428626563988480
428,626,563,988,480 is an even composite number composed of eight prime numbers multiplied together.
What does the number 428626563988480 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2112 divisors.
428626563988480 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 428626563988480:
210 × 5 × 11 × 132 × 17 × 53 × 151 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 13 × 13 × 17 × 53 × 151 × 331)See below for interesting mathematical facts about the number 428626563988480 from the Numbermatics database.
Names of 428626563988480
- Cardinal: 428626563988480 can be written as Four hundred twenty-eight trillion, six hundred twenty-six billion, five hundred sixty-three million, nine hundred eighty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 4.2862656398848 × 1014
Factors of 428626563988480
Divisors of 428626563988480
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 17 20 22 26 32 34 40 44 52 53 55 64 65 68 80 85 88 104 106 110 128 130 136 143 151 160 169 170 176 187 208 212 220 221 256 260 265 272 286 302 320 331 338 340 352 374 416 424 440 442 512 520 530 544 572 583 604 640 662 676 680 689 704 715 748 755 832 845 848 880 884 901 935 1024 1040 1060 1088 1105 1144 1166 1208 1280 1324 1352 1360 1378 1408 1430 1496 1510 1655 1661 1664 1690 1696 1760 1768 1802 1859 1870 1963 2080 2120 2176 2210 2288 2332 2416 2431 2560 2567 2648 2704 2720 2756 2816 2860 2873 2915 2992 3020 3310 3322 3328 3380 3392 3445 3520 3536 3604 3641 3718 3740 3926 4160 4240 4303 4352 4420 4505 4576 4664 4832 4862 5120 5134 5296 5408 5440 5512 5627 5632 5720 5746 5830 5984 6040 6620 6644 6656 6760 6784 6890 7040 7072 7208 7282 7436 7480 7579 7852 8003 8305 8320 8480 8606 8704 8840 8957 9010 9152 9295 9328 9664 9724 9815 9911 10268 10592 10816 10880 11024 11254 11264 11440 11492 11660 11713 11968 12080 12155 12835 13240 13288 13312 13520 13568 13780 14080 14144 14365 14416 14564 14872 14960 15158 15704 16006 16610 16640 16960 17212 17408 17543 17680 17914 18020 18205 18304 18590 18656 19328 19448 19630 19822 20536 21184 21515 21593 21632 21760 22048 22508 22880 22984 23320 23426 23936 24160 24310 25519 25670 26480 26576 27040 27136 27560 28135 28160 28237 28288 28730 28832 29128 29744 29920 30316 31408 31603 32012 33220 33280 33371 33920 34424 35086 35360 35828 36040 36410 36608 37180 37312 37895 38656 38896 39260 39644 40015 41072 42368 43030 43186 43264 43520 44096 44785 45016 45760 45968 46640 46852 47333 47872 48320 48620 49555 49981 51038 51340 52960 53152 54080 54272 55120 55939 56270 56320 56474 56576 57460 57664 58256 58565 59488 59840 60632 61897 62816 63206 64024 66440 66560 66742 67840 68848 70172 70720 71656 72080 72820 73151 73216 74360 74624 75790 77312 77792 78520 79288 80030 82144 84736 86060 86372 86528 87040 87715 88033 88192 89570 90032 91520 91936 93280 93704 94666 95744 96640 97240 98527 99110 99962 102076 102680 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1674322515580 1939486714880 1948302563584 2021823415040 2060704634560 2292120663040 2435378204480 2521332729344 2536251857920 2678916024928 2838586516480 2997388559360 3151665911680 3297127415296 3348645031160 3896605127168 4043646830080 4121409269120 4870756408960 5042665458688 5357832049856 6303331823360 6594254830592 6697290062320 7793210254336 8087293660160 8242818538240 9741512817920 10715664099712 12606663646720 13394580124640 16485637076480 19483025635840 21431328199424 25213327293440 26789160249280 32971274152960 38966051271680 42862656398848 53578320498560 85725312797696 107156640997120 214313281994240 428626563988480
- Sum of all divisors σ(n): 1322968078642176
- Sum of proper divisors (its aliquot sum) s(n): 894341514653696
- 428626563988480 is an abundant number, because the sum of its proper divisors (894341514653696) is greater than itself. Its abundance is 465714950665216
Bases of 428626563988480
- Binary: 11000010111010101011001100001011001111100000000002
- Hexadecimal: 0x185D566167C00
- Base-36: 47XOBPDZWG
Squares and roots of 428626563988480
- 428626563988480 squared (4286265639884802) is 183720731356570539965572710400
- 428626563988480 cubed (4286265639884803) is 78747585814817426543840416530515667976192000
-
The
square root of 428626563988480 is 20703298.3842787717 -
The
cube root of 428626563988480 is 75397.9771347907
Scales and comparisons
How big is 428626563988480?- 428,626,563,988,480 seconds is equal to 13,628,998 years, 47 weeks, 17 hours, 14 minutes, 40 seconds.
-
To count from 1 to 428,626,563,988,480 would take you about thirty-four million, seventy-two thousand, four hundred ninety-seven 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 428626563988480 cubic inches would be around 6283.2 feet tall.
Recreational maths with 428626563988480
- 428626563988480 backwards is 084889365626824
- The number of decimal digits it has is: 15
- The sum of 428626563988480's digits is 79
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The information we have on file for 428626563988480 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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