64428414418008000
64,428,414,418,008,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 64428414418008000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2688 divisors.
64428414418008000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 64428414418008000:
26 × 32 × 53 × 313 × 373 × 593
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 31 × 31 × 31 × 37 × 37 × 37 × 593)See below for interesting mathematical facts about the number 64428414418008000 from the Numbermatics database.
Names of 64428414418008000
- Cardinal: 64428414418008000 can be written as Sixty-four quadrillion, four hundred twenty-eight trillion, four hundred fourteen billion, four hundred eighteen million, eight thousand.
Scientific notation
- Scientific notation: 6.4428414418008 × 1016
Factors of 64428414418008000
Divisors of 64428414418008000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 37 40 45 48 50 60 62 64 72 74 75 80 90 93 96 100 111 120 124 125 144 148 150 155 160 180 185 186 192 200 222 225 240 248 250 279 288 296 300 310 320 333 360 370 372 375 400 444 450 465 480 496 500 555 558 576 592 593 600 620 666 720 740 744 750 775 800 888 900 925 930 960 961 992 1000 1110 1116 1125 1147 1184 1186 1200 1240 1332 1369 1395 1440 1480 1488 1500 1550 1600 1665 1776 1779 1800 1850 1860 1922 1984 2000 2220 2232 2250 2294 2325 2368 2372 2400 2480 2664 2738 2775 2790 2880 2883 2960 2965 2976 3000 3100 3330 3441 3552 3558 3600 3700 3720 3844 3875 4000 4107 4440 4464 4500 4588 4625 4650 4744 4800 4805 4960 5328 5337 5476 5550 5580 5735 5766 5920 5930 5952 6000 6200 6660 6845 6882 6975 7104 7116 7200 7400 7440 7688 7750 8000 8214 8325 8649 8880 8895 8928 9000 9176 9250 9300 9488 9610 9920 10323 10656 10674 10952 11100 11160 11470 11532 11625 11840 11860 12000 12321 12400 13320 13690 13764 13875 13950 14232 14400 14415 14800 14825 14880 15376 15500 16428 16650 17205 17298 17760 17790 17856 18000 18352 18383 18500 18600 18976 19220 20535 20646 21312 21348 21904 21941 22200 22320 22940 23064 23250 23720 24000 24025 24642 24800 26640 26685 27380 27528 27750 27900 28464 28675 28830 29600 29650 29760 29791 30752 31000 32856 33300 34225 34410 34596 34875 35520 35557 35580 36000 36704 36766 37000 37200 37952 38440 41070 41292 41625 42439 42696 43245 43808 43882 44400 44475 44640 45880 46128 46500 47440 48050 49284 49600 50653 51615 53280 53370 54760 55056 55149 55500 55800 56928 57350 57660 59200 59300 59582 61504 61605 62000 65712 65823 66600 68450 68820 69192 69750 71114 71160 72000 72075 73408 73532 74000 74125 74400 76880 82140 82584 83250 84878 85392 86025 86490 87616 87764 88800 88950 89280 89373 91760 91915 92256 93000 94880 96100 98568 101306 102675 103230 106560 106671 106740 109520 109705 110112 110298 111000 111600 113856 114700 115320 118600 119164 120125 123210 124000 127317 131424 131646 133200 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3120624548000 3137492788800 3352154756400 3395257926750 3463893248280 3482616995568 3504782376000 3510702616500 3579356356556 3608222133625 3621608455200 3627726037050 3724616396000 3744749457600 3869574439520 3921865986000 4156671897936 4190193445500 4329866560350 4345930146240 4353271244460 4469539675200 4474195445695 4527010569000 4618524331040 4643489327424 4680936822000 4706239183200 4836968049400 5195839872420 5229154648000 5369034534834 5432412682800 5441589055575 5542229197248 5586924594000 5617124186400 5773155413800 5804361659280 5882798979000 6036014092000 6046210061750 6241249096000 6494799840525 6704309512800 6790515853500 6927786496560 6965233991136 7021405233000 7158712713112 7216444267250 7243216910400 7255452074100 7449232792000 7739148879040 7843731972000 8053551802251 8313343795872 8380386891000 8659733120700 8706542488920 8948390891390 9054021138000 9069315092625 9237048662080 9361873644000 9412478366400 9673936098800 10391679744840 10738069069668 10824666400875 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47062391832000 48369680494000 51958398724200 53690345348340 54324126828000 54415890555750 56171241864000 57269701704896 57731554138000 58043616592800 64428414418008 64947998405250 67043095128000 67112931685425 69277864965600 69652339911360 71587127131120 72554520741000 80535518022510 83133437958720 85904552557344 86597331207000 87065424889200 89483908913900 96739360988000 103916797448400 107380690696680 108648253656000 108831781111500 111854886142375 115463108276000 116087233185600 128856828836016 129895996810500 134225863370850 138555729931200 143174254262240 145109041482000 161071036045020 171809105114688 173194662414000 174130849778400 178967817827800 193478721976000 201338795056275 207833594896800 214761381393360 217663562223000 223709772284750 230926216552000 257713657672032 259791993621000 268451726741700 286348508524480 290218082964000 322142072090040 335564658427125 346389324828000 348261699556800 357935635655600 402677590112550 415667189793600 429522762786720 435327124446000 447419544569500 515427315344064 519583987242000 536903453483400 580436165928000 644284144180080 671129316854250 692778649656000 715871271311200 805355180225100 859045525573440 870654248892000 894839089139000 1006693975281375 1039167974484000 1073806906966800 1288568288360160 1342258633708500 1431742542622400 1610710360450200 1741308497784000 1789678178278000 2013387950562750 2078335948968000 2147613813933600 2577136576720320 2684517267417000 3221420720900400 3579356356556000 4026775901125500 4295227627867200 5369034534834000 6442841441800800 7158712713112000 8053551802251000 10738069069668000 12885682883601600 16107103604502000 21476138139336000 32214207209004000 64428414418008000
- Sum of all divisors σ(n): 245181292829890560
- Sum of proper divisors (its aliquot sum) s(n): 180752878411882560
- 64428414418008000 is an abundant number, because the sum of its proper divisors (180752878411882560) is greater than itself. Its abundance is 116324463993874560
Bases of 64428414418008000
- Binary: 111001001110010101001101001100101101001110110111110000002
- Hexadecimal: 0xE4E54D32D3B7C0
- Base-36: HMDYSZ848G0
Squares and roots of 64428414418008000
- 64428414418008000 squared (644284144180080002) is 4151020584418581133354688064000000
- 64428414418008000 cubed (644284144180080003) is 267443674470602107004007313819576944256512000000000
-
The
square root of 64428414418008000 is 253827528.8813410011 -
The
cube root of 64428414418008000 is 400890.5458861889
Scales and comparisons
How big is 64428414418008000?- 64,428,414,418,008,000 seconds is equal to 2,048,624,288 years, 16 weeks, 5 days, 4 hours.
-
To count from 1 to 64,428,414,418,008,000 would take you about six billion, one hundred forty-five million, eight hundred seventy-two thousand, eight hundred sixty-four 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 64428414418008000 cubic inches would be around 33407.5 feet tall.
Recreational maths with 64428414418008000
- 64428414418008000 backwards is 00080081441482446
- The number of decimal digits it has is: 17
- The sum of 64428414418008000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 64428414418008000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 64428414418008000 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/64428414418008000/
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The information we have on file for 64428414418008000 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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