428161656662016000
428,161,656,662,016,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 428161656662016000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
428161656662016000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 428161656662016000:
214 × 3 × 53 × 172 × 31 × 27892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 17 × 31 × 2789 × 2789)See below for interesting mathematical facts about the number 428161656662016000 from the Numbermatics database.
Names of 428161656662016000
- Cardinal: 428161656662016000 can be written as Four hundred twenty-eight quadrillion, one hundred sixty-one trillion, six hundred fifty-six billion, six hundred sixty-two million, sixteen thousand.
Scientific notation
- Scientific notation: 4.28161656662016 × 1017
Factors of 428161656662016000
Divisors of 428161656662016000
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 31 32 34 40 48 50 51 60 62 64 68 75 80 85 93 96 100 102 120 124 125 128 136 150 155 160 170 186 192 200 204 240 248 250 255 256 272 289 300 310 320 340 372 375 384 400 408 425 465 480 496 500 510 512 527 544 578 600 620 640 680 744 750 768 775 800 816 850 867 930 960 992 1000 1020 1024 1054 1088 1156 1200 1240 1275 1280 1360 1445 1488 1500 1536 1550 1581 1600 1632 1700 1734 1860 1920 1984 2000 2040 2048 2108 2125 2176 2312 2325 2400 2480 2550 2560 2635 2720 2789 2890 2976 3000 3072 3100 3162 3200 3264 3400 3468 3720 3840 3875 3968 4000 4080 4096 4216 4250 4335 4352 4624 4650 4800 4960 5100 5120 5270 5440 5578 5780 5952 6000 6144 6200 6324 6375 6400 6528 6800 6936 7225 7440 7680 7750 7905 7936 8000 8160 8192 8367 8432 8500 8670 8704 8959 9248 9300 9600 9920 10200 10240 10540 10880 11156 11560 11625 11904 12000 12288 12400 12648 12750 12800 13056 13175 13600 13872 13945 14450 14880 15360 15500 15810 15872 16000 16320 16384 16734 16864 17000 17340 17408 17918 18496 18600 19200 19840 20400 20480 21080 21675 21760 22312 23120 23250 23808 24000 24576 24800 25296 25500 25600 26112 26350 26877 27200 27744 27890 28900 29760 30720 31000 31620 31744 32000 32640 33468 33728 34000 34680 34816 35836 36125 36992 37200 38400 39525 39680 40800 40960 41835 42160 43350 43520 44624 44795 46240 46500 47413 47616 48000 49152 49600 50592 51000 51200 52224 52700 53754 54400 55488 55780 57800 59520 61440 62000 63240 63488 64000 65280 65875 66936 67456 68000 69360 69632 69725 71672 72250 73984 74400 76800 79050 79360 81600 81920 83670 84320 86459 86700 87040 89248 89590 92480 93000 94826 95232 96000 99200 101184 102000 102400 104448 105400 107508 108375 108800 110976 111560 115600 119040 122880 124000 126480 126976 128000 130560 131750 133872 134385 134912 136000 138720 139264 139450 142239 143344 144500 147968 148800 153600 158100 158720 163200 167340 168640 172918 173400 174080 178496 179180 184960 186000 189652 190464 192000 197625 198400 202368 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107903643312000 110493330751488 111500431422400 115097219532800 123460685312000 125929899018240 131176978144000 133800517706880 135408493568000 138116663439360 139375539278000 142720552220672 143871524416000 148152822374400 153517983744000 157412373772800 162490192281600 167250647133600 167906532024320 172645829299200 178400690275840 184155551252480 185191027968000 196765467216000 201487838429184 203112740352000 209063308917000 209883165030400 214080828331008 215807286624000 223000862844800 230194439065600 246921370624000 251859798036480 262353956288000 267601035413760 270816987136000 276233326878720 278751078556000 285441104441344 287743048832000 296305644748800 314824747545600 334501294267200 335813064048640 345291658598400 356801380551680 370382055936000 393530934432000 406225480704000 418126617834000 419766330060800 428161656662016 431614573248000 446001725689600 460388878131200 493842741248000 503719596072960 524707912576000 535202070827520 552466653757440 557502157112000 570882208882688 575486097664000 629649495091200 669002588534400 690583317196800 713602761103360 740764111872000 787061868864000 812450961408000 836253235668000 839532660121600 856323313324032 863229146496000 892003451379200 920777756262400 1007439192145920 1049415825152000 1070404141655040 1115004314224000 1141764417765376 1150972195328000 1259298990182400 1338005177068800 1381166634393600 1427205522206720 1481528223744000 1574123737728000 1672506471336000 1679065320243200 1712646626648064 1726458292992000 1784006902758400 2098831650304000 2140808283310080 2230008628448000 2301944390656000 2518597980364800 2676010354137600 2762333268787200 2854411044413440 3148247475456000 3345012942672000 3425293253296128 3452916585984000 3568013805516800 4197663300608000 4281616566620160 4460017256896000 4603888781312000 5037195960729600 5352020708275200 5708822088826880 6296494950912000 6690025885344000 6905833171968000 7136027611033600 8395326601216000 8563233133240320 8920034513792000 10704041416550400 12592989901824000 13380051770688000 13811666343936000 14272055222067200 17126466266480640 17840069027584000 21408082833100800 25185979803648000 26760103541376000 28544110444134400 35680138055168000 42816165666201600 53520207082752000 71360276110336000 85632331332403200 107040414165504000 142720552220672000 214080828331008000 428161656662016000
- Sum of all divisors σ(n): 1563012308260096512
- Sum of proper divisors (its aliquot sum) s(n): 1134850651598080512
- 428161656662016000 is an abundant number, because the sum of its proper divisors (1134850651598080512) is greater than itself. Its abundance is 706688994936064512
Bases of 428161656662016000
- Binary: 101111100010010001011000010000110111100100001000000000000002
- Hexadecimal: 0x5F122C21BC84000
- Base-36: 393UN1O26QYO
Squares and roots of 428161656662016000
- 428161656662016000 squared (4281616566620160002) is 183322404235562070155257184256000000
- 428161656662016000 cubed (4281616566620160003) is 78491624300762034810872952552848828028420096000000000
-
The
square root of 428161656662016000 is 654340627.3967833033 -
The
cube root of 428161656662016000 is 753707.0727960717
Scales and comparisons
How big is 428161656662016000?- 428,161,656,662,016,000 seconds is equal to 13,614,216,290 years, 46 weeks, 2 days, 10 hours, 40 minutes.
-
To count from 1 to 428,161,656,662,016,000 would take you about forty billion, eight hundred forty-two million, six hundred forty-eight thousand, eight hundred seventy-two 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 428161656662016000 cubic inches would be around 62808.9 feet tall.
Recreational maths with 428161656662016000
- 428161656662016000 backwards is 000610266656161824
- 428161656662016000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 428161656662016000's digits is 60
- More coming soon!
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"Number 428161656662016000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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The information we have on file for 428161656662016000 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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