34408011705225408

Names of 34408011705225408

• Cardinal: 34408011705225408 can be written as Thirty-four quadrillion, four hundred eight trillion, eleven billion, seven hundred five million, two hundred twenty-five thousand, four hundred eight.

Scientific notation

• Scientific notation: 3.4408011705225408 × 10¹⁶

Factors of 34408011705225408

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 2167043

Divisors of 34408011705225408

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 587 696 928 1044 1174 1392 1621 1761 1856 2088 2348 2784 3242 3522 4176 4696 4863 5283 5568 6484 7044 8352 9392 9726 10566 12968 14088 14589 16704 17023 18784 19452 21132 25936 28176 29178 34046 37568 38904 42264 47009 51069 51872 56352 58356 68092 77808 84528 94018 102138 103744 112704 116712 136184 141027 153207 155616 169056 188036 204276 233424 272368 282054 306414 311232 338112 376072 408552 423081 466848 544736 564108 612828 752144 817104 846162 933696 951527 1089472 1128216 1225656 1504288 1634208 1692324 1903054 2164801 2256432 2451312 2854581 3008576 3268416 3384648 3806108 4329602 4512864 4902624 5709162 6494403 6769296 7612216 8563743 8659204 9025728 9805248 11418324 12988806 13538592 15224432 17127486 17318408 19483209 22836648 25977612 27077184 27594283 30448864 34254972 34636816 38966418 45673296 51955224 55188566 60897728 62779229 68509944 69273632 77932836 82782849 91346592 103910448 110377132 125558458 137019888 138547264 155865672 165565698 182693184 188337687 207820896 220754264 248348547 251116916 274039776 311731344 331131396 376675374 415641792 441508528 496697094 502233832 548079552 565013061 623462688 662262792 753350748 883017056 993394188 1004467664 1130026122 1246925376 1270738187 1324525584 1506701496 1766034112 1986788376 2008935328 2260052244 2541476374 2649051168 3013402992 3509142421 3812214561 3973576752 4017870656 4520104488 5082952748 5298102336 6026805984 7018284842 7624429122 7947153504 9040208976 10165905496 10527427263 11436643683 12053611968 14036569684 15248858244 15894307008 18080417952 20331810992 21054854526 22873287366 28073139368 30497716488 31582281789 36160835904 36851407423 40663621984 42109709052 45746574732 56146278736 60995432976 63164563578 73702814846 81327243968 84219418104 91493149464 101765130209 110554222269 112292557472 121990865952 126329127156 147405629692 168438836208 182986298928 203530260418 221108444538 224585114944 243981731904 252658254312 294811259384 305295390627 331662666807 336877672416 365972597856 407060520836 442216889076 505316508624 589622518768 610590781254 663325333614 673755344832 731945195712 814121041672 884433778152 915886171881 1010633017248 1179245037536 1221181562508 1326650667228 1628242083344 1768867556304 1831772343762 2021266034496 2059866601127 2358490075072 2442363125016 2653301334456 3256484166688 3537735112608 3663544687524 4119733202254 4884726250032 5306602668912 6179599803381 6512968333376 7075470225216 7327089375048 8239466404508 9769452500064 10613205337824 12359199606762 14654178750096 16478932809016 18538799410143 19538905000128 21226410675648 24718399213524 29308357500192 32957865618032 37077598820286 49436798427048 58616715000384 59736131432683 65915731236064 74155197640572 98873596854096 119472262865366 131831462472128 148310395281144 179208394298049 197747193708192 238944525730732 296620790562288 358416788596098 395494387416384 477889051461464 537625182894147 593241581124576 716833577192196 955778102922928 1075250365788294 1186483162249152 1433667154384392 1911556205845856 2150500731576588 2867334308768784 3823112411691712 4301001463153176 5734668617537568 8602002926306352 11469337235075136 17204005852612704 34408011705225408
• Sum of all divisors σ(n): 102262094701472160
• Sum of proper divisors (its aliquot sum) s(n): 67854082996246752
• 34408011705225408 is an abundant number, because the sum of its proper divisors (67854082996246752) is greater than itself. Its abundance is 33446071291021344

Bases of 34408011705225408

• Binary: 1111010001111011110011110000011000111100001000011000000₂
• Hexadecimal: 0x7A3DE7831E10C0
• Base-36: 9ESMED0R740

Squares and roots of 34408011705225408

• 34408011705225408 squared (34408011705225408²) is 1183911269506928689229852088766464
• 34408011705225408 cubed (34408011705225408³) is 40736032819142674989058075887677114823085791117312
• The square root of 34408011705225408 is 185493966.7623327529
• The cube root of 34408011705225408 is 325251.9126335731

Scales and comparisons

• 34,408,011,705,225,408 seconds is equal to 1,094,068,341 years, 13 weeks, 2 days, 21 hours, 16 minutes, 48 seconds.
• To count from 1 to 34,408,011,705,225,408 would take you about three billion, two hundred eighty-two million, two hundred five thousand and twenty-three 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 34408011705225408 cubic inches would be around 27104.3 feet tall.

Recreational maths with 34408011705225408

• 34408011705225408 backwards is 80452250711080443
• The number of decimal digits it has is: 17
• The sum of 34408011705225408's digits is 54
• More coming soon!