13681048590720
13,681,048,590,720 is an even composite number composed of six prime numbers multiplied together.
What does the number 13681048590720 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
13681048590720 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13681048590720:
27 × 33 × 5 × 75 × 172 × 163
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 7 × 7 × 17 × 17 × 163)See below for interesting mathematical facts about the number 13681048590720 from the Numbermatics database.
Names of 13681048590720
- Cardinal: 13681048590720 can be written as Thirteen trillion, six hundred eighty-one billion, forty-eight million, five hundred ninety thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.368104859072 × 1013
Factors of 13681048590720
Divisors of 13681048590720
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 27 28 30 32 34 35 36 40 42 45 48 49 51 54 56 60 63 64 68 70 72 80 84 85 90 96 98 102 105 108 112 119 120 126 128 135 136 140 144 147 153 160 163 168 170 180 189 192 196 204 210 216 224 238 240 245 252 255 270 272 280 288 289 294 306 315 320 326 336 340 343 357 360 378 384 392 408 420 432 441 448 459 476 480 489 490 504 510 540 544 560 576 578 588 595 612 630 640 652 672 680 686 714 720 735 756 765 784 815 816 833 840 864 867 882 896 918 945 952 960 978 980 1008 1020 1029 1071 1080 1088 1120 1141 1152 1156 1176 1190 1224 1260 1304 1323 1344 1360 1372 1428 1440 1445 1467 1470 1512 1530 1568 1630 1632 1666 1680 1715 1728 1734 1764 1785 1836 1890 1904 1920 1956 1960 2016 2023 2040 2058 2142 2160 2176 2205 2240 2282 2295 2312 2352 2380 2401 2445 2448 2499 2520 2601 2608 2646 2688 2720 2744 2771 2856 2880 2890 2934 2940 3024 3060 3087 3136 3213 3260 3264 3332 3360 3423 3430 3456 3468 3528 3570 3672 3780 3808 3912 3920 4032 4046 4080 4116 4165 4284 4320 4335 4401 4410 4480 4564 4590 4624 4704 4760 4802 4890 4896 4998 5040 5145 5202 5216 5292 5355 5440 5488 5542 5705 5712 5760 5780 5831 5868 5880 6048 6069 6120 6174 6272 6426 6520 6528 6615 6664 6720 6846 6860 6936 7056 7140 7203 7335 7344 7497 7560 7616 7803 7824 7840 7987 8064 8092 8160 8232 8313 8330 8568 8640 8670 8802 8820 9128 9180 9248 9261 9408 9520 9604 9780 9792 9996 10080 10115 10269 10290 10404 10432 10584 10710 10880 10976 11084 11410 11424 11560 11662 11736 11760 12005 12096 12138 12240 12348 12495 12852 13005 13040 13230 13328 13440 13692 13720 13855 13872 14112 14161 14280 14406 14670 14688 14994 15120 15232 15435 15606 15648 15680 15974 16065 16184 16320 16464 16626 16660 16807 17115 17136 17280 17340 17493 17604 17640 18207 18256 18360 18496 18522 18816 19040 19208 19397 19560 19584 19992 20160 20230 20538 20580 20808 20864 21168 21420 21609 21952 22005 22168 22491 22820 22848 23120 23324 23472 23520 23961 24010 24192 24276 24480 24696 24939 24990 25704 26010 26080 26460 26656 27384 27440 27710 27744 28224 28322 28560 28812 29155 29340 29376 29988 30240 30345 30807 30870 31212 31296 31360 31948 32130 32368 32640 32928 33252 33320 33614 34230 34272 34680 34986 35208 35280 36015 36414 36512 36720 36992 37044 37485 38080 38416 38794 39015 39120 39935 39984 40320 40460 40817 41076 41160 41565 41616 42336 42483 42840 43218 43904 44010 44336 44982 45640 45696 46240 46305 46648 46944 47040 47107 47922 48020 48552 48960 49392 49878 49980 50421 51345 51408 52020 52160 52479 52920 53312 54621 54768 54880 55420 55488 55909 56448 56644 57120 57624 58191 58310 58680 58752 59976 60480 60690 61614 61740 62424 62592 63896 64260 64736 64827 65856 66504 66640 67228 68460 68544 69360 69972 70416 70560 70805 71883 72030 72828 73024 73440 74088 74817 74970 76160 76832 77588 78030 78240 79870 79968 80920 81634 82152 82320 83130 83232 84035 84672 84966 85680 86436 87465 88020 88672 89964 91035 91280 92480 92610 93296 93888 94080 94214 95844 96040 96985 97104 97920 98784 99127 99756 99960 100842 102690 102816 104040 104320 104958 105840 106624 108045 109242 109536 109760 110840 110976 111818 112455 113288 114240 115248 116382 116620 117360 119805 119952 120960 121380 122451 123228 123480 124695 124848 127449 127792 128520 129472 129654 131712 133008 133280 134456 135779 136920 137088 138720 139944 140832 141120 141321 141610 143766 144060 145656 146048 146880 148176 149634 149940 151263 153664 154035 155176 156060 156480 157437 159740 159936 161840 163268 164304 164640 166260 166464 167727 168070 169344 169932 171360 172872 174573 174930 176040 177344 179928 182070 182560 184960 185220 186592 187776 188428 191688 192080 193970 194208 197568 198254 199512 199920 201684 204085 205380 205632 208080 209916 211680 212415 215649 216090 218484 219072 219520 221680 223636 224910 226576 228480 230496 232764 233240 234720 235535 239610 239904 242760 244902 246456 246960 249390 249696 252105 254898 255584 257040 258944 259308 262395 266016 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1551139296 1554311360 1577975616 1583454698 1596761040 1642382784 1645741440 1661934960 1676599092 1690688160 1696558605 1712914560 1745031708 1748600280 1753306240 1796356170 1809662512 1824869760 1862887880 1865173632 1899354240 1916113248 1938924120 1972469520 1994321952 1998400320 2035870326 2052978480 2068185728 2095748865 2098320336 2129014720 2181289635 2215913280 2235465456 2254250880 2262078140 2326708944 2331467040 2346261120 2366963424 2375182047 2395141560 2398080384 2468612160 2492902440 2514898638 2554817664 2585232160 2622900420 2629959360 2659095936 2714493768 2737304640 2794331820 2797760448 2849031360 2874169872 2908386180 2958704280 2980620608 2997600480 3053805489 3102278592 3108622720 3155951232 3166909396 3193522080 3284765568 3323869920 3353198184 3381376320 3393117210 3490063416 3497200560 3592712340 3619325024 3725775760 3832226496 3877848240 3944939040 3958636745 3988643904 3996800640 4071740652 4105956960 4191497730 4196640672 4258029440 4362579270 4431826560 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139602536640 142510922820 152011651008 160953512832 162869626080 171013107384 190014563760 195443551296 201191891040 213766384230 217159501440 228017476512 244304439120 253352751680 268255854720 279205073280 285021845640 304023302016 325739252160 342026214768 380029127520 390887102592 402383782080 427532768460 456034953024 488608878240 506705503360 570043691280 651478504320 684052429536 760058255040 804767564160 855065536920 912069906048 977217756480 1140087382560 1368104859072 1520116510080 1710131073840 1954435512960 2280174765120 2736209718144 3420262147680 4560349530240 6840524295360 13681048590720
- Sum of all divisors σ(n): 60418083340800
- Sum of proper divisors (its aliquot sum) s(n): 46737034750080
- 13681048590720 is an abundant number, because the sum of its proper divisors (46737034750080) is greater than itself. Its abundance is 33055986159360
Bases of 13681048590720
- Binary: 110001110001010111100000101010011001100000002
- Hexadecimal: 0xC715E0A9980
- Base-36: 4UKZJ3HC0
Squares and roots of 13681048590720
- 13681048590720 squared (136810485907202) is 187171090541641698070118400
- 13681048590720 cubed (136810485907203) is 2560696784478252674857381080063541248000
-
The
square root of 13681048590720 is 3698790.1522957475 -
The
cube root of 13681048590720 is 23916.9866873009
Scales and comparisons
How big is 13681048590720?- 13,681,048,590,720 seconds is equal to 435,015 years, 1 week, 2 days, 19 hours, 12 minutes.
-
To count from 1 to 13,681,048,590,720 would take you about one million, eighty-seven thousand, five hundred thirty-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 13681048590720 cubic inches would be around 1993.1 feet tall.
Recreational maths with 13681048590720
- 13681048590720 backwards is 02709584018631
- 13681048590720 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13681048590720's digits is 54
- More coming soon!
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"Number 13681048590720 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 13681048590720 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/13681048590720/
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Numbermatics. 2024. "Number 13681048590720 - Facts about the integer". https://numbermatics.com/n/13681048590720/
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