349206906713785344

Names of 349206906713785344

• Cardinal: 349206906713785344 can be written as Three hundred forty-nine quadrillion, two hundred six trillion, nine hundred six billion, seven hundred thirteen million, seven hundred eighty-five thousand, three hundred forty-four.

Scientific notation

• Scientific notation: 3.49206906713785344 × 10¹⁷

Factors of 349206906713785344

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 879383

Divisors of 349206906713785344

• Number of divisors d(n): 297
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 256 288 294 336 384 392 441 448 504 512 576 588 672 768 784 882 896 1008 1024 1152 1176 1344 1536 1568 1764 1792 2016 2304 2352 2688 3072 3136 3528 3584 4032 4608 4704 5376 6272 7056 7168 8064 9216 9408 10752 12544 14112 16128 18816 21504 25088 28224 32256 37632 50176 56448 64512 75264 112896 150528 225792 451584 879371 1758742 2638113 3517484 5276226 6155597 7034968 7914339 10552452 12311194 14069936 15828678 18466791 21104904 24622388 28139872 31657356 36933582 42209808 43089179 49244776 55400373 56279744 63314712 73867164 84419616 86178358 98489552 110800746 112559488 126629424 129267537 147734328 168839232 172356716 196979104 221601492 225118976 253258848 258535074 295468656 337678464 344713432 387802611 393958208 443202984 450237952 506517696 517070148 590937312 675356928 689426864 775605222 787916416 886405968 900475904 1013035392 1034140296 1181874624 1350713856 1378853728 1551210444 1575832832 1772811936 2026070784 2068280592 2363749248 2701427712 2757707456 3102420888 3151665664 3545623872 4052141568 4136561184 4727498496 5515414912 6204841776 6303331328 7091247744 8104283136 8273122368 9454996992 11030829824 12409683552 14182495488 16546244736 18909993984 22061659648 24819367104 28364990976 33092489472 44123319296 49638734208 56729981952 66184978944 99277468416 132369957888 198554936832 397109873664 773293355641 1546586711282 2319880066923 3093173422564 4639760133846 5413053489487 6186346845128 6959640200769 9279520267692 10826106978974 12372693690256 13919280401538 16239160468461 18559040535384 21652213957948 24745387380512 27838560803076 32478320936922 37118081070768 37891374426409 43304427915896 48717481405383 49490774761024 55677121606152 64956641873844 74236162141536 75782748852818 86608855831792 97434962810766 98981549522048 111354243212304 113674123279227 129913283747688 148472324283072 151565497705636 173217711663584 194869925621532 197963099044096 222708486424608 227348246558454 259826567495376 296944648566144 303130995411272 341022369837681 346435423327168 389739851243064 395926198088192 445416972849216 454696493116908 519653134990752 593889297132288 606261990822544 682044739675362 692870846654336 779479702486128 791852396176384 890833945698432 909392986233816 1039306269981504 1187778594264576 1212523981645088 1364089479350724 1385741693308672 1558959404972256 1781667891396864 1818785972467632 2078612539963008 2375557188529152 2425047963290176 2728178958701448 2771483386617344 3117918809944512 3563335782793728 3637571944935264 4157225079926016 4850095926580352 5456357917402896 5542966773234688 6235837619889024 7126671565587456 7275143889870528 8314450159852032 9700191853160704 10912715834805792 12471675239778048 14550287779741056 16628900319704064 19400383706321408 21825431669611584 24943350479556096 29100575559482112 38800767412642816 43650863339223168 49886700959112192 58201151118964224 87301726678446336 116402302237928448 174603453356892672 349206906713785344
• Sum of all divisors σ(n): 1172953574612063751
• Sum of proper divisors (its aliquot sum) s(n): 823746667898278407
• 349206906713785344 is an abundant number, because the sum of its proper divisors (823746667898278407) is greater than itself. Its abundance is 474539761184493063

Bases of 349206906713785344

• Binary: 10011011000101000011101010011011011110010011100010000000000₂
• Hexadecimal: 0x4D8A1D4DBC9C400
• Base-36: 2NIFIM9U8SG0

Squares and roots of 349206906713785344

• 349206906713785344 squared (349206906713785344²) is 121945463696610379562260845309198336
• 349206906713785344 cubed (349206906713785344³) is 42584198165271518088347295565188691141665336625987584
• 349206906713785344 is a perfect square number. Its square root is 590937312
• The cube root of 349206906713785344 is 704197.1691798169

Scales and comparisons

• 349,206,906,713,785,344 seconds is equal to 11,103,699,465 years, 31 weeks, 6 days, 15 hours, 2 minutes, 24 seconds.
• To count from 1 to 349,206,906,713,785,344 would take you about thirty-three billion, three hundred eleven million, ninety-eight thousand, three hundred ninety-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 349206906713785344 cubic inches would be around 58683.1 feet tall.

Recreational maths with 349206906713785344

• 349206906713785344 backwards is 443587317609602943
• The number of decimal digits it has is: 18
• The sum of 349206906713785344's digits is 81
• More coming soon!