13973689147392000
13,973,689,147,392,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13973689147392000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3060 divisors.
13973689147392000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand and sixty divisors.
Prime factorization of 13973689147392000:
216 × 34 × 53 × 132 × 3532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 353 × 353)See below for interesting mathematical facts about the number 13973689147392000 from the Numbermatics database.
Names of 13973689147392000
- Cardinal: 13973689147392000 can be written as Thirteen quadrillion, nine hundred seventy-three trillion, six hundred eighty-nine billion, one hundred forty-seven million, three hundred ninety-two thousand.
Scientific notation
- Scientific notation: 1.3973689147392 × 1016
Factors of 13973689147392000
Divisors of 13973689147392000
- Number of divisors d(n): 3060
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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 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 81 90 96 100 104 108 117 120 125 128 130 135 144 150 156 160 162 169 180 192 195 200 208 216 225 234 240 250 256 260 270 288 300 312 320 324 325 338 351 353 360 375 384 390 400 405 416 432 450 468 480 500 507 512 520 540 576 585 600 624 640 648 650 675 676 702 706 720 750 768 780 800 810 832 845 864 900 936 960 975 1000 1014 1024 1040 1053 1059 1080 1125 1152 1170 1200 1248 1280 1296 1300 1350 1352 1404 1412 1440 1500 1521 1536 1560 1600 1620 1625 1664 1690 1728 1755 1765 1800 1872 1920 1950 2000 2025 2028 2048 2080 2106 2118 2160 2250 2304 2340 2400 2496 2535 2560 2592 2600 2700 2704 2808 2824 2880 2925 3000 3042 3072 3120 3177 3200 3240 3250 3328 3375 3380 3456 3510 3530 3600 3744 3840 3900 4000 4050 4056 4096 4160 4212 4225 4236 4320 4500 4563 4589 4608 4680 4800 4875 4992 5070 5120 5184 5200 5265 5295 5400 5408 5616 5648 5760 5850 6000 6084 6144 6240 6354 6400 6480 6500 6656 6750 6760 6912 7020 7060 7200 7488 7605 7680 7800 8000 8100 8112 8192 8320 8424 8450 8472 8640 8775 8825 9000 9126 9178 9216 9360 9531 9600 9750 9984 10125 10140 10240 10368 10400 10530 10590 10800 10816 11232 11296 11520 11700 12000 12168 12288 12480 12675 12708 12800 12960 13000 13312 13500 13520 13689 13767 13824 14040 14120 14400 14625 14976 15210 15360 15600 15885 16000 16200 16224 16384 16640 16848 16900 16944 17280 17550 17650 18000 18252 18356 18432 18720 19062 19200 19500 19968 20250 20280 20480 20736 20800 21060 21125 21180 21600 21632 22464 22592 22815 22945 23040 23400 24000 24336 24576 24960 25350 25416 25600 25920 26000 26325 26475 26624 27000 27040 27378 27534 27648 28080 28240 28593 28800 29250 29952 30420 30720 31200 31770 32000 32400 32448 32768 33280 33696 33800 33888 34560 35100 35300 36000 36504 36712 36864 37440 38025 38124 38400 39000 39936 40500 40560 40960 41301 41472 41600 42120 42250 42360 43200 43264 43875 44125 44928 45184 45630 45890 46080 46800 47655 48000 48672 49152 49920 50700 50832 51200 51840 52000 52650 52950 53248 54000 54080 54756 55068 55296 56160 56480 57186 57600 58500 59657 59904 60840 61440 62400 63375 63540 64000 64800 64896 65536 66560 67392 67600 67776 68445 68835 69120 70200 70600 72000 73008 73424 73728 74880 76050 76248 76800 78000 79425 79872 81000 81120 81920 82602 82944 83200 84240 84500 84720 86400 86528 87750 88250 89856 90368 91260 91780 92160 93600 95310 96000 97344 98304 99840 101400 101664 102400 103680 104000 105300 105900 106496 108000 108160 109512 110136 110592 112320 112960 114075 114372 114725 115200 117000 119314 119808 121680 122880 123903 124609 124800 126750 127080 128000 129600 129792 131625 132375 133120 134784 135200 135552 136890 137670 138240 140400 141200 142965 144000 146016 146848 147456 149760 152100 152496 153600 156000 158850 159744 162000 162240 163840 165204 165888 166400 168480 169000 169440 172800 173056 175500 176500 178971 179712 180736 182520 183560 184320 187200 190125 190620 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436677785856000 465789638246400 517544042496000 537449582592000 558947565895680 582237047808000 698684457369600 776316063744000 873355571712000 931579276492800 1074899165184000 1164474095616000 1397368914739200 1552632127488000 1746711143424000 2328948191232000 2794737829478400 3493422286848000 4657896382464000 6986844573696000 13973689147392000
- Sum of all divisors σ(n): 56578198378156884
- Sum of proper divisors (its aliquot sum) s(n): 42604509230764884
- 13973689147392000 is an abundant number, because the sum of its proper divisors (42604509230764884) is greater than itself. Its abundance is 28630820083372884
Bases of 13973689147392000
- Binary: 1100011010010011111111000010011101010100000000000000002
- Hexadecimal: 0x31A4FF09D50000
- Base-36: 3TL9C68E800
Squares and roots of 13973689147392000
- 13973689147392000 squared (139736891473920002) is 195263988387940959900401664000000
- 13973689147392000 cubed (139736891473920003) is 2728558275413048100485077789458498060288000000000
-
The
square root of 13973689147392000 is 118210359.7295600823 -
The
cube root of 13973689147392000 is 240863.1486452767
Scales and comparisons
How big is 13973689147392000?- 13,973,689,147,392,000 seconds is equal to 444,320,091 years, 22 weeks, 2 days.
-
To count from 1 to 13,973,689,147,392,000 would take you about one billion, three hundred thirty-two million, nine hundred sixty thousand, two hundred seventy-four 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 13973689147392000 cubic inches would be around 20071.9 feet tall.
Recreational maths with 13973689147392000
- 13973689147392000 backwards is 00029374198637931
- 13973689147392000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13973689147392000's digits is 72
- More coming soon!
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"Number 13973689147392000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 13973689147392000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/13973689147392000/
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The information we have on file for 13973689147392000 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 13973689147392000, math, Factors of 13973689147392000, curriculum, school, college, exams, university, Prime factorization of 13973689147392000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, nine hundred seventy-three trillion, six hundred eighty-nine billion, one hundred forty-seven million, three hundred ninety-two thousand.