13985731584000
13,985,731,584,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13985731584000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2688 divisors.
13985731584000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 13985731584000:
213 × 32 × 53 × 11 × 19 × 53 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 19 × 53 × 137)See below for interesting mathematical facts about the number 13985731584000 from the Numbermatics database.
Names of 13985731584000
- Cardinal: 13985731584000 can be written as Thirteen trillion, nine hundred eighty-five billion, seven hundred thirty-one million, five hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.3985731584 × 1013
Factors of 13985731584000
Divisors of 13985731584000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 25 30 32 33 36 38 40 44 45 48 50 53 55 57 60 64 66 72 75 76 80 88 90 95 96 99 100 106 110 114 120 125 128 132 137 144 150 152 159 160 165 171 176 180 190 192 198 200 209 212 220 225 228 240 250 256 264 265 274 275 285 288 300 304 318 320 330 342 352 360 375 380 384 396 400 411 418 424 440 450 456 475 477 480 495 500 512 528 530 548 550 570 576 583 600 608 627 636 640 660 684 685 704 720 750 760 768 792 795 800 822 825 836 848 855 880 900 912 950 954 960 990 1000 1007 1024 1045 1056 1060 1096 1100 1125 1140 1152 1166 1200 1216 1233 1254 1272 1280 1320 1325 1368 1370 1375 1408 1425 1440 1500 1507 1520 1536 1584 1590 1600 1644 1650 1672 1696 1710 1749 1760 1800 1824 1881 1900 1908 1920 1980 2000 2014 2048 2055 2090 2112 2120 2192 2200 2250 2280 2304 2332 2375 2385 2400 2432 2466 2475 2508 2544 2560 2603 2640 2650 2736 2740 2750 2816 2850 2880 2915 3000 3014 3021 3040 3072 3135 3168 3180 3200 3288 3300 3344 3392 3420 3425 3498 3520 3600 3648 3762 3800 3816 3840 3960 3975 4000 4028 4096 4110 4125 4180 4224 4240 4275 4384 4400 4500 4521 4560 4608 4664 4750 4770 4800 4864 4932 4950 5016 5035 5088 5120 5206 5225 5247 5280 5300 5472 5480 5500 5632 5700 5760 5830 6000 6028 6042 6080 6144 6165 6270 6336 6360 6400 6576 6600 6625 6688 6784 6840 6850 6996 7040 7125 7200 7261 7296 7524 7535 7600 7632 7680 7809 7920 7950 8000 8056 8192 8220 8250 8360 8448 8480 8550 8745 8768 8800 9000 9042 9063 9120 9216 9328 9405 9500 9540 9600 9728 9864 9900 10032 10070 10176 10240 10275 10412 10450 10494 10560 10600 10944 10960 11000 11077 11264 11400 11520 11660 11925 12000 12056 12084 12160 12288 12330 12375 12540 12672 12720 12800 13015 13152 13200 13250 13376 13563 13568 13680 13700 13992 14080 14250 14400 14522 14575 14592 15048 15070 15105 15200 15264 15360 15618 15675 15840 15900 16000 16112 16440 16500 16720 16896 16960 17100 17125 17490 17536 17600 18000 18084 18126 18240 18432 18656 18810 19000 19080 19200 19456 19728 19800 19875 20064 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92011392000 93238210560 97123136000 102085632000 105952512000 109263528000 111885852672 116547763200 122681856000 127143014400 131940864000 139857315840 141270016000 145684704000 147218227200 155397017600 158928768000 174821644800 184022784000 186476421120 194246272000 211905024000 218527056000 233095526400 245363712000 254286028800 263881728000 279714631680 291369408000 310794035200 317857536000 349643289600 368045568000 388492544000 423810048000 437054112000 466191052800 559429263360 582738816000 635715072000 699286579200 736091136000 776985088000 874108224000 932382105600 1165477632000 1271430144000 1398573158400 1553970176000 1748216448000 2330955264000 2797146316800 3496432896000 4661910528000 6992865792000 13985731584000
- Sum of all divisors σ(n): 59421754379520
- Sum of proper divisors (its aliquot sum) s(n): 45436022795520
- 13985731584000 is an abundant number, because the sum of its proper divisors (45436022795520) is greater than itself. Its abundance is 31450291211520
Bases of 13985731584000
- Binary: 110010111000010011101001000000100000000000002
- Hexadecimal: 0xCB84E902000
- Base-36: 4YGYFHFK0
Squares and roots of 13985731584000
- 13985731584000 squared (139857315840002) is 195600687939695149056000000
- 13985731584000 cubed (139857315840003) is 2735618719170322333484086984704000000000
-
The
square root of 13985731584000 is 3739750.2034226831 -
The
cube root of 13985731584000 is 24093.2320222739
Scales and comparisons
How big is 13985731584000?- 13,985,731,584,000 seconds is equal to 444,703 years, 1 day, 8 hours.
-
To count from 1 to 13,985,731,584,000 would take you about one million, one hundred eleven thousand, seven 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 13985731584000 cubic inches would be around 2007.8 feet tall.
Recreational maths with 13985731584000
- 13985731584000 backwards is 00048513758931
- The number of decimal digits it has is: 14
- The sum of 13985731584000's digits is 54
- More coming soon!
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Numbermatics. (2024). Number 13985731584000 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/13985731584000/
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The information we have on file for 13985731584000 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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