21416175821664
21,416,175,821,664 is an even composite number composed of six prime numbers multiplied together.
21416175821664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 21416175821664:
25 × 32 × 132 × 312 × 532 × 163
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 31 × 31 × 53 × 53 × 163)See below for interesting mathematical facts about the number 21416175821664 from the Numbermatics database.
Names of 21416175821664
- Cardinal: 21416175821664 can be written as Twenty-one trillion, four hundred sixteen billion, one hundred seventy-five million, eight hundred twenty-one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 2.1416175821664 × 1013
Factors of 21416175821664
Divisors of 21416175821664
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 53 62 72 78 93 96 104 106 117 124 144 156 159 163 169 186 208 212 234 248 279 288 312 318 326 338 372 403 416 424 468 477 489 496 507 558 624 636 652 676 689 744 806 848 936 954 961 978 992 1014 1116 1209 1248 1272 1304 1352 1378 1467 1488 1521 1612 1643 1696 1872 1908 1922 1956 2028 2067 2119 2232 2418 2544 2608 2704 2756 2809 2883 2934 2976 3042 3224 3286 3627 3744 3816 3844 3912 4056 4134 4238 4464 4836 4929 5053 5088 5216 5239 5408 5512 5618 5766 5868 6084 6201 6357 6448 6572 7254 7632 7688 7824 8112 8268 8427 8476 8639 8649 8928 8957 9672 9858 10106 10478 11024 11236 11532 11736 12168 12402 12493 12714 12896 13144 14508 14787 15159 15264 15376 15648 15717 16224 16536 16854 16952 17278 17298 17914 19071 19344 19716 20212 20956 21359 22048 22472 23064 23472 24336 24804 24986 25281 25428 25917 26288 26871 27547 29016 29574 30318 30752 31434 33072 33708 33904 34556 34596 35828 36517 37479 38142 38688 39432 40424 41912 42718 44944 45477 46128 46944 47151 48672 49608 49972 50562 50856 50933 51834 52576 53742 55094 58032 59148 60636 62868 64077 65689 66144 67416 67808 69112 69192 71656 73034 74958 76284 77751 78864 80613 80848 82641 83824 85436 87079 89888 90954 92256 94302 99216 99944 101124 101712 101866 103668 107484 109551 110188 112307 112437 116064 118296 121272 125736 128154 131378 134832 138224 138384 143312 146068 149916 152568 152799 155502 156643 157728 161226 161696 162409 165282 167648 170872 174158 181908 188604 192231 197067 198432 199888 202248 203424 203732 207336 214968 219102 220376 224614 224874 236592 242544 247923 251472 256308 261237 262756 267809 269664 276448 276768 277667 286624 292136 299832 305136 305598 311004 313286 322452 324818 328653 330564 336921 341744 348316 363816 377208 384462 394134 399776 404496 407464 414672 429936 438204 440752 449228 449748 457867 458397 469929 473184 474721 485088 487227 495846 502944 512616 522474 525512 535618 555334 584272 591201 599664 610272 611196 622008 626572 644904 649636 657306 661128 662129 673842 683488 696632 727632 754416 768924 783711 788268 803427 808992 814928 829344 833001 853957 859872 876408 881504 898456 899496 915734 916794 939858 949442 974454 991692 1010763 1025232 1044948 1051024 1071236 1110668 1132027 1168544 1182402 1199328 1222392 1244016 1253144 1289808 1299272 1314612 1322256 1324258 1347684 1373601 1393264 1409787 1424163 1455264 1459991 1461681 1508832 1537848 1567422 1576536 1606854 1629856 1666002 1707914 1752816 1796912 1798992 1831468 1833588 1879716 1898884 1948908 1983384 1986387 2021526 2036359 2050464 2089896 2102048 2142472 2221336 2264054 2364804 2410281 2444784 2488032 2499003 2506288 2561871 2579616 2598544 2629224 2644512 2648516 2695368 2699449 2747202 2786528 2819574 2848326 2919982 2923362 3075696 3134844 3153072 3213708 3332004 3396081 3415828 3481517 3505632 3593824 3597984 3662936 3667176 3759432 3797768 3897816 3966768 3972774 4043052 4072718 4120803 4179792 4272489 4284944 4379973 4442672 4528108 4729608 4820562 4889568 4998006 5012576 5123742 5197088 5258448 5297032 5390736 5398898 5494404 5639148 5696652 5839964 5846724 5952271 5959161 6109077 6151392 6269688 6306144 6427416 6664008 6792162 6831656 6963034 7325872 7334352 7518864 7595536 7685613 7795632 7933536 7945548 8086104 8098347 8145436 8241606 8302079 8359584 8544978 8569888 8607677 8759946 8885344 9056216 9459216 9641124 9996012 10188243 10247484 10444551 10516896 10594064 10781472 10797796 10988808 11278296 11393304 11679928 11693448 11904542 11918322 12218154 12539376 12854832 13139919 13328016 13584324 13663312 13926068 14193877 14651744 14668704 14716351 15037728 15191072 15371226 15591264 15891096 16172208 16196694 16290872 16483212 16604158 17089956 17215354 17519892 17856813 18112432 18327231 18918432 19282248 19992024 20376486 20494968 20889102 21188128 21595592 21977616 22556592 22786608 23359856 23386896 23809084 23836644 24295041 24436308 24906237 25078752 25709664 25823031 26279838 26472667 26656032 27168648 27326624 27852136 28387754 29432702 30742452 31333653 31782192 32344416 32393388 32581744 32966424 33208316 34179912 34430708 35039784 35092837 35713626 36224864 36654462 38564496 39984048 40752972 40989936 41778204 42581631 43191184 43955232 44149053 45113184 45259721 45573216 46719712 46773792 47618168 47673288 48590082 48872616 49812474 51646062 52559676 52945334 53570439 54337296 55704272 56775508 58865404 61484904 62667306 63564384 64786776 65163488 65932848 66416632 68359824 68861416 70079568 70185674 71427252 73308924 74718711 77128992 77379523 77469093 79418001 79968096 81505944 81979872 83556408 85163262 86382368 88298106 90519442 95236336 95346576 97180164 97745232 99624948 103292124 105119352 105278511 105890668 107140878 107927027 108674592 111408544 113551016 117730808 122969808 125334612 127744893 129573552 131865696 132447159 132833264 135779163 136719648 137722832 140159136 140371348 142854504 146617848 149437422 154759046 154938186 158836002 163011888 167112816 170326524 176596212 181038884 184520401 190472672 190693152 194360328 195490464 199249896 206584248 210238704 210557022 211781336 214281756 215854054 227102032 232138569 235461616 238254003 245939616 250669224 255489786 259147104 264894318 265666528 271558326 275445664 280742696 285709008 293235696 298874844 309518092 309876372 315835533 317672004 323781081 326023776 334225632 340653048 353192424 362077768 369040802 388720656 398499792 407337489 413168496 420477408 421114044 423562672 428563512 431708108 440010187 454204064 456206881 464277138 470923232 476508006 501338448 510979572 529788636 543116652 553561203 561485392 571418016 586471392 597749688 619036184 619752744 631671066 635344008 647562162 681306096 696415707 706384848 724155536 738081604 777441312 796999584 814674978 826336992 842228088 847125344 857127024 863416216 880020374 912413762 928554276 953016012 971343243 1002676896 1021959144 1059577272 1086233304 1107122406 1122970784 1195499376 1238072368 1239505488 1263342132 1270688016 1295124324 1320030561 1362612192 1368620643 1392831414 1403051351 1412769696 1448311072 1476163208 1629349956 1660683609 1684456176 1714254048 1726832432 1760040748 1824827524 1857108552 1906032024 1942686486 2043918288 2119154544 2172466608 2214244812 2390998752 2398765213 2476144736 2479010976 2526684264 2541376032 2590248648 2640061122 2737241286 2785662828 2806102702 2952326416 3258699912 3321367218 3368912352 3453664864 3520081496 3649655048 3714217104 3812064048 3885372972 3960091683 4087836576 4105861929 4209154053 4238309088 4344933216 4428489624 4797530426 5053368528 5180497296 5280122244 5474482572 5571325656 5612205404 5720132431 5904652832 6517399824 6642734436 7040162992 7196295639 7299310096 7428434208 7624128096 7770745944 7920183366 8211723858 8418308106 8856979248 9595060852 10106737056 10360994592 10560244488 10948965144 11142651312 11224410808 11440264862 12627462159 13034799648 13285468872 14080325984 14392591278 14598620192 15541491888 15840366732 16423447716 16836616212 17160397293 17713958496 19190121704 21120488976 21588886917 21897930288 22285302624 22448821616 22880529724 25254924318 26570937744 28785182556 31082983776 31680733464 32846895432 33673232424 34320794586 38380243408 42240977952 43177773834 43795860576 44897643232 45761059448 50509848636 51481191879 53141875488 57570365112 63361466928 65693790864 67346464848 68641589172 74361721603 76760486816 86355547668 91522118896 101019697272 102962383758 115140730224 126722933856 131387581728 134692929696 137283178344 148723443206 172711095336 183044237792 202039394544 205924767516 223085164809 230281460448 274566356688 297446886412 345422190672 404078789088 411849535032 446170329618 549132713376 594893772824 669255494427 690844381344 823699070064 892340659236 1189787545648 1338510988854 1647398140128 1784681318472 2379575091296 2677021977708 3569362636944 5354043955416 7138725273888 10708087910832 21416175821664
- Sum of all divisors σ(n): 69879443231052
- Sum of proper divisors (its aliquot sum) s(n): 48463267409388
- 21416175821664 is an abundant number, because the sum of its proper divisors (48463267409388) is greater than itself. Its abundance is 27047091587724
Bases of 21416175821664
- Binary: 1001101111010010101111000110101100011011000002
- Hexadecimal: 0x137A578D6360
- Base-36: 7LAGE4UW0
Squares and roots of 21416175821664
- 21416175821664 squared (214161758216642) is 458652586824425705531728896
- 21416175821664 cubed (214161758216643) is 9822584440492914284670896999315291602944
-
The
square root of 21416175821664 is 4627761.4266148163 -
The
cube root of 21416175821664 is 27770.3044630419
Scales and comparisons
How big is 21416175821664?- 21,416,175,821,664 seconds is equal to 680,968 years, 7 weeks, 4 days, 8 hours, 14 minutes, 24 seconds.
-
To count from 1 to 21,416,175,821,664 would take you about one million, seven hundred two thousand, four hundred twenty 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 21416175821664 cubic inches would be around 2314.2 feet tall.
Recreational maths with 21416175821664
- 21416175821664 backwards is 46612857161412
- The number of decimal digits it has is: 14
- The sum of 21416175821664's digits is 54
- More coming soon!
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The information we have on file for 21416175821664 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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