828434948400

Names of 828434948400

• Cardinal: 828434948400 can be written as Eight hundred twenty-eight billion, four hundred thirty-four million, nine hundred forty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 8.284349484 × 10¹¹

Factors of 828434948400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 2133

Divisors of 828434948400

• Number of divisors d(n): 540
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 30 36 40 45 46 48 50 60 69 72 75 80 90 92 100 115 120 138 144 150 180 184 200 207 225 230 233 240 276 300 345 360 368 400 414 450 460 466 529 552 575 600 690 699 720 828 900 920 932 1035 1058 1104 1150 1165 1200 1380 1398 1587 1656 1725 1800 1840 1864 1867 2070 2097 2116 2300 2330 2645 2760 2796 3174 3312 3450 3495 3600 3728 3734 4140 4194 4232 4600 4660 4761 5175 5290 5359 5520 5592 5601 5825 6348 6900 6990 7468 7935 8280 8388 8464 9200 9320 9335 9522 10350 10485 10580 10718 11184 11202 11650 12696 13225 13800 13980 14936 15870 16077 16560 16776 16803 17475 18640 18670 19044 20700 20970 21160 21436 22404 23300 23805 25392 26450 26795 27600 27960 28005 29872 31740 32154 33552 33606 34950 37340 38088 39675 41400 41940 42320 42872 42941 44808 46600 46675 47610 48231 52425 52900 53590 55920 56010 63480 64308 67212 69900 74680 76176 79350 80385 82800 83880 84015 85744 85882 89616 93200 93350 95220 96462 104850 105800 107180 112020 119025 123257 126960 128616 128823 133975 134424 139800 140025 149360 158700 160770 167760 168030 171764 186700 190440 192924 209700 211600 214360 214705 224040 238050 241155 246514 257232 257646 267950 268848 279600 280050 317400 321540 336060 343528 369771 373400 380880 385848 386469 401925 419400 420075 428720 429410 435011 448080 476100 482310 493028 515292 535900 560100 616285 634800 643080 644115 672120 687056 739542 746800 771696 772938 803850 838800 840150 858820 870022 952200 964620 986056 987643 1030584 1071800 1073525 1109313 1120200 1205775 1232570 1286160 1288230 1305033 1344240 1479084 1545876 1607700 1680300 1717640 1740044 1848855 1904400 1929240 1932345 1972112 1975286 2061168 2143600 2147050 2175055 2218626 2240400 2411550 2465140 2576460 2610066 2958168 2962929 3081425 3091752 3215400 3220575 3360600 3435280 3480088 3697710 3858480 3864690 3915099 3950572 4294100 4350110 4437252 4823100 4930280 4938215 5152920 5220132 5546565 5916336 5925858 6162850 6183504 6430800 6441150 6525165 6721200 6960176 7395420 7729380 7830198 7901144 8588200 8700220 8874504 8888787 9244275 9646200 9661725 9860560 9876430 10005253 10305840 10440264 10875275 11093130 11851716 12325700 12882300 13050330 14790840 14814645 15458760 15660396 15802288 17176400 17400440 17749008 17777574 18488550 19292400 19323450 19575495 19752860 20010506 20880528 21750550 22186260 23703432 24651400 24691075 25764600 26100660 27732825 29581680 29629290 30015759 30917520 31320792 32625825 34800880 35555148 36977100 38646900 39150990 39505720 40021012 43501100 44372520 44443935 47406864 49302800 49382150 50026265 51529200 52201320 55465650 59258580 60031518 62641584 65251650 71110296 73954200 74073225 77293800 78301980 79011440 80042024 87002200 88745040 88887870 90047277 97877475 98764300 100052530 104402640 110931300 118517160 120063036 130503300 142220592 147908400 148146450 150078795 154587600 156603960 160084048 174004400 177775740 180094554 195754950 197528600 200105060 221862600 222219675 230120819 237034320 240126072 250131325 261006600 296292900 300157590 313207920 355551480 360189108 391509900 395057200 400210120 443725200 444439350 450236385 460241638 480252144 500262650 522013200 592585800 600315180 690362457 711102960 720378216 750393975 783019800 800420240 888878700 900472770 920483276 1000525300 1150604095 1185171600 1200630360 1380724914 1440756432 1500787950 1566039600 1777757400 1800945540 1840966552 2001050600 2071087371 2251181925 2301208190 2401260720 2761449828 3001575900 3451812285 3555514800 3601891080 3681933104 4002101200 4142174742 4502363850 4602416380 5522899656 5753020475 6003151800 6903624570 7203782160 8284349484 9004727700 9204832760 10355436855 11045799312 11506040950 12006303600 13807249140 16568698968 17259061425 18009455400 18409665520 20710873710 23012081900 27614498280 33137397936 34518122850 36018910800 41421747420 46024163800 51777184275 55228996560 69036245700 82843494840 92048327600 103554368550 138072491400 165686989680 207108737100 276144982800 414217474200 828434948400
• Sum of all divisors σ(n): 3019844639448
• Sum of proper divisors (its aliquot sum) s(n): 2191409691048
• 828434948400 is an abundant number, because the sum of its proper divisors (2191409691048) is greater than itself. Its abundance is 1362974742648

Bases of 828434948400

• Binary: 1100000011100010100100100010000100110000₂
• Hexadecimal: 0xC0E2922130
• Base-36: AKKSS180

Squares and roots of 828434948400

• 828434948400 squared (828434948400²) is 686304463730510662560000
• 828434948400 cubed (828434948400³) is 568558602997275272243543411904000000
• The square root of 828434948400 is 910184.0189763823
• The cube root of 828434948400 is 9391.8858165345

Scales and comparisons

• 828,434,948,400 seconds is equal to 26,341 years, 34 weeks, 5 days, 11 hours.
• To count from 1 to 828,434,948,400 would take you about fifty-two thousand, six hundred eighty-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 828434948400 cubic inches would be around 782.7 feet tall.

Recreational maths with 828434948400

• 828434948400 backwards is 004849434828
• The number of decimal digits it has is: 12
• The sum of 828434948400's digits is 54
• More coming soon!