21948568968942
21,948,568,968,942 is an even composite number composed of six prime numbers multiplied together.
21948568968942 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 21948568968942:
2 × 32 × 79 × 11 × 41 × 67
(2 × 3 × 3 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 11 × 41 × 67)See below for interesting mathematical facts about the number 21948568968942 from the Numbermatics database.
Names of 21948568968942
- Cardinal: 21948568968942 can be written as Twenty-one trillion, nine hundred forty-eight billion, five hundred sixty-eight million, nine hundred sixty-eight thousand, nine hundred forty-two.
Scientific notation
- Scientific notation: 2.1948568968942 × 1013
Factors of 21948568968942
Divisors of 21948568968942
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 6 7 9 11 14 18 21 22 33 41 42 49 63 66 67 77 82 98 99 123 126 134 147 154 198 201 231 246 287 294 343 369 402 441 451 462 469 539 574 603 686 693 737 738 861 882 902 938 1029 1078 1206 1353 1386 1407 1474 1617 1722 2009 2058 2211 2401 2583 2706 2747 2814 3087 3157 3234 3283 3773 4018 4059 4221 4422 4802 4851 5159 5166 5494 6027 6174 6314 6566 6633 7203 7546 8118 8241 8442 9471 9702 9849 10318 11319 12054 13266 14063 14406 15477 16482 16807 18081 18942 19229 19698 21609 22099 22638 22981 24723 26411 28126 28413 29547 30217 30954 33614 33957 36113 36162 38458 42189 43218 44198 45962 46431 49446 50421 52822 56826 57687 59094 60434 66297 67914 68943 72226 79233 84378 90651 92862 98441 100842 108339 115374 117649 126567 132594 134603 137886 151263 154693 158466 160867 173061 181302 184877 196882 198891 206829 211519 216678 235298 237699 252791 253134 269206 271953 295323 302526 309386 321734 325017 346122 352947 369754 397782 403809 413658 423038 464079 475398 482601 505582 543906 554631 590646 634557 650034 689087 705894 758373 807618 823543 885969 928158 942221 965202 1058841 1082851 1109262 1126069 1211427 1269114 1294139 1378174 1392237 1447803 1480633 1516746 1647086 1663893 1769537 1771938 1884442 1903671 2067261 2117682 2165702 2252138 2275119 2422854 2470629 2588278 2784474 2826663 2895606 2961266 3248553 3327786 3378207 3539074 3807342 3882417 4134522 4441899 4550238 4823609 4941258 5308611 5653326 5764801 6201783 6497106 6595547 6756414 7411887 7579957 7764834 7882483 8479989 8883798 9058973 9647218 9745659 10134621 10364431 10617222 11529602 11647251 12386759 12403566 13191094 13325697 14470827 14823774 15159914 15764966 15925833 16959978 17294403 18117946 19491318 19786641 20269242 20728862 22739871 23294502 23647449 24773518 26651394 27176919 28941654 31093293 31851666 33765263 34588806 37160277 39573282 40353607 43412481 45479742 46168829 47294898 51883209 53059699 54353838 55177381 59359923 62186586 63412811 67530526 68219613 70942347 72551017 74320554 80707214 81530757 86707313 86824962 92337658 93279879 101295789 103766418 106119398 110354762 111480831 118719846 121060821 126825622 136439226 138506487 141884694 145102034 159179097 163061514 165532143 173414626 186559758 190238433 202591578 217653051 222961662 236356841 242121642 260121939 277012974 303887367 318358194 323181803 331064286 363182463 371417893 380476866 386241667 415519461 435306102 443889677 472713682 477537291 496596429 507857119 520243878 570715299 606951191 607774734 646363606 652959153 709070523 726364926 742835786 772483334 780365817 831038922 887779354 955074582 969545409 993192858 1015714238 1114253679 1141430598 1158725001 1213902382 1305918306 1331669031 1418141046 1523571357 1560731634 1654497887 1820853573 1939090818 2127211569 2228507358 2262272621 2317450002 2599925251 2663338062 2703691669 2908636227 3047142714 3308995774 3342761037 3476175003 3554999833 3641707146 3995007093 4248658337 4254423138 4524545242 4570714071 4963493661 5199850502 5407383338 5462560719 5817272454 6685522074 6786817863 6952350006 7109999666 7799775753 7990014186 8111075007 8497316674 9141428142 9926987322 10664999499 10925121438 12745975011 13573635726 14890480983 15599551506 15835908347 16222150014 18199476757 20360453589 21329998998 23399327259 24333225021 24884998831 25491950022 29740608359 29780961966 31671816694 31994998497 36398953514 38237925033 40720907178 46798654518 47507725041 48666450042 49769997662 54598430271 59481216718 63989996994 74654996493 76475850066 89221825077 95015450082 109196860542 110851358429 142523175123 149309992986 163795290813 174194991817 178443650154 221702716858 223964989479 267665475231 285046350246 327590581626 332554075287 348389983634 447929978958 522584975451 535330950462 665108150574 997662225861 1045169950902 1219364942719 1567754926353 1995324451722 2438729885438 3135509852706 3658094828157 7316189656314 10974284484471 21948568968942
- Sum of all divisors σ(n): 62926446046464
- Sum of proper divisors (its aliquot sum) s(n): 40977877077522
- 21948568968942 is an abundant number, because the sum of its proper divisors (40977877077522) is greater than itself. Its abundance is 19029308108580
Bases of 21948568968942
- Binary: 1001111110110010011001010100000011110111011102
- Hexadecimal: 0x13F64CA81EEE
- Base-36: 7S3179OFI
Squares and roots of 21948568968942
- 21948568968942 squared (219485689689422) is 481739679784403688960599364
- 21948568968942 cubed (219485689689423) is 10573496586824018516262243650371820952888
-
The
square root of 21948568968942 is 4684929.9854898579 -
The
cube root of 21948568968942 is 27998.5411522845
Scales and comparisons
How big is 21948568968942?- 21,948,568,968,942 seconds is equal to 697,896 years, 31 weeks, 2 days, 1 hour, 35 minutes, 42 seconds.
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To count from 1 to 21,948,568,968,942 would take you about one million, seven hundred forty-four thousand, seven hundred forty-one 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 21948568968942 cubic inches would be around 2333.2 feet tall.
Recreational maths with 21948568968942
- 21948568968942 backwards is 24986986584912
- The number of decimal digits it has is: 14
- The sum of 21948568968942's digits is 81
- More coming soon!
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