369154 2002734716036 2477959902892 2783461808728 3200312335876 3443944271816 3565844738308 4005469432072 4955919805784 5566923617456 6400624671752 6887888543632 7131689476616 8010938864144 9911839611568 11133847234912 12801249343504 13775777087264 14263378953232 16021877728288 19823679223136 20528030839369 25399089004643 25602498687008 28526757906464 36549908567657 41056061678738 50798178009286 73099817135314 82112123357476 101596356018572 146199634270628 164224246714952 203192712037144 292399268541256 328448493429904 406385424074288 584798537082512 656896986859808 812770848148576 1169597074165024 1498546251273937 2997092502547874 5994185005095748 11988370010191496 23976740020382992 47953480040765984
• Sum of all divisors σ(n): 99836870948245998
• Sum of proper divisors (its aliquot sum) s(n): 51883390907480014
• 47953480040765984 is an abundant number, because the sum of its proper divisors (51883390907480014) is greater than itself. Its abundance is 3929910866714030

Bases of 47953480040765984

• Binary: 10101010010111010110111110011111100100101101101000100000₂
• Hexadecimal: 0xAA5D6F9F92DA20
• Base-36: D4638LY3VVK

Squares and roots of 47953480040765984

• 47953480040765984 squared (47953480040765984²) is 2299536248020141598510505451488256
• 47953480040765984 cubed (47953480040765984³) is 110270765572451757635550677040446743398163020283904
• The square root of 47953480040765984 is 218982830.4702585215
• The cube root of 47953480040765984 is 363306.6745396991

Scales and comparisons

• 47,953,480,040,765,984 seconds is equal to 1,524,772,335 years, 23 weeks, 10 hours, 59 minutes, 44 seconds.
• To count from 1 to 47,953,480,040,765,984 would take you about four billion, five hundred seventy-four million, three hundred seventeen thousand and 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 47953480040765984 cubic inches would be around 30275.6 feet tall.

Recreational maths with 47953480040765984

• 47953480040765984 backwards is 48956704008435974
• The number of decimal digits it has is: 17
• The sum of 47953480040765984's digits is 83
• More coming soon!