14946513813504000
14,946,513,813,504,000 is an even composite number composed of seven prime numbers multiplied together.
14946513813504000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five thousand, four hundred seventy-two divisors.
Prime factorization of 14946513813504000:
218 × 32 × 53 × 7 × 13 × 17 × 1812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 17 × 181 × 181)See below for interesting mathematical facts about the number 14946513813504000 from the Numbermatics database.
Names of 14946513813504000
- Cardinal: 14946513813504000 can be written as Fourteen quadrillion, nine hundred forty-six trillion, five hundred thirteen billion, eight hundred thirteen million, five hundred four thousand.
Scientific notation
- Scientific notation: 1.4946513813504 × 1016
Factors of 14946513813504000
Divisors of 14946513813504000
- Number of divisors d(n): 5472
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 20 21 24 25 26 28 30 32 34 35 36 39 40 42 45 48 50 51 52 56 60 63 64 65 68 70 72 75 78 80 84 85 90 91 96 100 102 104 105 112 117 119 120 125 126 128 130 136 140 144 150 153 156 160 168 170 175 180 181 182 192 195 200 204 208 210 221 224 225 234 238 240 250 252 255 256 260 272 273 280 288 300 306 312 315 320 325 336 340 350 357 360 362 364 375 384 390 400 408 416 420 425 442 448 450 455 468 476 480 500 504 510 512 520 525 543 544 546 560 576 585 595 600 612 624 630 640 650 663 672 680 700 714 720 724 728 750 765 768 780 800 816 819 832 840 850 875 884 896 900 905 910 936 952 960 975 1000 1008 1020 1024 1040 1050 1071 1086 1088 1092 1105 1120 1125 1152 1170 1190 1200 1224 1248 1260 1267 1275 1280 1300 1326 1344 1360 1365 1400 1428 1440 1448 1456 1500 1530 1536 1547 1560 1575 1600 1625 1629 1632 1638 1664 1680 1700 1750 1768 1785 1792 1800 1810 1820 1872 1904 1920 1950 1989 2000 2016 2040 2048 2080 2100 2125 2142 2172 2176 2184 2210 2240 2250 2275 2304 2340 2353 2380 2400 2448 2496 2520 2534 2550 2560 2600 2625 2652 2688 2715 2720 2730 2800 2856 2880 2896 2912 2925 2975 3000 3060 3072 3077 3094 3120 3150 3200 3250 3258 3264 3276 3315 3328 3360 3400 3500 3536 3570 3584 3600 3620 3640 3744 3801 3808 3825 3840 3900 3978 4000 4032 4080 4095 4096 4160 4200 4250 4284 4344 4352 4368 4420 4480 4500 4525 4550 4608 4641 4680 4706 4760 4800 4875 4896 4992 5040 5068 5100 5120 5200 5250 5304 5355 5376 5430 5440 5460 5525 5600 5712 5760 5792 5824 5850 5950 6000 6120 6144 6154 6188 6240 6300 6335 6375 6400 6500 6516 6528 6552 6630 6656 6720 6800 6825 7000 7059 7072 7140 7168 7200 7240 7280 7488 7602 7616 7650 7680 7735 7800 7875 7956 8000 8064 8145 8160 8190 8192 8320 8400 8500 8568 8688 8704 8736 8840 8925 8960 9000 9050 9100 9216 9231 9282 9360 9412 9520 9600 9750 9792 9945 9984 10080 10136 10200 10240 10400 10500 10608 10710 10752 10860 10880 10920 11050 11200 11375 11403 11424 11520 11584 11648 11700 11765 11900 12000 12240 12288 12308 12376 12480 12600 12670 12750 12800 13000 13032 13056 13104 13260 13312 13440 13575 13600 13650 13923 14000 14118 14144 14280 14336 14400 14480 14560 14625 14875 14976 15204 15232 15300 15360 15385 15470 15600 15750 15912 16000 16128 16290 16320 16380 16384 16471 16575 16640 16800 17000 17136 17376 17408 17472 17680 17850 17920 18000 18100 18200 18432 18462 18564 18720 18824 19005 19040 19125 19200 19500 19584 19890 19968 20160 20272 20400 20475 20480 20800 21000 21177 21216 21420 21504 21539 21720 21760 21840 22100 22400 22625 22750 22806 22848 23040 23168 23205 23296 23400 23530 23800 24000 24480 24576 24616 24752 24960 25200 25340 25500 25600 26000 26064 26112 26208 26520 26624 26775 26880 27150 27200 27300 27625 27693 27846 28000 28236 28288 28560 28672 28800 28960 29120 29250 29750 29952 30408 30464 30600 30720 30770 30940 31200 31500 31675 31824 32000 32256 32580 32640 32760 32761 32768 32942 33150 33280 33600 34000 34125 34272 34752 34816 34944 35295 35360 35700 35840 36000 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51897617408000 53380406476800 54749134848000 54950418432000 57486591590400 58384819584000 58613779660800 59311562752000 59786055254016 62277140889600 62800478208000 63873990656000 66428950282240 66725508096000 67631284224000 71173875302400 71858239488000 73267224576000 74732569067520 76648788787200 77846426112000 82123702272000 82577424384000 83036187852800 85408650362880 87920669491200 88967344128000 93415711334400 95810985984000 97689632768000 99643425423360 103795234816000 106760812953600 109900836864000 114973183180800 116769639168000 118623125504000 119572110508032 124554281779200 125600956416000 127747981312000 133451016192000 142347750604800 143716478976000 146534449152000 149465138135040 155692852224000 164247404544000 166072375705600 175841338982400 177934688256000 186831422668800 191621971968000 199286850846720 207590469632000 213521625907200 219801673728000 229946366361600 233539278336000 237246251008000 249108563558400 266902032384000 287432957952000 293068898304000 298930276270080 311385704448000 332144751411200 355869376512000 373662845337600 383243943936000 415180939264000 427043251814400 439603347456000 467078556672000 498217127116800 533804064768000 574865915904000 597860552540160 622771408896000 711738753024000 747325690675200 830361878528000 879206694912000 934157113344000 996434254233600 1067608129536000 1149731831808000 1245542817792000 1494651381350400 1660723757056000 1868314226688000 2135216259072000 2491085635584000 2989302762700800 3736628453376000 4982171271168000 7473256906752000 14946513813504000
- Sum of all divisors σ(n): 70613983859223168
- Sum of proper divisors (its aliquot sum) s(n): 55667470045719168
- 14946513813504000 is an abundant number, because the sum of its proper divisors (55667470045719168) is greater than itself. Its abundance is 40720956232215168
Bases of 14946513813504000
- Binary: 1101010001100111000110011011100111110000000000000000002
- Hexadecimal: 0x3519C66E7C0000
- Base-36: 4363HNL0CG0
Squares and roots of 14946513813504000
- 14946513813504000 squared (149465138135040002) is 223398275177265884892758016000000
- 14946513813504000 cubed (149465138135040003) is 3339025405849972302812617715796425048064000000000
-
The
square root of 14946513813504000 is 122255935.6984518769 -
The
cube root of 14946513813504000 is 246327.7288240109
Scales and comparisons
How big is 14946513813504000?- 14,946,513,813,504,000 seconds is equal to 475,252,906 years, 34 weeks, 4 days, 16 hours.
-
To count from 1 to 14,946,513,813,504,000 would take you about one billion, four hundred twenty-five million, seven hundred fifty-eight thousand, seven 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 14946513813504000 cubic inches would be around 20527.3 feet tall.
Recreational maths with 14946513813504000
- 14946513813504000 backwards is 00040531831564941
- The number of decimal digits it has is: 17
- The sum of 14946513813504000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 14946513813504000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
APA style:
Numbermatics. (2024). Number 14946513813504000 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/14946513813504000/
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Numbermatics. 2024. "Number 14946513813504000 - Facts about the integer". https://numbermatics.com/n/14946513813504000/
The information we have on file for 14946513813504000 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 14946513813504000, math, Factors of 14946513813504000, curriculum, school, college, exams, university, Prime factorization of 14946513813504000, STEM, science, technology, engineering, physics, economics, calculator, fourteen quadrillion, nine hundred forty-six trillion, five hundred thirteen billion, eight hundred thirteen million, five hundred four thousand.