13825281989376
13,825,281,989,376 is an even composite number composed of six prime numbers multiplied together.
What does the number 13825281989376 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
13825281989376 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 13825281989376:
28 × 34 × 11 × 132 × 173 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 13 × 13 × 17 × 17 × 17 × 73)See below for interesting mathematical facts about the number 13825281989376 from the Numbermatics database.
Names of 13825281989376
- Cardinal: 13825281989376 can be written as Thirteen trillion, eight hundred twenty-five billion, two hundred eighty-one million, nine hundred eighty-nine thousand, three hundred seventy-six.
Scientific notation
- Scientific notation: 1.3825281989376 × 1013
Factors of 13825281989376
Divisors of 13825281989376
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 17 18 22 24 26 27 32 33 34 36 39 44 48 51 52 54 64 66 68 72 73 78 81 88 96 99 102 104 108 117 128 132 136 143 144 146 153 156 162 169 176 187 192 198 204 208 216 219 221 234 256 264 272 286 288 289 292 297 306 312 324 338 351 352 374 384 396 408 416 429 432 438 442 459 468 507 528 544 561 572 576 578 584 594 612 624 648 657 663 676 702 704 748 768 792 803 816 832 858 864 867 876 884 891 918 936 949 1014 1053 1056 1088 1122 1144 1152 1156 1168 1188 1224 1241 1248 1287 1296 1314 1326 1352 1377 1404 1408 1496 1521 1584 1606 1632 1664 1683 1716 1728 1734 1752 1768 1782 1836 1859 1872 1898 1971 1989 2028 2106 2112 2176 2244 2288 2304 2312 2336 2376 2409 2431 2448 2482 2496 2574 2592 2601 2628 2652 2704 2754 2808 2816 2847 2873 2992 3042 3168 3179 3212 3264 3328 3366 3432 3456 3468 3504 3536 3564 3672 3718 3723 3744 3757 3796 3861 3942 3978 4056 4212 4224 4352 4488 4563 4576 4624 4672 4752 4818 4862 4896 4913 4964 4992 5049 5148 5184 5202 5256 5304 5408 5508 5577 5616 5694 5746 5913 5967 5984 6084 6336 6358 6424 6528 6732 6864 6912 6936 7008 7072 7128 7227 7293 7344 7436 7446 7488 7514 7592 7722 7803 7884 7956 8112 8424 8448 8541 8619 8976 9126 9152 9248 9344 9504 9537 9636 9724 9792 9826 9928 9984 10098 10296 10368 10404 10439 10512 10608 10816 11016 11154 11169 11232 11271 11388 11492 11583 11826 11934 11968 12168 12337 12672 12716 12848 13056 13464 13651 13689 13728 13872 14016 14144 14256 14454 14586 14688 14739 14872 14892 14976 15028 15147 15184 15444 15606 15768 15912 16133 16224 16731 16848 17082 17238 17901 17952 18252 18304 18496 18688 19008 19074 19272 19448 19584 19652 19856 20196 20592 20736 20808 20878 21024 21097 21216 21632 21681 21879 22032 22308 22338 22464 22542 22776 22984 23166 23409 23652 23868 23936 24336 24674 25344 25432 25623 25696 25857 26928 27302 27378 27456 27744 28032 28288 28512 28611 28908 29172 29376 29478 29744 29784 29952 30056 30294 30368 30888 31212 31317 31536 31603 31824 32266 32448 33462 33507 33696 33813 34164 34476 35802 35904 36504 36608 36992 37011 38016 38148 38544 38896 39168 39304 39712 40392 40953 41184 41327 41616 41756 42048 42194 42432 43264 43362 43758 44064 44217 44616 44676 44928 45084 45552 45968 46332 46818 47304 47736 47872 48399 48672 48841 49348 50193 50864 51246 51392 51714 53856 54043 54604 54756 54912 55488 56064 56576 57024 57222 57816 58344 58752 58956 59488 59568 60112 60588 60736 61776 62424 62634 63072 63206 63291 63648 63869 64532 64896 65043 65637 66924 67014 67392 67626 68328 68952 71604 71808 73008 73984 74022 76032 76296 76869 77088 77571 77792 78608 79424 80784 81906 82368 82654 83232 83512 84096 84388 84864 85833 86724 87516 88128 88434 89232 89352 89856 90168 91104 91936 92664 93636 93951 94608 94809 95472 96798 97344 97682 98696 100386 100521 101439 101728 102492 102784 103428 107712 108086 109208 109512 109824 110976 111033 114048 114444 115632 116688 117504 117912 118976 119136 120224 121176 121472 122859 123552 123981 124848 125268 126144 126412 126582 127296 127738 129064 129792 130086 131274 132651 133848 134028 134784 135252 135707 136656 137904 143208 143616 145197 146016 146523 148044 150579 152592 153738 154176 155142 155584 157216 158848 161568 162129 163812 164736 165308 166464 167024 168192 168776 169728 171666 173448 175032 176256 176868 177463 178464 178704 180336 182208 183872 185328 187272 187902 189216 189618 189873 190944 191607 193596 194688 195364 196911 197392 200772 201042 202878 203456 204984 205568 206856 209729 215424 216172 218416 219024 221952 222066 228096 228888 231264 232067 232713 233376 235824 237952 238272 240448 242352 242944 245718 247104 247962 249696 250536 252288 252824 253164 254592 255476 257499 258128 260172 262548 265302 267696 268056 269568 270504 271414 273312 274261 275808 281853 284427 286416 290394 292032 293046 296088 301158 304317 305184 307476 308352 310284 311168 314432 317696 323136 324258 327624 329472 330616 332928 333099 334048 337552 343332 346896 350064 352512 353736 354926 356928 357408 358649 360672 364416 367744 368577 370656 371943 374544 375804 378432 379236 379746 381888 383214 387192 389376 390728 393822 394784 397953 401544 402084 405756 406912 407121 409968 413712 419458 430848 432344 435591 436832 438048 439569 444132 457776 462528 464134 465426 466752 471648 475904 476544 480896 484704 486387 491436 494208 495924 499392 501072 504576 505648 506328 509184 510952 514998 516256 520344 525096 530604 532389 535392 536112 537251 541008 542828 546624 548522 551616 563706 568854 569619 572832 574821 580788 584064 586092 592176 602316 608634 610368 614952 616704 620568 622336 628864 629187 646272 648516 655248 661232 665856 666198 668096 675104 686664 693792 696201 700128 702559 707472 709852 713856 714816 717298 721344 728832 735488 737154 741312 743886 749088 751608 756864 758472 759492 763776 766428 774384 781456 787644 789568 795906 803088 804168 811512 813824 814242 819936 822783 827424 830297 838916 845559 853281 864688 871182 873664 876096 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14770600416 15060220032 15516590336 15639459264 15782285376 15946115328 16001483784 16113382272 16616925468 16942747536 17217038592 17456164128 18001669257 18482997312 19638184644 19694133888 20451600576 20852612352 21043047168 21335311712 22155900624 22590330048 23274885504 23673428064 23919172992 24002225676 24170073408 24643996416 25414121304 26184246192 27268800768 29541200832 30120440064 31278918528 31564570752 32002967568 32226764544 33233850936 33885495072 34912328256 36003338514 36965994624 39276369288 39388267776 40903201152 42670623424 44311801248 45180660096 46549771008 47346856128 47838345984 48004451352 48340146816 50828242608 52368492384 54005007771 59082401664 62557837056 63129141504 64005935136 66467701872 67770990144 69824656512 72006677028 73931989248 78552738576 81806402304 85341246848 88623602496 90361320192 94693712256 96008902704 96680293632 101656485216 104736984768 108010015542 118164803328 128011870272 132935403744 135541980288 139649313024 144013354056 157105477152 170682493696 177247204992 189387424512 192017805408 203312970432 209473969536 216020031084 256023740544 265870807488 271083960576 288026708112 314210954304 354494409984 384035610816 406625940864 418947939072 432040062168 512047481088 531741614976 576053416224 628421908608 768071221632 813251881728 864080124336 1063483229952 1152106832448 1256843817216 1536142443264 1728160248672 2304213664896 3456320497344 4608427329792 6912640994688 13825281989376
- Sum of all divisors σ(n): 52449436781280
- Sum of proper divisors (its aliquot sum) s(n): 38624154791904
- 13825281989376 is an abundant number, because the sum of its proper divisors (38624154791904) is greater than itself. Its abundance is 24798872802528
Bases of 13825281989376
- Binary: 110010010010111100110000010110011011000000002
- Hexadecimal: 0xC92F3059B00
- Base-36: 4WF8VXS00
Squares and roots of 13825281989376
- 13825281989376 squared (138252819893762) is 191138422085764408176869376
- 13825281989376 cubed (138252819893763) is 2642542584340066532369163927892971749376
-
The
square root of 13825281989376 is 3718236.4084840007 -
The
cube root of 13825281989376 is 24000.7418690675
Scales and comparisons
How big is 13825281989376?- 13,825,281,989,376 seconds is equal to 439,601 years, 10 weeks, 3 days, 20 hours, 9 minutes, 36 seconds.
-
To count from 1 to 13,825,281,989,376 would take you about one million, ninety-nine thousand and 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 13825281989376 cubic inches would be around 2000.1 feet tall.
Recreational maths with 13825281989376
- 13825281989376 backwards is 67398918252831
- 13825281989376 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13825281989376's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 13825281989376 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 13825281989376 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/13825281989376/
Chicago style:
Numbermatics. 2024. "Number 13825281989376 - Facts about the integer". https://numbermatics.com/n/13825281989376/
The information we have on file for 13825281989376 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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