428073404928000
428,073,404,928,000 is an even composite number composed of six prime numbers multiplied together.
428073404928000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred thirty-two divisors.
Prime factorization of 428073404928000:
212 × 3 × 53 × 13 × 149 × 143879
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 149 × 143879)See below for interesting mathematical facts about the number 428073404928000 from the Numbermatics database.
Names of 428073404928000
- Cardinal: 428073404928000 can be written as Four hundred twenty-eight trillion, seventy-three billion, four hundred four million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.28073404928 × 1014
Factors of 428073404928000
Divisors of 428073404928000
- Number of divisors d(n): 832
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 125 128 130 149 150 156 160 192 195 200 208 240 250 256 260 298 300 312 320 325 375 384 390 400 416 447 480 500 512 520 596 600 624 640 650 745 750 768 780 800 832 894 960 975 1000 1024 1040 1192 1200 1248 1280 1300 1490 1500 1536 1560 1600 1625 1664 1788 1920 1937 1950 2000 2048 2080 2235 2384 2400 2496 2560 2600 2980 3000 3072 3120 3200 3250 3328 3576 3725 3840 3874 3900 4000 4096 4160 4470 4768 4800 4875 4992 5120 5200 5811 5960 6000 6144 6240 6400 6500 6656 7152 7450 7680 7748 7800 8000 8320 8940 9536 9600 9685 9750 9984 10240 10400 11175 11622 11920 12000 12288 12480 12800 13000 13312 14304 14900 15360 15496 15600 16000 16640 17880 18625 19072 19200 19370 19500 19968 20480 20800 22350 23244 23840 24000 24960 25600 26000 26624 28608 29055 29800 30720 30992 31200 32000 33280 35760 37250 38144 38400 38740 39000 39936 41600 44700 46488 47680 48000 48425 49920 51200 52000 53248 55875 57216 58110 59600 61440 61984 62400 64000 66560 71520 74500 76288 76800 77480 78000 79872 83200 89400 92976 95360 96000 96850 99840 102400 104000 111750 114432 116220 119200 123968 124800 128000 133120 143040 143879 145275 149000 152576 153600 154960 156000 159744 166400 178800 185952 190720 192000 193700 199680 208000 223500 228864 232440 238400 242125 247936 249600 256000 266240 286080 287758 290550 298000 305152 307200 309920 312000 332800 357600 371904 381440 384000 387400 399360 416000 431637 447000 457728 464880 476800 484250 495872 499200 512000 572160 575516 581100 596000 610304 619840 624000 665600 715200 719395 726375 743808 762880 768000 774800 798720 832000 863274 894000 915456 929760 953600 968500 991744 998400 1144320 1151032 1162200 1192000 1239680 1248000 1331200 1430400 1438790 1452750 1487616 1525760 1536000 1549600 1664000 1726548 1788000 1830912 1859520 1870427 1907200 1937000 1983488 1996800 2158185 2288640 2302064 2324400 2384000 2479360 2496000 2860800 2877580 2905500 2975232 3051520 3099200 3328000 3453096 3576000 3596975 3719040 3740854 3814400 3874000 3966976 3993600 4316370 4577280 4604128 4648800 4768000 4958720 4992000 5611281 5721600 5755160 5811000 5950464 6198400 6656000 6906192 7152000 7193950 7438080 7481708 7628800 7748000 7933952 8632740 9154560 9208256 9297600 9352135 9536000 9917440 9984000 10790925 11222562 11443200 11510320 11622000 11900928 12396800 13812384 14304000 14387900 14876160 14963416 15257600 15496000 17265480 17984875 18416512 18595200 18704270 19072000 19834880 19968000 21437971 21581850 22445124 22886400 23020640 23244000 23801856 24793600 27624768 28056405 28608000 28775800 29752320 29926832 30992000 34530960 35969750 36833024 37190400 37408540 38144000 39669760 42875942 43163700 44890248 45772800 46041280 46488000 46760675 49587200 53954625 55249536 56112810 57216000 57551600 59504640 59853664 61984000 64313913 69061920 71939500 73666048 74380800 74817080 76288000 85751884 86327400 89780496 92082560 92976000 93521350 99174400 107189855 107909250 110499072 112225620 114432000 115103200 119009280 119707328 123968000 128627826 138123840 140282025 143879000 147332096 148761600 149634160 171503768 172654800 179560992 184165120 185952000 187042700 198348800 214379710 215818500 220998144 224451240 228864000 230206400 233803375 239414656 247936000 257255652 276247680 278693623 280564050 287758000 294664192 297523200 299268320 321569565 343007536 345309600 359121984 368330240 371904000 374085400 428759420 431637000 441996288 448902480 460412800 467606750 478829312 495872000 514511304 535949275 552495360 557387246 561128100 575516000 589328384 595046400 598536640 643139130 686015072 690619200 701410125 718243968 736660480 743808000 748170800 836080869 857518840 863274000 883992576 897804960 920825600 935213500 957658624 991744000 1029022608 1071898550 1104990720 1114774492 1122256200 1151032000 1197073280 1286278260 1372030144 1381238400 1393468115 1402820250 1436487936 1473320960 1487616000 1496341600 1607847825 1672161738 1715037680 1726548000 1767985152 1795609920 1841651200 1870427000 1915317248 2058045216 2143797100 2209981440 2229548984 2244512400 2302064000 2394146560 2572556520 2679746375 2744060288 2762476800 2786936230 2805640500 2872975872 2946641920 2975232000 2992683200 3215695650 3344323476 3430075360 3453096000 3591219840 3683302400 3740854000 3830634496 4116090432 4180404345 4287594200 4419962880 4459097968 4489024800 4604128000 4788293120 5145113040 5359492750 5488120576 5524953600 5573872460 5611281000 5745951744 5985366400 6431391300 6688646952 6860150720 6906192000 6967340575 7182439680 7366604800 7481708000 7661268992 8039239125 8232180864 8360808690 8575188400 8839925760 8918195936 8978049600 9208256000 9576586240 10290226080 10718985500 10976241152 11049907200 11147744920 11222562000 11491903488 11970732800 12862782600 13377293904 13720301440 13812384000 13934681150 14364879360 14733209600 14963416000 16078478250 16464361728 16721617380 17150376800 17836391872 17956099200 18416512000 19153172480 20580452160 20902021725 21437971000 21952482304 22099814400 22295489840 22445124000 22983806976 23941465600 25725565200 26754587808 27440602880 27624768000 27869362300 28729758720 29926832000 32156956500 32928723456 33443234760 34300753600 34836702875 35672783744 35912198400 36833024000 38306344960 41160904320 41804043450 42875942000 43904964608 44199628800 44590979680 44890248000 47882931200 51451130400 53509175616 54881205760 55249536000 55738724600 57459517440 59853664000 64313913000 65857446912 66886469520 68601507200 69673405750 71345567488 71824396800 73666048000 82321808640 83608086900 85751884000 87809929216 89181959360 89780496000 95765862400 102902260800 104510108625 107018351232 109762411520 110499072000 111477449200 114919034880 119707328000 128627826000 131714893824 133772939040 137203014400 139346811500 142691134976 143648793600 164643617280 167216173800 171503768000 178363918720 179560992000 191531724800 205804521600 209020217250 214036702464 219524823040 220998144000 222954898400 239414656000 257255652000 263429787648 267545878080 274406028800 278693623000 285382269952 287297587200 329287234560 334432347600 343007536000 356727837440 359121984000 411609043200 418040434500 428073404928 439049646080 445909796800 478829312000 514511304000 535091756160 548812057600 557387246000 570764539904 574595174400 658574469120 668864695200 686015072000 713455674880 718243968000 823218086400 836080869000 856146809856 891819593600 957658624000 1029022608000 1070183512320 1097624115200 1114774492000 1141529079808 1317148938240 1337729390400 1372030144000 1426911349760 1436487936000 1646436172800 1672161738000 1712293619712 1783639187200 2058045216000 2140367024640 2195248230400 2229548984000 2675458780800 2744060288000 2853822699520 2872975872000 3292872345600 3344323476000 3424587239424 3567278374400 4116090432000 4280734049280 4459097968000 5350917561600 5488120576000 5707645399040 6585744691200 6688646952000 7134556748800 8232180864000 8561468098560 8918195936000 10701835123200 10976241152000 13377293904000 14269113497600 16464361728000 17122936197120 17836391872000 21403670246400 26754587808000 28538226995200 32928723456000 35672783744000 42807340492800 53509175616000 71345567488000 85614680985600 107018351232000 142691134976000 214036702464000 428073404928000
- Sum of all divisors σ(n): 1544334023232000
- Sum of proper divisors (its aliquot sum) s(n): 1116260618304000
- 428073404928000 is an abundant number, because the sum of its proper divisors (1116260618304000) is greater than itself. Its abundance is 688187213376000
Bases of 428073404928000
- Binary: 11000010101010100100110110011110100010000000000002
- Hexadecimal: 0x185549B3D1000
- Base-36: 47QM7GRL6O
Squares and roots of 428073404928000
- 428073404928000 squared (4280734049280002) is 183246840006651454685184000000
- 428073404928000 cubed (4280734049280003) is 78443098743943738374811013194186752000000000
-
The
square root of 428073404928000 is 20689934.8700763193 -
The
cube root of 428073404928000 is 75365.5285092647
Scales and comparisons
How big is 428073404928000?- 428,073,404,928,000 seconds is equal to 13,611,410 years, 8 weeks, 1 day, 18 hours, 40 minutes.
-
To count from 1 to 428,073,404,928,000 would take you about thirty-four million, twenty-eight thousand, five hundred twenty-five 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 428073404928000 cubic inches would be around 6280.5 feet tall.
Recreational maths with 428073404928000
- 428073404928000 backwards is 000829404370824
- The number of decimal digits it has is: 15
- The sum of 428073404928000's digits is 51
- More coming soon!
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The information we have on file for 428073404928000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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