428071927362048000
428,071,927,362,048,000 is an even composite number composed of five prime numbers multiplied together.
428071927362048000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, three hundred forty divisors.
Prime factorization of 428071927362048000:
212 × 34 × 53 × 2832 × 3592
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 283 × 283 × 359 × 359)See below for interesting mathematical facts about the number 428071927362048000 from the Numbermatics database.
Names of 428071927362048000
- Cardinal: 428071927362048000 can be written as Four hundred twenty-eight quadrillion, seventy-one trillion, nine hundred twenty-seven billion, three hundred sixty-two million, forty-eight thousand.
Scientific notation
- Scientific notation: 4.28071927362048 × 1017
Factors of 428071927362048000
Divisors of 428071927362048000
- Number of divisors d(n): 2340
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 125 128 135 144 150 160 162 180 192 200 216 225 240 250 256 270 283 288 300 320 324 359 360 375 384 400 405 432 450 480 500 512 540 566 576 600 640 648 675 718 720 750 768 800 810 849 864 900 960 1000 1024 1077 1080 1125 1132 1152 1200 1280 1296 1350 1415 1436 1440 1500 1536 1600 1620 1698 1728 1795 1800 1920 2000 2025 2048 2154 2160 2250 2264 2304 2400 2547 2560 2592 2700 2830 2872 2880 3000 3072 3200 3231 3240 3375 3396 3456 3590 3600 3840 4000 4050 4096 4245 4308 4320 4500 4528 4608 4800 5094 5120 5184 5385 5400 5660 5744 5760 6000 6144 6400 6462 6480 6750 6792 6912 7075 7180 7200 7641 7680 8000 8100 8490 8616 8640 8975 9000 9056 9216 9600 9693 10125 10188 10240 10368 10770 10800 11320 11488 11520 12000 12288 12735 12800 12924 12960 13500 13584 13824 14150 14360 14400 15282 15360 16000 16155 16200 16980 17232 17280 17950 18000 18112 18432 19200 19386 20250 20376 20480 20736 21225 21540 21600 22640 22923 22976 23040 24000 25470 25600 25848 25920 26925 27000 27168 27648 28300 28720 28800 29079 30564 30720 32000 32310 32400 33960 34464 34560 35375 35900 36000 36224 36864 38205 38400 38772 40500 40752 41472 42450 43080 43200 44875 45280 45846 45952 46080 48000 48465 50940 51200 51696 51840 53850 54000 54336 55296 56600 57440 57600 58158 61128 61440 63675 64000 64620 64800 67920 68928 69120 70750 71800 72000 72448 76410 76800 77544 80089 80775 81000 81504 82944 84900 86160 86400 89750 90560 91692 91904 92160 96000 96930 101597 101880 102400 103392 103680 106125 107700 108000 108672 110592 113200 114615 114880 115200 116316 122256 127350 128000 128881 129240 129600 134625 135840 137856 138240 141500 143600 144000 144896 145395 152820 153600 155088 160178 161550 162000 163008 165888 169800 172320 172800 179500 181120 183384 183808 184320 191025 192000 193860 203194 203760 206784 207360 212250 215400 216000 217344 226400 229230 229760 230400 232632 240267 242325 244512 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8918165153376 9289755368100 9315632124000 9337170688000 9453885321600 9539207294976 9909072392640 9936674265600 10084144343040 10321950409000 10504317024000 10569677218816 11040749184000 11147706441720 11204604825600 11612194210125 11817356652000 11890886871168 11924009118720 12100973211648 12386340490800 12420842832000 12605180428800 13212096523520 13248899020800 13377247730064 13934633052150 14005756032000 14720998912000 14863608588960 14905011398400 15126216514560 15482925613500 15756475536000 15854515828224 15898678824960 16515120654400 16561123776000 16721559662580 16806907238400 17836330306752 18579510736200 18631264248000 18674341376000 18907770643200 19818144785280 19873348531200 20168288686080 20643900818000 20901949578225 21008634048000 21139354437632 22081498368000 22295412883440 23224388420250 23634713304000 23781773742336 23848018237440 24772680981600 24841685664000 25210360857600 26424193047040 26497798041600 26754495460128 27869266104300 28011512064000 29727217177920 29810022796800 30252433029120 30965851227000 31512951072000 31709031656448 33030241308800 33122247552000 33443119325160 33613814476800 34836582630375 35672660613504 37159021472400 37262528496000 37815541286400 39636289570560 39746697062400 41287801636000 41803899156450 42017268096000 42278708875264 44162996736000 44590825766880 46448776840500 47269426608000 47563547484672 47696036474880 49545361963200 49683371328000 50420721715200 52848386094080 53508990920256 55738532208600 56023024128000 59454434355840 59620045593600 60504866058240 61931702454000 63025902144000 63418063312896 66060482617600 66244495104000 66886238650320 69673165260750 71345321227008 74318042944800 74525056992000 75631082572800 79272579141120 79493394124800 82575603272000 83607798312900 84034536192000 89181651533760 92897553681000 94538853216000 95127094969344 99090723926400 99366742656000 100841443430400 104509747891125 105696772188160 107017981840512 111477064417200 118908868711680 119240091187200 123863404908000 126051804288000 126836126625792 132120965235200 132488990208000 133772477300640 139346330521500 142690642454016 148636085889600 149050113984000 151262165145600 158545158282240 165151206544000 167215596625800 168069072384000 178363303067520 185795107362000 189077706432000 190254189938688 198181447852800 198733485312000 209019495782250 211393544376320 214035963681024 222954128834400 237817737423360 238480182374400 247726809816000 252103608576000 264241930470400 267544954601280 278692661043000 285381284908032 297272171779200 298100227968000 302524330291200 317090316564480 330302413088000 334431193251600 356726606135040 371590214724000 378155412864000 380508379877376 396362895705600 397466970624000 418038991564500 428071927362048 445908257668800 475635474846720 495453619632000 504207217152000 528483860940800 535089909202560 557385322086000 570762569816064 594544343558400 596200455936000 634180633128960 660604826176000 668862386503200 713453212270080 743180429448000 756310825728000 792725791411200 836077983129000 856143854724096 891816515337600 951270949693440 990907239264000 1056967721881600 1070179818405120 1114770644172000 1141525139632128 1189088687116800 1192400911872000 1321209652352000 1337724773006400 1426906424540160 1486360858896000 1512621651456000 1585451582822400 1672155966258000 1712287709448192 1783633030675200 1902541899386880 1981814478528000 2140359636810240 2229541288344000 2378177374233600 2642419304704000 2675449546012800 2853812849080320 2972721717792000 3170903165644800 3344311932516000 3424575418896384 3567266061350400 3963628957056000 4280719273620480 4459082576688000 4756354748467200 5284838609408000 5350899092025600 5707625698160640 5945443435584000 6688623865032000 7134532122700800 7927257914112000 8561438547240960 8918165153376000 9512709496934400 10701798184051200 11890886871168000 13377247730064000 14269064245401600 15854515828224000 17122877094481920 17836330306752000 21403596368102400 23781773742336000 26754495460128000 28538128490803200 35672660613504000 42807192736204800 47563547484672000 53508990920256000 71345321227008000 85614385472409600 107017981840512000 142690642454016000 214035963681024000 428071927362048000
- Sum of all divisors σ(n): 1606043793433267188
- Sum of proper divisors (its aliquot sum) s(n): 1177971866071219188
- 428071927362048000 is an abundant number, because the sum of its proper divisors (1177971866071219188) is greater than itself. Its abundance is 749899938709171188
Bases of 428071927362048000
- Binary: 101111100001101000100100110011000001011101101010000000000002
- Hexadecimal: 0x5F0D12660BB5000
- Base-36: 392YU0LHQ800
Squares and roots of 428071927362048000
- 428071927362048000 squared (4280719273620480002) is 183245574995458499184070754304000000
- 428071927362048000 cubed (4280719273620480003) is 78442286468872629930208854211851272262254592000000000
-
The
square root of 428071927362048000 is 654272059.1329328653 -
The
cube root of 428071927362048000 is 753654.4179698153
Scales and comparisons
How big is 428071927362048000?- 428,071,927,362,048,000 seconds is equal to 13,611,363,176 years, 36 weeks, 4 days.
-
To count from 1 to 428,071,927,362,048,000 would take you about forty billion, eight hundred thirty-four million, eighty-nine thousand, five hundred thirty 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 428071927362048000 cubic inches would be around 62804.5 feet tall.
Recreational maths with 428071927362048000
- 428071927362048000 backwards is 000840263729170824
- The number of decimal digits it has is: 18
- The sum of 428071927362048000's digits is 63
- More coming soon!
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"Number 428071927362048000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 428071927362048000 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/428071927362048000/
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The information we have on file for 428071927362048000 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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