421696047456768
421,696,047,456,768 is an even composite number composed of seven prime numbers multiplied together.
What does the number 421696047456768 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
421696047456768 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 421696047456768:
29 × 3 × 72 × 43 × 97 × 1093 × 1229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 43 × 97 × 1093 × 1229)See below for interesting mathematical facts about the number 421696047456768 from the Numbermatics database.
Names of 421696047456768
- Cardinal: 421696047456768 can be written as Four hundred twenty-one trillion, six hundred ninety-six billion, forty-seven million, four hundred fifty-six thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 4.21696047456768 × 1014
Factors of 421696047456768
Divisors of 421696047456768
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 49 56 64 84 86 96 97 98 112 128 129 147 168 172 192 194 196 224 256 258 291 294 301 336 344 384 388 392 448 512 516 582 588 602 672 679 688 768 776 784 896 903 1032 1093 1164 1176 1204 1229 1344 1358 1376 1536 1552 1568 1792 1806 2037 2064 2107 2186 2328 2352 2408 2458 2688 2716 2752 3104 3136 3279 3584 3612 3687 4074 4128 4171 4214 4372 4656 4704 4753 4816 4916 5376 5432 5504 6208 6272 6321 6558 7224 7374 7651 8148 8256 8342 8428 8603 8744 9312 9408 9506 9632 9832 10752 10864 11008 12416 12513 12544 12642 13116 14259 14448 14748 15302 16296 16512 16684 16856 17206 17488 18624 18816 19012 19264 19664 21728 22016 22953 24832 25026 25088 25284 25809 26232 28518 28896 29197 29496 30604 32592 33024 33368 33712 34412 34976 37248 37632 38024 38528 39328 43456 45906 46999 49664 50052 50568 51618 52464 52847 53557 57036 57792 58394 58992 60221 61208 65184 66048 66736 67424 68824 69952 74496 75264 76048 77056 78656 86912 87591 91812 93998 100104 101136 103236 104928 105694 106021 107114 114072 115584 116788 117984 119213 120442 122416 130368 133472 134848 137648 139904 140997 148992 152096 154112 157312 158541 160671 173824 175182 180663 183624 187996 200208 202272 204379 206472 209856 211388 212042 214228 228144 231168 233576 235968 238426 240884 244832 260736 266944 269696 275296 279808 281994 304192 314624 317082 318063 321342 328993 347648 350364 357639 361326 367248 369929 375992 400416 404544 408758 412944 419712 422776 424084 428456 456288 462336 467152 471936 476852 481768 489664 521472 533888 539392 550592 559616 563988 608384 613137 629248 634164 636126 642684 657986 700728 715278 722652 734496 739858 742147 751984 800832 809088 817516 825888 834491 839424 845552 848168 856912 912576 934304 943872 953704 963536 979328 986979 1042944 1067776 1078784 1101184 1109787 1127976 1216768 1226274 1268328 1272252 1285368 1315972 1343297 1401456 1430556 1445304 1468992 1479716 1484294 1503968 1601664 1618176 1635032 1651776 1668982 1678848 1691104 1696336 1713824 1825152 1868608 1887744 1907408 1927072 1958656 1973958 2135552 2202368 2219574 2226441 2255952 2302951 2433536 2452548 2503473 2536656 2544504 2570736 2589503 2631944 2686594 2802912 2861112 2890608 2937984 2959432 2968588 3007936 3203328 3236352 3270064 3303552 3337964 3382208 3392672 3427648 3650304 3737216 3814816 3854144 3917312 3947916 4029891 4404736 4439148 4452882 4511904 4558903 4605902 4905096 5006946 5073312 5089008 5126159 5141472 5179006 5195029 5263888 5373188 5605824 5722224 5781216 5841437 5875968 5918864 5937176 6015872 6406656 6540128 6607104 6675928 6764416 6785344 6855296 6908853 7300608 7474432 7629632 7708288 7768509 7895832 8059782 8878296 8905764 9023808 9117806 9211804 9403079 9810192 10013892 10146624 10178016 10252318 10282944 10358012 10390058 10527776 10746376 11211648 11444448 11562432 11682874 11751936 11837728 11874352 12031744 13080256 13214208 13351856 13528832 13570688 13676709 13710592 13817706 14948864 15259264 15378477 15416576 15537018 15585087 15791664 16119564 17524311 17756592 17811528 18047616 18235612 18423608 18806158 19620384 20027784 20293248 20356032 20504636 20565888 20716024 20780116 21055552 21492752 22423296 22888896 23124864 23365748 23675456 23748704 24063488 26160512 26703712 27057664 27141376 27353418 27421184 27635412 28209237 30518528 30756954 30833152 31074036 31170174 31583328 31912321 32239128 35048622 35513184 35623056 35883113 36095232 36471224 36847216 37612316 39240768 40055568 40586496 40712064 41009272 41131776 41432048 41560232 42111104 42985504 44846592 45777792 46249728 46731496 47350912 47497408 52321024 53407424 54282752 54706836 55270824 56418474 57761771 61037056 61513908 62148072 62340348 63166656 63824642 64478256 65821553 70097244 71026368 71246112 71766226 72190464 72942448 73694432 75224632 78481536 80111136 81172992 81424128 82018544 82263552 82864096 83120464 84222208 85971008 91555584 92499456 93462992 94701824 94994816 95736963 104642048 106814848 107649339 109413672 110541648 112836948 115523542 123027816 124296144 124680696 126333312 127649284 128956512 130299809 131643106 140194488 142052736 142492224 143532452 145884896 147388864 150449264 156963072 160222272 162848256 164037088 165728192 166240928 168444416 171942016 173285313 183111168 186925984 189403648 189989632 191473926 197464659 213629696 215298678 218827344 221083296 223386247 225673896 231047084 246055632 248592288 249361392 251181791 252666624 255298568 257913024 260599618 263286212 280388976 284105472 284984448 287064904 291769792 294777728 300898528 313926144 320444544 328074176 331456384 332481856 343884032 346570626 373851968 379979264 382947852 390899427 394929318 404332397 427259392 430597356 437654688 442166592 446772494 451347792 462094168 492111264 497184576 498722784 502363582 505333248 510597136 515826048 521199236 526572424 560777952 568210944 569968896 574129808 583539584 589555456 601797056 640889088 656148352 662912768 664963712 670158741 687768064 693141252 747703936 753545373 765895704 781798854 789858636 808664794 861194712 875309376 884333184 893544988 902695584 912098663 924188336 984222528 994369152 997445568 1004727164 1021194272 1031652096 1042398472 1053144848 1121555904 1139937792 1148259616 1167079168 1179110912 1203594112 1212997191 1281778176 1312296704 1325825536 1329927424 1340317482 1386282504 1495407872 1507090746 1531791408 1563597708 1579717272 1617329588 1722389424 1750618752 1768666368 1787089976 1805391168 1824197326 1848376672 1968445056 1988738304 1994891136 2009454328 2042388544 2063304192 2084796944 2106289696 2243111808 2296519232 2334158336 2407188224 2425994382 2624593408 2659854848 2680634964 2736295989 2772565008 2830326779 2990815744 3014181492 3063582816 3127195416 3159434544 3234659176 3444778848 3501237504 3537332736 3574179952 3610782336 3648394652 3696753344 3936890112 3977476608 3989782272 4018908656 4084777088 4169593888 4212579392 4486223616 4593038464 4814376448 4851988764 5361269928 5472591978 5545130016 5602891787 5660653558 6028362984 6127165632 6254390832 6318869088 6384690641 6469318352 6889557696 7002475008 7148359904 7221564672 7296789304 7393506688 7873780224 7979564544 8037817312 8169554176 8339187776 8425158784 8490980337 8972447232 9186076928 9703977528 10722539856 10945183956 11090260032 11205783574 11321307116 12056725968 12254331264 12508781664 12637738176 12769381282 12938636704 13779115392 14296719808 14443129344 14593578608 14787013376 16075634624 16339108352 16678375552 16808675361 16850317568 16981960674 18372153856 19154071923 19407955056 21445079712 21890367912 22180520064 22411567148 22642614232 24113451936 24508662528 25017563328 25275476352 25538762564 25877273408 27558230784 28593439616 29187157216 29574026752 32151269248 33356751104 33617350722 33700635136 33963921348 38308143846 38815910112 39220242509 42890159424 43780735824 44361040128 44823134296 45285228464 48226903872 49017325056 50035126656 50550952704 51077525128 51754546816 55116461568 57186879232 58374314432 64302538496 66713502208 67234701444 67927842696 76616287692 77631820224 78440485018 85780318848 87561471648 88722080256 89646268592 90570456928 96453807744 100070253312 101101905408 102155050256 103509093632 114373758464 116748628864 117660727527 128605076992 134469402888 135855685392 153232575384 155263640448 156880970036 171560637696 175122943296 179292537184 181140913856 192907615488 200140506624 204310100512 207018187264 233497257728 235321455054 268938805776 271711370784 274541697563 306465150768 310527280896 313761940072 343121275392 350245886592 358585074368 362281827712 385815230976 408620201024 466994515456 470642910108 537877611552 543422741568 549083395126 612930301536 621054561792 627523880144 700491773184 717170148736 724563655424 817240402048 823625092689 941285820216 1075755223104 1086845483136 1098166790252 1225860603072 1255047760288 1400983546368 1434340297472 1449127310848 1634480804096 1647250185378 1882571640432 2151510446208 2173690966272 2196333580504 2451721206144 2510095520576 2868680594944 3268961608192 3294500370756 3765143280864 4303020892416 4347381932544 4392667161008 4903442412288 5020191041152 6589000741512 7530286561728 8606041784832 8785334322016 9806884824576 10040382082304 13178001483024 15060573123456 17570668644032 20080764164608 26356002966048 30121146246912 35141337288064 52712005932096 60242292493824 70282674576128 105424011864192 140565349152256 210848023728384 421696047456768
- Sum of all divisors σ(n): 1353354795999360
- Sum of proper divisors (its aliquot sum) s(n): 931658748542592
- 421696047456768 is an abundant number, because the sum of its proper divisors (931658748542592) is greater than itself. Its abundance is 509962701085824
Bases of 421696047456768
- Binary: 10111111110000111110000110001110010100010000000002
- Hexadecimal: 0x17F87C31CA200
- Base-36: 45H8HMSB9C
Squares and roots of 421696047456768
- 421696047456768 squared (4216960474567682) is 177827556440660729200829005824
- 421696047456768 cubed (4216960474567683) is 74989177679921956872414780834525041060216832
-
The
square root of 421696047456768 is 20535239.1623951631 -
The
cube root of 421696047456768 is 74989.3939050595
Scales and comparisons
How big is 421696047456768?- 421,696,047,456,768 seconds is equal to 13,408,629 years, 47 weeks, 5 days, 12 minutes, 48 seconds.
-
To count from 1 to 421,696,047,456,768 would take you about thirty-three million, five hundred twenty-one thousand, five hundred seventy-four 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 421696047456768 cubic inches would be around 6249.1 feet tall.
Recreational maths with 421696047456768
- 421696047456768 backwards is 867654740696124
- The number of decimal digits it has is: 15
- The sum of 421696047456768's digits is 75
- More coming soon!
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The information we have on file for 421696047456768 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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