13414623768000
13,414,623,768,000 is an even composite number composed of seven prime numbers multiplied together.
13414623768000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and twenty-four divisors.
Prime factorization of 13414623768000:
26 × 32 × 53 × 72 × 132 × 149 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 149 × 151)See below for interesting mathematical facts about the number 13414623768000 from the Numbermatics database.
Names of 13414623768000
- Cardinal: 13414623768000 can be written as Thirteen trillion, four hundred fourteen billion, six hundred twenty-three million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.3414623768 × 1013
Factors of 13414623768000
Divisors of 13414623768000
- Number of divisors d(n): 3024
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 49 50 52 56 60 63 64 65 70 72 75 78 80 84 90 91 96 98 100 104 105 112 117 120 125 126 130 140 144 147 149 150 151 156 160 168 169 175 180 182 192 195 196 200 208 210 224 225 234 240 245 250 252 260 273 280 288 294 298 300 302 312 315 320 325 336 338 350 360 364 375 390 392 400 416 420 441 447 448 450 453 455 468 480 490 500 504 507 520 525 546 560 576 585 588 596 600 604 624 630 637 650 672 676 700 720 728 735 745 750 755 780 784 800 819 832 840 845 875 882 894 900 906 910 936 960 975 980 1000 1008 1014 1040 1043 1050 1057 1092 1120 1125 1170 1176 1183 1192 1200 1208 1225 1248 1260 1274 1300 1341 1344 1352 1359 1365 1400 1440 1456 1470 1490 1500 1510 1521 1560 1568 1575 1600 1625 1638 1680 1690 1750 1764 1788 1800 1812 1820 1872 1911 1937 1950 1960 1963 2000 2016 2028 2080 2086 2100 2114 2184 2205 2235 2240 2250 2265 2275 2340 2352 2366 2384 2400 2416 2450 2496 2520 2535 2548 2600 2625 2682 2704 2718 2730 2800 2880 2912 2925 2940 2980 3000 3020 3042 3120 3129 3136 3150 3171 3185 3250 3276 3360 3380 3500 3528 3549 3576 3600 3624 3640 3675 3725 3744 3775 3822 3874 3900 3920 3926 4000 4032 4056 4095 4160 4172 4200 4225 4228 4368 4410 4470 4500 4530 4550 4680 4704 4732 4768 4800 4832 4875 4900 5040 5070 5096 5200 5215 5250 5285 5364 5408 5436 5460 5600 5733 5811 5824 5850 5880 5889 5915 5960 6000 6040 6084 6125 6240 6258 6300 6342 6370 6500 6552 6705 6720 6760 6795 6825 7000 7056 7098 7152 7200 7248 7280 7301 7350 7399 7450 7488 7550 7605 7644 7748 7800 7840 7852 7875 8000 8112 8190 8281 8344 8400 8450 8456 8736 8820 8940 9000 9060 9100 9360 9387 9408 9464 9513 9536 9555 9664 9685 9750 9800 9815 10080 10140 10192 10400 10430 10500 10570 10647 10728 10816 10872 10920 11025 11175 11200 11325 11375 11466 11622 11700 11760 11778 11830 11920 12000 12080 12168 12250 12480 12516 12600 12675 12684 12740 13000 13104 13410 13520 13559 13590 13650 13741 14000 14112 14196 14304 14400 14496 14560 14602 14625 14700 14798 14900 15100 15210 15288 15496 15600 15645 15680 15704 15750 15855 15925 16224 16380 16562 16688 16800 16900 16912 17433 17472 17640 17667 17745 17880 18000 18120 18200 18375 18625 18720 18774 18875 18928 19026 19110 19370 19500 19600 19630 20160 20280 20384 20475 20800 20860 21000 21125 21140 21294 21456 21744 21840 21903 22050 22197 22350 22499 22650 22750 22932 23244 23400 23520 23556 23660 23840 24000 24160 24336 24500 24843 25032 25181 25200 25350 25368 25480 25519 26000 26075 26208 26425 26820 27040 27118 27180 27300 27482 28000 28224 28392 28608 28665 28992 29055 29120 29204 29250 29400 29445 29575 29596 29800 30200 30420 30576 30992 31200 31290 31408 31500 31710 31850 32448 32760 33124 33376 33525 33600 33800 33824 33975 34125 34866 35280 35334 35490 35760 36000 36240 36400 36505 36750 36995 37250 37440 37548 37750 37856 38025 38052 38220 38740 39000 39200 39260 40560 40677 40768 40950 41223 41405 41720 42000 42250 42280 42588 42912 43488 43680 43806 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3175058880 3193958040 3215394000 3224669175 3275854400 3307353000 3327039625 3353655942 3416868000 3422097900 3439647120 3462732000 3509844000 3553542720 3582965750 3601241280 3650237760 3685336200 3701607000 3726284380 3751293000 3779832000 3802331000 3832749648 3968823600 3992447550 4094818000 4127576544 4211812800 4230408000 4258610720 4277622375 4287192000 4299558900 4409804000 4441928400 4471541256 4501551600 4562797200 4586196160 4606670250 4657855475 4790937060 4913781600 4935476000 4961029500 5001724000 5110332864 5159470680 5264766000 5291764800 5323263400 5374448625 5475356640 5552410500 5589426570 5626939500 5669748000 5703496500 5732745200 5896537920 5922571200 5962055008 5988671325 6002068800 6083729600 6142227000 6345612000 6387916080 6430788000 6449338350 6614706000 6654079250 6707311884 6833736000 6844195800 6879294240 6925464000 7019688000 7165931500 7370672400 7403214000 7452568760 7502586000 7604662000 7665499296 7937647200 7984895100 8189636000 8255153088 8384139855 8517221440 8555244750 8599117800 8819608000 8883856800 8943082512 9003103200 9125594400 9213340500 9315710950 9581874120 9827563200 9870952000 9922059000 9981118875 10003448000 10318941360 10529532000 10646526800 10748897250 10950713280 11104821000 11178853140 11253879000 11339496000 11406993000 11465490400 11924110016 11977342650 12284454000 12691224000 12775832160 12861576000 12898676700 13229412000 13308158500 13414623768 13688391600 13758588480 13973566425 14331863000 14741344800 14806428000 14905137520 15005172000 15209324000 15330998592 15875294400 15969790200 16123345875 16379272000 16768279710 17110489500 17198235600 17767713600 17886165024 18006206400 18251188800 18426681000 18631421900 19163748240 19844118000 19962237750 20637882720 21059064000 21293053600 21497794500 22209642000 22357706280 22507758000 22813986000 22930980800 23289277375 23954685300 24568908000 25551664320 25797353400 26458824000 26616317000 26829247536 27376783200 27947132850 28663726000 29482689600 29612856000 29810275040 29943356625 30010344000 30418648000 31939580400 32246691750 33536559420 34220979000 34396471200 35772330048 36853362000 37262843800 38327496480 39688236000 39924475500 41275765440 41920699275 42586107200 42995589000 44419284000 44715412560 45015516000 45627972000 46578554750 47909370600 49137816000 51594706800 53232634000 53658495072 54753566400 55894265700 57327452000 59620550080 59886713250 63879160800 64493383500 67073118840 68441958000 68792942400 69867832125 73706724000 74525687600 76654992960 79376472000 79848951000 83841398550 85991178000 88838568000 89430825120 90031032000 91255944000 93157109500 95818741200 103189413600 106465268000 107316990144 111788531400 114654904000 119773426500 127758321600 128986767000 134146237680 136883916000 139735664250 147413448000 149051375200 159697902000 167682797100 171982356000 178861650240 186314219000 191637482400 206378827200 209603496375 212930536000 223577062800 239546853000 257973534000 268292475360 273767832000 279471328500 298102750400 319395804000 335365594200 343964712000 372628438000 383274964800 419206992750 447154125600 479093706000 515947068000 536584950720 558942657000 638791608000 670731188400 745256876000 838413985500 894308251200 958187412000 1031894136000 1117885314000 1341462376800 1490513752000 1676827971000 1916374824000 2235770628000 2682924753600 3353655942000 4471541256000 6707311884000 13414623768000
- Sum of all divisors σ(n): 61253719300800
- Sum of proper divisors (its aliquot sum) s(n): 47839095532800
- 13414623768000 is an abundant number, because the sum of its proper divisors (47839095532800) is greater than itself. Its abundance is 34424471764800
Bases of 13414623768000
- Binary: 110000110011010101011110001001101101110000002
- Hexadecimal: 0xC3355E26DC0
- Base-36: 4R6LCMWG0
Squares and roots of 13414623768000
- 13414623768000 squared (134146237680002) is 179952130836990517824000000
- 13414623768000 cubed (134146237680003) is 2413990131428138733992458040832000000000
-
The
square root of 13414623768000 is 3662597.9533658891 -
The
cube root of 13414623768000 is 23760.7146589789
Scales and comparisons
How big is 13414623768000?- 13,414,623,768,000 seconds is equal to 426,543 years, 28 weeks, 1 day, 4 hours.
-
To count from 1 to 13,414,623,768,000 would take you about one million, sixty-six thousand, three hundred fifty-eight 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 13414623768000 cubic inches would be around 1980.1 feet tall.
Recreational maths with 13414623768000
- 13414623768000 backwards is 00086732641431
- 13414623768000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13414623768000's digits is 45
- More coming soon!
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"Number 13414623768000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 13414623768000 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/13414623768000/
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The information we have on file for 13414623768000 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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