13742919652800000000
13,742,919,652,800,000,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13742919652800000000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 12636 divisors.
13742919652800000000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of twelve thousand, six hundred thirty-six divisors.
Prime factorization of 13742919652800000000:
212 × 3 × 58 × 132 × 172 × 312 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 13 × 13 × 17 × 17 × 31 × 31 × 61)See below for interesting mathematical facts about the number 13742919652800000000 from the Numbermatics database.
Names of 13742919652800000000
- Cardinal: 13742919652800000000 can be written as Thirteen quintillion, seven hundred forty-two quadrillion, nine hundred nineteen trillion, six hundred fifty-two billion, eight hundred million.
Scientific notation
- Scientific notation: 1.37429196528 × 1019
Factors of 13742919652800000000
Divisors of 13742919652800000000
- Number of divisors d(n): 12636
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 31 32 34 39 40 48 50 51 52 60 61 62 64 65 68 75 78 80 85 93 96 100 102 104 120 122 124 125 128 130 136 150 155 156 160 169 170 183 186 192 195 200 204 208 221 240 244 248 250 255 256 260 272 289 300 305 310 312 320 325 338 340 366 372 375 384 390 400 403 408 416 425 442 465 480 488 496 500 507 510 512 520 527 544 578 600 610 620 624 625 640 650 663 676 680 732 744 750 768 775 780 793 800 806 816 832 845 850 867 884 915 930 960 961 975 976 992 1000 1014 1020 1024 1037 1040 1054 1088 1105 1156 1200 1209 1220 1240 1248 1250 1275 1280 1300 1326 1352 1360 1445 1464 1488 1500 1525 1536 1550 1560 1581 1586 1600 1612 1625 1632 1664 1690 1700 1734 1768 1830 1860 1875 1891 1920 1922 1950 1952 1984 2000 2015 2028 2040 2048 2074 2080 2108 2125 2176 2210 2312 2325 2379 2400 2418 2440 2480 2496 2500 2535 2550 2560 2600 2635 2652 2704 2720 2873 2883 2890 2928 2976 3000 3050 3072 3100 3111 3120 3125 3162 3172 3200 3224 3250 3264 3315 3328 3380 3400 3468 3536 3660 3720 3750 3757 3782 3840 3844 3875 3900 3904 3965 3968 4000 4030 4056 4080 4096 4148 4160 4216 4225 4250 4335 4352 4420 4575 4624 4650 4758 4800 4805 4836 4875 4880 4960 4992 5000 5070 5100 5120 5185 5200 5239 5270 5304 5408 5440 5525 5673 5746 5766 5780 5856 5952 6000 6045 6100 6144 6200 6222 6240 6250 6324 6344 6375 6400 6448 6500 6528 6630 6656 6760 6800 6851 6936 7072 7225 7320 7440 7500 7514 7564 7625 7680 7688 7750 7800 7808 7905 7930 7936 8000 8060 8112 8125 8160 8296 8320 8432 8450 8500 8619 8670 8704 8840 8959 9150 9248 9300 9375 9455 9516 9600 9610 9672 9750 9760 9920 9984 10000 10075 10140 10200 10240 10309 10370 10400 10478 10540 10608 10625 10816 10880 11050 11271 11346 11492 11532 11560 11625 11712 11895 11904 12000 12090 12200 12288 12400 12444 12480 12493 12500 12648 12675 12688 12750 12800 12896 13000 13056 13175 13260 13312 13481 13520 13600 13702 13872 14144 14365 14415 14450 14640 14880 15000 15028 15128 15250 15360 15376 15500 15555 15600 15616 15625 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549716786112000000 572621652200000000 687145982640000000 808407038400000000 858932478300000000 916194643520000000 1057147665600000000 1145243304400000000 1374291965280000000 1717864956600000000 2290486608800000000 2748583930560000000 3435729913200000000 4580973217600000000 6871459826400000000 13742919652800000000
- Sum of all divisors σ(n): 55334647258853129064
- Sum of proper divisors (its aliquot sum) s(n): 41591727606053129064
- 13742919652800000000 is an abundant number, because the sum of its proper divisors (41591727606053129064) is greater than itself. Its abundance is 27848807953253129064
Bases of 13742919652800000000
- Binary: 10111110101110001010100010011100011100011110000011110000000000002
- Hexadecimal: 0xBEB8A89C71E0F000
- Base-36: 2WEUAFMVARMDC
Squares and roots of 13742919652800000000
- 13742919652800000000 squared (137429196528000000002) is 188867840583316472547840000000000000000
- 13742919652800000000 cubed (137429196528000000003) is 2595595558134357366379682024189952000000000000000000000000
-
The
square root of 13742919652800000000 is 3707144406.7907578613 -
The
cube root of 13742919652800000000 is 2395298.6468238749
Scales and comparisons
How big is 13742919652800000000?- 13,742,919,652,800,000,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,742,919,652,800,000,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13742919652800000000 cubic inches would be around 199608.2 feet tall.
Recreational maths with 13742919652800000000
- 13742919652800000000 backwards is 00000000825691924731
- The number of decimal digits it has is: 20
- The sum of 13742919652800000000's digits is 57
- More coming soon!
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"Number 13742919652800000000 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 13742919652800000000 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/13742919652800000000/
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The information we have on file for 13742919652800000000 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 13742919652800000000, math, Factors of 13742919652800000000, curriculum, school, college, exams, university, Prime factorization of 13742919652800000000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, seven hundred forty-two quadrillion, nine hundred nineteen trillion, six hundred fifty-two billion, eight hundred million.