34625935376947712

Names of 34625935376947712

• Cardinal: 34625935376947712 can be written as Thirty-four quadrillion, six hundred twenty-five trillion, nine hundred thirty-five billion, three hundred seventy-six million, nine hundred forty-seven thousand, seven hundred twelve.

Scientific notation

• Scientific notation: 3.4625935376947712 × 10¹⁶

Factors of 34625935376947712

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 1253

Divisors of 34625935376947712

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 151 196 224 256 302 343 392 448 512 604 686 784 896 1057 1093 1208 1372 1568 1792 2114 2186 2416 2744 3136 3584 4228 4372 4832 5488 6272 7399 7651 8456 8744 9664 10976 12544 14798 15302 16912 17488 19328 21952 25088 29596 30604 33824 34976 38656 43904 51793 53557 59192 61208 67648 69952 77312 87808 103586 107114 118384 122416 135296 139904 165043 175616 207172 214228 236768 244832 270592 279808 330086 374899 414344 428456 473536 489664 541184 559616 660172 749798 828688 856912 947072 979328 1155301 1194649 1320344 1499596 1657376 1713824 1894144 1958656 2310602 2389298 2640688 2999192 3314752 3427648 3788288 3917312 4621204 4778596 5281376 5998384 6629504 6855296 8087107 8362543 9242408 9557192 10562752 11996768 13259008 13710592 16174214 16725086 18484816 19114384 21125504 23993536 26518016 27421184 32348428 33450172 36969632 38228768 42251008 47987072 56609749 58537801 64696856 66900344 73939264 76457536 84502016 95974144 113219498 117075602 129393712 133800688 147878528 152915072 180391999 191948288 226438996 234151204 258787424 267601376 295757056 305830144 360783998 409764607 452877992 468302408 517574848 535202752 591514112 611660288 721567996 819529214 905755984 936604816 1035149696 1070405504 1262743993 1305751357 1443135992 1639058428 1811511968 1873209632 2070299392 2140811008 2525487986 2611502714 2886271984 3278116856 3623023936 3746419264 4140598784 4281622016 5050975972 5223005428 5772543968 6556233712 7246047872 7492838528 8839207951 9140259499 10101951944 10446010856 11545087936 13112467424 14492095744 14985677056 17678415902 18280518998 20203903888 20892021712 23090175872 26224934848 28984191488 29971354112 35356831804 36561037996 40407807776 41784043424 46180351744 52449869696 61874455657 63981816493 70713663608 73122075992 80815615552 83568086848 92360703488 104899739392 123748911314 127963632986 141427327216 146244151984 161631231104 167136173696 197168454907 209799478784 247497822628 255927265972 282854654432 292488303968 323262462208 334272347392 394336909814 447872715451 494995645256 511854531944 565709308864 584976607936 646524924416 668544694784 788673819628 895745430902 989991290512 1023709063888 1131418617728 1169953215872 1380179184349 1577347639256 1791490861804 1979982581024 2047418127776 2262837235456 2339906431744 2760358368698 3154695278512 3582981723608 3959965162048 4094836255552 4525674470912 4679812863488 5520716737396 6309390557024 7165963447216 7919930324096 8189672511104 9661254290443 11041433474792 12618781114048 14331926894432 15839860648192 16379345022208 19322508580886 22082866949584 25237562228096 28663853788864 31679721296384 32758690044416 38645017161772 44165733899168 50475124456192 57327707577728 67628780033101 77290034323544 88331467798336 100950248912384 114655415155456 135257560066202 154580068647088 176662935596672 229310830310912 270515120132404 309160137294176 353325871193344 541030240264808 618320274588352 706651742386688 1082060480529616 1236640549176704 2164120961059232 2473281098353408 4328241922118464 4946562196706816 8656483844236928 17312967688473856 34625935376947712
• Sum of all divisors σ(n): 81290018504640000
• Sum of proper divisors (its aliquot sum) s(n): 46664083127692288
• 34625935376947712 is an abundant number, because the sum of its proper divisors (46664083127692288) is greater than itself. Its abundance is 12038147750744576

Bases of 34625935376947712

• Binary: 1111011000001000001101011010010001010001001101000000000₂
• Hexadecimal: 0x7B041AD2289A00
• Base-36: 9GXVB449YBK

Squares and roots of 34625935376947712

• 34625935376947712 squared (34625935376947712²) is 1198955400728559090311017582034944
• 34625935376947712 cubed (34625935376947712³) is 41514952225469534799441906728938584612484444848128
• The square root of 34625935376947712 is 186080454.0432651459
• The cube root of 34625935376947712 is 325937.1307150101

Scales and comparisons

• 34,625,935,376,947,712 seconds is equal to 1,100,997,639 years, 48 weeks, 4 days, 21 hours, 28 minutes, 32 seconds.
• To count from 1 to 34,625,935,376,947,712 would take you about three billion, three hundred two million, nine hundred ninety-two thousand, nine hundred nineteen 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 34625935376947712 cubic inches would be around 27161.4 feet tall.

Recreational maths with 34625935376947712

• 34625935376947712 backwards is 21774967353952643
• The number of decimal digits it has is: 17
• The sum of 34625935376947712's digits is 83
• More coming soon!