13908358696960000
13,908,358,696,960,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13908358696960000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 5120 divisors.
13908358696960000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand, one hundred twenty divisors.
Prime factorization of 13908358696960000:
215 × 54 × 73 × 13 × 173 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 17 × 17 × 17 × 31)See below for interesting mathematical facts about the number 13908358696960000 from the Numbermatics database.
Names of 13908358696960000
- Cardinal: 13908358696960000 can be written as Thirteen quadrillion, nine hundred eight trillion, three hundred fifty-eight billion, six hundred ninety-six million, nine hundred sixty thousand.
Scientific notation
- Scientific notation: 1.390835869696 × 1016
Factors of 13908358696960000
Divisors of 13908358696960000
- Number of divisors d(n): 5120
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 31 32 34 35 40 49 50 52 56 62 64 65 68 70 80 85 91 98 100 104 112 119 124 125 128 130 136 140 155 160 170 175 182 196 200 208 217 221 224 238 245 248 250 256 260 272 280 289 310 320 325 340 343 350 364 392 400 403 416 425 434 442 448 455 476 490 496 500 512 520 527 544 560 578 595 620 625 637 640 650 680 686 700 728 775 784 800 806 832 833 850 868 875 884 896 910 952 980 992 1000 1024 1040 1054 1085 1088 1105 1120 1156 1190 1225 1240 1250 1274 1280 1300 1360 1372 1400 1445 1456 1519 1547 1550 1568 1600 1612 1625 1664 1666 1700 1715 1736 1750 1768 1792 1820 1904 1960 1984 2000 2015 2023 2048 2080 2108 2125 2170 2176 2210 2240 2275 2312 2380 2450 2480 2500 2548 2560 2600 2635 2720 2744 2800 2821 2890 2912 2975 3038 3094 3100 3136 3185 3200 3224 3250 3328 3332 3400 3430 3472 3500 3536 3584 3640 3689 3757 3808 3875 3920 3968 4000 4030 4046 4096 4160 4165 4216 4250 4340 4352 4375 4420 4459 4480 4550 4624 4760 4900 4913 4960 5000 5096 5120 5200 5270 5425 5440 5488 5525 5600 5642 5780 5824 5831 5950 6076 6125 6188 6200 6272 6370 6400 6448 6500 6656 6664 6800 6851 6860 6944 7000 7072 7168 7225 7280 7378 7514 7595 7616 7735 7750 7840 7936 8000 8060 8092 8125 8192 8320 8330 8432 8500 8575 8680 8704 8750 8840 8918 8959 8960 9100 9248 9520 9800 9826 9920 10000 10075 10115 10192 10240 10400 10540 10625 10633 10829 10850 10880 10976 11050 11200 11284 11375 11560 11648 11662 11900 12152 12250 12376 12400 12544 12740 12800 12896 13000 13175 13312 13328 13600 13702 13720 13888 14000 14105 14144 14161 14336 14450 14560 14756 14875 15028 15190 15232 15470 15500 15680 15872 15925 16000 16120 16184 16250 16384 16640 16660 16864 17000 17150 17360 17408 17500 17680 17836 17918 17920 18200 18445 18496 18785 19040 19375 19600 19652 19747 19840 20000 20150 20230 20384 20480 20800 20825 21080 21250 21266 21658 21700 21760 21952 22100 22295 22400 22568 22750 23120 23296 23324 23800 24304 24500 24565 24752 24800 25088 25480 25600 25792 25823 26000 26299 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1986908385280000 2781671739392000 3477089674240000 6954179348480000 13908358696960000
- Sum of all divisors σ(n): 47877652247040000
- Sum of proper divisors (its aliquot sum) s(n): 33969293550080000
- 13908358696960000 is an abundant number, because the sum of its proper divisors (33969293550080000) is greater than itself. Its abundance is 20060934853120000
Bases of 13908358696960000
- Binary: 1100010110100110010100000110111000101010000000000000002
- Hexadecimal: 0x3169941B8A8000
- Base-36: 3SY3NS0ZN5S
Squares and roots of 13908358696960000
- 13908358696960000 squared (139083586969600002) is 193442441643302869113241600000000
- 13908358696960000 cubed (139083586969600003) is 2690466865590808733770474370457665536000000000000
-
The
square root of 13908358696960000 is 117933704.6690215697 -
The
cube root of 13908358696960000 is 240487.1972297283
Scales and comparisons
How big is 13908358696960000?- 13,908,358,696,960,000 seconds is equal to 442,242,785 years, 9 weeks, 4 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 13,908,358,696,960,000 would take you about one billion, three hundred twenty-six million, seven hundred twenty-eight thousand, three hundred fifty-five 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 13908358696960000 cubic inches would be around 20040.6 feet tall.
Recreational maths with 13908358696960000
- 13908358696960000 backwards is 00006969685380931
- The number of decimal digits it has is: 17
- The sum of 13908358696960000's digits is 73
- More coming soon!
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"Number 13908358696960000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 13908358696960000 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/13908358696960000/
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Numbermatics. 2024. "Number 13908358696960000 - Facts about the integer". https://numbermatics.com/n/13908358696960000/
The information we have on file for 13908358696960000 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 13908358696960000, math, Factors of 13908358696960000, curriculum, school, college, exams, university, Prime factorization of 13908358696960000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, nine hundred eight trillion, three hundred fifty-eight billion, six hundred ninety-six million, nine hundred sixty thousand.