13739980735504000
13,739,980,735,504,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13739980735504000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
13739980735504000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13739980735504000:
27 × 53 × 172 × 194 × 1512
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 17 × 19 × 19 × 19 × 19 × 151 × 151)See below for interesting mathematical facts about the number 13739980735504000 from the Numbermatics database.
Names of 13739980735504000
- Cardinal: 13739980735504000 can be written as Thirteen quadrillion, seven hundred thirty-nine trillion, nine hundred eighty billion, seven hundred thirty-five million, five hundred four thousand.
Scientific notation
- Scientific notation: 1.3739980735504 × 1016
Factors of 13739980735504000
Divisors of 13739980735504000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 8 10 16 17 19 20 25 32 34 38 40 50 64 68 76 80 85 95 100 125 128 136 151 152 160 170 190 200 250 272 289 302 304 320 323 340 361 380 400 425 475 500 544 578 604 608 640 646 680 722 755 760 800 850 950 1000 1088 1156 1208 1216 1292 1360 1444 1445 1510 1520 1600 1615 1700 1805 1900 2000 2125 2176 2312 2375 2416 2432 2567 2584 2720 2869 2888 2890 3020 3040 3200 3230 3400 3610 3775 3800 4000 4250 4624 4750 4832 5134 5168 5440 5491 5738 5776 5780 6040 6080 6137 6460 6800 6859 7220 7225 7550 7600 8000 8075 8500 9025 9248 9500 9664 10268 10336 10880 10982 11476 11552 11560 12080 12160 12274 12835 12920 13600 13718 14345 14440 14450 15100 15200 16000 16150 17000 18050 18496 18875 19000 19328 20536 20672 21964 22801 22952 23104 23120 24160 24548 25670 25840 27200 27436 27455 28690 28880 28900 30200 30400 30685 32300 34000 34295 36100 36125 36992 37750 38000 40375 41072 41344 43639 43928 45125 45602 45904 46208 46240 48320 48773 49096 51340 51680 54400 54511 54872 54910 57380 57760 57800 60400 60800 61370 64175 64600 68000 68590 71725 72200 72250 75500 76000 80750 82144 87278 87856 90250 91204 91808 92480 96640 97546 98192 102680 103360 104329 109022 109744 109820 114005 114760 115520 115600 116603 120800 122740 128350 129200 130321 136000 137180 137275 143450 144400 144500 151000 152000 153425 161500 164288 171475 174556 175712 180500 182408 183616 184960 195092 196384 205360 206720 208658 218044 218195 219488 219640 228010 229520 231040 231200 233206 241600 243865 245480 256700 258400 260642 272000 272555 274360 274550 286900 288800 289000 302000 304000 306850 320875 323000 328576 342950 349112 351424 358625 361000 364816 367232 387617 390184 392768 410720 417316 433219 436088 436390 438976 439280 456020 459040 462400 466412 483200 487730 490960 513400 516800 521284 521645 545110 548720 549100 570025 573800 577600 578000 583015 604000 613700 641750 646000 651605 685900 686375 698224 702848 717250 722000 729632 767125 775234 780368 785536 821440 829141 834632 857375 866438 872176 872780 877952 878560 912040 918080 924800 926687 932824 975460 981920 1026800 1033600 1035709 1042568 1043290 1090220 1090975 1097440 1098200 1140050 1147600 1155200 1156000 1166030 1208000 1219325 1227400 1283500 1292000 1303210 1362775 1371800 1372750 1396448 1434500 1444000 1459264 1534250 1550468 1560736 1642880 1658282 1669264 1714750 1732876 1744352 1745560 1757120 1824080 1836160 1853374 1865648 1938085 1950920 1963840 1982251 2053600 2071418 2085136 2086580 2166095 2180440 2181950 2194880 2196400 2215457 2280100 2295200 2312000 2332060 2416000 2438650 2454800 2567000 2584000 2606420 2608225 2725550 2743600 2745500 2792896 2850125 2869000 2888000 2915075 2918528 3068500 3100936 3121472 3258025 3316564 3338528 3429500 3465752 3488704 3491120 3514240 3648160 3706748 3731296 3876170 3901840 3927680 3964502 4107200 4142836 4145705 4170272 4173160 4332190 4360880 4363900 4389760 4392800 4430914 4560200 4590400 4624000 4633435 4664120 4877300 4909600 5134000 5168000 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53173300060 53525441120 55971894800 56342569600 56870781190 58917784000 59428982420 59470138225 59863980200 60260430400 62556823600 62600145500 62971107200 63014716000 65849288000 66466625075 66906801400 69964868500 70428212000 74286228025 74829975250 75325538000 76121776928 78196029500 78713884000 80128186240 83633501750 85077280096 89555031680 90394610102 90993249904 95086371872 95152221160 95782368320 100090917760 100160232800 101029270114 105431824000 106346600120 107050882240 111943789600 113741562380 117835568000 118857964840 118940276450 119727960400 120520860800 125113647200 125200291000 126029432000 131698576000 132933250150 133813602800 139929737000 140856424000 142176952975 148572456050 149659950500 150651076000 152243553856 156392059000 157427768000 167267003500 170154560192 180789220204 181986499808 190172743744 190304442320 191564736640 200320465600 202058540228 212693200240 214101764480 223887579200 225986525255 227483124760 237715929680 237880552900 239455920800 250227294400 250400582000 252058864000 252573175285 265866500300 267627205600 279859474000 281712848000 284353905950 297144912100 297350691125 299319901000 301302152000 304487107712 312784118000 314855536000 332333125375 334534007000 340309120384 361578440408 363972999616 371431140125 380345487488 380608884640 400640931200 404117080456 425386400480 447775158400 451973050510 454966249520 475431859360 475761105800 478911841600 500454588800 500801164000 505146350570 531733000600 535254411200 559718948000 568707811900 594289824200 594701382250 598639802000 602604304000 625568236000 664666250750 669068014000 710884764875 723156880816 727945999232 742862280250 761217769280 808234160912 850772800960 858748795969 903946101020 909932499040 950863718720 951522211600 957823683200 1001602328000 1010292701140 1063466001200 1070508822400 1119437896000 1129932626275 1137415623800 1188579648400 1189402764500 1197279604000 1251136472000 1262865876425 1329332501500 1338136028000 1421769529750 1446313761632 1485724560500 1522435538560 1616468321824 1701545601920 1717497591938 1807892202040 1819864998080 1901727437440 1903044423200 2003204656000 2020585402280 2126932002400 2238875792000 2259865252550 2274831247600 2377159296800 2378805529000 2394559208000 2502272944000 2525731752850 2658665003000 2676272056000 2843539059500 2892627523264 2971449121000 3232936643648 3434995183876 3615784404080 3639729996160 3806088846400 4041170804560 4253864004800 4293743979845 4519730505100 4549662495200 4754318593600 4757611058000 4789118416000 5051463505700 5317330006000 5352544112000 5649663131375 5687078119000 5785255046528 5942898242000 6314329382125 6465873287296 6869990367752 7231568808160 7612177692800 8082341609120 8507728009600 8587487959690 9039461010200 9099324990400 9508637187200 9515222116000 10102927011400 10634660012000 11299326262750 11374156238000 11885796484000 12628658764250 13739980735504 14463137616320 16164683218240 17174975919380 18078922020400 18198649980800 19030444232000 20205854022800 21269320024000 21468719899225 22598652525500 22748312476000 23771592968000 25257317528500 27479961471008 28926275232640 32329366436480 34349951838760 36157844040800 38060888464000 40411708045600 42538640048000 42937439798450 45197305051000 45496624952000 47543185936000 50514635057000 54959922942016 68699903677520 72315688081600 80823416091200 85874879596900 90394610102000 90993249904000 101029270114000 107343599496125 109919845884032 137399807355040 144631376163200 161646832182400 171749759193800 180789220204000 202058540228000 214687198992250 274799614710080 343499518387600 361578440408000 404117080456000 429374397984500 549599229420160 686999036775200 723156880816000 808234160912000 858748795969000 1373998073550400 1717497591938000 2747996147100800 3434995183876000 6869990367752000 13739980735504000
- Sum of all divisors σ(n): 38560080795507180
- Sum of proper divisors (its aliquot sum) s(n): 24820100060003180
- 13739980735504000 is an abundant number, because the sum of its proper divisors (24820100060003180) is greater than itself. Its abundance is 11080119324499180
Bases of 13739980735504000
- Binary: 1100001101000001110000100011101111010111011110100000002
- Hexadecimal: 0x30D0708EF5DE80
- Base-36: 3RAF00E4NLS
Squares and roots of 13739980735504000
- 13739980735504000 squared (137399807355040002) is 188787070612021040806134016000000
- 13739980735504000 cubed (137399807355040003) is 2593930713321402443679388854234473304064000000000
-
The
square root of 13739980735504000 is 117217663.9227381975 -
The
cube root of 13739980735504000 is 239512.7890132097
Scales and comparisons
How big is 13739980735504000?- 13,739,980,735,504,000 seconds is equal to 436,888,886 years, 43 weeks, 4 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 13,739,980,735,504,000 would take you about one billion, three hundred ten million, six hundred sixty-six thousand, six hundred sixty 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 13739980735504000 cubic inches would be around 19959.4 feet tall.
Recreational maths with 13739980735504000
- 13739980735504000 backwards is 00040553708993731
- 13739980735504000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13739980735504000's digits is 64
- More coming soon!
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"Number 13739980735504000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 13739980735504000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/13739980735504000/
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The information we have on file for 13739980735504000 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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