442105376031417672

Names of 442105376031417672

• Cardinal: 442105376031417672 can be written as Four hundred forty-two quadrillion, one hundred five trillion, three hundred seventy-six billion, thirty-one million, four hundred seventeen thousand, six hundred seventy-two.

Scientific notation

• Scientific notation: 4.42105376031417672 × 10¹⁷

Factors of 442105376031417672

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 85596

Divisors of 442105376031417672

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 131 147 168 196 252 262 294 392 393 441 504 524 588 786 882 917 1048 1176 1179 1572 1764 1834 2358 2751 3144 3528 3668 4716 5502 6419 7336 8253 9432 11004 12838 16506 17161 19257 22008 25676 33012 34322 38514 51352 51483 57771 66024 68644 77028 85453 102966 115542 120127 137288 154056 154449 170906 205932 231084 240254 256359 308898 341812 360381 411864 462168 480508 512718 598171 617796 683624 720762 769077 840889 961016 1025436 1081143 1196342 1235592 1441524 1538154 1681778 1794513 2050872 2162286 2392684 2522667 2883048 3076308 3363556 3589026 4187197 4324572 4785368 5045334 5383539 6152616 6727112 7178052 7568001 8374394 8649144 10090668 10767078 11194343 12561591 14356104 15136002 16748788 20181336 21534156 22388686 25123182 30272004 33497576 33583029 37684773 43068312 44777372 50246364 60544008 67166058 75369546 78360401 89554744 100492728 100749087 134332116 150739092 156720802 201498174 235081203 268664232 301478184 313441604 402996348 470162406 548522807 626883208 705243609 805992696 940324812 1097045614 1410487218 1466458933 1645568421 1880649624 2194091228 2820974436 2932917866 3291136842 4388182456 4399376799 4936705263 5641948872 5865835732 6582273684 7302215209 8798753598 9873410526 10265212531 11731671464 13164547368 13198130397 14604430418 17597507196 19746821052 20530425062 21906645627 26396260794 29208860836 30795637593 35195014392 39493642104 41060850124 43813291254 51115506463 52792521588 58417721672 61591275186 65719936881 71856487717 82121700248 87626582508 92386912779 102231012926 105585043176 123182550372 131439873762 143712975434 153346519389 175253165016 184773825558 204462025852 215569463151 246365100744 262879747524 287425950868 306693038778 357808545241 369547651116 408924051704 431138926302 460039558167 525759495048 574851901736 613386077556 646708389453 715617090482 739095302232 862277852604 920079116334 956590192379 1073425635723 1226772155112 1293416778906 1431234180964 1724555705208 1840158232668 1913180384758 2146851271446 2586833557812 2862468361928 2869770577137 3220276907169 3680316465336 3826360769516 4293702542892 5173667115624 5739541154274 6440553814338 6696131346653 7652721539032 8587405085784 8609311731411 11479082308548 12881107628676 13392262693306 17218623462822 20088394039959 22958164617096 25762215257352 26784525386612 34437246925644 40176788079918 46872919426571 53569050773224 60265182119877 68874493851288 80353576159836 93745838853142 120530364239754 125313315201649 140618758279713 160707152319672 187491677706284 241060728479508 250626630403298 281237516559426 374983355412568 375939945604947 421856274839139 482121456959016 501253260806596 562475033118852 751879891209894 843712549678278 877193206411543 1002506521613192 1124950066237704 1127819836814841 1503759782419788 1687425099356556 1754386412823086 2255639673629682 2631579619234629 3007519564839576 3374850198713112 3508772825646172 4511279347259364 5263159238469258 6140352444880801 7017545651292344 7894738857703887 9022558694518728 10526318476938516 12280704889761602 15789477715407774 18421057334642403 21052636953877032 24561409779523204 31578955430815548 36842114669284806 49122819559046408 55263172003927209 63157910861631096 73684229338569612 110526344007854418 147368458677139224 221052688015708836 442105376031417672
• Sum of all divisors σ(n): 1403587587834853785
• Sum of proper divisors (its aliquot sum) s(n): 961482211803436113
• 442105376031417672 is an abundant number, because the sum of its proper divisors (961482211803436113) is greater than itself. Its abundance is 519376835772018441

Bases of 442105376031417672

• Binary: 11000100010101011000111111101000011101001001010010101001000₂
• Hexadecimal: 0x622AC7F43A4A548
• Base-36: 3CX59XWYKAQ0

Squares and roots of 442105376031417672

• 442105376031417672 squared (442105376031417672²) is 195457163515881219386196414113899584
• 442105376031417672 cubed (442105376031417672³) is 86412662774222957521465177813312842676770251771048448
• The square root of 442105376031417672 is 664910051.0831654379
• The cube root of 442105376031417672 is 761801.6903865213

Scales and comparisons

• 442,105,376,031,417,672 seconds is equal to 14,057,583,436 years, 4 weeks, 2 days, 1 minute, 12 seconds.
• To count from 1 to 442,105,376,031,417,672 would take you about forty-two billion, one hundred seventy-two million, seven hundred fifty thousand, three hundred eight 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 442105376031417672 cubic inches would be around 63483.5 feet tall.

Recreational maths with 442105376031417672

• 442105376031417672 backwards is 276714130673501244
• 442105376031417672 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 442105376031417672's digits is 63
• More coming soon!