828213120

Names of 828213120

• Cardinal: 828213120 can be written as Eight hundred twenty-eight million, two hundred thirteen thousand, one hundred twenty.

Scientific notation

• Scientific notation: 8.2821312 × 10⁸

Factors of 828213120

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 225

Divisors of 828213120

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 41 42 45 48 54 56 60 63 64 70 72 80 82 84 90 96 105 108 112 120 123 126 128 135 140 144 160 164 167 168 180 189 192 205 210 216 224 240 246 252 270 280 287 288 315 320 328 334 336 360 369 378 384 410 420 432 448 480 492 501 504 540 560 574 576 615 630 640 656 668 672 720 738 756 820 835 840 861 864 896 945 960 984 1002 1008 1080 1107 1120 1148 1152 1169 1230 1260 1312 1336 1344 1435 1440 1476 1503 1512 1640 1670 1680 1722 1728 1845 1890 1920 1968 2004 2016 2160 2214 2240 2296 2338 2460 2505 2520 2583 2624 2672 2688 2870 2880 2952 3006 3024 3280 3340 3360 3444 3456 3507 3690 3780 3936 4008 4032 4305 4320 4428 4480 4509 4592 4676 4920 5010 5040 5166 5248 5344 5535 5740 5760 5845 5904 6012 6048 6560 6680 6720 6847 6888 7014 7380 7515 7560 7749 7872 8016 8064 8610 8640 8856 9018 9184 9352 9840 10020 10080 10332 10521 10688 11070 11480 11690 11808 12024 12096 12915 13120 13360 13440 13694 13776 14028 14760 15030 15120 15498 15744 16032 17220 17280 17535 17712 18036 18368 18704 19680 20040 20160 20541 20664 21042 21376 22140 22545 22960 23380 23616 24048 24192 25830 26240 26720 27388 27552 28056 29520 30060 30240 30996 31563 32064 34235 34440 35070 35424 36072 36736 37408 38745 39360 40080 40320 41082 41328 42084 44280 45090 45920 46760 47232 47929 48096 51660 52605 53440 54776 55104 56112 59040 60120 60480 61623 61992 63126 64128 68470 68880 70140 70848 72144 74816 77490 78720 80160 82164 82656 84168 88560 90180 91840 93520 95858 96192 102705 103320 105210 106880 109552 110208 112224 118080 120240 120960 123246 123984 126252 136940 137760 140280 141696 143787 144288 149632 154980 157815 160320 164328 165312 168336 177120 180360 183680 184869 187040 191716 192384 205410 206640 210420 219104 224448 236160 239645 240480 246492 247968 252504 273880 275520 280560 287574 288576 308115 309960 315630 320640 328656 330624 336672 354240 360720 369738 374080 383432 410820 413280 420840 431361 438208 448896 479290 480960 492984 495936 505008 547760 551040 561120 575148 577152 616230 619920 631260 657312 673344 708480 718935 721440 739476 748160 766864 821640 826560 841680 862722 876416 924345 958580 961920 985968 991872 1010016 1095520 1122240 1150296 1232460 1239840 1262520 1294083 1314624 1346688 1437870 1442880 1478952 1533728 1643280 1653120 1683360 1725444 1848690 1917160 1971936 2020032 2156805 2191040 2244480 2300592 2464920 2479680 2525040 2588166 2629248 2875740 2885760 2957904 3067456 3286560 3366720 3450888 3697380 3834320 3943872 4040064 4313610 4382080 4601184 4929840 4959360 5050080 5176332 5751480 5915808 6134912 6470415 6573120 6733440 6901776 7394760 7668640 7887744 8627220 9202368 9859680 10100160 10352664 11502960 11831616 12940830 13146240 13803552 14789520 15337280 17254440 18404736 19719360 20200320 20705328 23005920 23663232 25881660 27607104 29579040 30674560 34508880 39438720 41410656 46011840 51763320 55214208 59158080 69017760 82821312 92023680 103526640 118316160 138035520 165642624 207053280 276071040 414106560 828213120
• Sum of all divisors σ(n): 3454617600
• Sum of proper divisors (its aliquot sum) s(n): 2626404480
• 828213120 is an abundant number, because the sum of its proper divisors (2626404480) is greater than itself. Its abundance is 1798191360

Bases of 828213120

• Binary: 110001010111011000011110000000₂
• Hexadecimal: 0x315D8780
• Base-36: DP3HC0

Squares and roots of 828213120

• 828213120 squared (828213120²) is 685936972140134400
• 828213120 cubed (828213120³) is 568101999819533788643328000
• The square root of 828213120 is 28778.6921176067
• The cube root of 828213120 is 939.1047459425

Scales and comparisons

• 828,213,120 seconds is equal to 26 years, 17 weeks, 2 days, 19 hours, 12 minutes.
• To count from 1 to 828,213,120 would take you about thirty-nine 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 828213120 cubic inches would be around 78.3 feet tall.

Recreational maths with 828213120

• 828213120 backwards is 021312828
• 828213120 is a Harshad number.
• The number of decimal digits it has is: 9
• The sum of 828213120's digits is 27
• More coming soon!