13381321584066800
13,381,321,584,066,800 is an even composite number composed of seven prime numbers multiplied together.
13381321584066800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred thirty divisors.
Prime factorization of 13381321584066800:
24 × 52 × 72 × 132 × 23 × 292 × 4572
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 13 × 13 × 23 × 29 × 29 × 457 × 457)See below for interesting mathematical facts about the number 13381321584066800 from the Numbermatics database.
Names of 13381321584066800
- Cardinal: 13381321584066800 can be written as Thirteen quadrillion, three hundred eighty-one trillion, three hundred twenty-one billion, five hundred eighty-four million, sixty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.33813215840668 × 1016
Factors of 13381321584066800
Divisors of 13381321584066800
- Number of divisors d(n): 2430
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 23 25 26 28 29 35 40 46 49 50 52 56 58 65 70 80 91 92 98 100 104 112 115 116 130 140 145 161 169 175 182 184 196 200 203 208 230 232 245 260 280 290 299 322 325 338 350 364 368 377 392 400 406 455 457 460 464 490 520 560 575 580 598 637 644 650 667 676 700 725 728 754 784 805 812 841 845 910 914 920 980 1015 1040 1127 1150 1160 1183 1196 1225 1274 1288 1300 1334 1352 1400 1421 1450 1456 1495 1508 1610 1624 1682 1690 1820 1828 1840 1885 1960 2030 2093 2254 2275 2285 2300 2320 2366 2392 2450 2548 2576 2600 2639 2668 2704 2800 2842 2900 2990 3016 3185 3199 3220 3248 3335 3364 3380 3640 3656 3770 3887 3920 4025 4060 4186 4205 4225 4508 4550 4570 4600 4669 4732 4784 4900 4901 5075 5096 5200 5278 5336 5635 5684 5800 5887 5915 5941 5980 6032 6370 6398 6440 6670 6728 6760 7105 7280 7312 7475 7540 7774 8050 8120 8281 8372 8410 8450 8671 9016 9100 9140 9200 9338 9425 9464 9800 9802 10150 10192 10465 10511 10556 10672 10933 11270 11368 11425 11600 11774 11830 11882 11960 12740 12796 12880 13195 13253 13340 13456 13520 14210 14651 14950 15080 15548 15925 15995 16100 16240 16562 16675 16744 16820 16900 17342 18032 18200 18280 18473 18676 18850 18928 19343 19435 19600 19604 20300 20930 21022 21025 21112 21866 22393 22540 22736 22850 23345 23548 23660 23764 23920 24505 25480 25592 26390 26506 26680 27209 28175 28420 29302 29435 29575 29705 29900 30160 31096 31850 31990 32200 32683 33124 33350 33488 33640 33800 34307 34684 35525 36400 36560 36946 37352 37700 38686 38870 39208 40600 41209 41405 41587 41860 42044 42050 42224 43355 43732 44786 45080 45700 46690 47096 47320 47528 49010 50960 51184 52325 52555 52780 53012 53360 54418 54665 56350 56840 58604 58870 59150 59410 59800 60697 62192 63700 63980 64400 65366 65975 66248 66265 66700 67280 67600 68614 69368 71050 73255 73577 73892 74704 75400 76531 77233 77372 77740 78416 79975 81200 82418 82810 83174 83720 84088 84100 86710 87464 89572 90160 91400 92365 92771 93380 94192 94640 95056 96715 97175 98020 104650 105110 105560 106024 108836 109330 111965 112700 112723 113680 116725 117208 117740 118300 118820 119600 121394 122525 127400 127960 130732 131950 132496 132530 133400 135401 136045 136643 137228 138736 142100 142129 146510 147154 147175 147784 148525 150800 153062 154466 154744 155480 159950 163415 164836 165620 166348 167440 168176 168200 171535 172289 173420 174928 179144 182800 184730 185542 186760 190463 193430 194350 196040 206045 207025 207935 208849 209300 210220 211120 212048 216775 217672 218660 223930 225400 225446 233450 234416 235480 236600 237640 240149 242788 245050 251459 254800 255920 261464 262775 263900 265060 266800 270802 272090 273286 273325 274456 284200 284258 291109 293020 294308 294350 295568 297050 303485 304819 306124 308932 309488 310960 319900 326830 329672 331240 331325 332696 336400 343070 344578 346840 358288 366275 367885 369460 371084 373520 380926 382655 384337 386165 386860 388700 392080 412090 414050 415870 417698 418600 420440 424879 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1050339213820 1118839597330 1126184277400 1131134537960 1136514488200 1153562205523 1171231648496 1177104291350 1187339980840 1223938679600 1253871962525 1267650775300 1273077878800 1278673825520 1312924017275 1318356806312 1365162373400 1365440977966 1413918172450 1419768868336 1432996528600 1454491476529 1464039560620 1470474899348 1484174976050 1543227030800 1583588353144 1591120283480 1598342281900 1615906482800 1647946007890 1662275973176 1721291688200 1774711085420 1790143355728 1830049450775 1838093624185 1883366866160 1979485441430 1988900354350 2006195140040 2077844966470 2091485086600 2100678427640 2218388856775 2237679194660 2252368554800 2262269075920 2273028976400 2307124411046 2354208582700 2374679961680 2507743925050 2535301550600 2573331073859 2625848034550 2636713612624 2730324746800 2730881955932 2797098993325 2827836344900 2865993057200 2908982953058 2928079121240 2940949798696 2968349952100 3167176706288 3182240566960 3196684563800 3295892015780 3324551946352 3413602444915 3442583376400 3549422170840 3660098901550 3676187248370 3958970882860 3977800708700 4012390280080 4119865019725 4155689932940 4182970173200 4201356855280 4436777713550 4475358389320 4614248822092 4708417165400 4779043422881 4948713603575 5015487850100 5070603101200 5146662147718 5194612416175 5251696069100 5461763911864 5594197986650 5655672689800 5767811027615 5817965906116 5856158242480 5881899597392 5936699904200 6393369127600 6591784031560 6827204889830 7098844341680 7272457382645 7320197803100 7352374496740 7917941765720 7955601417400 8239730039450 8311379865880 8873555427100 8950716778640 9190468120925 9228497644184 9416834330800 9558086845762 9897427207150 10030975700200 10293324295436 10389224832350 10503392138200 10923527823728 11188395973300 11311345379600 11535622055230 11635931812232 11873399808400 12866655369295 13183568063120 13654409779660 14544914765290 14640395606200 14704748993480 15835883531440 15911202834800 16479460078900 16622759731760 17068012224575 17747110854200 18380936241850 18456995288368 19116173691524 19794854414300 20061951400400 20586648590872 20778449664700 21006784276400 22376791946600 23071244110460 23271863624464 23895217114405 25733310738590 27308819559320 28839055138075 29089829530580 29280791212400 29409497986960 32958920157800 33453303960167 34136024449150 35494221708400 36362286913225 36761872483700 38232347383048 39589708828600 41173297181744 41556899329400 44753583893200 46142488220920 47790434228810 51466621477180 54617639118640 57678110276150 58179659061160 64333276846475 65917840315600 66906607920334 68272048898300 72724573826450 73523744967400 76464694766096 79179417657200 83113798658800 92284976441840 95580868457620 102933242954360 115356220552300 116359318122320 119476085572025 128666553692950 133813215840668 136544097796600 145449147652900 147047489934800 167266519800835 191161736915240 205866485908720 230712441104600 238952171144050 257333107385900 267626431681336 273088195593200 290898295305800 334533039601670 382323473830480 461424882209200 477904342288100 514666214771800 535252863362672 581796590611600 669066079203340 836332599004175 955808684576200 1029332429543600 1338132158406680 1672665198008350 1911617369152400 2676264316813360 3345330396016700 6690660792033400 13381321584066800
- Sum of all divisors σ(n): 43859379457195848
- Sum of proper divisors (its aliquot sum) s(n): 30478057873129048
- 13381321584066800 is an abundant number, because the sum of its proper divisors (30478057873129048) is greater than itself. Its abundance is 17096736289062248
Bases of 13381321584066800
- Binary: 1011111000101000111101101101111010010011000000111100002
- Hexadecimal: 0x2F8A3DB7A4C0F0
- Base-36: 3NRA69RO2CW
Squares and roots of 13381321584066800
- 13381321584066800 squared (133813215840668002) is 179059767336212013619626862240000
- 13381321584066800 cubed (133813215840668003) is 2396056329494033195106473860228097662557632000000
-
The
square root of 13381321584066800 is 115677662.4248035193 -
The
cube root of 13381321584066800 is 237410.3614983925
Scales and comparisons
How big is 13381321584066800?- 13,381,321,584,066,800 seconds is equal to 425,484,635 years, 11 weeks, 5 days, 23 hours, 53 minutes, 20 seconds.
-
To count from 1 to 13,381,321,584,066,800 would take you about one billion, two hundred seventy-six million, four hundred fifty-three thousand, nine hundred five 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 13381321584066800 cubic inches would be around 19784.2 feet tall.
Recreational maths with 13381321584066800
- 13381321584066800 backwards is 00866048512318331
- The number of decimal digits it has is: 17
- The sum of 13381321584066800's digits is 59
- More coming soon!
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"Number 13381321584066800 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 13381321584066800 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/13381321584066800/
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The information we have on file for 13381321584066800 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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