13642164307011968
13,642,164,307,011,968 is an even composite number composed of six prime numbers multiplied together.
13642164307011968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13642164307011968:
27 × 73 × 13 × 192 × 792 × 1032
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 13 × 19 × 19 × 79 × 79 × 103 × 103)See below for interesting mathematical facts about the number 13642164307011968 from the Numbermatics database.
Names of 13642164307011968
- Cardinal: 13642164307011968 can be written as Thirteen quadrillion, six hundred forty-two trillion, one hundred sixty-four billion, three hundred seven million, eleven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.3642164307011968 × 1016
Factors of 13642164307011968
Divisors of 13642164307011968
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 7 8 13 14 16 19 26 28 32 38 49 52 56 64 76 79 91 98 103 104 112 128 133 152 158 182 196 206 208 224 247 266 304 316 343 361 364 392 412 416 448 494 532 553 608 632 637 686 721 722 728 784 824 832 896 931 988 1027 1064 1106 1216 1264 1274 1339 1372 1442 1444 1456 1501 1568 1648 1664 1729 1862 1957 1976 2054 2128 2212 2432 2527 2528 2548 2678 2744 2884 2888 2912 3002 3136 3296 3458 3724 3871 3914 3952 4108 4256 4424 4459 4693 5047 5054 5056 5096 5356 5488 5768 5776 5824 6004 6241 6272 6517 6592 6916 7189 7448 7742 7828 7904 8137 8216 8512 8848 8918 9373 9386 10094 10108 10112 10192 10507 10609 10712 10976 11536 11552 11648 12008 12103 12482 13034 13184 13699 13832 14378 14896 15484 15656 15808 16274 16432 17024 17689 17696 17836 18746 18772 19513 20188 20216 20384 21014 21218 21424 21952 23072 23104 24016 24206 24964 25441 26068 27097 27398 27664 28519 28756 29792 30968 31312 31616 32548 32851 32864 35329 35378 35392 35672 37183 37492 37544 39026 40376 40432 40768 42028 42436 42848 43687 43904 46144 46208 48032 48412 49928 50323 50882 52136 54194 54796 55328 56959 57038 57512 59584 61936 62624 65096 65611 65702 65728 70658 70756 70784 71344 73549 74263 74366 74984 75088 78052 80752 80864 81133 81536 84056 84721 84872 85696 87374 92288 95893 96064 96824 99856 100646 101764 104272 105781 108388 109592 110656 113918 114076 115024 118579 119168 123823 123872 125248 130192 131222 131404 131456 136591 137917 141316 141512 142688 147098 148526 148732 149968 150176 154603 156104 161504 161728 162266 168112 169442 169744 171392 174748 178087 191786 192128 193648 199633 199712 201292 201571 203528 208544 211562 216776 219184 221312 227836 228152 229957 230048 237158 247646 247744 250496 260281 260384 262444 262808 273182 275834 282632 283024 285376 294196 297052 297464 299936 300352 305809 309206 312208 323008 323456 324532 336224 338884 339488 349496 352261 356174 370747 383572 387296 398713 399266 399424 402584 403142 407056 417088 423124 433552 438368 455672 456304 459277 459914 460096 474316 483379 495292 495488 514843 519841 520562 520768 524888 525616 546364 551668 565264 566048 567931 570752 588392 594104 594928 599872 600704 611618 618412 624416 642823 646016 649064 671251 672448 677768 678976 698992 704522 712348 740467 741494 767144 774592 797426 798532 798848 805168 806284 814112 830053 834176 838111 846248 867104 876736 911344 912608 918554 919828 920192 948632 956137 965419 966758 990584 1029686 1039682 1041124 1041536 1049776 1051232 1082221 1092728 1103336 1130528 1132096 1135862 1176784 1188208 1189856 1199744 1223236 1236824 1246609 1248832 1285646 1298128 1342502 1344896 1355536 1357952 1397431 1397984 1409044 1410997 1424696 1480934 1482988 1534288 1541527 1549184 1594852 1597064 1609699 1610336 1612568 1628224 1660106 1676222 1692496 1734208 1753472 1821967 1822688 1825216 1837108 1839656 1897264 1912274 1930838 1933516 1981168 2009839 2059372 2079364 2082248 2099552 2102464 2140663 2164442 2185456 2206672 2253001 2261056 2264192 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125864157536 128966112128 130832479544 134056879712 135546015808 136618373528 140896516432 142011204062 142264443776 147821648611 156135284032 159192544658 160738103344 161024590208 162298518928 167314613263 168145690496 168705039412 168939026984 174783020384 181682350136 181934336752 183446256448 183700689536 185484021632 191216700872 192729491227 192805759328 193073173696 207554836706 207636971584 207924956288 209569932208 217842429532 220262275688 228956839202 237205527664 239176764736 239508493952 246568903756 248962776608 251728315072 261664959088 268113759424 271092031616 273236747056 281793032864 284022408124 295233818971 295643297222 310727138917 312270568064 318385089316 321476206688 324597037856 334629226526 337410078824 337878053968 349566040768 363364700272 363868673504 366892512896 382433401744 385458982454 385611518656 386146347392 415109673412 415273943168 419139864416 431495581573 435684859064 440524551376 457913678404 474411055328 478353529472 493137807512 497925553216 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2703024431744 2906917602176 3059467213952 3083671859632 3205395748828 3320877387296 3451964652584 3485478872512 3524196411008 3663309427232 3945102460096 4139006161108 4350179944838 4544358529984 4684809171364 4723741103536 4730292755552 4971634222672 5094161429056 5354067624416 5396425754356 5398561261184 5609442560449 6167343719264 6410791497656 6641754774592 6903929305168 6970957745024 7326618854464 7890204920192 8198416049887 8278012322216 8700359889676 9088717059968 9369618342728 9447482207072 9460585511104 9943268445344 10188322858112 10708135248832 10792851508712 11218885120898 12334687438528 12821582995312 13283509549184 13807858610336 14653237708928 15225629806933 16396832099774 16556024644432 17400719779352 18739236685456 18894964414144 18921171022208 19886536890688 21416270497664 21585703017424 22437770241796 24669374877056 25643165990624 27615717220672 30451259613866 32793664199548 33112049288864 34801439558704 37478473370912 37789928828288 39773073781376 43171406034848 44875540483592 51286331981248 55231434441344 60902519227732 65587328399096 66224098577728 69602879117408 74956946741824 86342812069696 89751080967184 102572663962496 106579408648531 121805038455464 131174656798192 132448197155456 139205758234816 149913893483648 172685624139392 179502161934368 213158817297062 243610076910928 262349313596384 278411516469632 359004323868736 426317634594124 487220153821856 524698627192768 718008647737472 852635269188248 974440307643712 1049397254385536 1705270538376496 1948880615287424 3410541076752992 6821082153505984 13642164307011968
- Sum of all divisors σ(n): 36842583659364000
- Sum of proper divisors (its aliquot sum) s(n): 23200419352352032
- 13642164307011968 is an abundant number, because the sum of its proper divisors (23200419352352032) is greater than itself. Its abundance is 9558255045340064
Bases of 13642164307011968
- Binary: 1100000111011101111001111001010111110010101001100000002
- Hexadecimal: 0x307779E57CA980
- Base-36: 3QBQRRI5F28
Squares and roots of 13642164307011968
- 13642164307011968 squared (136421643070119682) is 186108646979511329093852495233024
- 13642164307011968 cubed (136421643070119683) is 2538924741050180162353335955177442887137316831232
-
The
square root of 13642164307011968 is 116799675.9713483451 -
The
cube root of 13642164307011968 is 238943.0622873783
Scales and comparisons
How big is 13642164307011968?- 13,642,164,307,011,968 seconds is equal to 433,778,626 years, 50 weeks, 6 days, 1 hour, 6 minutes, 8 seconds.
-
To count from 1 to 13,642,164,307,011,968 would take you about one billion, three hundred one million, three hundred thirty-five thousand, eight hundred eighty 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 13642164307011968 cubic inches would be around 19911.9 feet tall.
Recreational maths with 13642164307011968
- 13642164307011968 backwards is 86911070346124631
- The number of decimal digits it has is: 17
- The sum of 13642164307011968's digits is 62
- More coming soon!
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"Number 13642164307011968 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
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Numbermatics. (2024). Number 13642164307011968 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/13642164307011968/
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The information we have on file for 13642164307011968 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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