428956728000
428,956,728,000 is an even composite number composed of six prime numbers multiplied together.
428956728000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 428956728000:
26 × 3 × 53 × 79 × 233 × 971
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 79 × 233 × 971)See below for interesting mathematical facts about the number 428956728000 from the Numbermatics database.
Names of 428956728000
- Cardinal: 428956728000 can be written as Four hundred twenty-eight billion, nine hundred fifty-six million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.28956728 × 1011
Factors of 428956728000
Divisors of 428956728000
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 79 80 96 100 120 125 150 158 160 192 200 233 237 240 250 300 316 320 375 395 400 466 474 480 500 600 632 699 750 790 800 932 948 960 971 1000 1165 1185 1200 1264 1398 1500 1580 1600 1864 1896 1942 1975 2000 2330 2370 2400 2528 2796 2913 3000 3160 3495 3728 3792 3884 3950 4000 4660 4740 4800 4855 5056 5592 5825 5826 5925 6000 6320 6990 7456 7584 7768 7900 8000 9320 9480 9710 9875 11184 11650 11652 11850 12000 12640 13980 14565 14912 15168 15536 15800 17475 18407 18640 18960 19420 19750 22368 23300 23304 23700 24000 24275 25280 27960 29125 29130 29625 31072 31600 34950 36814 37280 37920 38840 39500 44736 46600 46608 47400 48550 55221 55920 58250 58260 59250 62144 63200 69900 72825 73628 74560 75840 76709 77680 79000 87375 92035 93200 93216 94800 97100 110442 111840 116500 116520 118500 121375 126400 139800 145650 147256 153418 155360 158000 174750 184070 186400 186432 189600 194200 220884 223680 226243 230127 233000 233040 237000 242750 276105 279600 291300 294512 306836 310720 316000 349500 364125 368140 372800 379200 383545 388400 441768 452486 460175 460254 466000 466080 474000 485500 552210 559200 582600 589024 613672 632000 678729 699000 728250 736280 767090 776800 883536 904972 920350 920508 932000 932160 948000 971000 1104420 1118400 1131215 1150635 1165200 1178048 1227344 1357458 1380525 1398000 1456500 1472560 1534180 1553600 1767072 1809944 1840700 1841016 1864000 1896000 1917725 1942000 2208840 2262430 2300875 2301270 2330400 2454688 2714916 2761050 2796000 2913000 2945120 3068360 3393645 3534144 3619888 3681400 3682032 3835450 3884000 4417680 4524860 4601750 4602540 4660800 4909376 5429832 5522100 5592000 5656075 5753175 5826000 5890240 6136720 6787290 6902625 7239776 7362800 7364064 7670900 7768000 8835360 9049720 9203500 9205080 9588625 10859664 11044200 11312150 11506350 11652000 12273440 13574580 13805250 14479552 14725600 14728128 15341800 16968225 17670720 17873197 18099440 18407000 18410160 19177250 21719328 22088400 22624300 23012700 23304000 24546880 27149160 27610500 28280375 28765875 29451200 30683600 33936450 35746394 36198880 36814000 36820320 38354500 43438656 44176800 45248600 46025400 53619591 54298320 55221000 56560750 57531750 61367200 67872900 71492788 72397760 73628000 73640640 76709000 84841125 88353600 89365985 90497200 92050800 107239182 108596640 110442000 113121500 115063500 122734400 135745800 142985576 147256000 153418000 169682250 178731970 180994400 184101600 214478364 217193280 220884000 226243000 230127000 268097955 271491600 285971152 306836000 339364500 357463940 361988800 368203200 428956728 441768000 446829925 452486000 460254000 536195910 542983200 571942304 613672000 678729000 714927880 857913456 893659850 904972000 920508000 1072391820 1085966400 1143884608 1340489775 1357458000 1429855760 1715826912 1787319700 1809944000 1841016000 2144783640 2234149625 2680979550 2714916000 2859711520 3431653824 3574639400 4289567280 4468299250 5361959100 5429832000 5719423040 6702448875 7149278800 8579134560 8936598500 10723918200 13404897750 14298557600 17158269120 17873197000 21447836400 26809795500 28597115200 35746394000 42895672800 53619591000 71492788000 85791345600 107239182000 142985576000 214478364000 428956728000
- Sum of all divisors σ(n): 1441983928320
- Sum of proper divisors (its aliquot sum) s(n): 1013027200320
- 428956728000 is an abundant number, because the sum of its proper divisors (1013027200320) is greater than itself. Its abundance is 584070472320
Bases of 428956728000
- Binary: 1100011110111111101000000111010110000002
- Hexadecimal: 0x63DFD03AC0
- Base-36: 5H25RDMO
Squares and roots of 428956728000
- 428956728000 squared (4289567280002) is 184003874496465984000000
- 428956728000 cubed (4289567280003) is 78929699943326696059940352000000000
-
The
square root of 428956728000 is 654947.8818959567 -
The
cube root of 428956728000 is 7541.7331441219
Scales and comparisons
How big is 428956728000?- 428,956,728,000 seconds is equal to 13,639 years, 25 weeks, 5 days, 22 hours, 40 minutes.
-
To count from 1 to 428,956,728,000 would take you about twenty-seven thousand, two hundred seventy-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 428956728000 cubic inches would be around 628.5 feet tall.
Recreational maths with 428956728000
- 428956728000 backwards is 000827659824
- The number of decimal digits it has is: 12
- The sum of 428956728000's digits is 51
- More coming soon!
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