428478831200
428,478,831,200 is an even composite number composed of six prime numbers multiplied together.
428478831200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 428478831200:
25 × 52 × 7 × 23 × 412 × 1979
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 23 × 41 × 41 × 1979)See below for interesting mathematical facts about the number 428478831200 from the Numbermatics database.
Names of 428478831200
- Cardinal: 428478831200 can be written as Four hundred twenty-eight billion, four hundred seventy-eight million, eight hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 4.284788312 × 1011
Factors of 428478831200
Divisors of 428478831200
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 23 25 28 32 35 40 41 46 50 56 70 80 82 92 100 112 115 140 160 161 164 175 184 200 205 224 230 280 287 322 328 350 368 400 410 460 560 574 575 644 656 700 736 800 805 820 920 943 1025 1120 1148 1150 1288 1312 1400 1435 1610 1640 1681 1840 1886 1979 2050 2296 2300 2576 2800 2870 3220 3280 3362 3680 3772 3958 4025 4100 4592 4600 4715 5152 5600 5740 6440 6560 6601 6724 7175 7544 7916 8050 8200 8405 9184 9200 9430 9895 11480 11767 12880 13202 13448 13853 14350 15088 15832 16100 16400 16810 18400 18860 19790 22960 23534 23575 25760 26404 26896 27706 28700 30176 31664 32200 32800 33005 33620 37720 38663 39580 42025 45517 45920 47068 47150 49475 52808 53792 55412 57400 58835 63328 64400 66010 67240 69265 75440 77326 79160 81139 84050 91034 94136 94300 98950 105616 110824 114800 117670 128800 132020 134480 138530 150880 154652 158320 162278 165025 168100 182068 188272 188600 193315 197900 211232 221648 227585 229600 235340 264040 268960 270641 277060 294175 309304 316640 318619 324556 330050 336200 346325 364136 376544 377200 386630 395800 405695 443296 455170 470680 528080 541282 554120 567973 588350 618608 637238 649112 660100 672400 692650 728272 754400 773260 791600 811390 910340 941360 966575 1056160 1082564 1108240 1135946 1137925 1176700 1237216 1274476 1298224 1320200 1344800 1353205 1385300 1456544 1546520 1583200 1593095 1622780 1820680 1866197 1882720 1933150 2028475 2165128 2216480 2271892 2275850 2353400 2548952 2596448 2640400 2706410 2770600 2839865 3093040 3186190 3245560 3326699 3641360 3732394 3866300 4056950 4330256 4543784 4551700 4706800 5097904 5280800 5412820 5541200 5679730 6186080 6372380 6491120 6653398 6766025 7282720 7464788 7732600 7965475 8113900 8660512 9087568 9103400 9330985 9413600 10195808 10825640 11082400 11359460 12744760 12982240 13063379 13306796 13532050 14199325 14929576 15465200 15930950 16227800 16633495 18175136 18206800 18661970 21651280 22718920 23286893 25489520 26126758 26613592 27064100 28398650 29859152 30930400 31861900 32455600 33266990 36413600 37323940 43302560 45437840 46573786 46654925 50979040 52253516 53227184 54128200 56797300 59718304 63723800 64911200 65316895 66533980 74647880 76514077 83167475 90875680 93147572 93309850 104507032 106454368 108256400 113594600 116434465 127447600 130633790 133067960 149295760 153028154 166334950 186295144 186619700 209014064 216512800 227189200 232868930 254895200 261267580 266135920 298591520 306056308 326584475 332669900 372590288 373239400 382570385 418028128 454378400 465737860 522535160 532271840 535598539 582172325 612112616 653168950 665339800 745180576 746478800 765140770 931475720 1045070320 1071197078 1164344650 1224225232 1306337900 1330679600 1492957600 1530281540 1862951440 1912851925 2090140640 2142394156 2328689300 2448450464 2612675800 2661359200 2677992695 3060563080 3725902880 3825703850 4284788312 4657378600 5225351600 5355985390 6121126160 7651407700 8569576624 9314757200 10450703200 10711970780 12242252320 13389963475 15302815400 17139153248 18629514400 21423941560 26779926950 30605630800 42847883120 53559853900 61211261600 85695766240 107119707800 214239415600 428478831200
- Sum of all divisors σ(n): 1279245623040
- Sum of proper divisors (its aliquot sum) s(n): 850766791840
- 428478831200 is an abundant number, because the sum of its proper divisors (850766791840) is greater than itself. Its abundance is 422287960640
Bases of 428478831200
- Binary: 1100011110000110101010000011010011000002
- Hexadecimal: 0x63C3541A60
- Base-36: 5GU98E3K
Squares and roots of 428478831200
- 428478831200 squared (4284788312002) is 183594108786518093440000
- 428478831200 cubed (4284788312003) is 78666189148052922994823587328000000
-
The
square root of 428478831200 is 654582.9444768631 -
The
cube root of 428478831200 is 7538.9313778929
Scales and comparisons
How big is 428478831200?- 428,478,831,200 seconds is equal to 13,624 years, 15 weeks, 4 days, 17 hours, 33 minutes, 20 seconds.
-
To count from 1 to 428,478,831,200 would take you about twenty-seven thousand, two hundred forty-eight 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 428478831200 cubic inches would be around 628.2 feet tall.
Recreational maths with 428478831200
- 428478831200 backwards is 002138874824
- The number of decimal digits it has is: 12
- The sum of 428478831200's digits is 47
- More coming soon!
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