13284980965468800
13,284,980,965,468,800 is an even composite number composed of six prime numbers multiplied together.
13284980965468800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 13284980965468800:
27 × 35 × 52 × 7 × 1272 × 3892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 127 × 127 × 389 × 389)See below for interesting mathematical facts about the number 13284980965468800 from the Numbermatics database.
Names of 13284980965468800
- Cardinal: 13284980965468800 can be written as Thirteen quadrillion, two hundred eighty-four trillion, nine hundred eighty billion, nine hundred sixty-five million, four hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.32849809654688 × 1016
Factors of 13284980965468800
Divisors of 13284980965468800
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 81 84 90 96 100 105 108 112 120 126 127 128 135 140 144 150 160 162 168 175 180 189 192 200 210 216 224 225 240 243 252 254 270 280 288 300 315 320 324 336 350 360 378 381 384 389 400 405 420 432 448 450 480 486 504 508 525 540 560 567 576 600 630 635 640 648 672 675 700 720 756 762 778 800 810 840 864 889 896 900 945 960 972 1008 1016 1050 1080 1120 1134 1143 1152 1167 1200 1215 1260 1270 1296 1344 1350 1400 1440 1512 1524 1556 1575 1600 1620 1680 1701 1728 1778 1800 1890 1905 1920 1944 1945 2016 2025 2032 2100 2160 2240 2268 2286 2334 2400 2430 2520 2540 2592 2667 2688 2700 2723 2800 2835 2880 3024 3048 3112 3150 3175 3200 3240 3360 3402 3429 3456 3501 3556 3600 3780 3810 3888 3890 4032 4050 4064 4200 4320 4445 4480 4536 4572 4668 4725 4800 4860 5040 5080 5184 5334 5400 5446 5600 5670 5715 5760 5835 6048 6075 6096 6224 6300 6350 6480 6720 6804 6858 7002 7112 7200 7560 7620 7776 7780 8001 8064 8100 8128 8169 8400 8505 8640 8890 9072 9144 9336 9450 9525 9600 9720 9725 10080 10160 10287 10368 10503 10668 10800 10892 11200 11340 11430 11670 12096 12150 12192 12448 12600 12700 12960 13335 13440 13608 13615 13716 14004 14175 14224 14400 15120 15240 15552 15560 16002 16129 16200 16256 16338 16800 17010 17145 17280 17505 17780 18144 18288 18672 18900 19050 19440 19450 20160 20320 20574 21006 21336 21600 21784 22225 22400 22680 22860 23340 24003 24192 24300 24384 24507 24896 25200 25400 25920 26670 27216 27230 27432 28008 28350 28448 28575 28800 29175 30240 30480 30861 31104 31120 31509 32004 32258 32400 32676 33600 34020 34290 35010 35560 36288 36576 37344 37800 38100 38880 38900 40005 40320 40640 40845 41148 42012 42525 42672 43200 43568 44450 45360 45720 46680 48006 48387 48600 48768 49014 49403 49792 50400 50800 51435 51840 52515 53340 54432 54460 54864 56016 56700 56896 57150 58350 60480 60960 61722 62240 63018 64008 64516 64800 65352 66675 67200 68040 68075 68580 70020 71120 72009 72576 73152 73521 74688 75600 76200 77760 77800 80010 80645 81280 81690 82296 84024 85050 85344 85725 86400 87136 87525 88900 90720 91440 93360 94527 96012 96774 97200 98028 98806 100800 101600 102870 105030 106680 108864 108920 109728 112032 112903 113400 113792 114300 116700 120015 120960 121920 122535 123444 124480 126036 128016 129032 129600 130704 133350 136080 136150 137160 140040 142240 144018 145161 146304 147042 148209 149376 151200 151321 152400 154305 155520 155600 157545 160020 161290 163380 164592 168048 170100 170688 171450 174272 175050 177800 181440 182880 186720 189054 192024 193548 194400 196056 197612 200025 201600 203200 204225 205740 210060 213360 216027 217728 217840 219456 220563 224064 225806 226800 228600 233400 240030 241935 243840 245070 246888 247015 248960 252072 256032 257175 258064 259200 261408 262575 266700 272160 272300 274320 280080 284480 288036 290322 294084 296418 302400 302642 304800 308610 311200 315090 320040 322580 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455354960256 461284061301 464916219264 466991738100 468606030528 474328083600 484287728400 487880314560 488131281800 498124520640 512537845890 523030746672 527181784344 533619094050 542089238400 544823694450 546707035616 549147692025 553471689600 569193700320 581145274080 585757538160 593079507387 597749424768 609850393200 615045415068 622655650800 632437444800 645716971200 653788433340 658977230430 683032440384 683383794520 697374328896 702909045792 711492125400 726431592600 732196922700 747186780960 758924933760 768806768835 774860365440 781010050880 790772676516 813133857600 817235541675 820060553424 823670467200 830207534400 853790550480 854229743150 871717911120 878636307240 922568122602 933983476200 937212061056 948656167200 968575456800 975760629120 976262563600 988465845645 996249041280 1025075691780 1046061493344 1054363568688 1067238188100 1089647388900 1093414071232 1098295384050 1138387400640 1162290548160 1171515076320 1186159014774 1219700786400 1230090830136 1245311301600 1264874889600 1281344614725 1291433942400 1307576866680 1317954460860 1366064880768 1366767589040 1383852183903 1394748657792 1405818091584 1422984250800 1452863185200 1464393845400 1494373561920 1537613537670 1562020101760 1581545353032 1626267715200 1634471083350 1640121106848 1647443076075 1660415068800 1707581100960 1708459486300 1743435822240 1757272614480 1845136245204 1867966952400 1897312334400 1937150913600 1952525127200 1976931691290 2050151383560 2092122986688 2108727137376 2134476376200 2179294777800 2186828142464 2196590768100 2276774801280 2306420306505 2324581096320 2343030152640 2372318029548 2439401572800 2460181660272 2490622603200 2562689229450 2615153733360 2635908921720 2733535178080 2767704367806 2811636183168 2845968501600 2905726370400 2928787690800 2965397536935 2988747123840 3075227075340 3163090706064 3268942166700 3280242213696 3294886152150 3415162201920 3416918972600 3486871644480 3514545228960 3690272490408 3735933904800 3794624668800 3844033844175 3874301827200 3905050254400 3953863382580 4100302767120 4151556551709 4184245973376 4217454274752 4268952752400 4358589555600 4393181536200 4612840613010 4686060305280 4744636059096 4878803145600 4920363320544 4942329228225 4981245206400 5125378458900 5230307466720 5271817843440 5467070356160 5535408735612 5691937003200 5811452740800 5857575381600 5930795073870 6150454150680 6326181412128 6537884333400 6560484427392 6589772304300 6830324403840 6833837945200 6919260919515 6973743288960 7029090457920 7380544980816 7471867809600 7688067688350 7810100508800 7907726765160 8200605534240 8303113103418 8434908549504 8537905504800 8717179111200 8786363072400 9225681226020 9489272118192 9840726641088 9884658456450 10250756917800 10460614933440 10543635686880 10934140712320 11070817471224 11383874006400 11532101532525 11622905481600 11715150763200 11861590147740 12300908301360 12652362824256 13075768666800 13179544608600 13667675890400 13838521839030 14058180915840 14761089961632 14826987684675 14943735619200 15376135376700 15815453530320 16401211068480 16606226206836 17075811009600 17434358222400 17572726144800 18451362452040 18978544236384 19681453282176 19769316912900 20501513835600 20757782758545 20921229866880 21087271373760 22141634942448 23064203065050 23430301526400 23723180295480 24601816602720 25304725648512 26151537333600 26359089217200 27335351780800 27677043678060 29522179923264 29653975369350 30752270753400 31630907060640 32802422136960 33212452413672 34151622019200 34596304597575 34868716444800 35145452289600 36902724904080 37957088472768 39538633825800 41003027671200 41515565517090 42174542747520 44283269884896 46128406130100 47446360590960 49203633205440 52303074667200 52718178434400 54670703561600 55354087356120 59044359846528 59307950738700 61504541506800 63261814121280 66424904827344 69192609195150 70290904579200 73805449808160 75914176945536 79077267651600 82006055342400 83031131034180 88566539769792 92256812260200 94892721181920 98407266410880 103788913792725 104606149334400 105436356868800 110708174712240 118615901477400 123009083013600 126523628242560 132849809654688 138385218390300 147610899616320 158154535303200 164012110684800 166062262068360 177133079539584 184513624520400 189785442363840 207577827585450 210872713737600 221416349424480 237231802954800 246018166027200 265699619309376 276770436780600 295221799232640 316309070606400 332124524136720 369027249040800 379570884727680 415155655170900 442832698848960 474463605909600 492036332054400 531399238618752 553540873561200 632618141212800 664249048273440 738054498081600 830311310341800 885665397697920 948927211819200 1107081747122400 1328498096546880 1476108996163200 1660622620683600 1897854423638400 2214163494244800 2656996193093760 3321245241367200 4428326988489600 6642490482734400 13284980965468800
- Sum of all divisors σ(n): 56774160561474720
- Sum of proper divisors (its aliquot sum) s(n): 43489179596005920
- 13284980965468800 is an abundant number, because the sum of its proper divisors (43489179596005920) is greater than itself. Its abundance is 30204198630537120
Bases of 13284980965468800
- Binary: 1011110011001010011110101010110100101101101010100000002
- Hexadecimal: 0x2F329EAB4B6A80
- Base-36: 3MT4S02SO00
Squares and roots of 13284980965468800
- 13284980965468800 squared (132849809654688002) is 176490719252868329378003773440000
- 13284980965468800 cubed (132849809654688003) is 2344675845856253626623875092660980738588672000000
-
The
square root of 13284980965468800 is 115260491.7804396669 -
The
cube root of 13284980965468800 is 236839.2327502169
Scales and comparisons
How big is 13284980965468800?- 13,284,980,965,468,800 seconds is equal to 422,421,301 years, 29 weeks.
-
To count from 1 to 13,284,980,965,468,800 would take you about one billion, two hundred sixty-seven million, two hundred sixty-three thousand, nine hundred 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 13284980965468800 cubic inches would be around 19736.6 feet tall.
Recreational maths with 13284980965468800
- 13284980965468800 backwards is 00886456908948231
- 13284980965468800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13284980965468800's digits is 81
- More coming soon!
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"Number 13284980965468800 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
APA style:
Numbermatics. (2024). Number 13284980965468800 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/13284980965468800/
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Numbermatics. 2024. "Number 13284980965468800 - Facts about the integer". https://numbermatics.com/n/13284980965468800/
The information we have on file for 13284980965468800 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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