13884175681728000
13,884,175,681,728,000 is an even composite number composed of six prime numbers multiplied together.
13884175681728000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 13884175681728000:
29 × 3 × 53 × 113 × 193 × 892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 19 × 19 × 19 × 89 × 89)See below for interesting mathematical facts about the number 13884175681728000 from the Numbermatics database.
Names of 13884175681728000
- Cardinal: 13884175681728000 can be written as Thirteen quadrillion, eight hundred eighty-four trillion, one hundred seventy-five billion, six hundred eighty-one million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.3884175681728 × 1016
Factors of 13884175681728000
Divisors of 13884175681728000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 25 30 32 33 38 40 44 48 50 55 57 60 64 66 75 76 80 88 89 95 96 100 110 114 120 121 125 128 132 150 152 160 165 176 178 190 192 200 209 220 228 240 242 250 256 264 267 275 285 300 304 320 330 352 356 361 363 375 380 384 400 418 440 445 456 475 480 484 500 512 528 534 550 570 600 605 608 627 640 660 704 712 722 726 750 760 768 800 825 836 880 890 912 950 960 968 979 1000 1045 1056 1068 1083 1100 1140 1200 1210 1216 1254 1280 1320 1331 1335 1375 1408 1424 1425 1444 1452 1500 1520 1536 1600 1650 1672 1691 1760 1780 1805 1815 1824 1900 1920 1936 1958 2000 2090 2112 2136 2166 2200 2225 2280 2299 2375 2400 2420 2432 2508 2560 2640 2662 2670 2750 2816 2848 2850 2888 2904 2937 3000 3025 3040 3135 3200 3300 3344 3382 3520 3560 3610 3630 3648 3800 3840 3872 3916 3971 3993 4000 4125 4180 4224 4272 4332 4400 4450 4560 4598 4750 4800 4840 4864 4895 5016 5073 5225 5280 5324 5340 5415 5500 5632 5696 5700 5776 5808 5874 6000 6050 6080 6270 6400 6600 6655 6675 6688 6764 6859 6897 7040 7120 7125 7220 7260 7296 7600 7680 7744 7832 7921 7942 7986 8000 8250 8360 8448 8455 8544 8664 8800 8900 9025 9075 9120 9196 9500 9600 9680 9728 9790 10032 10146 10450 10560 10648 10680 10769 10830 11000 11125 11392 11400 11495 11552 11616 11748 11913 12000 12100 12160 12540 12800 13200 13310 13350 13376 13528 13718 13794 14080 14240 14250 14440 14520 14592 14685 15125 15200 15488 15664 15675 15842 15884 15972 16000 16500 16720 16896 16910 17088 17328 17600 17800 18050 18150 18240 18392 18601 19000 19200 19360 19580 19855 19965 20064 20292 20577 20900 21120 21296 21360 21538 21660 22000 22250 22784 22800 22990 23104 23232 23496 23763 23826 24000 24200 24320 24475 25080 25289 25365 26125 26400 26620 26700 26752 27056 27075 27436 27588 28160 28480 28500 28880 29040 29184 29370 30250 30400 30976 31328 31350 31684 31768 31944 32000 32129 32307 33000 33275 33375 33440 33820 34176 34295 34485 34656 35200 35600 36100 36300 36480 36784 37202 38000 38400 38720 39160 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78000986976000 78887361828000 84146519283200 86776098010800 91343261064000 92561171211520 105183149104000 108470122513500 111073405453824 114745253568000 115701464014400 121791014752000 126219778924800 138841756817280 144626830018000 146149217702400 156001973952000 157774723656000 173552196021600 182686522128000 185122342423040 210366298208000 216940245027000 231402928028800 243582029504000 252439557849600 277683513634560 289253660036000 315549447312000 347104392043200 365373044256000 420732596416000 433880490054000 462805856057600 555367027269120 578507320072000 631098894624000 694208784086400 730746088512000 867760980108000 925611712115200 1157014640144000 1262197789248000 1388417568172800 1735521960216000 2314029280288000 2776835136345600 3471043920432000 4628058560576000 6942087840864000 13884175681728000
- Sum of all divisors σ(n): 54203408586961920
- Sum of proper divisors (its aliquot sum) s(n): 40319232905233920
- 13884175681728000 is an abundant number, because the sum of its proper divisors (40319232905233920) is greater than itself. Its abundance is 26435057223505920
Bases of 13884175681728000
- Binary: 1100010101001110010101100011111000001000101110000000002
- Hexadecimal: 0x3153958F822E00
- Base-36: 3SPJ2963VUO
Squares and roots of 13884175681728000
- 13884175681728000 squared (138841756817280002) is 192770334361087173553065984000000
- 13884175681728000 cubed (138841756817280003) is 2676457188494782011181376560387767140352000000000
-
The
square root of 13884175681728000 is 117831132.0565494695 -
The
cube root of 13884175681728000 is 240347.7348242727
Scales and comparisons
How big is 13884175681728000?- 13,884,175,681,728,000 seconds is equal to 441,473,840 years, 5 weeks, 2 days, 18 hours, 40 minutes.
-
To count from 1 to 13,884,175,681,728,000 would take you about one billion, three hundred twenty-four million, four hundred twenty-one thousand, five hundred twenty 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 13884175681728000 cubic inches would be around 20029 feet tall.
Recreational maths with 13884175681728000
- 13884175681728000 backwards is 00082718657148831
- The number of decimal digits it has is: 17
- The sum of 13884175681728000's digits is 69
- More coming soon!
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Cite this page
MLA style:
"Number 13884175681728000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
APA style:
Numbermatics. (2024). Number 13884175681728000 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/13884175681728000/
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Numbermatics. 2024. "Number 13884175681728000 - Facts about the integer". https://numbermatics.com/n/13884175681728000/
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