468346980997152

Names of 468346980997152

• Cardinal: 468346980997152 can be written as Four hundred sixty-eight trillion, three hundred forty-six billion, nine hundred eighty million, nine hundred ninety-seven thousand, one hundred fifty-two.

Scientific notation

• Scientific notation: 4.68346980997152 × 10¹⁴

Factors of 468346980997152

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 37427

Divisors of 468346980997152

• Number of divisors d(n): 312
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 751 864 972 1296 1458 1502 1944 2187 2253 2592 2916 3004 3888 4374 4506 5832 6008 6561 6759 7776 8748 9012 11664 12016 13122 13518 17496 18024 19683 20277 23328 24032 26244 27036 34992 36048 36671 39366 40554 52488 54072 59049 60831 69984 72096 73342 78732 81108 104976 108144 110013 118098 121662 146684 157464 162216 177147 182493 209952 216288 220026 236196 243324 293368 314928 324432 330039 354294 364986 440052 472392 486648 531441 547479 586736 629856 648864 660078 708588 729972 880104 944784 973296 990117 1062882 1094958 1173472 1320156 1417176 1459944 1642437 1760208 1889568 1946592 1980234 2125764 2189916 2640312 2834352 2919888 2970351 3284874 3520416 3960468 4251528 4379832 4927311 5280624 5668704 5839776 5940702 6569748 7920936 8503056 8759664 8911053 9854622 10561248 11881404 13139496 14781933 15841872 17006112 17519328 17822106 19709244 23762808 26278992 26733159 27539921 29563866 31683744 35644212 39418488 44345799 47525616 52557984 53466318 55079842 59127732 71288424 78836976 80199477 82619763 88691598 95051232 106932636 110159684 118255464 133037397 142576848 157673952 160398954 165239526 177383196 213865272 220319368 236510928 240598431 247859289 266074794 285153696 320797908 330479052 354766392 399112191 427730544 440638736 473021856 481196862 495718578 532149588 641595816 660958104 709532784 721795293 743577867 798224382 855461088 881277472 962393724 991437156 1064299176 1283191632 1321916208 1419065568 1443590586 1487155734 1596448764 1924787448 1982874312 2128598352 2165385879 2230733601 2566383264 2643832416 2887181172 2974311468 3192897528 3849574896 3965748624 4257196704 4330771758 4461467202 5774362344 5948622936 6385795056 6496157637 6692200803 7699149792 7931497248 8661543516 8922934404 11548724688 11897245872 12771590112 12992315274 13384401606 17323087032 17845868808 19488472911 20076602409 23097449376 23794491744 25984630548 26768803212 34646174064 35691737616 38976945822 40153204818 51969261096 53537606424 60229807227 69292348128 71383475232 77953891644 80306409636 103938522192 107075212848 120459614454 155907783288 160612819272 180689421681 207877044384 214150425696 240919228908 311815566576 321225638544 361378843362 481838457816 542068265043 623631133152 642451277088 722757686724 963676915632 1084136530086 1445515373448 1626204795129 1927353831264 2168273060172 2891030746896 3252409590258 4336546120344 4878614385387 5782061493792 6504819180516 8673092240688 9757228770774 13009638361032 14635843156161 17346184481376 19514457541548 26019276722064 29271686312322 39028915083096 52038553444128 58543372624644 78057830166192 117086745249288 156115660332384 234173490498576 468346980997152
• Sum of all divisors σ(n): 1384965736584192
• Sum of proper divisors (its aliquot sum) s(n): 916618755587040
• 468346980997152 is an abundant number, because the sum of its proper divisors (916618755587040) is greater than itself. Its abundance is 448271774589888

Bases of 468346980997152

• Binary: 1101010011111010110000111011011110001100000100000₂
• Hexadecimal: 0x1A9F5876F1820
• Base-36: 4M0JMS4I00

Squares and roots of 468346980997152

• 468346980997152 squared (468346980997152²) is 219348894609146656596232111104
• 468346980997152 cubed (468346980997152³) is 102731392575256305951242195532828907971575808
• The square root of 468346980997152 is 21641325.7680104249
• The cube root of 468346980997152 is 77658.5436211409

Scales and comparisons

• 468,346,980,997,152 seconds is equal to 14,891,985 years, 15 weeks, 5 days, 10 hours, 19 minutes, 12 seconds.
• To count from 1 to 468,346,980,997,152 would take you about thirty-seven million, two hundred twenty-nine thousand, nine hundred sixty-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 468346980997152 cubic inches would be around 6471.5 feet tall.

Recreational maths with 468346980997152

• 468346980997152 backwards is 251799089643864
• 468346980997152 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 468346980997152's digits is 81
• More coming soon!