428146047935136000
428,146,047,935,136,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 428146047935136000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1728 divisors.
428146047935136000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 428146047935136000:
28 × 32 × 53 × 1013 × 1133
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 101 × 101 × 101 × 113 × 113 × 113)See below for interesting mathematical facts about the number 428146047935136000 from the Numbermatics database.
Names of 428146047935136000
- Cardinal: 428146047935136000 can be written as Four hundred twenty-eight quadrillion, one hundred forty-six trillion, forty-seven billion, nine hundred thirty-five million, one hundred thirty-six thousand.
Scientific notation
- Scientific notation: 4.28146047935136 × 1017
Factors of 428146047935136000
Divisors of 428146047935136000
- Number of divisors d(n): 1728
-
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 96 100 101 113 120 125 128 144 150 160 180 192 200 202 225 226 240 250 256 288 300 303 320 339 360 375 384 400 404 450 452 480 500 505 565 576 600 606 640 678 720 750 768 800 808 900 904 909 960 1000 1010 1017 1125 1130 1152 1200 1212 1280 1356 1440 1500 1515 1600 1616 1695 1800 1808 1818 1920 2000 2020 2034 2250 2260 2304 2400 2424 2525 2712 2825 2880 3000 3030 3200 3232 3390 3600 3616 3636 3840 4000 4040 4068 4500 4520 4545 4800 4848 5050 5085 5424 5650 5760 6000 6060 6400 6464 6780 7200 7232 7272 7575 8000 8080 8136 8475 9000 9040 9090 9600 9696 10100 10170 10201 10848 11300 11413 11520 12000 12120 12625 12769 12928 13560 14125 14400 14464 14544 15150 16000 16160 16272 16950 18000 18080 18180 19200 19392 20200 20340 20402 21696 22600 22725 22826 24000 24240 25250 25425 25538 25856 27120 28250 28800 28928 29088 30300 30603 32000 32320 32544 33900 34239 36000 36160 36360 37875 38307 38784 40400 40680 40804 42375 43392 45200 45450 45652 48000 48480 50500 50850 51005 51076 54240 56500 57065 57600 58176 60600 61206 63845 64640 65088 67800 68478 72000 72320 72720 75750 76614 77568 80800 81360 81608 84750 86784 90400 90900 91304 91809 96000 96960 101000 101700 102010 102152 102717 108480 113000 113625 114130 114921 116352 121200 122412 127125 127690 129280 130176 135600 136956 144000 144640 145440 151500 153015 153228 161600 162720 163216 169500 171195 180800 181800 182608 183618 191535 193920 202000 203400 204020 204304 205434 216960 226000 227250 228260 229842 232704 242400 244824 254250 255025 255380 260352 271200 273912 285325 288000 290880 303000 306030 306456 319225 323200 325440 326432 339000 342390 361600 363600 365216 367236 383070 387840 404000 406800 408040 408608 410868 433920 452000 454500 456520 459045 459684 484800 489648 508500 510050 510760 513585 542400 547824 570650 574605 581760 606000 612060 612912 638450 646400 650880 652864 678000 684780 723200 727200 730432 734472 765075 766140 808000 813600 816080 817216 821736 855975 904000 909000 913040 918090 919368 957675 969600 979296 1017000 1020100 1021520 1027170 1030301 1084800 1095648 1141300 1149210 1152713 1163520 1212000 1224120 1225824 1275125 1276900 1289669 1301760 1305728 1356000 1369560 1426625 1442897 1454400 1460864 1468944 1530150 1532280 1596125 1616000 1627200 1632160 1634432 1643472 1711950 1808000 1818000 1826080 1836180 1838736 1915350 1939200 1958592 2034000 2040200 2043040 2054340 2060602 2169600 2191296 2282600 2295225 2298420 2305426 2424000 2448240 2451648 2550250 2553800 2567925 2579338 2611456 2712000 2739120 2853250 2873025 2885794 2908800 2921728 2937888 3060300 3064560 3090903 3192250 3232000 3254400 3264320 3268864 3286944 3423900 3458139 3616000 3636000 3652160 3672360 3677472 3825375 3830700 3869007 3917184 4068000 4080400 4086080 4108680 4121204 4279875 4328691 4382592 4565200 4590450 4596840 4610852 4788375 4848000 4896480 4903296 5100500 5107600 5135850 5151505 5158676 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25757525 25793380 25972146 26295552 27391200 27665112 28730250 28817825 28857940 29088000 29378880 29419776 30603000 30645600 30909030 30952056 32241725 32544000 32643200 32869440 32969632 34239000 34581390 34629528 36072425 36521600 36723600 36774720 36886816 37090836 38307000 38690070 39171840 40804000 40860800 41086800 41212040 41269408 41497668 43286910 43825920 45652000 45904500 45968400 46108520 46172704 46363545 46428084 48964800 49032960 49454448 51076000 51358500 51515050 51586760 51872085 51944292 54782400 55330224 57460500 57635650 57715880 58035105 58757760 61206000 61291200 61818060 61904112 64483450 64930365 65286400 65738880 65939264 68478000 69162780 69259056 72144850 73043200 73447200 73549440 73773632 74181672 76614000 77272575 77380140 81608000 81721600 82173600 82424080 82538816 82995336 86453475 86573820 91304000 91809000 91936800 92217040 92345408 92727090 92856168 96725175 97929600 98908896 102152000 102717000 103030100 103173520 103744170 103888584 108217275 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4736128848840 4933467550875 5051870772096 5246373492000 5262365387600 5298837226920 5519622111375 5588352624000 5652093042048 5887596918800 5920161061050 5946472887988 6252315312000 6314838465120 6577956734500 6623546533650 6706023148800 6995164656000 7065116302560 7359496148500 7433091109985 7502778374400 7577806158144 7893548081400 8382528936000 8394197587200 8419784620160 8478139563072 8831395378200 8919709331982 9378472968000 9420155070080 9472257697680 9866935101750 10103741544192 10492746984000 10524730775200 10597674453840 11039244222750 11176705248000 11304186084096 11775193837600 11840322122100 11892945775976 12504630624000 12629676930240 13155913469000 13247093067300 13379563997973 13990329312000 14130232605120 14718992297000 14800402652625 14866182219970 15155612316288 15787096162800 16558866334125 16765057872000 16839569240320 16956279126144 17662790756400 17839418663964 18756945936000 18840310140160 18944515395360 19733870203500 20985493968000 21049461550400 21195348907680 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142715349311712 148661822199700 151556123162880 157870961628000 169562791261440 176627907564000 178394186639640 185827277749625 189445153953600 190287132415616 210494615504000 211953489076800 214073023967568 222992733299550 235503876752000 236806442442000 237858915519520 252593538604800 264941861346000 267591279959460 282604652102400 285430698623424 297323644399400 315741923256000 334489099949325 353255815128000 356788373279280 371654555499250 378890307907200 380574264831232 420989231008000 423906978153600 428146047935136 445985466599100 471007753504000 473612884884000 475717831039040 529883722692000 535182559918920 557481833248875 570861397246848 594647288798800 631483846512000 668978199898650 706511630256000 713576746558560 743309110998500 757780615814400 847813956307200 856292095870272 891970933198200 947225769768000 951435662078080 1059767445384000 1070365119837840 1114963666497750 1141722794493696 1189294577597600 1262967693024000 1337956399797300 1413023260512000 1427153493117120 1486618221997000 1672445499746625 1712584191740544 1783941866396400 1894451539536000 1902871324156160 2119534890768000 2140730239675680 2229927332995500 2378589155195200 2675912799594600 2854306986234240 2973236443994000 3344890999493250 3425168383481088 3567883732792800 3788903079072000 4239069781536000 4281460479351360 4459854665991000 4757178310390400 5351825599189200 5708613972468480 5946472887988000 6689781998986500 7135767465585600 8562920958702720 8919709331982000 9514356620780800 10703651198378400 11892945775976000 13379563997973000 14271534931171200 17125841917405440 17839418663964000 21407302396756800 23785891551952000 26759127995946000 28543069862342400 35678837327928000 42814604793513600 47571783103904000 53518255991892000 71357674655856000 85629209587027200 107036511983784000 142715349311712000 214073023967568000 428146047935136000
- Sum of all divisors σ(n): 1569893135071584960
- Sum of proper divisors (its aliquot sum) s(n): 1141747087136448960
- 428146047935136000 is an abundant number, because the sum of its proper divisors (1141747087136448960) is greater than itself. Its abundance is 713601039201312960
Bases of 428146047935136000
- Binary: 101111100010001010010001111111010110010100101000001000000002
- Hexadecimal: 0x5F1148FEB294100
- Base-36: 393P3V497I80
Squares and roots of 428146047935136000
- 428146047935136000 squared (4281460479351360002) is 183309038362475773489263338496000000
- 428146047935136000 cubed (4281460479351360003) is 78483040325684236450827640236741086619795456000000000
-
The
square root of 428146047935136000 is 654328700.2227061109 -
The
cube root of 428146047935136000 is 753697.9138326875
Scales and comparisons
How big is 428146047935136000?- 428,146,047,935,136,000 seconds is equal to 13,613,719,981 years, 34 weeks, 1 day, 8 hours.
-
To count from 1 to 428,146,047,935,136,000 would take you about forty billion, eight hundred forty-one million, one hundred fifty-nine thousand, nine hundred forty-four 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 428146047935136000 cubic inches would be around 62808.2 feet tall.
Recreational maths with 428146047935136000
- 428146047935136000 backwards is 000631539740641824
- The number of decimal digits it has is: 18
- The sum of 428146047935136000's digits is 63
- More coming soon!
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MLA style:
"Number 428146047935136000 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
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Numbermatics. (2024). Number 428146047935136000 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/428146047935136000/
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Numbermatics. 2024. "Number 428146047935136000 - Facts about the integer". https://numbermatics.com/n/428146047935136000/
The information we have on file for 428146047935136000 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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