13707468103680000
13,707,468,103,680,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13707468103680000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 6120 divisors.
13707468103680000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six thousand, one hundred twenty divisors.
Prime factorization of 13707468103680000:
216 × 35 × 54 × 132 × 29 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 13 × 13 × 29 × 281)See below for interesting mathematical facts about the number 13707468103680000 from the Numbermatics database.
Names of 13707468103680000
- Cardinal: 13707468103680000 can be written as Thirteen quadrillion, seven hundred seven trillion, four hundred sixty-eight billion, one hundred three million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 1.370746810368 × 1016
Factors of 13707468103680000
Divisors of 13707468103680000
- Number of divisors d(n): 6120
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 29 30 32 36 39 40 45 48 50 52 54 58 60 64 65 72 75 78 80 81 87 90 96 100 104 108 116 117 120 125 128 130 135 144 145 150 156 160 162 169 174 180 192 195 200 208 216 225 232 234 240 243 250 256 260 261 270 281 288 290 300 312 320 324 325 338 348 351 360 375 377 384 390 400 405 416 432 435 450 464 468 480 486 500 507 512 520 522 540 562 576 580 585 600 624 625 640 648 650 675 676 696 702 720 725 750 754 768 780 783 800 810 832 843 845 864 870 900 928 936 960 972 975 1000 1014 1024 1040 1044 1053 1080 1124 1125 1131 1152 1160 1170 1200 1215 1248 1250 1280 1296 1300 1305 1350 1352 1392 1404 1405 1440 1450 1500 1508 1521 1536 1560 1566 1600 1620 1625 1664 1686 1690 1728 1740 1755 1800 1856 1872 1875 1885 1920 1944 1950 2000 2025 2028 2048 2080 2088 2106 2160 2175 2248 2250 2262 2304 2320 2340 2349 2400 2430 2496 2500 2529 2535 2560 2592 2600 2610 2700 2704 2784 2808 2810 2880 2900 2925 3000 3016 3042 3072 3120 3132 3159 3200 3240 3250 3328 3372 3375 3380 3393 3456 3480 3510 3600 3625 3653 3712 3744 3750 3770 3840 3888 3900 3915 4000 4050 4056 4096 4160 4176 4212 4215 4225 4320 4350 4496 4500 4524 4563 4608 4640 4680 4698 4800 4860 4875 4901 4992 5000 5058 5070 5120 5184 5200 5220 5265 5400 5408 5568 5616 5620 5625 5655 5760 5800 5850 6000 6032 6075 6084 6144 6240 6264 6318 6400 6480 6500 6525 6656 6744 6750 6760 6786 6912 6960 7020 7025 7047 7200 7250 7306 7424 7488 7500 7540 7587 7605 7680 7776 7800 7830 8000 8100 8112 8125 8149 8192 8320 8352 8424 8430 8450 8640 8700 8775 8992 9000 9048 9126 9216 9280 9360 9396 9425 9600 9720 9750 9802 9984 10000 10116 10125 10140 10179 10240 10368 10400 10440 10530 10800 10816 10875 10959 11136 11232 11240 11250 11310 11520 11600 11700 11745 12000 12064 12150 12168 12288 12480 12528 12636 12645 12675 12800 12960 13000 13050 13312 13488 13500 13520 13572 13689 13824 13920 14040 14050 14094 14400 14500 14612 14625 14703 14848 14976 15000 15080 15174 15210 15360 15552 15600 15660 15795 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- Sum of all divisors σ(n): 57687335927741520
- Sum of proper divisors (its aliquot sum) s(n): 43979867824061520
- 13707468103680000 is an abundant number, because the sum of its proper divisors (43979867824061520) is greater than itself. Its abundance is 30272399720381520
Bases of 13707468103680000
- Binary: 1100001011001011011110100111110001011100000000000000002
- Hexadecimal: 0x30B2DE9F170000
- Base-36: 3QYW3WWLC00
Squares and roots of 13707468103680000
- 13707468103680000 squared (137074681036800002) is 187894681813404575229542400000000
- 13707468103680000 cubed (137074681036800003) is 2575560357808345796426331462442156032000000000000
-
The
square root of 13707468103680000 is 117078896.9186163797 -
The
cube root of 13707468103680000 is 239323.7217554819
Scales and comparisons
How big is 13707468103680000?- 13,707,468,103,680,000 seconds is equal to 435,855,085 years, 37 weeks, 1 day.
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To count from 1 to 13,707,468,103,680,000 would take you about one billion, three hundred seven million, five hundred sixty-five thousand, two hundred fifty-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 13707468103680000 cubic inches would be around 19943.6 feet tall.
Recreational maths with 13707468103680000
- 13707468103680000 backwards is 00008630186470731
- 13707468103680000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13707468103680000's digits is 54
- More coming soon!
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The information we have on file for 13707468103680000 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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