131104088731728000
131,104,088,731,728,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 131104088731728000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1792 divisors.
131104088731728000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 131104088731728000:
27 × 36 × 53 × 7 × 11713
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 1171 × 1171 × 1171)See below for interesting mathematical facts about the number 131104088731728000 from the Numbermatics database.
Names of 131104088731728000
- Cardinal: 131104088731728000 can be written as One hundred thirty-one quadrillion, one hundred four trillion, eighty-eight billion, seven hundred thirty-one million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.31104088731728 × 1017
Factors of 131104088731728000
Divisors of 131104088731728000
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 81 84 90 96 100 105 108 112 120 125 126 128 135 140 144 150 160 162 168 175 180 189 192 200 210 216 224 225 240 243 250 252 270 280 288 300 315 320 324 336 350 360 375 378 384 400 405 420 432 448 450 480 486 500 504 525 540 560 567 576 600 630 640 648 672 675 700 720 729 750 756 800 810 840 864 875 896 900 945 960 972 1000 1008 1050 1080 1120 1125 1134 1152 1171 1200 1215 1260 1296 1344 1350 1400 1440 1458 1500 1512 1575 1600 1620 1680 1701 1728 1750 1800 1890 1920 1944 2000 2016 2025 2100 2160 2240 2250 2268 2342 2400 2430 2520 2592 2625 2688 2700 2800 2835 2880 2916 3000 3024 3150 3200 3240 3360 3375 3402 3456 3500 3513 3600 3645 3780 3888 4000 4032 4050 4200 4320 4480 4500 4536 4684 4725 4800 4860 5040 5103 5184 5250 5400 5600 5670 5760 5832 5855 6000 6048 6075 6300 6480 6720 6750 6804 7000 7026 7200 7290 7560 7776 7875 8000 8064 8100 8197 8400 8505 8640 9000 9072 9368 9450 9600 9720 10080 10125 10206 10368 10500 10539 10800 11200 11340 11664 11710 12000 12096 12150 12600 12960 13440 13500 13608 14000 14052 14175 14400 14580 15120 15552 15750 16000 16200 16394 16800 17010 17280 17565 18000 18144 18225 18736 18900 19440 20160 20250 20412 21000 21078 21600 22400 22680 23328 23420 23625 24000 24192 24300 24591 25200 25515 25920 27000 27216 28000 28104 28350 28800 29160 29275 30240 30375 31104 31500 31617 32400 32788 33600 34020 35130 36000 36288 36450 37472 37800 38880 40320 40500 40824 40985 42000 42156 42525 43200 45360 46656 46840 47250 48000 48600 49182 50400 51030 51840 52695 54000 54432 56000 56208 56700 58320 58550 60480 60750 63000 63234 64800 65576 67200 68040 70260 70875 72000 72576 72900 73773 74944 75600 77760 81000 81648 81970 84000 84312 85050 86400 87825 90720 91125 93312 93680 94500 94851 97200 98364 100800 102060 105390 108000 108864 112000 112416 113400 116640 117100 120960 121500 122955 126000 126468 127575 129600 131152 136080 140520 141750 144000 145800 146375 147546 149888 151200 155520 158085 162000 163296 163940 168000 168624 170100 175650 181440 182250 187360 189000 189702 194400 196728 201600 204120 204925 210780 212625 216000 217728 221319 224832 226800 233280 234200 243000 245910 252000 252936 255150 259200 262304 263475 272160 281040 283500 284553 291600 292750 295092 302400 316170 324000 326592 327880 336000 337248 340200 351300 362880 364500 368865 374720 378000 379404 388800 393456 408240 409850 421560 425250 432000 439125 442638 449664 453600 466560 468400 474255 486000 491820 504000 505872 510300 524608 526950 544320 562080 567000 569106 583200 585500 590184 604800 614775 632340 637875 648000 653184 655760 663957 674496 680400 702600 729000 737730 749440 756000 758808 777600 786912 790425 816480 819700 843120 850500 853659 878250 885276 907200 936800 948510 972000 983640 1008000 1011744 1020600 1024625 1049216 1053900 1088640 1106595 1124160 1134000 1138212 1166400 1171000 1180368 1229550 1264680 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655520443658640 682833795477750 693672427152000 728356048509600 749166221324160 780381480546000 809284498344000 819400554573300 874027258211520 910445060637000 936457776655200 971141398012800 1024250693216625 1040508640728000 1048832709853824 1092534072764400 1170572220819000 1213926747516000 1248610368873600 1311040887317280 1365667590955500 1456712097019200 1560762961092000 1618568996688000 1638801109146600 1748054516423040 1820890121274000 1872915553310400 2048501386433250 2081017281456000 2185068145528800 2341144441638000 2427853495032000 2622081774634560 2731335181911000 2913424194038400 3121525922184000 3277602218293200 3641780242548000 3745831106620800 4097002772866500 4370136291057600 4682288883276000 4855706990064000 5244163549269120 5462670363822000 6243051844368000 6555204436586400 7283560485096000 8194005545733000 8740272582115200 9364577766552000 10925340727644000 13110408873172800 14567120970192000 16388011091466000 18729155533104000 21850681455288000 26220817746345600 32776022182932000 43701362910576000 65552044365864000 131104088731728000
- Sum of all divisors σ(n): 559006227740263680
- Sum of proper divisors (its aliquot sum) s(n): 427902139008535680
- 131104088731728000 is an abundant number, because the sum of its proper divisors (427902139008535680) is greater than itself. Its abundance is 296798050276807680
Bases of 131104088731728000
- Binary: 1110100011100011001111001010111010111010010111000100000002
- Hexadecimal: 0x1D1C6795D74B880
- Base-36: ZUWIQWFM000
Squares and roots of 131104088731728000
- 131104088731728000 squared (1311040887317280002) is 17188282082176808743553865984000000
- 131104088731728000 cubed (1311040887317280003) is 2253454059247678836501127387009725840740352000000000
-
The
square root of 131104088731728000 is 362082985.9738344567 -
The
cube root of 131104088731728000 is 508009.7864428549
Scales and comparisons
How big is 131104088731728000?- 131,104,088,731,728,000 seconds is equal to 4,168,704,490 years, 5 weeks.
-
To count from 1 to 131,104,088,731,728,000 would take you about twelve billion, five hundred six million, one hundred thirteen thousand, four hundred seventy 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 131104088731728000 cubic inches would be around 42334.1 feet tall.
Recreational maths with 131104088731728000
- 131104088731728000 backwards is 000827137880401131
- 131104088731728000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 131104088731728000's digits is 54
- More coming soon!
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"Number 131104088731728000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
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Numbermatics. (2024). Number 131104088731728000 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/131104088731728000/
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Numbermatics. 2024. "Number 131104088731728000 - Facts about the integer". https://numbermatics.com/n/131104088731728000/
The information we have on file for 131104088731728000 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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