64427431428096000
64,427,431,428,096,000 is an even composite number composed of six prime numbers multiplied together.
64427431428096000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand and forty divisors.
Prime factorization of 64427431428096000:
220 × 3 × 53 × 114 × 192 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 19 × 19 × 31)See below for interesting mathematical facts about the number 64427431428096000 from the Numbermatics database.
Names of 64427431428096000
- Cardinal: 64427431428096000 can be written as Sixty-four quadrillion, four hundred twenty-seven trillion, four hundred thirty-one billion, four hundred twenty-eight million, ninety-six thousand.
Scientific notation
- Scientific notation: 6.4427431428096 × 1016
Factors of 64427431428096000
Divisors of 64427431428096000
- Number of divisors d(n): 5040
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 25 30 31 32 33 38 40 44 48 50 55 57 60 62 64 66 75 76 80 88 93 95 96 100 110 114 120 121 124 125 128 132 150 152 155 160 165 176 186 190 192 200 209 220 228 240 242 248 250 256 264 275 285 300 304 310 320 330 341 352 361 363 372 375 380 384 400 418 440 456 465 475 480 484 496 500 512 528 550 570 589 600 605 608 620 627 640 660 682 704 722 726 744 750 760 768 775 800 825 836 880 912 930 950 960 968 992 1000 1023 1024 1045 1056 1083 1100 1140 1178 1200 1210 1216 1240 1254 1280 1320 1331 1364 1375 1408 1425 1444 1452 1488 1500 1520 1536 1550 1600 1650 1672 1705 1760 1767 1805 1815 1824 1860 1900 1920 1936 1984 2000 2046 2048 2090 2112 2166 2200 2280 2299 2325 2356 2375 2400 2420 2432 2480 2508 2560 2640 2662 2728 2750 2816 2850 2888 2904 2945 2976 3000 3025 3040 3072 3100 3135 3200 3300 3344 3410 3520 3534 3610 3630 3648 3720 3751 3800 3840 3872 3875 3968 3971 3993 4000 4092 4096 4125 4180 4224 4332 4400 4560 4598 4650 4712 4750 4800 4840 4864 4960 5016 5115 5120 5225 5280 5324 5415 5456 5500 5632 5700 5776 5808 5890 5952 6000 6050 6080 6144 6200 6270 6400 6479 6600 6655 6688 6820 6897 7040 7068 7125 7220 7260 7296 7440 7502 7600 7680 7744 7750 7936 7942 7986 8000 8184 8192 8250 8360 8448 8525 8664 8800 8835 9025 9075 9120 9196 9300 9424 9500 9600 9680 9728 9920 10032 10230 10240 10450 10560 10648 10830 10912 11000 11191 11253 11264 11400 11495 11552 11616 11625 11780 11904 11913 12000 12100 12160 12288 12400 12540 12800 12958 13200 13310 13376 13640 13794 14080 14136 14250 14440 14520 14592 14641 14725 14880 15004 15125 15200 15360 15488 15500 15675 15872 15884 15972 16000 16368 16384 16500 16720 16896 17050 17328 17600 17670 18050 18150 18240 18392 18600 18755 18848 19000 19200 19360 19437 19456 19840 19855 19965 20064 20460 20480 20900 21120 21296 21660 21824 22000 22382 22506 22528 22800 22990 23104 23232 23250 23560 23808 23826 24000 24200 24320 24576 24800 25080 25289 25575 25600 25916 26125 26400 26620 26752 27075 27280 27588 28160 28272 28500 28880 29040 29184 29282 29450 29760 30008 30250 30400 30720 30976 31000 31350 31744 31768 31944 32000 32395 32736 32768 33000 33275 33440 33573 33792 34100 34485 34656 35200 35340 36100 36300 36480 36784 37200 37510 37696 38000 38400 38720 38874 38912 39680 39710 39930 40128 40920 40960 41261 41800 42240 42592 42625 43320 43648 43681 43923 44000 44175 44764 45012 45056 45125 45375 45600 45980 46208 46464 46500 47120 47616 47652 48000 48400 48640 49152 49600 50160 50578 51150 51200 51832 52250 52800 53240 53504 54150 54560 55176 55955 56265 56320 56544 57000 57475 57760 58080 58368 58564 58900 59520 59565 60016 60500 60800 61440 61952 62000 62700 63488 63536 63888 64000 64790 65472 65536 66000 66550 66880 67146 67584 68200 68970 69312 70400 70680 71269 72200 72600 72960 73205 73568 73625 74400 75020 75392 75867 76000 76800 77440 77748 77824 78375 79360 79420 79860 80256 81840 81920 82522 83600 84480 85184 85250 86640 87296 87362 87846 88000 88350 89528 90024 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282576453632000 292851961036800 308265222144000 322137157140480 335559538688000 339091744358400 346384039936000 366064951296000 390469281382400 402671446425600 415660847923200 423864680448000 429516209520640 488086601728000 503339308032000 515419451424768 519576059904000 532458110976000 536895261900800 565152907264000 585703922073600 644274314280960 671119077376000 678183488716800 692768079872000 732129902592000 805342892851200 847729360896000 859032419041280 976173203456000 1006678616064000 1039152119808000 1073790523801600 1130305814528000 1171407844147200 1288548628561920 1342238154752000 1464259805184000 1610685785702400 1695458721792000 1952346406912000 2013357232128000 2078304239616000 2147581047603200 2577097257123840 2684476309504000 2928519610368000 3221371571404800 3390917443584000 4026714464256000 4295162095206400 5368952619008000 5857039220736000 6442743142809600 8053428928512000 10737905238016000 12885486285619200 16106857857024000 21475810476032000 32213715714048000 64427431428096000
- Sum of all divisors σ(n): 256950800306403840
- Sum of proper divisors (its aliquot sum) s(n): 192523368878307840
- 64427431428096000 is an abundant number, because the sum of its proper divisors (192523368878307840) is greater than itself. Its abundance is 128095937450211840
Bases of 64427431428096000
- Binary: 111001001110010001101000010101000001000000000000000000002
- Hexadecimal: 0xE4E46854100000
- Base-36: HMDM9EDAY2O
Squares and roots of 64427431428096000
- 64427431428096000 squared (644274314280960002) is 4150893920422012186018185216000000
- 64427431428096000 cubed (644274314280960003) is 267431433423289764752827521534701114228736000000000
-
The
square root of 64427431428096000 is 253825592.5396334025 -
The
cube root of 64427431428096000 is 400888.5070685327
Scales and comparisons
How big is 64427431428096000?- 64,427,431,428,096,000 seconds is equal to 2,048,593,032 years, 14 weeks, 5 days, 2 hours, 40 minutes.
-
To count from 1 to 64,427,431,428,096,000 would take you about six billion, one hundred forty-five million, seven hundred seventy-nine thousand and ninety-six 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 64427431428096000 cubic inches would be around 33407.4 feet tall.
Recreational maths with 64427431428096000
- 64427431428096000 backwards is 00069082413472446
- 64427431428096000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 64427431428096000's digits is 60
- More coming soon!
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Cite this page
MLA style:
"Number 64427431428096000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 64427431428096000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/64427431428096000/
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The information we have on file for 64427431428096000 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!
Keywords: Divisors of 64427431428096000, math, Factors of 64427431428096000, curriculum, school, college, exams, university, Prime factorization of 64427431428096000, STEM, science, technology, engineering, physics, economics, calculator, sixty-four quadrillion, four hundred twenty-seven trillion, four hundred thirty-one billion, four hundred twenty-eight million, ninety-six thousand.