13742748486487680
13,742,748,486,487,680 is an even composite number composed of nine prime numbers multiplied together.
What does the number 13742748486487680 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2048 divisors.
13742748486487680 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 13742748486487680:
27 × 3 × 5 × 11 × 61 × 127 × 157 × 191 × 2801
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 61 × 127 × 157 × 191 × 2801)See below for interesting mathematical facts about the number 13742748486487680 from the Numbermatics database.
Names of 13742748486487680
- Cardinal: 13742748486487680 can be written as Thirteen quadrillion, seven hundred forty-two trillion, seven hundred forty-eight billion, four hundred eighty-six million, four hundred eighty-seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.374274848648768 × 1016
Factors of 13742748486487680
Divisors of 13742748486487680
- Number of divisors d(n): 2048
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 61 64 66 80 88 96 110 120 122 127 128 132 157 160 165 176 183 191 192 220 240 244 254 264 305 314 320 330 352 366 381 382 384 440 471 480 488 508 528 573 610 628 635 640 660 671 704 732 762 764 785 880 915 942 955 960 976 1016 1056 1146 1220 1256 1270 1320 1342 1397 1408 1464 1524 1528 1570 1727 1760 1830 1884 1905 1910 1920 1952 2013 2032 2101 2112 2292 2355 2440 2512 2540 2640 2684 2794 2801 2865 2928 3048 3056 3140 3355 3454 3520 3660 3768 3810 3820 3904 4026 4064 4191 4202 4224 4584 4710 4880 5024 5080 5181 5280 5368 5588 5602 5730 5856 6096 6112 6280 6303 6710 6908 6985 7040 7320 7536 7620 7640 7747 7808 8052 8128 8382 8403 8404 8635 9168 9420 9577 9760 10048 10065 10160 10362 10505 10560 10736 11176 11204 11460 11651 11712 12192 12224 12560 12606 13420 13816 13970 14005 14640 15072 15240 15280 15494 16104 16256 16764 16806 16808 17270 18336 18840 19154 19520 19939 20096 20130 20320 20724 20955 21010 21120 21472 22352 22408 22920 23241 23302 23424 24257 24384 24448 25120 25212 25905 26840 27632 27940 28010 28731 29280 29987 30144 30480 30560 30811 30988 31515 32208 33528 33612 33616 34540 34953 36672 37680 38308 38735 39040 39878 40260 40640 41448 41910 42015 42020 42944 44704 44816 45840 46482 46604 47885 48514 48768 50240 50424 51810 53680 55264 55880 56020 57462 58255 58560 59817 59974 60288 60960 61120 61622 61976 63030 64416 67056 67224 67232 69080 69906 72771 73344 75360 76616 77470 79756 80520 81280 82896 83820 84030 84040 85217 85888 89408 89632 89961 91680 92433 92964 93208 95770 97028 99695 100480 100848 103620 105347 107360 110528 111760 112040 114924 116205 116510 117120 119634 119948 121285 121920 122240 123244 123952 126060 128161 128832 134112 134448 134464 138160 139812 143655 145542 149935 150720 153232 154055 154940 159512 161040 165792 167640 168060 168080 170434 170861 174765 178816 179264 179922 183360 184866 185928 186416 191540 194056 199390 201696 207240 210694 214720 219329 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5835561990016 5995963563040 6506983184890 6541051159680 6763163625240 6826998751360 7040342462340 7157681503379 7195156275648 7214041200256 7294452487520 7509698626496 7808379821868 7957584531840 8753342985024 8993945344560 9017551500320 9387123283120 9760474777335 9837328909440 10240498127040 10411173095824 10821061800384 10941678731280 11264547939744 11991927126080 13013966369780 13526327250480 14080684924680 14315363006758 14390312551296 14588904975040 15019397252992 15616759643736 17506685970048 17987890689120 18035103000640 18774246566240 19520949554670 20480996254080 20822346191648 21473044510137 21642123600768 21883357462560 22529095879488 23983854252160 26027932739560 27052654500960 28161369849360 28630726013516 29177809950080 31233519287472 35788407516895 35975781378240 36070206001280 37548493132480 39041899109340 41644692383296 42946089020274 43766714925120 45058191758976 52055865479120 54105309001920 56322739698720 57261452027032 62467038574944 71576815033790 71951562756480 75096986264960 78083798218680 83289384766592 85892178040548 87533429850240 104111730958240 107365222550685 108210618003840 112645479397440 114522904054064 124934077149888 143153630067580 156167596437360 171784356081096 208223461916480 214730445101370 225290958794880 229045808108128 249868154299776 286307260135160 312335192874720 343568712162192 416446923832960 429460890202740 458091616216256 572614520270320 624670385749440 687137424324384 858921780405480 916183232432512 1145229040540640 1249340771498880 1374274848648768 1717843560810960 2290458081081280 2748549697297536 3435687121621920 4580916162162560 6871374243243840 13742748486487680
- Sum of all divisors σ(n): 49540544310804480
- Sum of proper divisors (its aliquot sum) s(n): 35797795824316800
- 13742748486487680 is an abundant number, because the sum of its proper divisors (35797795824316800) is greater than itself. Its abundance is 22055047337829120
Bases of 13742748486487680
- Binary: 1100001101001011110100111110011100011001001110100000002
- Hexadecimal: 0x30D2F4F9C64E80
- Base-36: 3RBEBHXLQIO
Squares and roots of 13742748486487680
- 13742748486487680 squared (137427484864876802) is 188863135962859419359542791782400
- 13742748486487680 cubed (137427484864876803) is 2595498575906903211780563073053052670142840832000
-
The
square root of 13742748486487680 is 117229469.3602580459 -
The
cube root of 13742748486487680 is 239528.8702402825
Scales and comparisons
How big is 13742748486487680?- 13,742,748,486,487,680 seconds is equal to 436,976,892 years, 39 weeks, 2 days, 23 hours, 28 minutes.
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To count from 1 to 13,742,748,486,487,680 would take you about one billion, three hundred ten million, nine hundred thirty thousand, six hundred seventy-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 13742748486487680 cubic inches would be around 19960.7 feet tall.
Recreational maths with 13742748486487680
- 13742748486487680 backwards is 08678468484724731
- The number of decimal digits it has is: 17
- The sum of 13742748486487680's digits is 87
- More coming soon!
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The information we have on file for 13742748486487680 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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