1344094128984960
1,344,094,128,984,960 is an even composite number composed of five prime numbers multiplied together.
What does the number 1344094128984960 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 256 divisors.
1344094128984960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 1344094128984960:
27 × 33 × 5 × 61 × 1275134837
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 61 × 1275134837)See below for interesting mathematical facts about the number 1344094128984960 from the Numbermatics database.
Names of 1344094128984960
- Cardinal: 1344094128984960 can be written as One quadrillion, three hundred forty-four trillion, ninety-four billion, one hundred twenty-eight million, nine hundred eighty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.34409412898496 × 1015
Factors of 1344094128984960
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 1275134908
Divisors of 1344094128984960
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 61 64 72 80 90 96 108 120 122 128 135 144 160 180 183 192 216 240 244 270 288 305 320 360 366 384 432 480 488 540 549 576 610 640 720 732 864 915 960 976 1080 1098 1152 1220 1440 1464 1647 1728 1830 1920 1952 2160 2196 2440 2745 2880 2928 3294 3456 3660 3904 4320 4392 4880 5490 5760 5856 6588 7320 7808 8235 8640 8784 9760 10980 11712 13176 14640 16470 17280 17568 19520 21960 23424 26352 29280 32940 35136 39040 43920 52704 58560 65880 70272 87840 105408 117120 131760 175680 210816 263520 351360 527040 1054080 1275134837 2550269674 3825404511 5100539348 6375674185 7650809022 10201078696 11476213533 12751348370 15301618044 19127022555 20402157392 22952427066 25502696740 30603236088 34428640599 38254045110 40804314784 45904854132 51005393480 57381067665 61206472176 68857281198 76508090220 77783225057 81608629568 91809708264 102010786960 114762135330 122412944352 137714562396 153016180440 155566450114 163217259136 172143202995 183619416528 204021573920 229524270660 233349675171 244825888704 275429124792 306032360880 311132900228 344286405990 367238833056 388916125285 408043147840 459048541320 466699350342 489651777408 550858249584 612064721760 622265800456 688572811980 700049025513 734477666112 777832250570 816086295680 918097082640 933398700684 1101716499168 1166748375855 1224129443520 1244531600912 1377145623960 1400098051026 1468955332224 1555664501140 1836194165280 1866797401368 2100147076539 2203432998336 2333496751710 2448258887040 2489063201824 2754291247920 2800196102052 3111329002280 3500245127565 3672388330560 3733594802736 4200294153078 4406865996672 4666993503420 4978126403648 5508582495840 5600392204104 6222658004560 7000490255130 7344776661120 7467189605472 8400588306156 9333987006840 9956252807296 10500735382695 11017164991680 11200784408208 12445316009120 14000980510260 14934379210944 16801176612312 18667974013680 21001470765390 22034329983360 22401568816416 24890632018240 28001961020520 29868758421888 33602353224624 37335948027360 42002941530780 44803137632832 49781264036480 56003922041040 67204706449248 74671896054720 84005883061560 89606275265664 112007844082080 134409412898496 149343792109440 168011766123120 224015688164160 268818825796992 336023532246240 448031376328320 672047064492480 1344094128984960
- Sum of all divisors σ(n): 4838371629307200
- Sum of proper divisors (its aliquot sum) s(n): 3494277500322240
- 1344094128984960 is an abundant number, because the sum of its proper divisors (3494277500322240) is greater than itself. Its abundance is 2150183371337280
Bases of 1344094128984960
- Binary: 1001100011001110010010011010001101001010011100000002
- Hexadecimal: 0x4C6724D1A5380
- Base-36: D8FWBGWYO0
Squares and roots of 1344094128984960
- 1344094128984960 squared (13440941289849602) is 1806589027571838289599906201600
- 1344094128984960 cubed (13440941289849603) is 2428225705447955871813955236645667817127936000
-
The
square root of 1344094128984960 is 36661889.3264512487 -
The
cube root of 1344094128984960 is 110359.5433317313
Scales and comparisons
How big is 1344094128984960?- 1,344,094,128,984,960 seconds is equal to 42,738,035 years, 38 weeks, 5 days, 9 hours, 36 minutes.
-
To count from 1 to 1,344,094,128,984,960 would take you about one hundred twenty-eight million, two hundred fourteen thousand, one hundred 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 1344094128984960 cubic inches would be around 9196.6 feet tall.
Recreational maths with 1344094128984960
- 1344094128984960 backwards is 0694898214904431
- 1344094128984960 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 1344094128984960's digits is 72
- More coming soon!
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