428435324798976000
428,435,324,798,976,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 428435324798976000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2160 divisors.
428435324798976000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 428435324798976000:
214 × 32 × 53 × 112 × 5773
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 577 × 577 × 577)See below for interesting mathematical facts about the number 428435324798976000 from the Numbermatics database.
Names of 428435324798976000
- Cardinal: 428435324798976000 can be written as Four hundred twenty-eight quadrillion, four hundred thirty-five trillion, three hundred twenty-four billion, seven hundred ninety-eight million, nine hundred seventy-six thousand.
Scientific notation
- Scientific notation: 4.28435324798976 × 1017
Factors of 428435324798976000
Divisors of 428435324798976000
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 60 64 66 72 75 80 88 90 96 99 100 110 120 121 125 128 132 144 150 160 165 176 180 192 198 200 220 225 240 242 250 256 264 275 288 300 320 330 352 360 363 375 384 396 400 440 450 480 484 495 500 512 528 550 576 577 600 605 640 660 704 720 726 750 768 792 800 825 880 900 960 968 990 1000 1024 1056 1089 1100 1125 1152 1154 1200 1210 1280 1320 1375 1408 1440 1452 1500 1536 1584 1600 1650 1731 1760 1800 1815 1920 1936 1980 2000 2048 2112 2178 2200 2250 2304 2308 2400 2420 2475 2560 2640 2750 2816 2880 2885 2904 3000 3025 3072 3168 3200 3300 3462 3520 3600 3630 3840 3872 3960 4000 4096 4125 4224 4356 4400 4500 4608 4616 4800 4840 4950 5120 5193 5280 5445 5500 5632 5760 5770 5808 6000 6050 6144 6336 6347 6400 6600 6924 7040 7200 7260 7680 7744 7920 8000 8192 8250 8448 8655 8712 8800 9000 9075 9216 9232 9600 9680 9900 10240 10386 10560 10890 11000 11264 11520 11540 11616 12000 12100 12288 12375 12672 12694 12800 13200 13848 14080 14400 14425 14520 15125 15360 15488 15840 16000 16384 16500 16896 17310 17424 17600 18000 18150 18432 18464 19041 19200 19360 19800 20480 20772 21120 21780 22000 22528 23040 23080 23232 24000 24200 24576 24750 25344 25388 25600 25965 26400 27225 27696 28160 28800 28850 29040 30250 30720 30976 31680 31735 32000 33000 33792 34620 34848 35200 36000 36300 36864 36928 38082 38400 38720 39600 40960 41544 42240 43275 43560 44000 45056 45375 46080 46160 46464 48000 48400 49152 49500 50688 50776 51200 51930 52800 54450 55392 56320 57123 57600 57700 58080 60500 61440 61952 63360 63470 64000 66000 67584 69240 69696 69817 70400 72000 72125 72600 73728 73856 76164 76800 77440 79200 81920 83088 84480 86550 87120 88000 90112 90750 92160 92320 92928 95205 96000 96800 99000 101376 101552 102400 103860 105600 108900 110784 112640 114246 115200 115400 116160 121000 122880 123904 126720 126940 128000 129825 132000 135168 136125 138480 139392 139634 140800 144000 144250 145200 147456 147712 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173105181736960 177039390412800 178514718666240 185630556672000 185952831944000 190415699910656 194743329454080 196710433792000 202857634848000 209196935937000 214217662399488 216381477171200 221299238016000 223143398332800 236052520550400 238019624888320 243429161817600 247507408896000 259657772605440 267772077999360 270476846464000 278929247916000 285623549865984 295065650688000 297524531110400 304286452272000 311589327126528 324572215756800 334715097499200 354078780825600 357029437332480 371261113344000 371905663888000 380831399821312 389486658908160 393420867584000 405715269696000 418393871874000 428435324798976 432762954342400 442598476032000 446286796665600 476039249776640 486858323635200 519315545210880 535544155998720 540953692928000 557858495832000 571247099731968 590131301376000 595049062220800 608572904544000 649144431513600 669430194998400 708157561651200 714058874664960 742522226688000 743811327776000 778973317816320 811430539392000 836787743748000 856870649597952 865525908684800 885196952064000 892573593331200 952078499553280 973716647270400 1071088311997440 1081907385856000 1115716991664000 1142494199463936 1180262602752000 1190098124441600 1217145809088000 1298288863027200 1338860389996800 1428117749329920 1487622655552000 1557946635632640 1622861078784000 1673575487496000 1713741299195904 1770393904128000 1785147186662400 1904156999106560 1947433294540800 2142176623994880 2163814771712000 2231433983328000 2380196248883200 2434291618176000 2596577726054400 2677720779993600 2856235498659840 2975245311104000 3245722157568000 3347150974992000 3427482598391808 3540787808256000 3570294373324800 3894866589081600 4284353247989760 4327629543424000 4462867966656000 4760392497766400 4868583236352000 5355441559987200 5712470997319680 5950490622208000 6491444315136000 6694301949984000 7140588746649600 7789733178163200 8568706495979520 8925735933312000 9520784995532800 9737166472704000 10710883119974400 11900981244416000 12982888630272000 13388603899968000 14281177493299200 17137412991959040 17851471866624000 19474332945408000 21421766239948800 23801962488832000 26777207799936000 28562354986598400 35702943733248000 38948665890816000 42843532479897600 47603924977664000 53554415599872000 71405887466496000 85687064959795200 107108831199744000 142811774932992000 214217662399488000 428435324798976000
- Sum of all divisors σ(n): 1700736537732370320
- Sum of proper divisors (its aliquot sum) s(n): 1272301212933394320
- 428435324798976000 is an abundant number, because the sum of its proper divisors (1272301212933394320) is greater than itself. Its abundance is 843865888134418320
Bases of 428435324798976000
- Binary: 101111100100001101110101000011011111101111101000000000000002
- Hexadecimal: 0x5F21BA86FDF4000
- Base-36: 396JNB2P14W0
Squares and roots of 428435324798976000
- 428435324798976000 squared (4284353247989760002) is 183556827535604059494810648576000000
- 428435324798976000 cubed (4284353247989760003) is 78642229024286146602461265580234531380658176000000000
-
The
square root of 428435324798976000 is 654549711.4803244645 -
The
cube root of 428435324798976000 is 753867.6209414929
Scales and comparisons
How big is 428435324798976000?- 428,435,324,798,976,000 seconds is equal to 13,622,918,091 years, 7 weeks, 8 hours.
-
To count from 1 to 428,435,324,798,976,000 would take you about forty billion, eight hundred sixty-eight million, seven hundred fifty-four thousand, two hundred seventy-three 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 428435324798976000 cubic inches would be around 62822.3 feet tall.
Recreational maths with 428435324798976000
- 428435324798976000 backwards is 000679897423534824
- The number of decimal digits it has is: 18
- The sum of 428435324798976000's digits is 81
- More coming soon!
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"Number 428435324798976000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 428435324798976000 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/428435324798976000/
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The information we have on file for 428435324798976000 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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