34638090463074672

Names of 34638090463074672

• Cardinal: 34638090463074672 can be written as Thirty-four quadrillion, six hundred thirty-eight trillion, ninety billion, four hundred sixty-three million, seventy-four thousand, six hundred seventy-two.

Scientific notation

• Scientific notation: 3.4638090463074672 × 10¹⁶

Factors of 34638090463074672

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 1911935742

Divisors of 34638090463074672

• Number of divisors d(n): 200
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 1997 2268 3024 3994 4536 5991 7988 9072 11982 13979 15976 17973 23964 27958 31952 35946 41937 47928 53919 55916 71892 83874 95856 107838 111832 125811 143784 161757 167748 215676 223664 251622 287568 323514 335496 377433 431352 503244 647028 670992 754866 862704 1006488 1132299 1294056 1509732 2012976 2264598 2588112 3019464 4529196 6038928 9058392 18116784 1911933733 3823867466 5735801199 7647734932 11471602398 13383536131 15295469864 17207403597 22943204796 26767072262 30590939728 34414807194 40150608393 45886409592 51622210791 53534144524 68829614388 80301216786 91772819184 103244421582 107068289048 120451825179 137659228776 154866632373 160602433572 206488843164 214136578096 240903650358 275318457552 309733264746 321204867144 361355475537 412977686328 481807300716 619466529492 642409734288 722710951074 825955372656 963614601432 1084066426611 1238933058984 1445421902148 1927229202864 2168132853222 2477866117968 2890843804296 3818131664801 4336265706444 5781687608592 7636263329602 8672531412888 11454394994403 15272526659204 17345062825776 22908789988806 26726921653607 30545053318408 34363184983209 45817579977612 53453843307214 61090106636816 68726369966418 80180764960821 91635159955224 103089554949627 106907686614428 137452739932836 160361529921642 183270319910448 206179109899254 213815373228856 240542294882463 274905479865672 309268664848881 320723059843284 412358219798508 427630746457712 481084589764926 549810959731344 618537329697762 641446119686568 721626884647389 824716439597016 962169179529852 1237074659395524 1282892239373136 1443253769294778 1649432879194032 1924338359059704 2164880653942167 2474149318791048 2886507538589556 3848676718119408 4329761307884334 4948298637582096 5773015077179112 8659522615768668 11546030154358224 17319045231537336 34638090463074672
• Sum of all divisors σ(n): 114631868364764256
• Sum of proper divisors (its aliquot sum) s(n): 79993777901689584
• 34638090463074672 is an abundant number, because the sum of its proper divisors (79993777901689584) is greater than itself. Its abundance is 45355687438614912

Bases of 34638090463074672

• Binary: 1111011000011110010100011100101101111111101100101110000₂
• Hexadecimal: 0x7B0F28E5BFD970
• Base-36: 9H26F30PZ00

Squares and roots of 34638090463074672

• 34638090463074672 squared (34638090463074672²) is 1199797310928144545351111847907584
• 34638090463074672 cubed (34638090463074672³) is 41558687793282800519413444694944450079678347112448
• The square root of 34638090463074672 is 186113112.0127614007
• The cube root of 34638090463074672 is 325975.2652362433

Scales and comparisons

• 34,638,090,463,074,672 seconds is equal to 1,101,384,134 years, 4 weeks, 2 hours, 31 minutes, 12 seconds.
• To count from 1 to 34,638,090,463,074,672 would take you about three billion, three hundred four million, one hundred fifty-two thousand, four hundred two 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 34638090463074672 cubic inches would be around 27164.6 feet tall.

Recreational maths with 34638090463074672

• 34638090463074672 backwards is 27647036409083643
• 34638090463074672 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 34638090463074672's digits is 72
• More coming soon!