13340682800870400
13,340,682,800,870,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13340682800870400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2112 divisors.
13340682800870400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 13340682800870400:
210 × 33 × 52 × 29 × 193 × 421 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 29 × 193 × 421 × 8191)See below for interesting mathematical facts about the number 13340682800870400 from the Numbermatics database.
Names of 13340682800870400
- Cardinal: 13340682800870400 can be written as Thirteen quadrillion, three hundred forty trillion, six hundred eighty-two billion, eight hundred million, eight hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 1.33406828008704 × 1016
Factors of 13340682800870400
Divisors of 13340682800870400
- Number of divisors d(n): 2112
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 32 36 40 45 48 50 54 58 60 64 72 75 80 87 90 96 100 108 116 120 128 135 144 145 150 160 174 180 192 193 200 216 225 232 240 256 261 270 288 290 300 320 348 360 384 386 400 421 432 435 450 464 480 512 522 540 576 579 580 600 640 675 696 720 725 768 772 783 800 842 864 870 900 928 960 965 1024 1044 1080 1152 1158 1160 1200 1263 1280 1305 1350 1392 1440 1450 1536 1544 1566 1600 1684 1728 1737 1740 1800 1856 1920 1930 2088 2105 2160 2175 2304 2316 2320 2400 2526 2560 2610 2700 2784 2880 2895 2900 3072 3088 3132 3200 3368 3456 3474 3480 3600 3712 3789 3840 3860 3915 4176 4210 4320 4350 4608 4632 4640 4800 4825 5052 5120 5211 5220 5400 5568 5597 5760 5790 5800 6176 6264 6315 6400 6525 6736 6912 6948 6960 7200 7424 7578 7680 7720 7830 8191 8352 8420 8640 8685 8700 9216 9264 9280 9600 9650 10104 10422 10440 10525 10800 11136 11194 11367 11520 11580 11600 12209 12352 12528 12630 12800 13050 13472 13824 13896 13920 14400 14475 14848 15156 15360 15440 15660 16382 16704 16791 16840 17280 17370 17400 18528 18560 18945 19200 19300 19575 20208 20844 20880 21050 21600 22272 22388 22734 23040 23160 23200 24418 24573 24704 25056 25260 25600 26055 26100 26944 27648 27792 27840 27985 28800 28950 29696 30312 30880 31320 31575 32764 33408 33582 33680 34560 34740 34800 36627 37056 37120 37890 38400 38600 39150 40416 40955 41688 41760 42100 43200 43425 44544 44776 45468 46080 46320 46400 48836 49146 49408 50112 50373 50520 52110 52200 53888 55584 55680 55970 56835 57600 57900 60624 61045 61760 62640 63150 65528 66816 67164 67360 69120 69480 69600 73254 73719 74112 74240 75780 76800 77200 78300 80832 81253 81910 83376 83520 83955 84200 86400 86850 89088 89552 90936 92640 92800 94725 97672 98292 98816 100224 100746 101040 104220 104400 107776 109881 111168 111360 111940 113670 115200 115800 121248 122090 122865 123520 125280 126300 130275 131056 133632 134328 134720 138240 138960 139200 139925 146508 147438 148224 148480 151119 151560 154400 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22234471334784 23001177242880 23040902937600 23160907640400 24704968149760 25556863603200 26056021095450 27793089168480 28751471553600 29645961779712 30668236323840 30881210187200 31688082662400 33351707002176 34561354406400 34741361460600 37057452224640 38335295404800 41689633752720 44468942669568 46002354485760 46321815280800 49409936299520 51113727206400 52112042190900 55586178336960 57502943107200 59291923559424 61762420374400 66703414004352 69122708812800 69482722921200 74114904449280 76670590809600 83379267505440 88937885339136 92004708971520 92643630561600 98819872599040 104224084381800 111172356673920 115005886214400 123524840748800 133406828008704 138965445842400 148229808898560 153341181619200 166758535010880 177875770678272 185287261123200 208448168763600 222344713347840 230011772428800 247049681497600 266813656017408 277930891684800 296459617797120 333517070021760 370574522246400 416896337527200 444689426695680 460023544857600 494099362995200 533627312034816 555861783369600 667034140043520 741149044492800 833792675054400 889378853391360 1111723566739200 1334068280087040 1482298088985600 1667585350108800 2223447133478400 2668136560174080 3335170700217600 4446894266956800 6670341400435200 13340682800870400
- Sum of all divisors σ(n): 51069888194150400
- Sum of proper divisors (its aliquot sum) s(n): 37729205393280000
- 13340682800870400 is an abundant number, because the sum of its proper divisors (37729205393280000) is greater than itself. Its abundance is 24388522592409600
Bases of 13340682800870400
- Binary: 1011110110010101000111110000110110100000110100000000002
- Hexadecimal: 0x2F6547C3683400
- Base-36: 3NCVL2LEYO0
Squares and roots of 13340682800870400
- 13340682800870400 squared (133406828008704002) is 177973817593439300618997596160000
- 13340682800870400 cubed (133406828008704003) is 2374292247374041481445220151591833555697664000000
-
The
square root of 13340682800870400 is 115501873.5816454191 -
The
cube root of 13340682800870400 is 237169.7810830603
Scales and comparisons
How big is 13340682800870400?- 13,340,682,800,870,400 seconds is equal to 424,192,447 years, 32 weeks, 4 days.
-
To count from 1 to 13,340,682,800,870,400 would take you about one billion, two hundred seventy-two million, five hundred seventy-seven thousand, three hundred forty-two 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 13340682800870400 cubic inches would be around 19764.1 feet tall.
Recreational maths with 13340682800870400
- 13340682800870400 backwards is 00407800828604331
- 13340682800870400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13340682800870400's digits is 54
- More coming soon!
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"Number 13340682800870400 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 13340682800870400 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/13340682800870400/
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The information we have on file for 13340682800870400 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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