1132813264128000
1,132,813,264,128,000 is an even composite number composed of eight prime numbers multiplied together.
1132813264128000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 1132813264128000:
211 × 3 × 53 × 7 × 13 × 41 × 61 × 6481
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 13 × 41 × 61 × 6481)See below for interesting mathematical facts about the number 1132813264128000 from the Numbermatics database.
Names of 1132813264128000
- Cardinal: 1132813264128000 can be written as One quadrillion, one hundred thirty-two trillion, eight hundred thirteen billion, two hundred sixty-four million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.132813264128 × 1015
Factors of 1132813264128000
Divisors of 1132813264128000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 41 42 48 50 52 56 60 61 64 65 70 75 78 80 82 84 91 96 100 104 105 112 120 122 123 125 128 130 140 150 156 160 164 168 175 182 183 192 195 200 205 208 210 224 240 244 246 250 256 260 273 280 287 300 305 312 320 325 328 336 350 364 366 375 384 390 400 410 416 420 427 448 455 480 488 492 500 512 520 525 533 546 560 574 600 610 615 624 640 650 656 672 700 728 732 750 768 780 793 800 820 832 840 854 861 875 896 910 915 960 975 976 984 1000 1024 1025 1040 1050 1066 1092 1120 1148 1200 1220 1230 1248 1280 1281 1300 1312 1344 1365 1400 1435 1456 1464 1500 1525 1536 1560 1586 1599 1600 1625 1640 1664 1680 1708 1722 1750 1792 1820 1830 1920 1950 1952 1968 2000 2048 2050 2080 2100 2132 2135 2184 2240 2275 2296 2379 2400 2440 2460 2496 2501 2560 2562 2600 2624 2625 2665 2688 2730 2800 2870 2912 2928 3000 3050 3072 3075 3120 3172 3198 3200 3250 3280 3328 3360 3416 3444 3500 3584 3640 3660 3731 3840 3900 3904 3936 3965 4000 4100 4160 4200 4264 4270 4305 4368 4480 4550 4575 4592 4758 4800 4875 4880 4920 4992 5002 5120 5124 5125 5200 5248 5250 5330 5376 5460 5551 5600 5740 5824 5856 6000 6100 6144 6150 6240 6344 6396 6400 6405 6481 6500 6560 6656 6720 6825 6832 6888 7000 7168 7175 7280 7320 7462 7503 7625 7680 7800 7808 7872 7930 7995 8000 8200 8320 8400 8528 8540 8610 8736 8960 9100 9150 9184 9516 9600 9750 9760 9840 9984 10004 10240 10248 10250 10400 10496 10500 10660 10675 10752 10920 11102 11193 11200 11375 11480 11648 11712 11895 12000 12200 12300 12480 12505 12688 12792 12800 12810 12962 13000 13120 13312 13325 13440 13650 13664 13776 14000 14336 14350 14560 14640 14924 15006 15250 15360 15375 15600 15616 15744 15860 15990 16000 16400 16640 16653 16800 17056 17080 17220 17472 17507 17920 18200 18300 18368 18655 19032 19200 19443 19500 19520 19680 19825 19968 20008 20496 20500 20800 20992 21000 21320 21350 21504 21525 21840 22204 22386 22400 22750 22875 22960 23296 23424 23790 24000 24400 24600 24960 25010 25376 25584 25600 25620 25924 26000 26240 26624 26650 26880 27300 27328 27552 27755 28000 28700 29120 29280 29848 30012 30500 30720 30750 31200 31232 31488 31720 31980 32000 32025 32405 32513 32800 33280 33306 33600 34112 34125 34160 34440 34944 35014 35840 35875 36400 36600 36736 37310 37515 38064 38400 38886 39000 39040 39360 39650 39936 39975 40016 40992 41000 41600 41984 42000 42640 42700 43008 43050 43680 44408 44772 44800 45367 45500 45750 45920 46592 46848 47580 48000 48800 49200 49920 50020 50752 51168 51200 51240 51848 52000 52480 52521 53300 53375 53760 54600 54656 55104 55510 55965 56000 57400 58240 58560 59475 59696 60024 61000 61500 62400 62464 62525 62976 63440 63960 64000 64050 64810 65026 65600 66560 66612 66625 67200 68224 68250 68320 68880 69888 70028 71680 71750 72800 73200 73472 74620 75030 76128 76800 77772 78000 78080 78720 79300 79872 79950 80032 81984 82000 83200 83265 83968 84000 84253 85280 85400 86100 87360 87535 88816 89544 89600 90734 91000 91500 91840 93184 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8850103626000 9062506113024 9209863936000 9285354624000 9440110534400 10114404144000 10788697753600 10892435232000 11328132641280 11800138168000 12448497408000 13485872192000 13814795904000 14160165801600 14523246976000 15104176855040 16183046630400 17427896371200 17700207252000 18570709248000 18880221068800 20228808288000 21784870464000 22656265282560 23600276336000 26971744384000 27629591808000 28320331603200 29046493952000 32366093260800 35400414504000 37760442137600 40457616576000 43569740928000 45312530565120 47200552672000 53943488768000 56640663206400 70800829008000 75520884275200 80915233152000 87139481856000 94401105344000 113281326412800 141601658016000 161830466304000 188802210688000 226562652825600 283203316032000 377604421376000 566406632064000 1132813264128000
- Sum of all divisors σ(n): 4830660597934080
- Sum of proper divisors (its aliquot sum) s(n): 3697847333806080
- 1132813264128000 is an abundant number, because the sum of its proper divisors (3697847333806080) is greater than itself. Its abundance is 2565034069678080
Bases of 1132813264128000
- Binary: 1000000011001001001101001000011010010001000000000002
- Hexadecimal: 0x40649A4348800
- Base-36: B5JR8938QO
Squares and roots of 1132813264128000
- 1132813264128000 squared (11328132641280002) is 1283265891384333891600384000000
- 1132813264128000 cubed (11328132641280003) is 1453700623163214788306847920818225152000000000
-
The
square root of 1132813264128000 is 33657291.3961893255 -
The
cube root of 1132813264128000 is 104244.4098815501
Scales and comparisons
How big is 1132813264128000?- 1,132,813,264,128,000 seconds is equal to 36,019,957 years, 40 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 1,132,813,264,128,000 would take you about one hundred eight million, fifty-nine thousand, eight hundred seventy-three 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 1132813264128000 cubic inches would be around 8687 feet tall.
Recreational maths with 1132813264128000
- 1132813264128000 backwards is 0008214623182311
- 1132813264128000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 1132813264128000's digits is 42
- More coming soon!
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"Number 1132813264128000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 1132813264128000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/1132813264128000/
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The information we have on file for 1132813264128000 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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