13829564947968
13,829,564,947,968 is an even composite number composed of five prime numbers multiplied together.
13829564947968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred divisors.
Prime factorization of 13829564947968:
29 × 34 × 7 × 11 × 1633
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 11 × 163 × 163 × 163)See below for interesting mathematical facts about the number 13829564947968 from the Numbermatics database.
Names of 13829564947968
- Cardinal: 13829564947968 can be written as Thirteen trillion, eight hundred twenty-nine billion, five hundred sixty-four million, nine hundred forty-seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.3829564947968 × 1013
Factors of 13829564947968
Divisors of 13829564947968
- Number of divisors d(n): 800
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 54 56 63 64 66 72 77 81 84 88 96 99 108 112 126 128 132 144 154 162 163 168 176 189 192 198 216 224 231 252 256 264 288 297 308 324 326 336 352 378 384 396 432 448 462 489 504 512 528 567 576 594 616 648 652 672 693 704 756 768 792 864 891 896 924 978 1008 1056 1134 1141 1152 1188 1232 1296 1304 1344 1386 1408 1467 1512 1536 1584 1728 1782 1792 1793 1848 1956 2016 2079 2112 2268 2282 2304 2376 2464 2592 2608 2688 2772 2816 2934 3024 3168 3423 3456 3564 3584 3586 3696 3912 4032 4158 4224 4401 4536 4564 4608 4752 4928 5184 5216 5376 5379 5544 5632 5868 6048 6237 6336 6846 6912 7128 7172 7392 7824 8064 8316 8448 8802 9072 9128 9504 9856 10269 10368 10432 10752 10758 11088 11736 12096 12474 12551 12672 13203 13692 13824 14256 14344 14784 15648 16128 16137 16632 16896 17604 18144 18256 19008 19712 20538 20736 20864 21516 22176 23472 24192 24948 25102 25344 26406 26569 27384 28512 28688 29568 30807 31296 32256 32274 33264 35208 36288 36512 37653 38016 39424 41076 41472 41728 43032 44352 46944 48384 48411 49896 50204 50688 52812 53138 54768 57024 57376 59136 61614 62592 64548 66528 70416 72576 73024 75306 76032 79707 82152 83456 86064 88704 92421 93888 96768 96822 99792 100408 105624 106276 109536 112959 114048 114752 118272 123228 125184 129096 133056 140832 145152 145233 146048 150612 152064 159414 164304 172128 177408 184842 185983 187776 193644 199584 200816 211248 212552 219072 225918 228096 229504 239121 246456 250368 258192 266112 281664 290304 290466 292096 292259 301224 318828 328608 338877 344256 354816 369684 371966 375552 387288 399168 401632 422496 425104 438144 451836 456192 459008 478242 492912 516384 532224 557949 563328 580932 584192 584518 602448 637656 657216 677754 688512 717363 739368 743932 751104 774576 798336 803264 844992 850208 876288 876777 903672 918016 956484 985824 1016631 1032768 1064448 1115898 1126656 1161864 1169036 1204896 1275312 1314432 1355508 1377024 1434726 1478736 1487864 1549152 1596672 1606528 1673847 1689984 1700416 1752576 1753554 1807344 1912968 1971648 2033262 2045813 2065536 2152089 2231796 2253312 2323728 2338072 2409792 2550624 2628864 2630331 2711016 2754048 2869452 2957472 2975728 3098304 3193344 3213056 3347694 3379968 3400832 3507108 3614688 3825936 3943296 4066524 4091626 4131072 4304178 4330747 4463592 4647456 4676144 4819584 5021541 5101248 5257728 5260662 5422032 5738904 5914944 5951456 6137439 6196608 6426112 6695388 6759936 6801664 7014216 7229376 7651872 7886592 7890993 8133048 8183252 8262144 8608356 8661494 8927184 9294912 9352288 9639168 10043082 10202496 10521324 10844064 11477808 11829888 11902912 12274878 12393216 12992241 13390776 13603328 14028432 14458752 15064623 15303744 15773184 15781986 16266096 16366504 17216712 17322988 17854368 18412317 18589824 18704576 19278336 20086164 20404992 21042648 21688128 22955616 23659776 23672979 23805824 24549756 24786432 25984482 26781552 28056864 28917504 30129246 30315229 30607488 31563972 32532192 32733008 34433424 34645976 35708736 36824634 37179648 37409152 38976723 40172328 40809984 42085296 43376256 45911232 47319552 47345958 47611648 47638217 49099512 51968964 53563104 55236951 56113728 57835008 60258492 60630458 61214976 63127944 65064384 65466016 68866848 69291952 71417472 73649268 74359296 74818304 77953446 80344656 84170592 86752512 90945687 91822464 94691916 95223296 95276434 98199024 103937928 107126208 110473902 112227456 116930169 120516984 121260916 122429952 126255888 130128768 130932032 137733696 138583904 142834944 142914651 147298536 149636608 155906892 160689312 165710853 168341184 173505024 181891374 183644928 189383832 190552868 196398048 207875856 214252416 220947804 224454912 233860338 241033968 242521832 252511776 260257536 261864064 272837061 275467392 277167808 285669888 285829302 294597072 311813784 321378624 331421706 333467519 336682368 350790507 363782748 367289856 378767664 381105736 392796096 415751712 428504832 428743953 441895608 448909824 467720676 482067936 485043664 505023552 520515072 523728128 545674122 550934784 554335616 571658604 589194144 623627568 642757248 662843412 666935038 673364736 701581014 727565496 757535328 762211472 785592192 818511183 831503424 857009664 857487906 883791216 935441352 964135872 970087328 1000402557 1010047104 1047456256 1091348244 1101869568 1108671232 1143317208 1178388288 1247255136 1285514496 1286231859 1325686824 1333870076 1346729472 1403162028 1455130992 1515070656 1524422944 1571184384 1637022366 1663006848 1714975812 1767582432 1870882704 1928271744 1940174656 2000805114 2020094208 2182696488 2217342464 2286634416 2356776576 2455533549 2494510272 2571028992 2572463718 2651373648 2667740152 2806324056 2910261984 3001207671 3030141312 3048845888 3142368768 3274044732 3326013696 3429951624 3535164864 3741765408 3856543488 3858695577 3880349312 4001610228 4040188416 4365392976 4573268832 4713553152 4911067098 4989020544 5144927436 5302747296 5335480304 5612648112 5820523968 6002415342 6060282624 6097691776 6548089464 6652027392 6859903248 7070329728 7483530816 7713086976 7717391154 7760698624 8003220456 8730785952 9003623013 9146537664 9427106304 9822134196 9978041088 10289854872 10605494592 10670960608 11225296224 11641047936 12004830684 12120565248 12195383552 13096178928 13719806496 14140659456 14967061632 15434782308 15521397248 16006440912 17461571904 18007246026 18293075328 19644268392 19956082176 20579709744 21210989184 21341921216 22450592448 23282095872 24009661368 24390767104 26192357856 27010869039 27439612992 28281318912 29934123264 30869564616 32012881824 34923143808 36014492052 36586150656 39288536784 41159419488 42421978368 42683842432 44901184896 46564191744 48019322736 52384715712 54021738078 54879225984 59868246528 61739129232 64025763648 69846287616 72028984104 73172301312 78577073568 82318838976 84843956736 85367684864 89802369792 96038645472 104769431424 108043476156 109758451968 123478258464 128051527296 139692575232 144057968208 157154147136 164637677952 170735369728 179604739584 192077290944 209538862848 216086952312 219516903936 246956516928 256103054592 288115936416 314308294272 329275355904 384154581888 419077725696 432173904624 493913033856 512206109184 576231872832 628616588544 658550711808 768309163776 864347809248 987826067712 1152463745664 1257233177088 1536618327552 1728695618496 1975652135424 2304927491328 3457391236992 4609854982656 6914782473984 13829564947968
- Sum of all divisors σ(n): 51780666896640
- Sum of proper divisors (its aliquot sum) s(n): 37951101948672
- 13829564947968 is an abundant number, because the sum of its proper divisors (37951101948672) is greater than itself. Its abundance is 24121537000704
Bases of 13829564947968
- Binary: 110010010011111100100100111001011110000000002
- Hexadecimal: 0xC93F24E5E00
- Base-36: 4WH7PWG00
Squares and roots of 13829564947968
- 13829564947968 squared (138295649479682) is 191256866650065150547329024
- 13829564947968 cubed (138295649479683) is 2644999259081930968192882400515936223232
-
The
square root of 13829564947968 is 3718812.3034065595 -
The
cube root of 13829564947968 is 24003.2200239575
Scales and comparisons
How big is 13829564947968?- 13,829,564,947,968 seconds is equal to 439,737 years, 20 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 13,829,564,947,968 would take you about one million, ninety-nine thousand, three hundred forty-three 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 13829564947968 cubic inches would be around 2000.3 feet tall.
Recreational maths with 13829564947968
- 13829564947968 backwards is 86974946592831
- 13829564947968 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13829564947968's digits is 81
- More coming soon!
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The information we have on file for 13829564947968 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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