13842295366745664
13,842,295,366,745,664 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13842295366745664 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2016 divisors.
13842295366745664 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 13842295366745664:
26 × 32 × 72 × 13 × 73 × 379 × 631 × 2161
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 13 × 73 × 379 × 631 × 2161)See below for interesting mathematical facts about the number 13842295366745664 from the Numbermatics database.
Names of 13842295366745664
- Cardinal: 13842295366745664 can be written as Thirteen quadrillion, eight hundred forty-two trillion, two hundred ninety-five billion, three hundred sixty-six million, seven hundred forty-five thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.3842295366745664 × 1016
Factors of 13842295366745664
Divisors of 13842295366745664
- Number of divisors d(n): 2016
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 49 52 56 63 64 72 73 78 84 91 96 98 104 112 117 126 144 146 147 156 168 182 192 196 208 219 224 234 252 273 288 292 294 312 336 364 379 392 416 438 441 448 468 504 511 546 576 584 588 624 631 637 657 672 728 758 784 819 832 876 882 936 949 1008 1022 1092 1137 1168 1176 1248 1262 1274 1314 1344 1456 1516 1533 1568 1638 1752 1764 1872 1893 1898 1911 2016 2044 2161 2184 2274 2336 2352 2496 2524 2548 2628 2653 2847 2912 3032 3066 3136 3276 3411 3504 3528 3577 3744 3786 3796 3822 4032 4088 4322 4368 4417 4548 4599 4672 4704 4927 5048 5096 5256 5306 5679 5694 5733 5824 6064 6132 6483 6552 6643 6822 7008 7056 7154 7488 7572 7592 7644 7959 8176 8203 8541 8644 8736 8834 9096 9198 9408 9854 10096 10192 10512 10612 10731 11358 11388 11466 12128 12264 12966 13104 13251 13286 13644 14016 14112 14308 14781 15127 15144 15184 15288 15918 16352 16406 17082 17288 17472 17668 18192 18396 18571 19449 19708 19929 20192 20384 21024 21224 21462 22716 22776 22932 23877 24256 24528 24609 25932 26208 26502 26572 27288 27667 28093 28224 28616 29562 30254 30288 30368 30576 30919 31836 32193 32704 32812 34164 34489 34576 35336 36384 36792 37142 38898 39416 39753 39858 40384 40768 42048 42448 42924 44343 45381 45432 45552 45864 46063 46501 47754 49056 49218 51864 52416 53004 53144 54576 55334 55713 56186 57232 57421 59124 59787 60508 60576 60736 61152 61838 63672 64386 65624 68328 68978 69152 70672 72768 73584 73827 74284 77796 78832 79506 79716 83001 84279 84896 85848 88686 90762 90864 91104 91728 92126 92757 93002 95508 98112 98436 103467 103728 105889 106008 106288 109152 110668 111426 112372 114464 114842 118248 119574 121016 121152 122304 123676 127344 128772 131248 136143 136656 137956 138189 138304 139503 141344 147168 147654 148568 155592 157664 157753 159012 159432 166002 167139 168558 169792 171696 172263 177372 181524 181728 182208 183456 184252 185514 186004 191016 193669 196651 196872 206934 207456 211778 212016 212576 218304 221336 222852 224744 228928 229684 236496 239148 239149 241423 242032 247352 249003 252837 254688 257544 262496 272286 273312 275912 276378 278271 279006 282688 294336 295308 297136 310401 311184 315328 315506 317667 318024 318864 322441 332004 334278 337116 343392 344526 354744 359671 363048 363456 366912 368504 371028 372008 382032 387338 393302 393744 401947 413868 414567 414912 418509 423556 424032 425152 442672 445704 449488 459368 472992 473259 478296 478298 482846 484064 494704 498006 505674 509376 515088 516789 524992 544572 546624 551824 552756 556542 558012 581007 589953 590616 594272 598819 620802 622368 631012 635334 636048 637728 644882 664008 668556 674232 686784 689052 709488 717447 719342 724269 726096 737008 742056 744016 764064 774676 786604 787488 803894 819019 827736 829134 837018 847112 848064 885344 891408 898976 918736 945984 946518 953001 956592 956596 965692 967323 968128 989408 996012 1011348 1030176 1033578 1079013 1089144 1103648 1104271 1105512 1113084 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329578461112992 354930650429376 384508204631824 432571730210802 494367691669488 532395975644064 576762306947736 659156922225984 769016409263648 865143460421604 988735383338976 1064791951288128 1153524613895472 1538032818527296 1730286920843208 1977470766677952 2307049227790944 3460573841686416 4614098455581888 6921147683372832 13842295366745664
- Sum of all divisors σ(n): 50621854224963840
- Sum of proper divisors (its aliquot sum) s(n): 36779558858218176
- 13842295366745664 is an abundant number, because the sum of its proper divisors (36779558858218176) is greater than itself. Its abundance is 22937263491472512
Bases of 13842295366745664
- Binary: 1100010010110101111110100010100011010111111110010000002
- Hexadecimal: 0x312D7E8A35FE40
- Base-36: 3SAOMPBVV40
Squares and roots of 13842295366745664
- 13842295366745664 squared (138422953667456642) is 191609141020228476620142062800896
- 13842295366745664 cubed (138422953667456643) is 2652310324970425192709939464961005292564303314944
-
The
square root of 13842295366745664 is 117653284.5557048781 -
The
cube root of 13842295366745664 is 240105.8292921081
Scales and comparisons
How big is 13842295366745664?- 13,842,295,366,745,664 seconds is equal to 440,142,175 years, 32 weeks, 5 days, 22 hours, 14 minutes, 24 seconds.
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To count from 1 to 13,842,295,366,745,664 would take you about one billion, three hundred twenty million, four hundred twenty-six thousand, five hundred twenty-six 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 13842295366745664 cubic inches would be around 20008.8 feet tall.
Recreational maths with 13842295366745664
- 13842295366745664 backwards is 46654766359224831
- The number of decimal digits it has is: 17
- The sum of 13842295366745664's digits is 81
- More coming soon!
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The information we have on file for 13842295366745664 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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