428201375616000
428,201,375,616,000 is an even composite number composed of five prime numbers multiplied together.
428201375616000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, six hundred forty divisors.
Prime factorization of 428201375616000:
210 × 34 × 53 × 73 × 3472
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 347 × 347)See below for interesting mathematical facts about the number 428201375616000 from the Numbermatics database.
Names of 428201375616000
- Cardinal: 428201375616000 can be written as Four hundred twenty-eight trillion, two hundred one billion, three hundred seventy-five million, six hundred sixteen thousand.
Scientific notation
- Scientific notation: 4.28201375616 × 1014
Factors of 428201375616000
Divisors of 428201375616000
- Number of divisors d(n): 2640
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 81 84 90 96 98 100 105 108 112 120 125 126 128 135 140 144 147 150 160 162 168 175 180 189 192 196 200 210 216 224 225 240 245 250 252 256 270 280 288 294 300 315 320 324 336 343 347 350 360 375 378 384 392 400 405 420 432 441 448 450 480 490 500 504 512 525 540 560 567 576 588 600 630 640 648 672 675 686 694 700 720 735 750 756 768 784 800 810 840 864 875 882 896 900 945 960 980 1000 1008 1024 1029 1041 1050 1080 1120 1125 1134 1152 1176 1200 1225 1260 1280 1296 1323 1344 1350 1372 1388 1400 1440 1470 1500 1512 1536 1568 1575 1600 1620 1680 1715 1728 1735 1750 1764 1792 1800 1890 1920 1960 2000 2016 2025 2058 2082 2100 2160 2205 2240 2250 2268 2304 2352 2400 2429 2450 2520 2560 2592 2625 2646 2688 2700 2744 2776 2800 2835 2880 2940 3000 3024 3072 3087 3123 3136 3150 3200 3240 3360 3375 3430 3456 3470 3500 3528 3584 3600 3675 3780 3840 3920 3969 4000 4032 4050 4116 4164 4200 4320 4410 4480 4500 4536 4608 4704 4725 4800 4858 4900 5040 5120 5145 5184 5205 5250 5292 5376 5400 5488 5552 5600 5670 5760 5880 6000 6048 6125 6174 6246 6272 6300 6400 6480 6615 6720 6750 6860 6912 6940 7000 7056 7168 7200 7287 7350 7560 7680 7840 7875 7938 8000 8064 8100 8232 8328 8400 8575 8640 8675 8820 8960 9000 9072 9216 9261 9369 9408 9450 9600 9716 9800 10080 10125 10290 10368 10410 10500 10584 10752 10800 10976 11025 11104 11200 11340 11520 11760 12000 12096 12145 12250 12348 12492 12544 12600 12800 12960 13230 13440 13500 13720 13824 13880 14000 14112 14175 14400 14574 14700 15120 15360 15435 15615 15680 15750 15876 16000 16128 16200 16464 16656 16800 17003 17150 17280 17350 17640 17920 18000 18144 18375 18522 18738 18816 18900 19200 19432 19600 19845 20160 20250 20580 20736 20820 21000 21168 21504 21600 21861 21952 22050 22208 22400 22680 23040 23520 23625 24000 24192 24290 24500 24696 24984 25088 25200 25600 25725 25920 26025 26460 26880 27000 27440 27648 27760 27783 28000 28107 28224 28350 28800 29148 29400 30240 30870 31230 31360 31500 31752 32000 32256 32400 32928 33075 33312 33600 34006 34300 34560 34700 35280 35840 36000 36288 36435 36750 37044 37476 37632 37800 38400 38864 39200 39690 40320 40500 41160 41472 41640 42000 42336 42875 43200 43375 43722 43904 44100 44416 44800 45360 46080 46305 46845 47040 47250 48000 48384 48580 49000 49392 49968 50176 50400 51009 51450 51840 52050 52920 53760 54000 54880 55125 55520 55566 56000 56214 56448 56700 57600 58296 58800 60480 60725 61740 62460 62720 63000 63504 64000 64512 64800 65583 65856 66150 66624 67200 68012 68600 69120 69400 70560 70875 72000 72576 72870 73500 74088 74952 75264 75600 76800 77175 77728 78075 78400 79380 80640 81000 82320 82944 83280 84000 84672 85015 85750 86400 86750 87444 87808 88200 88832 89600 90720 92610 93690 94080 94500 96000 96768 97160 98000 98784 99225 99936 100800 102018 102900 103680 104100 105840 107520 108000 109305 109760 110250 111040 111132 112000 112428 112896 113400 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92925645750 94400656000 95155861248 95580664200 97097817600 99120688800 101952708480 102834144000 104033376000 105728734720 106200738000 107050343904 107886464000 109235044800 111510774900 113280787200 116517381120 118944826560 119475830250 121372272000 122343250176 123400972800 123900861000 124840051200 126874481664 127440885600 132160918400 133812929880 135936944640 136543806000 137112192000 138711168000 139388468625 141600984000 142733791872 145646726400 148681033200 151041049600 152929062720 154251216000 156050064000 158593102080 159301107000 161829696000 163124333568 165201148000 167266162350 169921180800 174776071680 176287104000 178417239840 182058408000 185851291500 188801312000 190311722496 191161328400 194195635200 198241377600 203905416960 205668288000 208066752000 211457469440 212401476000 214100687808 218470089600 223021549800 226561574400 237889653120 238951660500 242744544000 244686500352 246801945600 247801722000 249680102400 254881771200 264321836800 267625859760 271873889280 273087612000 278776937250 283201968000 285467583744 291293452800 297362066400 305858125440 308502432000 312100128000 317186204160 318602214000 323659392000 330402296000 334532324700 339842361600 349552143360 356834479680 364116816000 371702583000 377602624000 380623444992 382322656800 396482755200 407810833920 411336576000 416133504000 418165405875 424802952000 428201375616 436940179200 446043099600 453123148800 475779306240 477903321000 485489088000 489373000704 495603444000 509763542400 528643673600 535251719520 546175224000 557553874500 566403936000 570935167488 582586905600 594724132800 611716250880 617004864000 624200256000 634372408320 637204428000 660804592000 669064649400 679684723200 713668959360 728233632000 743405166000 755205248000 764645313600 792965510400 815621667840 836330811750 849605904000 856402751232 873880358400 892086199200 951558612480 955806642000 970978176000 991206888000 1019527084800 1057287347200 1070503439040 1092350448000 1115107749000 1132807872000 1141870334976 1189448265600 1223432501760 1234009728000 1248400512000 1274408856000 1321609184000 1338129298800 1359369446400 1427337918720 1456467264000 1486810332000 1529290627200 1585931020800 1672661623500 1699211808000 1712805502464 1747760716800 1784172398400 1903117224960 1911613284000 1982413776000 2039054169600 2141006878080 2184700896000 2230215498000 2265615744000 2378896531200 2446865003520 2548817712000 2643218368000 2676258597600 2854675837440 2912934528000 2973620664000 3058581254400 3171862041600 3345323247000 3398423616000 3425611004928 3568344796800 3823226568000 3964827552000 4078108339200 4282013756160 4369401792000 4460430996000 4757793062400 5097635424000 5286436736000 5352517195200 5709351674880 5947241328000 6117162508800 6690646494000 6796847232000 7136689593600 7646453136000 7929655104000 8564027512320 8738803584000 8920861992000 9515586124800 10195270848000 10705034390400 11894482656000 12234325017600 13381292988000 14273379187200 15292906272000 15859310208000 17128055024640 17841723984000 20390541696000 21410068780800 23788965312000 26762585976000 28546758374400 30585812544000 35683447968000 42820137561600 47577930624000 53525171952000 61171625088000 71366895936000 85640275123200 107050343904000 142733791872000 214100687808000 428201375616000
- Sum of all divisors σ(n): 1866380197281600
- Sum of proper divisors (its aliquot sum) s(n): 1438178821665600
- 428201375616000 is an abundant number, because the sum of its proper divisors (1438178821665600) is greater than itself. Its abundance is 1009977446049600
Bases of 428201375616000
- Binary: 11000010101110010011001101110001011001100000000002
- Hexadecimal: 0x1857266E2CC00
- Base-36: 47S8ZV7K00
Squares and roots of 428201375616000
- 428201375616000 squared (4282013756160002) is 183356418079434719379456000000
- 428201375616000 cubed (4282013756160003) is 78513470449636359597953993089744896000000000
-
The
square root of 428201375616000 is 20693027.2221345131 -
The
cube root of 428201375616000 is 75373.0378269931
Scales and comparisons
How big is 428201375616000?- 428,201,375,616,000 seconds is equal to 13,615,479 years, 12 weeks.
-
To count from 1 to 428,201,375,616,000 would take you about thirty-four million, thirty-eight thousand, six hundred ninety-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 428201375616000 cubic inches would be around 6281.1 feet tall.
Recreational maths with 428201375616000
- 428201375616000 backwards is 000616573102824
- 428201375616000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428201375616000's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 428201375616000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 428201375616000 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/428201375616000/
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The information we have on file for 428201375616000 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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