13002228815788800
13,002,228,815,788,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 13002228815788800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1620 divisors.
13002228815788800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 13002228815788800:
28 × 34 × 52 × 7 × 5572 × 11549
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 557 × 557 × 11549)See below for interesting mathematical facts about the number 13002228815788800 from the Numbermatics database.
Names of 13002228815788800
- Cardinal: 13002228815788800 can be written as Thirteen quadrillion, two trillion, two hundred twenty-eight billion, eight hundred fifteen million, seven hundred eighty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.30022288157888 × 1016
Factors of 13002228815788800
Divisors of 13002228815788800
- Number of divisors d(n): 1620
-
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 96 100 105 108 112 120 126 128 135 140 144 150 160 162 168 175 180 189 192 200 210 216 224 225 240 252 256 270 280 288 300 315 320 324 336 350 360 378 384 400 405 420 432 448 450 480 504 525 540 557 560 567 576 600 630 640 648 672 675 700 720 756 768 800 810 840 864 896 900 945 960 1008 1050 1080 1114 1120 1134 1152 1200 1260 1280 1296 1344 1350 1400 1440 1512 1575 1600 1620 1671 1680 1728 1792 1800 1890 1920 2016 2025 2100 2160 2228 2240 2268 2304 2400 2520 2592 2688 2700 2785 2800 2835 2880 3024 3150 3200 3240 3342 3360 3456 3600 3780 3840 3899 4032 4050 4200 4320 4456 4480 4536 4725 4800 5013 5040 5184 5376 5400 5570 5600 5670 5760 6048 6300 6400 6480 6684 6720 6912 7200 7560 7798 8064 8100 8355 8400 8640 8912 8960 9072 9450 9600 10026 10080 10368 10800 11140 11200 11340 11520 11549 11697 12096 12600 12960 13368 13440 13925 14175 14400 15039 15120 15596 16128 16200 16710 16800 17280 17824 18144 18900 19200 19495 20052 20160 20736 21600 22280 22400 22680 23098 23394 24192 25065 25200 25920 26736 26880 27850 28350 28800 30078 30240 31192 32400 33420 33600 34560 34647 35091 35648 36288 37800 38990 40104 40320 41775 43200 44560 44800 45117 45360 46196 46788 48384 50130 50400 51840 53472 55700 56700 57600 57745 58485 60156 60480 62384 64800 66840 67200 69294 70182 71296 72576 75195 75600 77980 80208 80640 80843 83550 86400 89120 90234 90720 92392 93576 97475 100260 100800 103680 103941 105273 106944 111400 113400 115490 116970 120312 120960 124768 125325 129600 133680 134400 138588 140364 142592 145152 150390 151200 155960 160416 161686 167100 172800 173235 175455 178240 180468 181440 184784 187152 194950 200520 201600 207882 210546 213888 222800 225585 226800 230980 233940 240624 241920 242529 249536 250650 259200 267360 277176 280728 288725 292425 300780 302400 310249 311823 311920 315819 320832 323372 334200 346470 350910 356480 360936 362880 369568 374304 375975 389900 401040 403200 404215 415764 421092 427776 445600 451170 453600 461960 467880 481248 485058 499072 501300 518400 519705 526365 534720 554352 561456 577450 584850 601560 604800 620498 623646 623840 631638 641664 646744 668400 692940 701820 712960 721872 725760 727587 739136 748608 751950 779800 802080 808430 831528 842184 866175 877275 891200 902340 907200 923920 930747 935469 935760 962496 970116 998144 1002600 1039410 1052730 1069440 1108704 1122912 1127925 1154900 1169700 1203120 1209600 1212645 1240996 1247292 1247680 1263276 1283328 1293488 1336800 1385880 1403640 1443744 1455174 1478272 1497216 1503900 1551245 1559115 1559600 1579095 1604160 1616860 1663056 1684368 1732350 1754550 1782400 1804680 1814400 1847840 1861494 1870938 1871520 1924992 1940232 2005200 2021075 2078820 2105460 2138880 2171743 2182761 2217408 2245824 2255850 2309800 2339400 2406240 2425290 2481992 2494584 2495360 2526552 2586976 2598525 2631825 2673600 2771760 2792241 2807280 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3334759891200 3385997087445 3439743072960 3611730226608 3762218986050 3869710957080 3890553206400 4013033585120 4063196504934 4127691687552 4299678841200 4514662783260 4586324097280 4643653148496 4668663847680 4815640302144 4837138696350 5016291981400 5159614609440 5417595339912 5643328479075 5732905121600 5804566435620 5835829809600 6019550377680 6191537531328 6420853736192 6449518261800 6771994174890 6879486145920 7223460453216 7255708044525 7524437972100 7739421914160 7781106412800 8026067170240 8126393009868 8255383375104 8599357682400 9029325566520 9287306296992 9631280604288 9674277392700 10032583962800 10157991262335 10319229218880 10835190679824 11286656958150 11465810243200 11609132871240 11671659619200 12039100755360 12383075062656 12899036523600 13543988349780 13758972291840 14446920906432 14511416089050 15048875944200 15478843828320 16052134340480 16252786019736 16929985437225 17198715364800 18058651133040 18574612593984 19262561208576 19348554785400 20065167925600 20315982524670 20638458437760 21670381359648 22573313916300 22931620486400 23218265742480 23343319238400 24078201510720 24766150125312 25798073047200 27087976699560 28893841812864 29022832178100 30097751888400 30957687656640 32104268680960 32505572039472 33859970874450 34397430729600 36117302266080 37149225187968 38697109570800 40130335851200 40631965049340 41276916875520 43340762719296 45146627832600 46436531484960 48156403021440 50789956311675 51596146094400 54175953399120 57787683625728 58045664356200 60195503776800 61915375313280 65011144078944 67719941748900 68794861459200 72234604532160 74298450375936 77394219141600 80260671702400 81263930098680 86681525438592 90293255665200 92873062969920 96312806042880 101579912623350 103192292188800 108351906798240 116091328712400 120391007553600 123830750626560 130022288157888 135439883497800 144469209064320 154788438283200 160521343404800 162527860197360 173363050877184 180586511330400 185746125939840 203159825246700 206384584377600 216703813596480 232182657424800 240782015107200 260044576315776 270879766995600 288938418128640 309576876566400 325055720394720 361173022660800 371492251879680 406319650493400 433407627192960 464365314849600 481564030214400 520089152631552 541759533991200 619153753132800 650111440789440 722346045321600 812639300986800 866815254385920 928730629699200 1083519067982400 1300222881578880 1444692090643200 1625278601973600 1857461259398400 2167038135964800 2600445763157760 3250557203947200 4334076271929600 6501114407894400 13002228815788800
- Sum of all divisors σ(n): 55046628818134800
- Sum of proper divisors (its aliquot sum) s(n): 42044400002346000
- 13002228815788800 is an abundant number, because the sum of its proper divisors (42044400002346000) is greater than itself. Its abundance is 29042171186557200
Bases of 13002228815788800
- Binary: 1011100011000101110101010011011101101001111011000000002
- Hexadecimal: 0x2E31754DDA7B00
- Base-36: 3K0WLGHBK00
Squares and roots of 13002228815788800
- 13002228815788800 squared (130022288157888002) is 169057954178128620404166205440000
- 13002228815788800 cubed (130022288157888003) is 2198130203353166505250954638195984056451072000000
-
The
square root of 13002228815788800 is 114027316.0948235247 -
The
cube root of 13002228815788800 is 235146.9056756765
Scales and comparisons
How big is 13002228815788800?- 13,002,228,815,788,800 seconds is equal to 413,430,657 years, 42 weeks.
-
To count from 1 to 13,002,228,815,788,800 would take you about one billion, two hundred forty million, two hundred ninety-one thousand, nine hundred seventy-three 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 13002228815788800 cubic inches would be around 19595.6 feet tall.
Recreational maths with 13002228815788800
- 13002228815788800 backwards is 00888751882220031
- 13002228815788800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13002228815788800's digits is 63
- More coming soon!
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"Number 13002228815788800 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
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Numbermatics. (2024). Number 13002228815788800 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/13002228815788800/
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The information we have on file for 13002228815788800 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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