13681689821184000
13,681,689,821,184,000 is an even composite number composed of six prime numbers multiplied together.
13681689821184000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, eight hundred divisors.
Prime factorization of 13681689821184000:
219 × 3 × 53 × 72 × 114 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 11 × 11 × 11 × 11 × 97)See below for interesting mathematical facts about the number 13681689821184000 from the Numbermatics database.
Names of 13681689821184000
- Cardinal: 13681689821184000 can be written as Thirteen quadrillion, six hundred eighty-one trillion, six hundred eighty-nine billion, eight hundred twenty-one million, one hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.3681689821184 × 1016
Factors of 13681689821184000
Divisors of 13681689821184000
- Number of divisors d(n): 4800
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 32 33 35 40 42 44 48 49 50 55 56 60 64 66 70 75 77 80 84 88 96 97 98 100 105 110 112 120 121 125 128 132 140 147 150 154 160 165 168 175 176 192 194 196 200 210 220 224 231 240 242 245 250 256 264 275 280 291 294 300 308 320 330 336 350 352 363 375 384 385 388 392 400 420 440 448 462 480 484 485 490 500 512 525 528 539 550 560 582 588 600 605 616 640 660 672 679 700 704 726 735 750 768 770 776 784 800 825 840 847 875 880 896 924 960 968 970 980 1000 1024 1050 1056 1067 1078 1100 1120 1155 1164 1176 1200 1210 1225 1232 1280 1320 1331 1344 1358 1375 1400 1408 1452 1455 1470 1500 1536 1540 1552 1568 1600 1617 1650 1680 1694 1750 1760 1792 1815 1848 1920 1925 1936 1940 1960 2000 2037 2048 2100 2112 2134 2156 2200 2240 2310 2328 2352 2400 2420 2425 2450 2464 2541 2560 2625 2640 2662 2688 2695 2716 2750 2800 2816 2904 2910 2940 3000 3025 3072 3080 3104 3136 3200 3201 3234 3300 3360 3388 3395 3500 3520 3584 3630 3675 3696 3840 3850 3872 3880 3920 3993 4000 4074 4096 4125 4200 4224 4235 4268 4312 4400 4480 4620 4656 4704 4753 4800 4840 4850 4900 4928 5082 5120 5250 5280 5324 5335 5376 5390 5432 5500 5600 5632 5775 5808 5820 5880 5929 6000 6050 6125 6144 6160 6208 6272 6400 6402 6468 6600 6655 6720 6776 6790 7000 7040 7168 7260 7275 7350 7392 7469 7680 7700 7744 7760 7840 7986 8000 8085 8148 8192 8250 8400 8448 8470 8536 8624 8800 8960 9075 9240 9312 9317 9408 9506 9600 9625 9680 9700 9800 9856 10164 10185 10240 10500 10560 10648 10670 10752 10780 10864 11000 11200 11264 11550 11616 11640 11737 11760 11858 12000 12100 12125 12250 12288 12320 12416 12544 12705 12800 12804 12936 13200 13310 13440 13475 13552 13580 14000 14080 14259 14336 14520 14550 14641 14700 14784 14938 15125 15360 15400 15488 15520 15680 15972 16000 16005 16170 16296 16384 16500 16800 16896 16940 16975 17072 17248 17600 17787 17920 18150 18375 18480 18624 18634 18816 19012 19200 19250 19360 19400 19600 19712 19965 20328 20370 20480 21000 21120 21175 21296 21340 21504 21560 21728 22000 22400 22407 22528 23100 23232 23280 23474 23520 23716 23765 24000 24200 24250 24500 24576 24640 24832 25088 25410 25600 25608 25872 26400 26620 26675 26880 26950 27104 27160 27951 28000 28160 28518 28672 28875 29040 29100 29282 29400 29568 29645 29876 30250 30720 30800 30976 31040 31360 31944 32000 32010 32340 32592 32768 33000 33275 33600 33792 33880 33950 34144 34496 35200 35211 35574 35840 36300 36375 36750 36960 37248 37268 37345 37632 38024 38400 38500 38720 38800 39200 39424 39930 40425 40656 40740 40960 42000 42240 42350 42592 42680 43008 43120 43456 43923 44000 44800 44814 45056 45375 46200 46464 46560 46585 46948 47040 47432 47530 48000 48400 48500 49000 49152 49280 49664 50176 50820 50925 51200 51216 51744 52283 52800 53240 53350 53760 53900 54208 54320 55902 56000 56320 57036 57344 57750 58080 58200 58564 58685 58800 59136 59290 59752 60500 61440 61600 61952 62080 62720 63525 63888 64000 64020 64680 65184 65219 65536 66000 66550 67200 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71258801152000 77736873984000 78181084692480 81438629888000 82919332249600 85510561382400 88842141696000 91211265474560 93072719872000 97726355865600 103649165312000 106888201728000 109453518569472 113071816704000 114014081843200 122157944832000 124378998374400 130301807820800 136816898211840 139609079808000 141048348672000 142517602304000 155473747968000 162877259776000 171021122764800 177684283392000 182422530949120 195452711731200 207298330624000 213776403456000 228028163686400 244315889664000 248757996748800 273633796423680 279218159616000 285035204608000 310947495936000 325754519552000 342042245529600 390905423462400 414596661248000 427552806912000 456056327372800 488631779328000 547267592847360 570070409216000 621894991872000 651509039104000 684084491059200 855105613824000 912112654745600 977263558656000 1140140818432000 1243789983744000 1368168982118400 1710211227648000 1954527117312000 2280281636864000 2736337964236800 3420422455296000 4560563273728000 6840844910592000 13681689821184000
- Sum of all divisors σ(n): 58863454974324000
- Sum of proper divisors (its aliquot sum) s(n): 45181765153140000
- 13681689821184000 is an abundant number, because the sum of its proper divisors (45181765153140000) is greater than itself. Its abundance is 31500075331956000
Bases of 13681689821184000
- Binary: 1100001001101101101100101001011011100000000000000000002
- Hexadecimal: 0x309B6CA5B80000
- Base-36: 3QPR5J8RPXC
Squares and roots of 13681689821184000
- 13681689821184000 squared (136816898211840002) is 187188636363089873895161856000000
- 13681689821184000 cubed (136816898211840003) is 2561056860770199896870418123179377557504000000000
-
The
square root of 13681689821184000 is 116968755.7477807831 -
The
cube root of 13681689821184000 is 239173.6034435341
Scales and comparisons
How big is 13681689821184000?- 13,681,689,821,184,000 seconds is equal to 435,035,416 years, 3 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 13,681,689,821,184,000 would take you about one billion, three hundred five million, one hundred six thousand, two hundred forty-eight 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 13681689821184000 cubic inches would be around 19931.1 feet tall.
Recreational maths with 13681689821184000
- 13681689821184000 backwards is 00048112898618631
- 13681689821184000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13681689821184000's digits is 66
- More coming soon!
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"Number 13681689821184000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
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Numbermatics. (2024). Number 13681689821184000 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/13681689821184000/
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The information we have on file for 13681689821184000 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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