428539968000
428,539,968,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 428539968000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 480 divisors.
428539968000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 428539968000:
29 × 32 × 53 × 449 × 1657
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 449 × 1657)See below for interesting mathematical facts about the number 428539968000 from the Numbermatics database.
Names of 428539968000
- Cardinal: 428539968000 can be written as Four hundred twenty-eight billion, five hundred thirty-nine million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.28539968 × 1011
Factors of 428539968000
Divisors of 428539968000
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 125 128 144 150 160 180 192 200 225 240 250 256 288 300 320 360 375 384 400 449 450 480 500 512 576 600 640 720 750 768 800 898 900 960 1000 1125 1152 1200 1280 1347 1440 1500 1536 1600 1657 1796 1800 1920 2000 2245 2250 2304 2400 2560 2694 2880 3000 3200 3314 3592 3600 3840 4000 4041 4490 4500 4608 4800 4971 5388 5760 6000 6400 6628 6735 7184 7200 7680 8000 8082 8285 8980 9000 9600 9942 10776 11225 11520 12000 12800 13256 13470 14368 14400 14913 16000 16164 16570 17960 18000 19200 19884 20205 21552 22450 23040 24000 24855 26512 26940 28736 28800 29826 32000 32328 33140 33675 35920 36000 38400 39768 40410 41425 43104 44900 48000 49710 53024 53880 56125 57472 57600 59652 64000 64656 66280 67350 71840 72000 74565 79536 80820 82850 86208 89800 96000 99420 101025 106048 107760 112250 114944 115200 119304 124275 129312 132560 134700 143680 144000 149130 159072 161640 165700 168375 172416 179600 192000 198840 202050 207125 212096 215520 224500 229888 238608 248550 258624 265120 269400 287360 288000 298260 318144 323280 331400 336750 344832 359200 372825 397680 404100 414250 424192 431040 449000 477216 497100 505125 517248 530240 538800 574720 576000 596520 621375 636288 646560 662800 673500 689664 718400 743993 745650 795360 808200 828500 848384 862080 898000 954432 994200 1010250 1034496 1060480 1077600 1149440 1193040 1242750 1272576 1293120 1325600 1347000 1436800 1487986 1491300 1590720 1616400 1657000 1724160 1796000 1864125 1908864 1988400 2020500 2068992 2120960 2155200 2231979 2386080 2485500 2545152 2586240 2651200 2694000 2873600 2975972 2982600 3181440 3232800 3314000 3448320 3592000 3719965 3728250 3817728 3976800 4041000 4241920 4310400 4463958 4772160 4971000 5172480 5302400 5388000 5747200 5951944 5965200 6362880 6465600 6628000 6695937 7184000 7439930 7456500 7635456 7953600 8082000 8620800 8927916 9544320 9942000 10344960 10604800 10776000 11159895 11903888 11930400 12725760 12931200 13256000 13391874 14368000 14879860 14913000 15907200 16164000 17241600 17855832 18599825 19088640 19884000 21209600 21552000 22319790 23807776 23860800 25862400 26512000 26783748 28736000 29759720 29826000 31814400 32328000 33479685 35711664 37199650 38177280 39768000 43104000 44639580 47615552 47721600 51724800 53024000 53567496 55799475 59519440 59652000 63628800 64656000 66959370 71423328 74399300 79536000 86208000 89279160 92999125 95231104 95443200 106048000 107134992 111598950 119038880 119304000 129312000 133918740 142846656 148798600 159072000 167398425 178558320 185998250 190462208 190886400 214269984 223197900 238077760 238608000 258624000 267837480 278997375 285693312 297597200 318144000 334796850 357116640 371996500 380924416 428539968 446395800 476155520 477216000 535674960 557994750 571386624 595194400 669593700 714233280 743993000 836992125 857079936 892791600 952311040 954432000 1071349920 1115989500 1142773248 1190388800 1339187400 1428466560 1487986000 1673984250 1714159872 1785583200 1904622080 2142699840 2231979000 2380777600 2678374800 2856933120 2975972000 3347968500 3428319744 3571166400 4285399680 4463958000 4761555200 5356749600 5713866240 5951944000 6695937000 7142332800 8570799360 8927916000 9523110400 10713499200 11903888000 13391874000 14284665600 17141598720 17855832000 21426998400 23807776000 26783748000 28569331200 35711664000 42853996800 47615552000 53567496000 71423328000 85707993600 107134992000 142846656000 214269984000 428539968000
- Sum of all divisors σ(n): 1547891888400
- Sum of proper divisors (its aliquot sum) s(n): 1119351920400
- 428539968000 is an abundant number, because the sum of its proper divisors (1119351920400) is greater than itself. Its abundance is 690811952400
Bases of 428539968000
- Binary: 1100011110001101111100011111010000000002
- Hexadecimal: 0x63C6F8FA00
- Base-36: 5GV9MRK0
Squares and roots of 428539968000
- 428539968000 squared (4285399680002) is 183646504173441024000000
- 428539968000 cubed (4285399680003) is 78699867021798282874847232000000000
-
The
square root of 428539968000 is 654629.6418586619 -
The
cube root of 428539968000 is 7539.2899208645
Scales and comparisons
How big is 428539968000?- 428,539,968,000 seconds is equal to 13,626 years, 12 weeks, 5 days, 8 hours.
-
To count from 1 to 428,539,968,000 would take you about twenty-seven thousand, two hundred fifty-two 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 428539968000 cubic inches would be around 628.3 feet tall.
Recreational maths with 428539968000
- 428539968000 backwards is 000869935824
- The number of decimal digits it has is: 12
- The sum of 428539968000's digits is 54
- More coming soon!
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