34816249768813020

Names of 34816249768813020

• Cardinal: 34816249768813020 can be written as Thirty-four quadrillion, eight hundred sixteen trillion, two hundred forty-nine billion, seven hundred sixty-eight million, eight hundred thirteen thousand and twenty.

Scientific notation

• Scientific notation: 3.481624976881302 × 10¹⁶

Factors of 34816249768813020

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 1063576

Divisors of 34816249768813020

• Number of divisors d(n): 180
• Complete list of divisors:
  1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 684 810 855 1026 1140 1539 1620 1710 2052 2565 3078 3420 5130 6156 7695 10260 15390 30780 1063547 2127094 3190641 4254188 5317735 6381282 9571923 10635470 12762564 15953205 19143846 20207393 21270940 28715769 31906410 38287692 40414786 47859615 57431538 60622179 63812820 80829572 86147307 95719230 101036965 114863076 121244358 143578845 172294614 181866537 191438460 202073930 242488716 287157690 303110895 344589228 363733074 404147860 430736535 545599611 574315380 606221790 727466148 861473070 909332685 1091199222 1212443580 1636798833 1722946140 1818665370 2182398444 2727998055 3273597666 3637330740 5455996110 6547195332 8183994165 10911992220 16367988330 32735976660 1131132221209 2262264442418 3393396663627 4524528884836 5655661106045 6786793327254 10180189990881 11311322212090 13573586654508 16966983318135 20360379981762 21491512202971 22622644424180 30540569972643 33933966636270 40720759963524 42983024405942 50900949954405 61081139945286 64474536608913 67867933272540 85966048811884 91621709917929 101801899908810 107457561014855 122162279890572 128949073217826 152702849863215 183243419835858 193423609826739 203603799817620 214915122029710 257898146435652 305405699726430 322372683044565 366486839671716 386847219653478 429830244059420 458108549589645 580270829480217 610811399452860 644745366089130 773694439306956 916217099179290 967118049133695 1160541658960434 1289490732178260 1740812488440651 1832434198358580 1934236098267390 2321083317920868 2901354147401085 3481624976881302 3868472196534780 5802708294802170 6963249953762604 8704062442203255 11605416589604340 17408124884406510 34816249768813020
• Sum of all divisors σ(n): 114968387062701480
• Sum of proper divisors (its aliquot sum) s(n): 80152137293888460
• 34816249768813020 is an abundant number, because the sum of its proper divisors (80152137293888460) is greater than itself. Its abundance is 45335887525075440

Bases of 34816249768813020

• Binary: 1111011101100010011000111010111111000011010000111011100₂
• Hexadecimal: 0x7BB131D7E1A1DC
• Base-36: 9ITBWC7F5R0

Squares and roots of 34816249768813020

• 34816249768813020 squared (34816249768813020²) is 1212171247964372668597419721520400
• 34816249768813020 cubed (34816249768813020³) is 42203256931701379863340449531806325289257715608000
• The square root of 34816249768813020 is 186591129.9306937043
• The cube root of 34816249768813020 is 326533.1889956919

Scales and comparisons

• 34,816,249,768,813,020 seconds is equal to 1,107,049,048 years, 47 weeks, 4 days, 16 hours, 57 minutes.
• To count from 1 to 34,816,249,768,813,020 would take you about three billion, three hundred twenty-one million, one hundred forty-seven thousand, one hundred forty-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 34816249768813020 cubic inches would be around 27211.1 feet tall.

Recreational maths with 34816249768813020

• 34816249768813020 backwards is 02031886794261843
• The number of decimal digits it has is: 17
• The sum of 34816249768813020's digits is 72
• More coming soon!