34400891853275136

Names of 34400891853275136

• Cardinal: 34400891853275136 can be written as Thirty-four quadrillion, four hundred trillion, eight hundred ninety-one billion, eight hundred fifty-three million, two hundred seventy-five thousand, one hundred thirty-six.

Scientific notation

• Scientific notation: 3.4400891853275136 × 10¹⁶

Factors of 34400891853275136

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 373074672

Divisors of 34400891853275136

• Number of divisors d(n): 272
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 67 84 96 112 128 134 168 192 201 224 256 268 336 384 402 448 469 512 536 672 768 804 896 938 1024 1072 1344 1407 1536 1608 1792 1876 2048 2144 2688 2814 3072 3216 3584 3752 4096 4288 5376 5628 6144 6432 7168 7504 8192 8576 10752 11256 12288 12864 14336 15008 16384 17152 21504 22512 24576 25728 28672 30016 32768 34304 43008 45024 49152 51456 57344 60032 65536 68608 86016 90048 98304 102912 114688 120064 137216 172032 180096 196608 205824 229376 240128 274432 344064 360192 411648 458752 480256 548864 688128 720384 823296 960512 1097728 1376256 1440768 1646592 1921024 2195456 2881536 3293184 3842048 4390912 5763072 6586368 7684096 11526144 13172736 15368192 23052288 30736384 46104576 92209152 373074593 746149186 1119223779 1492298372 2238447558 2611522151 2984596744 4476895116 5223044302 5969193488 7834566453 8953790232 10446088604 11938386976 15669132906 17907580464 20892177208 23876773952 24995997731 31338265812 35815160928 41784354416 47753547904 49991995462 62676531624 71630321856 74987993193 83568708832 95507095808 99983990924 125353063248 143260643712 149975986386 167137417664 174971984117 191014191616 199967981848 250706126496 286521287424 299951972772 334274835328 349943968234 382028383232 399935963696 501412252992 524915952351 573042574848 599903945544 668549670656 699887936468 764056766464 799871927392 1002824505984 1049831904702 1146085149696 1199807891088 1337099341312 1399775872936 1528113532928 1599743854784 2005649011968 2099663809404 2292170299392 2399615782176 2674198682624 2799551745872 3056227065856 3199487709568 4011298023936 4199327618808 4584340598784 4799231564352 5348397365248 5599103491744 6112454131712 6398975419136 8022596047872 8398655237616 9168681197568 9598463128704 10696794730496 11198206983488 12224908263424 12797950838272 16045192095744 16797310475232 18337362395136 19196926257408 21393589460992 22396413966976 24449816526848 25595901676544 32090384191488 33594620950464 36674724790272 38393852514816 42787178921984 44792827933952 51191803353088 64180768382976 67189241900928 73349449580544 76787705029632 85574357843968 89585655867904 102383606706176 128361536765952 134378483801856 153575410059264 171148715687936 179171311735808 204767213412352 256723073531904 268756967603712 307150820118528 358342623471616 409534426824704 513446147063808 537513935207424 614301640237056 716685246943232 819068853649408 1075027870414848 1228603280474112 1433370493886464 1638137707298816 2150055740829696 2457206560948224 2866740987772928 4300111481659392 4914413121896448 5733481975545856 8600222963318784 11466963951091712 17200445926637568 34400891853275136
• Sum of all divisors σ(n): 106404789999738624
• Sum of proper divisors (its aliquot sum) s(n): 72003898146463488
• 34400891853275136 is an abundant number, because the sum of its proper divisors (72003898146463488) is greater than itself. Its abundance is 37603006293188352

Bases of 34400891853275136

• Binary: 1111010001101110110110111001010110111110000000000000000₂
• Hexadecimal: 0x7A376DCADF0000
• Base-36: 9EQ3JJOQEIO

Squares and roots of 34400891853275136

• 34400891853275136 squared (34400891853275136²) is 1183421360300731621170809715818496
• 34400891853275136 cubed (34400891853275136³) is 40710750232561217876062092369636196175084525715456
• The square root of 34400891853275136 is 185474774.1696296983
• The cube root of 34400891853275136 is 325229.4769168505

Scales and comparisons

• 34,400,891,853,275,136 seconds is equal to 1,093,841,951 years, 51 weeks, 3 days, 25 minutes, 36 seconds.
• To count from 1 to 34,400,891,853,275,136 would take you about three billion, two hundred eighty-one million, five hundred twenty-five thousand, eight hundred fifty-five 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 34400891853275136 cubic inches would be around 27102.5 feet tall.

Recreational maths with 34400891853275136

• 34400891853275136 backwards is 63157235819800443
• The number of decimal digits it has is: 17
• The sum of 34400891853275136's digits is 69
• More coming soon!