428168916029030400
428,168,916,029,030,400 is an even composite number composed of five prime numbers multiplied together.
428168916029030400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, seven hundred divisors.
Prime factorization of 428168916029030400:
214 × 34 × 52 × 72 × 6413
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 641 × 641 × 641)See below for interesting mathematical facts about the number 428168916029030400 from the Numbermatics database.
Names of 428168916029030400
- Cardinal: 428168916029030400 can be written as Four hundred twenty-eight quadrillion, one hundred sixty-eight trillion, nine hundred sixteen billion, twenty-nine million, thirty thousand, four hundred.
Scientific notation
- Scientific notation: 4.281689160290304 × 1017
Factors of 428168916029030400
Divisors of 428168916029030400
- Number of divisors d(n): 2700
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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 98 100 105 108 112 120 126 128 135 140 144 147 150 160 162 168 175 180 189 192 196 200 210 216 224 225 240 245 252 256 270 280 288 294 300 315 320 324 336 350 360 378 384 392 400 405 420 432 441 448 450 480 490 504 512 525 540 560 567 576 588 600 630 640 641 648 672 675 700 720 735 756 768 784 800 810 840 864 882 896 900 945 960 980 1008 1024 1050 1080 1120 1134 1152 1176 1200 1225 1260 1280 1282 1296 1323 1344 1350 1400 1440 1470 1512 1536 1568 1575 1600 1620 1680 1728 1764 1792 1800 1890 1920 1923 1960 2016 2025 2048 2100 2160 2205 2240 2268 2304 2352 2400 2450 2520 2560 2564 2592 2646 2688 2700 2800 2835 2880 2940 3024 3072 3136 3150 3200 3205 3240 3360 3456 3528 3584 3600 3675 3780 3840 3846 3920 3969 4032 4050 4096 4200 4320 4410 4480 4487 4536 4608 4704 4725 4800 4900 5040 5120 5128 5184 5292 5376 5400 5600 5670 5760 5769 5880 6048 6144 6272 6300 6400 6410 6480 6615 6720 6912 7056 7168 7200 7350 7560 7680 7692 7840 7938 8064 8100 8192 8400 8640 8820 8960 8974 9072 9216 9408 9450 9600 9615 9800 10080 10240 10256 10368 10584 10752 10800 11025 11200 11340 11520 11538 11760 12096 12288 12544 12600 12800 12820 12960 13230 13440 13461 13824 14112 14175 14336 14400 14700 15120 15360 15384 15680 15876 16025 16128 16200 16384 16800 17280 17307 17640 17920 17948 18144 18432 18816 18900 19200 19230 19600 19845 20160 20480 20512 20736 21168 21504 21600 22050 22400 22435 22680 23040 23076 23520 24192 24576 25088 25200 25600 25640 25920 26460 26880 26922 27648 28224 28350 28672 28800 28845 29400 30240 30720 30768 31360 31409 31752 32050 32256 32400 33075 33600 34560 34614 35280 35840 35896 36288 36864 37632 37800 38400 38460 39200 39690 40320 40383 40960 41024 41472 42336 43008 43200 44100 44800 44870 45360 46080 46152 47040 48075 48384 49152 50176 50400 51200 51280 51840 51921 52920 53760 53844 55296 56448 56700 57344 57600 57690 58800 60480 61440 61536 62720 62818 63504 64100 64512 64800 66150 67200 67305 69120 69228 70560 71680 71792 72576 73728 75264 75600 76800 76920 78400 79380 80640 80766 81920 82048 82944 84672 86016 86400 86535 88200 89600 89740 90720 92160 92304 94080 94227 96150 96768 99225 100352 100800 102400 102560 103680 103842 105840 107520 107688 110592 112175 112896 113400 114688 115200 115380 117600 120960 121149 122880 123072 125440 125636 127008 128200 129024 129600 132300 134400 134610 138240 138456 141120 143360 143584 144225 145152 147456 150528 151200 153600 153840 156800 157045 158760 161280 161532 164096 165888 169344 172032 172800 173070 176400 179200 179480 181440 184320 184608 188160 188454 192300 193536 198450 200704 201600 201915 204800 205120 207360 207684 211680 215040 215376 221184 224350 225792 226800 230400 230760 235200 241920 242298 245760 246144 250880 251272 254016 256400 258048 259200 259605 264600 268800 269220 276480 276912 282240 282681 286720 287168 288450 290304 301056 302400 307200 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60681535718400 61945734379200 63715612504320 64726971432960 66075450004480 66797022781440 66901393129536 67963320004608 68266727683200 69688951176600 70795125004800 72817842862080 74218914201600 74334881255040 75514800005120 76458735005184 79290540005376 79644515630400 80908714291200 82594312505600 83496278476800 83626741411920 84954150005760 87381411434496 89201857506048 90617760006144 91022303577600 92918601568800 94393500006400 95424318259200 95573418756480 97090457149440 99113175006720 101944980006912 104533426764900 105720720007168 106192687507200 107878285721600 109226764293120 111328371302400 111502321882560 113272200007680 116508548579328 118935810008064 119466773445600 121363071436800 123891468758400 127431225008640 132150900008960 133594045562880 133802786259072 135926640009216 136533455366400 139377902353200 141590250009600 145635685724160 148669762510080 151029600010240 152917470010368 158581080010752 159289031260800 161817428582400 165188625011200 166992556953600 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582542742896640 594679050040320 611669880041472 634324320043008 637156125043200 660754500044800 667970227814400 669013931295360 679633200046080 713614860048384 728178428620800 743348812550400 755148000051200 764587350051840 792905400053760 815559840055296 836267414119200 849541500057600 873814114344960 892018575060480 951486480064512 955734187564800 970904571494400 991131750067200 1019449800069120 1057207200071680 1070422290072576 1092267642931200 1115023218825600 1132722000076800 1189358100080640 1223339760082944 1274312250086400 1321509000089600 1338027862590720 1359266400092160 1427229720096768 1456356857241600 1486697625100800 1529174700103680 1585810800107520 1672534828238400 1699083000115200 1747628228689920 1784037150120960 1902972960129024 1911468375129600 1982263500134400 2038899600138240 2140844580145152 2184535285862400 2230046437651200 2265444000153600 2378716200161280 2446679520165888 2548624500172800 2643018000179200 2676055725181440 2854459440193536 2912713714483200 2973395250201600 3058349400207360 3171621600215040 3345069656476800 3398166000230400 3568074300241920 3822936750259200 3964527000268800 4077799200276480 4281689160290304 4369070571724800 4460092875302400 4757432400322560 5097249000345600 5286036000358400 5352111450362880 5708918880387072 5946790500403200 6116698800414720 6690139312953600 6796332000460800 7136148600483840 7645873500518400 7929054000537600 8563378320580608 8738141143449600 8920185750604800 9514864800645120 10194498000691200 10704222900725760 11893581000806400 12233397600829440 13380278625907200 14272297200967680 15291747001036800 15858108001075200 17126756641161216 17840371501209600 20388996001382400 21408445801451520 23787162001612800 26760557251814400 28544594401935360 30583494002073600 35680743002419200 42816891602903040 47574324003225600 53521114503628800 61166988004147200 71361486004838400 85633783205806080 107042229007257600 142722972009676800 214084458014515200 428168916029030400
- Sum of all divisors σ(n): 1848037353045242436
- Sum of proper divisors (its aliquot sum) s(n): 1419868437016212036
- 428168916029030400 is an abundant number, because the sum of its proper divisors (1419868437016212036) is greater than itself. Its abundance is 991699520987181636
Bases of 428168916029030400
- Binary: 101111100010010100101011100010011111100011001000000000000002
- Hexadecimal: 0x5F1295C4FC64000
- Base-36: 393X7OKPVK00
Squares and roots of 428168916029030400
- 428168916029030400 squared (4281689160290304002) is 183328620653474885798935564124160000
- 428168916029030400 cubed (4281689160290304003) is 78495616782295656674772671769587495611310014464000000
-
The
square root of 428168916029030400 is 654346174.4589253729 -
The
cube root of 428168916029030400 is 753711.3324063191
Scales and comparisons
How big is 428168916029030400?- 428,168,916,029,030,400 seconds is equal to 13,614,447,116 years, 16 weeks.
-
To count from 1 to 428,168,916,029,030,400 would take you about forty billion, eight hundred forty-three million, three hundred forty-one thousand, three 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 428168916029030400 cubic inches would be around 62809.3 feet tall.
Recreational maths with 428168916029030400
- 428168916029030400 backwards is 004030920619861824
- 428168916029030400 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 428168916029030400's digits is 63
- More coming soon!
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Cite this page
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"Number 428168916029030400 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
APA style:
Numbermatics. (2024). Number 428168916029030400 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/428168916029030400/
Chicago style:
Numbermatics. 2024. "Number 428168916029030400 - Facts about the integer". https://numbermatics.com/n/428168916029030400/
The information we have on file for 428168916029030400 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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