13890337826166144
13,890,337,826,166,144 is an even composite number composed of five prime numbers multiplied together.
What does the number 13890337826166144 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
13890337826166144 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 13890337826166144:
27 × 33 × 72 × 174 × 9912
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 17 × 17 × 17 × 17 × 991 × 991)See below for interesting mathematical facts about the number 13890337826166144 from the Numbermatics database.
Names of 13890337826166144
- Cardinal: 13890337826166144 can be written as Thirteen quadrillion, eight hundred ninety trillion, three hundred thirty-seven billion, eight hundred twenty-six million, one hundred sixty-six thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.3890337826166144 × 1016
Factors of 13890337826166144
Divisors of 13890337826166144
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 48 49 51 54 56 63 64 68 72 84 96 98 102 108 112 119 126 128 136 144 147 153 168 189 192 196 204 216 224 238 252 272 288 289 294 306 336 357 378 384 392 408 432 441 448 459 476 504 544 576 578 588 612 672 714 756 784 816 833 864 867 882 896 918 952 991 1008 1071 1088 1152 1156 1176 1224 1323 1344 1428 1512 1568 1632 1666 1728 1734 1764 1836 1904 1982 2016 2023 2142 2176 2312 2352 2448 2499 2601 2646 2688 2856 2973 3024 3136 3213 3264 3332 3456 3468 3528 3672 3808 3964 4032 4046 4284 4624 4704 4896 4913 4998 5202 5292 5712 5946 6048 6069 6272 6426 6528 6664 6936 6937 7056 7344 7497 7616 7803 7928 8064 8092 8568 8919 9248 9408 9792 9826 9996 10404 10584 11424 11892 12096 12138 12852 13328 13872 13874 14112 14161 14688 14739 14994 15232 15606 15856 16184 16847 17136 17838 18207 18496 18816 19584 19652 19992 20808 20811 21168 22491 22848 23784 24192 24276 25704 26656 26757 27744 27748 28224 28322 29376 29478 29988 31212 31712 32368 33694 34272 34391 35676 36414 36992 39304 39984 41616 41622 42336 42483 44217 44982 45696 47568 48552 48559 50541 51408 53312 53514 54621 55488 55496 56448 56644 58752 58956 59976 62424 62433 63424 64736 67388 68544 68782 71352 72828 78608 79968 83232 83244 83521 84672 84966 88434 89964 95136 97104 97118 101082 102816 103173 106624 107028 109242 110976 110992 113288 117912 117929 119952 124848 124866 126848 127449 129472 132651 134776 137088 137564 142704 145656 145677 151623 157216 159936 166464 166488 167042 169344 169932 176868 179928 187299 190272 194208 194236 202164 205632 206346 214056 218484 221984 226576 235824 235858 239904 240737 249696 249732 250563 254898 258944 265302 269552 275128 285408 286399 291312 291354 303246 309519 314432 319872 332928 332976 334084 339864 353736 353787 359856 374598 380544 382347 388416 388472 404328 411264 412692 428112 436968 437031 443968 453152 454869 471648 471716 479808 481474 499392 499464 501126 509796 530604 539104 550256 570816 572798 582624 582708 584647 606492 619038 628864 665952 668168 679728 707472 707574 719712 722211 749196 751689 764694 776832 776944 808656 825384 825503 856224 859197 873936 874062 887936 906304 909738 928557 943296 943432 959616 962948 982081 998784 998928 1002252 1019592 1061208 1061361 1078208 1100512 1141632 1145596 1165248 1165416 1169294 1212984 1238076 1311093 1331904 1336336 1359456 1414944 1415148 1439424 1444422 1498392 1503378 1529388 1553888 1617312 1650768 1651006 1712448 1718394 1747872 1748124 1753941 1812608 1819476 1857114 1886592 1886864 1925896 1964162 1997856 2004504 2004793 2039184 2122416 2122722 2156416 2166633 2201024 2255067 2291192 2330496 2330832 2338588 2425968 2476152 2476509 2577591 2622186 2663808 2672672 2718912 2829888 2830296 2878848 2888844 2946243 2996784 3006756 3058776 3107776 3184083 3234624 3301536 3302012 3424896 3436788 3495744 3496248 3507882 3638952 3714228 3773728 3851792 3928324 3995712 4009008 4009586 4078368 4092529 4244832 4245444 4333266 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4672162067328 4863563664624 5167536393663 5249560780864 5340383631744 5558358473856 5674157608728 5905755878472 6007931585712 6383427309819 6484751552832 6866207526528 6890048524884 7008243100992 7295345496936 7565543478304 7874341171296 8010575447616 8038389945698 8337537710784 8511236413092 8858633817708 9186731366512 9727127329248 10335072787326 10499121561728 11348315217456 11811511756944 12015863171424 12057584918547 12766854619638 12969503105664 13780097049768 14016486201984 14590690993872 15131086956608 15502609180989 15748682342592 16021150895232 16076779891396 16675075421568 17022472826184 17717267635416 18373462733024 19454254658496 20670145574652 22696630434912 23623023513888 24031726342848 24115169837094 25533709239276 27560194099536 29181381987744 30262173913216 31005218361978 31497364685184 32153559782792 34044945652368 35434535270832 36172754755641 36746925466048 38908509316992 41340291149304 45393260869824 47246047027776 48063452685696 48230339674188 51067418478552 55120388199072 58362763975488 62010436723956 64307119565584 68089891304736 70869070541664 72345509511282 73493850932096 82680582298608 90786521739648 94492094055552 96460679348376 102134836957104 108518264266923 110240776398144 116725527950976 124020873447912 128614239131168 136179782609472 141738141083328 144691019022564 165361164597216 192921358696752 204269673914208 217036528533846 220481552796288 248041746895824 257228478262336 272359565218944 283476282166656 289382038045128 330722329194432 385842717393504 408539347828416 434073057067692 496083493791648 514456956524672 578764076090256 661444658388864 771685434787008 817078695656832 868146114135384 992166987583296 1157528152180512 1543370869574016 1736292228270768 1984333975166592 2315056304361024 3472584456541536 4630112608722048 6945168913083072 13890337826166144
- Sum of all divisors σ(n): 50720685467470200
- Sum of proper divisors (its aliquot sum) s(n): 36830347641304056
- 13890337826166144 is an abundant number, because the sum of its proper divisors (36830347641304056) is greater than itself. Its abundance is 22940009815137912
Bases of 13890337826166144
- Binary: 1100010101100100110000010010111111000001010101100000002
- Hexadecimal: 0x3159304BF05580
- Base-36: 3SRPP3RSYO0
Squares and roots of 13890337826166144
- 13890337826166144 squared (138903378261661442) is 192941484925021998851553491828736
- 13890337826166144 cubed (138903378261661443) is 2680022406290697914601244881388266077914329513984
-
The
square root of 13890337826166144 is 117857277.3576843833 -
The
cube root of 13890337826166144 is 240383.2870105699
Scales and comparisons
How big is 13890337826166144?- 13,890,337,826,166,144 seconds is equal to 441,669,777 years, 12 weeks, 1 day, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 13,890,337,826,166,144 would take you about one billion, three hundred twenty-five million, nine thousand, three hundred thirty-one 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 13890337826166144 cubic inches would be around 20031.9 feet tall.
Recreational maths with 13890337826166144
- 13890337826166144 backwards is 44166162873309831
- 13890337826166144 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13890337826166144's digits is 72
- More coming soon!
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"Number 13890337826166144 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 13890337826166144 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/13890337826166144/
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The information we have on file for 13890337826166144 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 13890337826166144, math, Factors of 13890337826166144, curriculum, school, college, exams, university, Prime factorization of 13890337826166144, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, eight hundred ninety trillion, three hundred thirty-seven billion, eight hundred twenty-six million, one hundred sixty-six thousand, one hundred forty-four.