648229748361225408

Names of 648229748361225408

• Cardinal: 648229748361225408 can be written as Six hundred forty-eight quadrillion, two hundred twenty-nine trillion, seven hundred forty-eight billion, three hundred sixty-one million, two hundred twenty-five thousand, four hundred eight.

Scientific notation

• Scientific notation: 6.48229748361225408 × 10¹⁷

Factors of 648229748361225408

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 10315

Divisors of 648229748361225408

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 84 96 98 108 112 126 144 147 168 189 192 196 216 224 252 288 294 336 343 378 392 432 441 448 504 576 588 672 686 756 784 864 882 1008 1029 1176 1323 1344 1372 1512 1568 1728 1764 2016 2058 2352 2646 2744 3024 3087 3136 3528 4032 4116 4704 5292 5488 6048 6174 7056 8232 9261 9408 10303 10584 10976 12096 12348 14112 16464 18522 20606 21168 21952 24696 28224 30909 32928 37044 41212 42336 49392 61818 65856 72121 74088 82424 84672 92727 98784 123636 144242 148176 164848 185454 197568 216363 247272 278181 288484 296352 329696 370908 432726 494544 504847 556362 576968 592704 649089 659392 741816 865452 989088 1009694 1112724 1153936 1298178 1483632 1514541 1730904 1947267 1978176 2019388 2225448 2307872 2596356 2967264 3029082 3461808 3533929 3894534 4038776 4450896 4543623 4615744 5192712 5934528 6058164 6923616 7067858 7789068 8077552 8901792 9087246 10385424 10601787 12116328 13630869 13847232 14135716 15578136 16155104 17803584 18174492 20770848 21203574 24232656 27261738 28271432 31156272 31805361 32310208 36348984 41541696 42407148 48465312 54523476 56542864 62312544 63610722 72697968 84814296 95416083 96930624 106151809 109046952 113085728 124625088 127221444 145395936 169628592 190832166 212303618 218093904 226171456 254442888 290791872 318455427 339257184 381664332 424607236 436187808 508885776 636910854 678514368 743062663 763328664 849214472 872375616 955366281 1017771552 1273821708 1486125326 1526657328 1698428944 1910732562 2035543104 2229187989 2547643416 2866098843 2972250652 3053314656 3396857888 3821465124 4458375978 5095286832 5201438641 5732197686 5944501304 6106629312 6687563967 6793715776 7642930248 8916751956 10190573664 10402877282 11464395372 11889002608 13375127934 15285860496 15604315923 17833503912 20062691901 20381147328 20805754564 22928790744 23778005216 26750255868 30571720992 31208631846 35667007824 36410070487 40125383802 41611509128 45857581488 46812947769 47556010432 53500511736 61143441984 62417263692 71334015648 72820140974 80250767604 83223018256 91715162976 93625895538 107001023472 109230211461 124834527384 140438843307 142668031296 145640281948 160501535208 166446036512 183430325952 187251791076 214002046944 218460422922 249669054768 280877686614 291280563896 321003070416 327690634383 332892073024 374503582152 428004093888 436920845844 499338109536 561755373228 582561127792 642006140832 655381268766 749007164304 873841691688 983071903149 998676219072 1123510746456 1165122255584 1284012281664 1310762537532 1498014328608 1747683383376 1966143806298 2247021492912 2330244511168 2621525075064 2996028657216 3495366766752 3932287612596 4494042985824 5243050150128 6990733533504 7864575225192 8988085971648 10486100300256 15729150450384 20972200600512 31458300900768 62916601801536
• Sum of all divisors σ(n): 648382553173039872
• Sum of proper divisors (its aliquot sum) s(n): 152804811814464
• 648229748361225408 is a deficient number, because the sum of its proper divisors (152804811814464) is less than itself. Its deficiency is 648076943549410944

Bases of 648229748361225408

• Binary: 100011111110111110011000010110001011111010010110010011000000₂
• Hexadecimal: 0x8FEF9858BE964C0
• Base-36: 4XAQ9NBM5DC0

Squares and roots of 648229748361225408

• 648229748361225408 squared (648229748361225408²) is 420201806660457614528558163384766464
• 648229748361225408 cubed (648229748361225408³) is 272387311392440730083789316329035142217963998943117312
• The square root of 648229748361225408 is 805127162.8514500739
• 648229748361225408 is a perfect cube number. Its cube root is 865452

Scales and comparisons

• 648,229,748,361,225,408 seconds is equal to 20,611,700,891 years, 32 weeks, 3 days, 5 hours, 16 minutes, 48 seconds.
• To count from 1 to 648,229,748,361,225,408 would take you about sixty-one billion, eight hundred thirty-five million, one hundred two thousand, six hundred seventy-four 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 648229748361225408 cubic inches would be around 72121 feet tall.

Recreational maths with 648229748361225408

• 648229748361225408 backwards is 804522163847922846
• The number of decimal digits it has is: 18
• The sum of 648229748361225408's digits is 81
• More coming soon!