213013604044800
213,013,604,044,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 213013604044800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2808 divisors.
213013604044800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eight divisors.
Prime factorization of 213013604044800:
212 × 38 × 52 × 13 × 293
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 29 × 29 × 29)See below for interesting mathematical facts about the number 213013604044800 from the Numbermatics database.
Names of 213013604044800
- Cardinal: 213013604044800 can be written as Two hundred thirteen trillion, thirteen billion, six hundred four million, forty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 2.130136040448 × 1014
Factors of 213013604044800
Divisors of 213013604044800
- Number of divisors d(n): 2808
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 29 30 32 36 39 40 45 48 50 52 54 58 60 64 65 72 75 78 80 81 87 90 96 100 104 108 116 117 120 128 130 135 144 145 150 156 160 162 174 180 192 195 200 208 216 225 232 234 240 243 256 260 261 270 288 290 300 312 320 324 325 348 351 360 377 384 390 400 405 416 432 435 450 464 468 480 486 512 520 522 540 576 580 585 600 624 640 648 650 675 696 702 720 725 729 754 768 780 783 800 810 832 841 864 870 900 928 936 960 972 975 1024 1040 1044 1053 1080 1131 1152 1160 1170 1200 1215 1248 1280 1296 1300 1305 1350 1392 1404 1440 1450 1458 1508 1536 1560 1566 1600 1620 1664 1682 1728 1740 1755 1800 1856 1872 1885 1920 1944 1950 2025 2048 2080 2088 2106 2160 2175 2187 2262 2304 2320 2340 2349 2400 2430 2496 2523 2560 2592 2600 2610 2700 2784 2808 2880 2900 2916 2925 3016 3072 3120 3132 3159 3200 3240 3328 3364 3393 3456 3480 3510 3600 3645 3712 3744 3770 3840 3888 3900 3915 4050 4096 4160 4176 4205 4212 4320 4350 4374 4524 4608 4640 4680 4698 4800 4860 4992 5046 5120 5184 5200 5220 5265 5400 5568 5616 5655 5760 5800 5832 5850 6032 6075 6144 6240 6264 6318 6400 6480 6525 6561 6656 6728 6786 6912 6960 7020 7047 7200 7290 7424 7488 7540 7569 7680 7776 7800 7830 8100 8320 8352 8410 8424 8640 8700 8748 8775 9048 9216 9280 9360 9396 9425 9477 9600 9720 9984 10092 10179 10240 10368 10400 10440 10530 10800 10933 10935 11136 11232 11310 11520 11600 11664 11700 11745 12064 12150 12288 12480 12528 12615 12636 12800 12960 13050 13122 13312 13456 13572 13824 13920 14040 14094 14400 14580 14848 14976 15080 15138 15360 15552 15600 15660 15795 16200 16640 16704 16820 16848 16965 17280 17400 17496 17550 18096 18225 18432 18560 18720 18792 18850 18954 19200 19440 19575 19968 20184 20358 20480 20736 20800 20880 21025 21060 21141 21600 21866 21870 22272 22464 22620 22707 23040 23200 23328 23400 23490 24128 24300 24389 24960 25056 25230 25272 25600 25920 26100 26244 26325 26624 26912 27144 27648 27840 28080 28188 28275 28431 28800 29160 29696 29952 30160 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13654718208 13696862400 13868073180 14071449600 14125570560 14223664800 14346282600 14609986560 14792611392 15113779200 15171909120 15302701440 15408970200 15695078400 15830380800 16001622900 16233318400 16322881536 16436234880 16641687816 16857676800 16885739520 17003001600 17068397760 17335091475 17531983872 17656963200 18136535040 18206290944 18262483200 18363241728 18490764240 18834094080 18964886400 19128376800 19479982080 19483545600 19723481856 20229212160 20403601920 20482077312 20545293600 20802109770 20926771200 21107174400 21335497200 21914979840 22188917088 22476902400 22600912896 22670668800 22757863680 22954052160 23113455300 23542617600 24275054592 24349977600 24484322304 24654352320 25286515200 25328609280 25504502400 25602596640 26297975808 27204802560 27309436416 27393724800 27736146360 28142899200 28251141120 28447329600 28692565200 29219973120 29585222784 30227558400 30343818240 30605402880 30817940400 31390156800 31660761600 32003245800 32466636800 32645763072 32872469760 33283375632 33715353600 34006003200 34136795520 34670182950 35063967744 35313926400 36412581888 36524966400 36726483456 36981528480 37668188160 37929772800 38256753600 39446963712 40458424320 40807203840 40964154624 41090587200 41604219540 42214348800 42670994400 43829959680 44377834176 45341337600 45515727360 45908104320 46226910600 47085235200 48699955200 48968644608 49308704640 50573030400 50657218560 51009004800 51205193280 52005274425 52595951616 54409605120 54618872832 54787449600 55472292720 56502282240 56894659200 57385130400 58439946240 59170445568 60687636480 61210805760 61635880800 62780313600 63321523200 64006491600 65744939520 66566751264 67430707200 68012006400 68273591040 69340365900 70627852800 72825163776 73049932800 73452966912 73963056960 75859545600 76513507200 78893927424 81614407680 81928309248 82181174400 83208439080 84428697600 85341988800 87659919360 88755668352 90682675200 91031454720 91816208640 92453821200 94170470400 97399910400 97937289216 98617409280 101146060800 102018009600 102410386560 104010548850 105191903232 109237745664 109574899200 110944585440 113004564480 113789318400 114770260800 118340891136 121375272960 122421611520 123271761600 126643046400 128012983200 131489879040 133133502528 136024012800 136547182080 138680731800 141255705600 146099865600 146905933824 147926113920 151719091200 153027014400 157787854848 163228815360 163856618496 164362348800 166416878160 170683977600 175319838720 177511336704 182062909440 183632417280 184907642400 188340940800 197234818560 202292121600 204036019200 204820773120 208021097700 218475491328 219149798400 221889170880 227578636800 229540521600 236681782272 244843223040 246543523200 253286092800 256025966400 262979758080 266267005056 272048025600 273094364160 277361463600 282511411200 292199731200 293811867648 295852227840 303438182400 306054028800 315575709696 327713236992 328724697600 332833756320 341367955200 355022673408 364125818880 367264834560 369815284800 394469637120 408072038400 409641546240 416042195400 438299596800 443778341760 455157273600 459081043200 473363564544 489686446080 493087046400 512051932800 525959516160 532534010112 546188728320 554722927200 565022822400 591704455680 606876364800 612108057600 655426473984 657449395200 665667512640 682735910400 710045346816 734529669120 739630569600 788939274240 816144076800 819283092480 832084390800 876599193600 887556683520 910314547200 918162086400 946727129088 986174092800 1024103865600 1065068020224 1092377456640 1109445854400 1183408911360 1224216115200 1314898790400 1331335025280 1365471820800 1420090693632 1469059338240 1479261139200 1577878548480 1638566184960 1664168781600 1775113367040 1820629094400 1836324172800 1972348185600 2048207731200 2130136040448 2218891708800 2366817822720 2448432230400 2629797580800 2662670050560 2730943641600 2840181387264 2958522278400 3277132369920 3328337563200 3550226734080 3672648345600 3944696371200 4096415462400 4260272080896 4437783417600 4733635645440 5325340101120 5461887283200 5917044556800 6656675126400 7100453468160 7345296691200 7889392742400 8192830924800 8520544161792 8875566835200 10650680202240 11834089113600 13313350252800 14200906936320 16385661849600 17751133670400 21301360404480 23668178227200 26626700505600 35502267340800 42602720808960 53253401011200 71004534681600 106506802022400 213013604044800
- Sum of all divisors σ(n): 883688561432040
- Sum of proper divisors (its aliquot sum) s(n): 670674957387240
- 213013604044800 is an abundant number, because the sum of its proper divisors (670674957387240) is greater than itself. Its abundance is 457661353342440
Bases of 213013604044800
- Binary: 1100000110111100000110000011001110010000000000002
- Hexadecimal: 0xC1BC18339000
- Base-36: 23I93K0000
Squares and roots of 213013604044800
- 213013604044800 squared (2130136040448002) is 45374795508154834920407040000
- 213013604044800 cubed (2130136040448003) is 9665448723987863615186293341806395392000000
-
The
square root of 213013604044800 is 14594985.5787801311 -
The
cube root of 213013604044800 is 59722.1976049299
Scales and comparisons
How big is 213013604044800?- 213,013,604,044,800 seconds is equal to 6,773,173 years, 37 weeks, 1 day.
-
To count from 1 to 213,013,604,044,800 would take you about sixteen million, nine hundred thirty-two thousand, nine hundred thirty-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 213013604044800 cubic inches would be around 4976.8 feet tall.
Recreational maths with 213013604044800
- 213013604044800 backwards is 008440406310312
- 213013604044800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 213013604044800's digits is 36
- More coming soon!
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"Number 213013604044800 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
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Numbermatics. (2024). Number 213013604044800 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/213013604044800/
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The information we have on file for 213013604044800 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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