32971125212584965

Names of 32971125212584965

• Cardinal: 32971125212584965 can be written as Thirty-two quadrillion, nine hundred seventy-one trillion, one hundred twenty-five billion, two hundred twelve million, five hundred eighty-four thousand, nine hundred sixty-five.

Scientific notation

• Scientific notation: 3.2971125212584965 × 10¹⁶

Factors of 32971125212584965

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 3885

Divisors of 32971125212584965

• Number of divisors d(n): 480
• Complete list of divisors:
  1 3 5 7 9 15 19 21 27 35 45 49 57 63 95 105 133 135 147 171 189 245 285 315 343 361 399 441 513 665 735 855 931 945 1029 1083 1197 1323 1715 1805 1995 2205 2401 2527 2565 2793 3087 3249 3591 3851 4655 5145 5415 5985 6517 6615 6859 7203 7581 8379 9261 9747 11553 12005 12635 13965 15435 16245 17689 17955 19255 19551 20577 21609 22743 25137 26957 32585 34295 34659 36015 37905 41895 45619 46305 48013 48735 53067 57765 58653 61731 64827 68229 73169 80871 88445 97755 102885 103977 108045 113715 123823 125685 134785 136857 144039 159201 173295 175959 185193 188699 219507 228095 240065 242613 265335 293265 308655 324135 336091 341145 365845 371469 404355 410571 432117 477603 512183 519885 566097 619115 658521 684285 720195 727839 796005 866761 879795 925965 943495 1008273 1097535 1114407 1213065 1231713 1296351 1320893 1390211 1536549 1680455 1698291 1857345 1975563 2052855 2160585 2352637 2388015 2560915 2600283 2830485 3024819 3292605 3343221 3585281 3639195 3962679 4170633 4333805 4609647 5041365 5094873 5572035 6158565 6481755 6604465 6951055 7057911 7682745 7800849 8491455 9074457 9246251 9731477 9877815 10755843 11763185 11888037 12511899 13001415 13828941 14830201 15124095 16468459 16716105 17926405 19813395 20853165 21173733 23048235 23402547 25096967 25474365 26414009 27738753 29194431 32267529 35289555 35664111 37535697 39004245 44490603 45372285 46231255 48657385 49405377 53779215 59440185 62559495 63521199 68120339 69144705 74151005 75290901 79242027 82342295 83216259 87583293 96802587 103811407 105868665 117012735 125484835 132070045 133471809 138693765 145972155 148216131 161337645 175678769 178320555 184898063 187678485 204361017 222453015 225872703 237726081 247026885 249648777 262749879 281773819 311434221 317605995 340601695 376454505 396210135 400415427 416081295 437916465 444648393 476842373 484012935 519057035 527036307 554694189 613083051 667359045 677618109 713178243 726679849 741080655 845321457 878393845 924490315 934302663 1021805085 1129363515 1188630405 1248243885 1294286441 1313749395 1408869095 1430527119 1557171105 1581108921 1664082567 1839249153 1972416733 2002077135 2180039547 2223241965 2384211865 2535964371 2635181535 2773470945 2802907989 3065415255 3337896611 3388090545 3565891215 3633399245 3882859323 4226607285 4291581357 4671513315 4743326763 4992247701 5086758943 5353702561 5917250199 6471432205 6540118641 7152635595 7607893113 7905544605 8320412835 9060005087 9196245765 9862083665 10013689833 10900197735 11648577969 12679821855 12874744071 13806917131 14014539945 15260276829 16061107683 16689483055 17751750597 19414296615 19620355923 21457906785 23716633815 24961238505 25433794715 26768512805 27180015261 29586250995 30041069499 32700593205 34945733907 35607312601 37475917927 38039465565 41420751393 45300025435 45780830487 48183323049 50068449165 53255251791 58242889845 63420035609 64373720355 69034585655 76301384145 80305538415 81540045783 88758752985 90123208497 96648419917 98101779615 101720348659 106821937803 112427753781 124262254179 135900076305 137342491461 144549969147 150205347495 174728669535 178036563005 187379589635 190260106827 207103756965 228904152435 240916615245 244620137349 262331425489 266276258955 289945259751 305161045977 317100178045 320465813409 337283261343 372786762537 407700228915 450616042485 483242099585 508601743295 534109689015 562138768905 570780320481 621311270895 676538939419 686712457305 712042440613 722749845735 786994276467 869835779253 915483137931 951300534135 961397440227 1011849784029 1223100686745 1311657127445 1449726298755 1525805229885 1602329067045 1686416306715 1712340961443 1836319978423 1863933812685 2029616818257 2136127321839 2360982829401 2609507337759 2746449413793 2853901602405 3382694697095 3560212203065 3934971382335 4349178896265 4577415689655 4806987201135 4984297084291 5059248920145 5508959935269 6088850454771 6408381965517 7082948488203 8561704807215 9181599892115 10148084091285 10680636609195 11804914147005 12854239848961 13047536688795 13732247068965 14952891252873 16526879805807 18266551364313 19225145896551 24921485421455 27544799676345 30444252273855 32041909827585 34890079590037 35414742441015 38562719546883 44858673758619 49580639417421 64271199244805 74764456264365 82634399029035 91332756821565 96125729482755 104670238770111 115688158640649 134576021275857 174450397950185 192813597734415 224293368793095 244230557130259 247903197087105 314010716310333 347064475921947 523351193850555 578440793203245 672880106379285 732691671390777 942032148930999 1221152785651295 1570053581551665 1735322379609735 2198075014172331 3663458356953885 4710160744654995 6594225042516993 10990375070861655 32971125212584965
• Sum of all divisors σ(n): 72197597030332800
• Sum of proper divisors (its aliquot sum) s(n): 39226471817747835
• 32971125212584965 is an abundant number, because the sum of its proper divisors (39226471817747835) is greater than itself. Its abundance is 6255346605162870

Bases of 32971125212584965

• Binary: 1110101001000110001000001001110001001000001110000000101₂
• Hexadecimal: 0x7523104E241C05
• Base-36: 90NADTICHZ9

Squares and roots of 32971125212584965

• 32971125212584965 squared (32971125212584965²) is 1087095097783955953463617344051225
• 32971125212584965 cubed (32971125212584965³) is 35842748587022108050216964331485667736647624832125
• The square root of 32971125212584965 is 181579528.6164851927
• The cube root of 32971125212584965 is 320659.8533045327

Scales and comparisons

• 32,971,125,212,584,965 seconds is equal to 1,048,379,795 years, 19 weeks, 3 days, 42 minutes, 45 seconds.
• To count from 1 to 32,971,125,212,584,965 would take you about three billion, one hundred forty-five million, one hundred thirty-nine thousand, three hundred eighty-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 32971125212584965 cubic inches would be around 26721.7 feet tall.

Recreational maths with 32971125212584965

• 32971125212584965 backwards is 56948521252117923
• The number of decimal digits it has is: 17
• The sum of 32971125212584965's digits is 72
• More coming soon!