34464747745822464

Names of 34464747745822464

• Cardinal: 34464747745822464 can be written as Thirty-four quadrillion, four hundred sixty-four trillion, seven hundred forty-seven billion, seven hundred forty-five million, eight hundred twenty-two thousand, four hundred sixty-four.

Scientific notation

• Scientific notation: 3.4464747745822464 × 10¹⁶

Factors of 34464747745822464

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 10963156

Divisors of 34464747745822464

• Number of divisors d(n): 324
• 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 98 112 126 128 144 147 168 192 196 224 252 256 288 294 336 384 392 441 448 504 576 588 672 768 784 882 896 1008 1152 1176 1344 1568 1764 1792 2016 2304 2352 2688 3136 3528 4032 4704 5376 6272 7056 8064 9408 12544 14112 16128 18816 27917 28224 37632 55834 56448 83751 111668 112896 167502 195419 223336 251253 335004 390838 446672 502506 586257 670008 781676 893344 1005012 1172514 1340016 1367933 1563352 1758771 1786688 2010024 2345028 2680032 2735866 3126704 3517542 3573376 4020048 4103799 4690056 5360064 5471732 6253408 7035084 7146752 8040096 8207598 9380112 10720128 10935227 10943464 12311397 12506816 14070168 16080192 16415196 18760224 21440256 21870454 21886928 24622794 25013632 28140336 32160384 32805681 32830392 37520448 43740908 43773856 49245588 50027264 56280672 64320768 65611362 65660784 75040896 76546589 87481816 87547712 98417043 98491176 112561344 131222724 131321568 150081792 153093178 174963632 175095424 196834086 196982352 225122688 229639767 262445448 262643136 306186356 349927264 350190848 393668172 393964704 450245376 459279534 524890896 525286272 535826123 612372712 688919301 699854528 787336344 787929408 918559068 1049781792 1050572544 1071652246 1224745424 1377838602 1399709056 1574672688 1575858816 1607478369 1837118136 2099563584 2143304492 2449490848 2755677204 2799418112 3149345376 3151717632 3214956738 3674236272 4199127168 4286608984 4822435107 4898981696 5511354408 6298690752 6429913476 7348472544 8398254336 8573217968 9644870214 9797963392 11022708816 12597381504 12859826952 14696945088 17146435936 19289740428 19595926784 22045417632 25194763008 25719653904 29393890176 34292871872 38579480856 44090835264 51439307808 58787780352 68585743744 77158961712 88181670528 102878615616 137171487488 154317923424 176363341056 205757231232 305278732159 308635846848 411514462464 610557464318 617271693696 915836196477 1221114928636 1234543387392 1831672392954 2136951125113 2442229857272 2747508589431 3663344785908 4273902250226 4884459714544 5495017178862 6410853375339 7326689571816 8547804500452 9768919429088 10990034357724 12821706750678 14653379143632 14958657875791 17095609000904 19232560126017 19537838858176 21980068715448 25643413501356 29306758287264 29917315751582 34191218001808 38465120252034 39075677716352 43960137430896 44875973627373 51286827002712 58613516574528 59834631503164 68382436003616 76930240504068 78151355432704 87920274861792 89751947254746 102573654005424 117227033149056 119669263006328 134627920882119 136764872007232 153860481008136 175840549723584 179503894509492 205147308010848 234454066298112 239338526012656 269255841764238 273529744014464 307720962016272 351681099447168 359007789018984 410294616021696 478677052025312 538511683528476 547059488028928 615441924032544 703362198894336 718015578037968 820589232043392 957354104050624 1077023367056952 1230883848065088 1436031156075936 1641178464086784 1914708208101248 2154046734113904 2461767696130176 2872062312151872 3829416416202496 4308093468227808 4923535392260352 5744124624303744 8616186936455616 11488249248607488 17232373872911232 34464747745822464
• Sum of all divisors σ(n): 115598248416554904
• Sum of proper divisors (its aliquot sum) s(n): 81133500670732440
• 34464747745822464 is an abundant number, because the sum of its proper divisors (81133500670732440) is greater than itself. Its abundance is 46668752924909976

Bases of 34464747745822464

• Binary: 1111010011100011000000101100110101010011100011100000000₂
• Hexadecimal: 0x7A718166A9C700
• Base-36: 9FCQEJEG1S0

Squares and roots of 34464747745822464

• 34464747745822464 squared (34464747745822464²) is 1187818837183174613604363807031296
• 34464747745822464 cubed (34464747745822464³) is 40937876591254277648267266365944973434613707833344
• The square root of 34464747745822464 is 185646836.0781364461
• The cube root of 34464747745822464 is 325430.5858679451

Scales and comparisons

• 34,464,747,745,822,464 seconds is equal to 1,095,872,371 years, 44 weeks, 2 days, 10 hours, 14 minutes, 24 seconds.
• To count from 1 to 34,464,747,745,822,464 would take you about three billion, two hundred eighty-seven million, six hundred seventeen thousand, one hundred fifteen 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 34464747745822464 cubic inches would be around 27119.2 feet tall.

Recreational maths with 34464747745822464

• 34464747745822464 backwards is 46422854774746443
• The number of decimal digits it has is: 17
• The sum of 34464747745822464's digits is 81
• More coming soon!