13138107206400
13,138,107,206,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 13138107206400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1620 divisors.
13138107206400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 13138107206400:
28 × 35 × 52 × 114 × 577
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 11 × 11 × 577)See below for interesting mathematical facts about the number 13138107206400 from the Numbermatics database.
Names of 13138107206400
- Cardinal: 13138107206400 can be written as Thirteen trillion, one hundred thirty-eight billion, one hundred seven million, two hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 1.31381072064 × 1013
Factors of 13138107206400
Divisors of 13138107206400
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 81 88 90 96 99 100 108 110 120 121 128 132 135 144 150 160 162 165 176 180 192 198 200 216 220 225 240 242 243 256 264 270 275 288 297 300 320 324 330 352 360 363 384 396 400 405 432 440 450 480 484 486 495 528 540 550 576 577 594 600 605 640 648 660 675 704 720 726 768 792 800 810 825 864 880 891 900 960 968 972 990 1056 1080 1089 1100 1152 1154 1188 1200 1210 1215 1280 1296 1320 1331 1350 1408 1440 1452 1485 1584 1600 1620 1650 1728 1731 1760 1782 1800 1815 1920 1936 1944 1980 2025 2112 2160 2178 2200 2304 2308 2376 2400 2420 2430 2475 2592 2640 2662 2673 2700 2816 2880 2885 2904 2970 3025 3168 3200 3240 3267 3300 3456 3462 3520 3564 3600 3630 3840 3872 3888 3960 3993 4050 4224 4320 4356 4400 4455 4616 4752 4800 4840 4860 4950 5184 5193 5280 5324 5346 5400 5445 5760 5770 5808 5940 6050 6075 6336 6347 6400 6480 6534 6600 6655 6912 6924 7040 7128 7200 7260 7425 7744 7776 7920 7986 8100 8448 8640 8655 8712 8800 8910 9075 9232 9504 9600 9680 9720 9801 9900 10368 10386 10560 10648 10692 10800 10890 11520 11540 11616 11880 11979 12100 12150 12672 12694 12960 13068 13200 13310 13365 13848 14080 14256 14400 14425 14520 14641 14850 15488 15552 15579 15840 15972 16200 16335 17280 17310 17424 17600 17820 18150 18464 19008 19041 19200 19360 19440 19602 19800 19965 20736 20772 21120 21296 21384 21600 21780 22275 23080 23232 23760 23958 24200 24300 25344 25388 25920 25965 26136 26400 26620 26730 27225 27696 28512 28800 28850 29040 29282 29403 29700 30976 31104 31158 31680 31735 31944 32400 32670 33275 34560 34620 34848 35200 35640 35937 36300 36928 38016 38082 38720 38880 39204 39600 39930 41544 42240 42592 42768 43200 43275 43560 43923 44550 46160 46464 46737 47520 47916 48400 48600 49005 50776 51840 51930 52272 52800 53240 53460 54450 55392 57024 57123 57600 57700 58080 58564 58806 59400 59895 62208 62316 63360 63470 63888 64800 65340 66550 66825 69240 69696 69817 70400 71280 71874 72600 73205 73856 76032 76164 77440 77760 77895 78408 79200 79860 81675 83088 85184 85536 86400 86550 87120 87846 89100 92320 92928 93474 95040 95205 95832 96800 97200 98010 99825 101552 103680 103860 104544 105600 106480 106920 107811 108900 110784 114048 114246 115400 116160 117128 117612 118800 119790 124632 126720 126940 127776 129600 129825 130680 131769 133100 133650 138480 139392 139634 140211 142560 143748 145200 146410 147015 147712 152328 154880 155520 155790 156816 158400 158675 159720 163350 166176 170368 171072 171369 172800 173100 174240 175692 178200 179685 184640 186948 190080 190410 191664 193600 194400 196020 199650 203104 207720 209088 209451 211200 212960 213840 215622 217800 219615 221568 228096 228492 230800 232320 233685 234256 235224 237600 239580 245025 249264 253880 255552 259200 259650 261360 263538 266200 267300 276960 278784 279268 280422 285120 285615 287496 290400 292820 294030 299475 304656 311040 311580 313632 316800 317350 319440 323433 326700 332352 340736 342144 342738 346200 348480 349085 351384 356400 359370 366025 369280 373896 380160 380820 383328 387200 388800 389475 392040 395307 399300 406208 415440 418176 418902 425920 427680 431244 435600 439230 443136 456984 461600 464640 467370 468512 470448 475200 476025 479160 490050 498528 507760 511104 514107 518400 519300 522720 527076 532400 534600 539055 553920 558536 560844 570240 571230 574992 580800 585640 588060 598950 609312 623160 627264 628353 633600 634700 638880 646866 653400 658845 664704 684288 685476 692400 696960 698170 701055 702768 712800 718740 732050 735075 738560 747792 761640 766656 767987 774400 777600 778950 784080 790614 798600 812416 830880 836352 837804 851840 855360 856845 862488 871200 878460 898425 913968 923200 934740 937024 940896 950400 952050 958320 980100 997056 1015520 1022208 1028214 1038600 1045440 1047255 1054152 1064800 1069200 1078110 1098075 1107840 1117072 1121688 1140480 1142460 1149984 1161600 1168425 1171280 1176120 1185921 1197900 1218624 1246320 1254528 1256706 1269400 1277760 1293732 1306800 1317690 1329408 1370952 1384800 1393920 1396340 1402110 1405536 1425600 1428075 1437480 1464100 1470150 1495584 1523280 1533312 1535974 1542321 1555200 1557900 1568160 1581228 1597200 1617165 1624832 1661760 1675608 1703680 1710720 1713690 1724976 1742400 1745425 1756920 1796850 1827936 1846400 1869480 1874048 1881792 1885059 1900800 1904100 1916640 1960200 1976535 1994112 2031040 2056428 2077200 2090880 2094510 2108304 2129600 2138400 2156220 2196150 2215680 2234144 2243376 2284920 2299968 2303961 2323200 2336850 2342560 2352240 2371842 2395800 2437248 2492640 2509056 2513412 2538800 2555520 2570535 2587464 2613600 2635380 2695275 2741904 2769600 2792680 2804220 2811072 2851200 2856150 2874960 2928200 2940300 2991168 3046560 3066624 3071948 3084642 3115800 3136320 3141765 3162456 3194400 3234330 3294225 3323520 3351216 3421440 3427380 3449952 3484800 3490850 3505275 3513840 3557763 3593700 3655872 3692800 3738960 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31624560 32343300 32902848 33235200 33512160 33732864 33791428 33931062 34273800 34499520 34559415 35138400 35577630 35894016 36558720 36863376 37389600 37635840 37701180 37949472 38332800 38399350 38558025 39530700 40214592 40620800 41128560 41399424 41471298 41890200 42166080 42239285 43124400 43870464 44682880 44867520 45241416 45698400 45999360 46079220 46851200 47044800 47126475 47436840 49151168 49354272 49852800 50268240 50599296 50687142 51410700 51749280 52707600 53619456 54838080 55295064 55853600 56084400 56221440 56551770 56924208 57499200 57599025 59296050 59823360 60321888 60931200 61438960 61692840 62206947 62726400 62835300 63249120 64686600 65805696 67024320 67582856 67862124 68547600 68999040 69118830 70276800 71155260 73117440 73726752 74779200 75402360 75898944 76030713 76665600 76798700 77116050 79061400 80429184 82257120 82798848 82942596 83780400 84332160 84478570 84827655 86248800 88944075 89365760 89735040 90482832 91396800 92158440 93702400 94089600 94252950 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294907008 299116800 301609440 303595776 304122852 307194800 308464200 311034735 316245600 329028480 331770384 335121600 337914280 339310620 344995200 345594150 355776300 361931328 365587200 368633760 373241682 377011800 379494720 380153565 394834176 402145920 405497136 411285600 413994240 414712980 421660800 422392850 424138275 442360512 446828800 448675200 452414160 455393664 456184278 460792200 474368400 482575104 491511680 493542720 497655576 502682400 505992960 506871420 517492800 518391225 540662848 542896992 548380800 552950640 565517700 569242080 589814016 603218880 608245704 614389600 616928400 622069470 632491200 633589275 658056960 663540768 670243200 675828560 678621240 684276417 689990400 691188300 711552600 723862656 737267520 746483364 754023600 758989440 760307130 804291840 810994272 822571200 829425960 843321600 844785700 848276550 884721024 897350400 904828320 910787328 912368556 921584400 933104205 948736800 983023360 987085440 995311152 1005364800 1013742840 1034985600 1036782450 1081325696 1085793984 1096761600 1105901280 1131035400 1138484160 1140460695 1206437760 1216491408 1228779200 1233856800 1244138940 1264982400 1267178550 1327081536 1340486400 1351657120 1357242480 1368552834 1382376600 1423105200 1447725312 1474535040 1492966728 1508047200 1517978880 1520614260 1555173675 1621988544 1645142400 1658851920 1689571400 1696553100 1769442048 1809656640 1824737112 1843168800 1866208410 1897473600 1900767825 1974170880 1990622304 2010729600 2027485680 2052829251 2069971200 2073564900 2162651392 2171587968 2211802560 2262070800 2276968320 2280921390 2412875520 2432982816 2457558400 2467713600 2488277880 2529964800 2534357100 2654163072 2703314240 2714484960 2737105668 2764753200 2846210400 2949070080 2985933456 3016094400 3041228520 3110347350 3243977088 3290284800 3317703840 3379142800 3393106200 3421382085 3619313280 3649474224 3686337600 3732416820 3794947200 3801535650 3981244608 4021459200 4054971360 4105658502 4147129800 4343175936 4423605120 4524141600 4553936640 4561842780 4665521025 4865965632 4915116800 4935427200 4976555760 5068714200 5308326144 5406628480 5428969920 5474211336 5529506400 5692420800 5702303475 5971866912 6032188800 6082457040 6220694700 6487954176 6635407680 6758285600 6786212400 6842764170 7238626560 7298948448 7372675200 7464833640 7589894400 7603071300 7962489216 8109942720 8211317004 8294259600 8847210240 9048283200 9123685560 9331042050 9731931264 9870854400 9953111520 10137428400 10264146255 10813256960 10857939840 10948422672 11059012800 11384841600 11404606950 11943733824 12064377600 12164914080 12441389400 13270815360 13516571200 13572424800 13685528340 14597896896 14745350400 14929667280 15206142600 15924978432 16219885440 16422634008 16588519200 17106910425 18096566400 18247371120 18662084100 19463862528 19906223040 20274856800 20528292510 21715879680 21896845344 22118025600 22769683200 22809213900 23887467648 24329828160 24882778800 26541630720 27033142400 27144849600 27371056680 29195793792 29859334560 30412285200 32439770880 32845268016 33177038400 34213820850 36193132800 36494742240 37324168200 39812446080 40549713600 41056585020 43793690688 44236051200 45618427800 47774935296 48659656320 49765557600 51320731275 54066284800 54289699200 54742113360 58391587584 59718669120 60824570400 65690536032 66354076800 68427641700 72989484480 74648336400 79624892160 81099427200 82113170040 87587381376 91236855600 97319312640 99531115200 102641462550 108579398400 109484226720 119437338240 121649140800 131381072064 132708153600 136855283400 145978968960 149296672800 162198854400 164226340080 175174762752 182473711200 199062230400 205282925100 218968453440 238874676480 243298281600 262762144128 273710566800 291957937920 298593345600 328452680160 364947422400 398124460800 410565850200 437936906880 486596563200 525524288256 547421133600 597186691200 656905360320 729894844800 821131700400 875873813760 1094842267200 1194373382400 1313810720640 1459789689600 1642263400800 2189684534400 2627621441280 3284526801600 4379369068800 6569053603200 13138107206400
- Sum of all divisors σ(n): 53675060817560
- Sum of proper divisors (its aliquot sum) s(n): 40536953611160
- 13138107206400 is an abundant number, because the sum of its proper divisors (40536953611160) is greater than itself. Its abundance is 27398846404760
Bases of 13138107206400
- Binary: 101111110010111101000011011010001011000000002
- Hexadecimal: 0xBF2F4368B00
- Base-36: 4NNK9TC00
Squares and roots of 13138107206400
- 13138107206400 squared (131381072064002) is 172609860966859612200960000
- 13138107206400 cubed (131381072064003) is 2267766858264400342634541940998144000000
-
The
square root of 13138107206400 is 3624652.7014874129 -
The
cube root of 13138107206400 is 23596.3194528409
Scales and comparisons
How big is 13138107206400?- 13,138,107,206,400 seconds is equal to 417,751 years, 8 weeks, 6 days.
-
To count from 1 to 13,138,107,206,400 would take you about one million, forty-four thousand, three hundred seventy-seven 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 13138107206400 cubic inches would be around 1966.4 feet tall.
Recreational maths with 13138107206400
- 13138107206400 backwards is 00460270183131
- 13138107206400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13138107206400's digits is 36
- More coming soon!
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"Number 13138107206400 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 13138107206400 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/13138107206400/
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The information we have on file for 13138107206400 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!
Keywords: Divisors of 13138107206400, math, Factors of 13138107206400, curriculum, school, college, exams, university, Prime factorization of 13138107206400, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, one hundred thirty-eight billion, one hundred seven million, two hundred six thousand, four hundred.