13146427889703360
13,146,427,889,703,360 is an even composite number composed of five prime numbers multiplied together.
13146427889703360 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 13146427889703360:
26 × 33 × 5 × 72 × 31052598001
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 31052598001)See below for interesting mathematical facts about the number 13146427889703360 from the Numbermatics database.
Names of 13146427889703360
- Cardinal: 13146427889703360 can be written as Thirteen quadrillion, one hundred forty-six trillion, four hundred twenty-seven billion, eight hundred eighty-nine million, seven hundred three thousand, three hundred sixty.
Scientific notation
- Scientific notation: 1.314642788970336 × 1016
Factors of 13146427889703360
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 31052598018
Divisors of 13146427889703360
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 49 54 56 60 63 64 70 72 80 84 90 96 98 105 108 112 120 126 135 140 144 147 160 168 180 189 192 196 210 216 224 240 245 252 270 280 288 294 315 320 336 360 378 392 420 432 441 448 480 490 504 540 560 576 588 630 672 720 735 756 784 840 864 882 945 960 980 1008 1080 1120 1176 1260 1323 1344 1440 1470 1512 1568 1680 1728 1764 1890 1960 2016 2160 2205 2240 2352 2520 2646 2880 2940 3024 3136 3360 3528 3780 3920 4032 4320 4410 4704 5040 5292 5880 6048 6615 6720 7056 7560 7840 8640 8820 9408 10080 10584 11760 12096 13230 14112 15120 15680 17640 20160 21168 23520 26460 28224 30240 35280 42336 47040 52920 60480 70560 84672 105840 141120 211680 423360 31052598001 62105196002 93157794003 124210392004 155262990005 186315588006 217368186007 248420784008 279473382009 310525980010 372631176012 434736372014 465788970015 496841568016 558946764018 621051960020 652104558021 745262352024 838420146027 869472744028 931577940030 993683136032 1086840930035 1117893528036 1242103920040 1304209116042 1397366910045 1490524704048 1521577302049 1676840292054 1738945488056 1863155880060 1956313674063 1987366272064 2173681860070 2235787056072 2484207840080 2608418232084 2794733820090 2981049408096 3043154604098 3260522790105 3353680584108 3477890976112 3726311760120 3912627348126 4192100730135 4347363720140 4471574112144 4564731906147 4968415680160 5216836464168 5589467640180 5868941022189 5962098816192 6086309208196 6521045580210 6707361168216 6955781952224 7452623520240 7607886510245 7825254696252 8384201460270 8694727440280 8943148224288 9129463812294 9781568370315 9936831360320 10433672928336 11178935280360 11737882044378 12172618416392 13042091160420 13414722336432 13694195718441 13911563904448 14905247040480 15215773020490 15650509392504 16768402920540 17389454880560 17886296448576 18258927624588 19563136740630 20867345856672 22357870560720 22823659530735 23475764088756 24345236832784 26084182320840 26829444672864 27388391436882 29344705110945 29810494080960 30431546040980 31301018785008 33536805841080 34778909761120 36517855249176 39126273481260 41082587155323 41734691713344 44715741121440 45647319061470 46951528177512 48690473665568 52168364641680 53658889345728 54776782873764 58689410221890 60863092081960 62602037570016 67073611682160 68470978592205 69557819522240 73035710498352 78252546962520 82165174310646 89431482242880 91294638122940 93903056355024 97380947331136 104336729283360 109553565747528 117378820443780 121726184163920 125204075140032 134147223364320 136941957184410 146071420996704 156505093925040 164330348621292 182589276245880 187806112710048 205412935776615 208673458566720 219107131495056 234757640887560 243452368327840 268294446728640 273883914368820 292142841993408 313010187850080 328660697242584 365178552491760 375612225420096 410825871553230 438214262990112 469515281775120 486904736655680 547767828737640 626020375700160 657321394485168 730357104983520 821651743106460 876428525980224 939030563550240 1095535657475280 1314642788970336 1460714209967040 1643303486212920 1878061127100480 2191071314950560 2629285577940672 3286606972425840 4382142629901120 6573213944851680 13146427889703360
- Sum of all divisors σ(n): 53949541664754720
- Sum of proper divisors (its aliquot sum) s(n): 40803113775051360
- 13146427889703360 is an abundant number, because the sum of its proper divisors (40803113775051360) is greater than itself. Its abundance is 27656685885348000
Bases of 13146427889703360
- Binary: 1011101011010010011011010001000110111001011001110000002
- Hexadecimal: 0x2EB49B446E59C0
- Base-36: 3LG0PLITIO0
Squares and roots of 13146427889703360
- 13146427889703360 squared (131464278897033602) is 172828566259170339361508795289600
- 13146427889703360 cubed (131464278897033603) is 2272078283607002051747783729407300097909293056000
-
The
square root of 13146427889703360 is 114657873.2128908799 -
The
cube root of 13146427889703360 is 236012.9977621991
Scales and comparisons
How big is 13146427889703360?- 13,146,427,889,703,360 seconds is equal to 418,015,742 years, 16 weeks, 4 days, 21 hours, 36 minutes.
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To count from 1 to 13,146,427,889,703,360 would take you about one billion, two hundred fifty-four million, forty-seven thousand, two hundred twenty-six 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 13146427889703360 cubic inches would be around 19667.7 feet tall.
Recreational maths with 13146427889703360
- 13146427889703360 backwards is 06330798872464131
- 13146427889703360 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13146427889703360's digits is 72
- More coming soon!
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