12814137835200
12,814,137,835,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12814137835200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2688 divisors.
12814137835200 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 12814137835200:
26 × 33 × 52 × 133 × 37 × 41 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 13 × 37 × 41 × 89)See below for interesting mathematical facts about the number 12814137835200 from the Numbermatics database.
Names of 12814137835200
- Cardinal: 12814137835200 can be written as Twelve trillion, eight hundred fourteen billion, one hundred thirty-seven million, eight hundred thirty-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.28141378352 × 1013
Factors of 12814137835200
Divisors of 12814137835200
- Number of divisors d(n): 2688
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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 37 39 40 41 45 48 50 52 54 60 64 65 72 74 75 78 80 82 89 90 96 100 104 108 111 117 120 123 130 135 144 148 150 156 160 164 169 178 180 185 192 195 200 205 208 216 222 225 234 240 246 260 267 270 288 296 300 312 320 325 328 333 338 351 356 360 369 370 390 400 410 416 432 444 445 450 468 480 481 492 507 520 533 534 540 555 576 585 592 600 615 624 650 656 666 675 676 702 712 720 738 740 780 800 801 820 832 845 864 888 890 900 925 936 960 962 975 984 999 1014 1025 1040 1066 1068 1080 1107 1110 1157 1170 1184 1200 1230 1248 1300 1312 1332 1335 1350 1352 1404 1424 1440 1443 1476 1480 1517 1521 1560 1599 1600 1602 1640 1665 1690 1728 1755 1776 1780 1800 1845 1850 1872 1924 1950 1968 1998 2028 2050 2080 2132 2136 2160 2197 2214 2220 2225 2314 2340 2368 2400 2403 2405 2460 2496 2535 2600 2624 2664 2665 2670 2700 2704 2775 2808 2848 2880 2886 2925 2952 2960 3034 3042 3075 3120 3198 3204 3280 3293 3330 3380 3471 3510 3552 3560 3600 3649 3690 3700 3744 3848 3900 3936 3996 4005 4056 4100 4160 4225 4264 4272 4320 4329 4394 4428 4440 4450 4551 4563 4628 4680 4797 4800 4806 4810 4920 4995 5070 5200 5328 5330 5340 5400 5408 5535 5550 5616 5696 5772 5785 5850 5904 5920 6068 6084 6150 6240 6253 6396 6408 6560 6586 6591 6660 6675 6760 6929 6942 7020 7104 7120 7200 7215 7298 7380 7400 7488 7585 7605 7696 7800 7872 7992 7995 8010 8112 8200 8325 8450 8528 8544 8640 8658 8775 8788 8856 8880 8900 9102 9126 9225 9256 9360 9594 9612 9620 9840 9879 9990 10140 10400 10413 10656 10660 10680 10800 10816 10947 10985 11070 11100 11232 11544 11570 11700 11808 11840 12015 12025 12136 12168 12300 12480 12506 12675 12792 12816 12987 13120 13172 13182 13320 13325 13350 13520 13653 13858 13884 14040 14240 14391 14400 14430 14596 14760 14800 15041 15170 15210 15392 15600 15984 15990 16020 16224 16400 16465 16650 16900 17056 17088 17316 17355 17550 17576 17712 17760 17800 18204 18245 18252 18450 18512 18720 18759 19188 19224 19240 19680 19721 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13853121984 14237930928 14397907680 14430335400 14831178050 15164660160 15401607975 15626997360 15997675200 16017672294 16428381840 17316402480 17363330400 17797413660 17997384600 18253757600 18955825200 18983907904 19240447200 19533746700 19714058208 20535477300 20835996480 21356896392 21645503100 21904509120 22246767075 23088536640 23729884880 23996512800 24041534400 24642572760 25274433600 26044995600 26640619200 26696120490 27380636400 28475861856 28795815360 28860670800 29662356100 30803215950 31253994720 32035344588 32856763680 34632804960 34726660800 35594827320 35994769200 36507515200 37911650400 38480894400 39067493400 39428116416 40044180735 41070954600 42713792784 43291006200 44493534150 47459769760 47993025600 49285145520 52089991200 53392240980 54761272800 56951723712 57721341600 59324712200 61606431900 62507989440 64070689176 65713527360 66740301225 69265609920 71189654640 71989538400 75823300800 78134986800 80088361470 82141909200 85427585568 86582012400 88987068300 94919539520 98570291040 104179982400 106784481960 109522545600 115442683200 118649424400 123212863800 128141378352 133480602450 142379309280 143979076800 156269973600 160176722940 164283818400 170855171136 173164024800 177974136600 197140582080 200220903675 213568963920 237298848800 246425727600 256282756704 266961204900 284758618560 312539947200 320353445880 328567636800 346328049600 355948273200 400441807350 427137927840 474597697600 492851455200 512565513408 533922409800 640706891760 711896546400 800883614700 854275855680 985702910400 1067844819600 1281413783520 1423793092800 1601767229400 2135689639200 2562827567040 3203534458800 4271379278400 6407068917600 12814137835200
- Sum of all divisors σ(n): 53836616736000
- Sum of proper divisors (its aliquot sum) s(n): 41022478900800
- 12814137835200 is an abundant number, because the sum of its proper divisors (41022478900800) is greater than itself. Its abundance is 28208341065600
Bases of 12814137835200
- Binary: 101110100111100001100010001000111110110000002
- Hexadecimal: 0xBA786223EC0
- Base-36: 4JIQETDC0
Squares and roots of 12814137835200
- 12814137835200 squared (128141378352002) is 164202128459504142359040000
- 12814137835200 cubed (128141378352003) is 2104108706913302721634101446750208000000
-
The
square root of 12814137835200 is 3579684.0412528031 -
The
cube root of 12814137835200 is 23400.7510870027
Scales and comparisons
How big is 12814137835200?- 12,814,137,835,200 seconds is equal to 407,449 years, 49 weeks, 1 day, 12 hours.
-
To count from 1 to 12,814,137,835,200 would take you about one million, eighteen thousand, six hundred twenty-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 12814137835200 cubic inches would be around 1950.1 feet tall.
Recreational maths with 12814137835200
- 12814137835200 backwards is 00253873141821
- 12814137835200 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12814137835200's digits is 45
- More coming soon!
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"Number 12814137835200 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 12814137835200 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/12814137835200/
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The information we have on file for 12814137835200 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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