21648168000

Names of 21648168000

• Cardinal: 21648168000 can be written as Twenty-one billion, six hundred forty-eight million, one hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 2.1648168 × 10¹⁰

Factors of 21648168000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 155

Divisors of 21648168000

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 53 54 60 61 62 64 72 75 80 90 93 96 100 106 108 120 122 124 125 135 144 150 155 159 160 180 183 186 192 200 212 216 225 240 244 248 250 265 270 279 288 300 305 310 318 320 360 366 372 375 400 424 432 450 465 477 480 488 496 500 530 540 549 558 576 600 610 620 636 675 720 732 744 750 775 795 800 837 848 864 900 915 930 954 960 976 992 1000 1060 1080 1098 1116 1125 1200 1220 1240 1272 1325 1350 1395 1431 1440 1464 1488 1500 1525 1550 1590 1600 1643 1647 1674 1696 1728 1800 1830 1860 1891 1908 1952 1984 2000 2120 2160 2196 2232 2250 2325 2385 2400 2440 2480 2544 2650 2700 2745 2790 2862 2880 2928 2976 3000 3050 3100 3180 3233 3286 3294 3348 3375 3392 3600 3660 3720 3782 3816 3875 3904 3975 4000 4185 4240 4320 4392 4464 4500 4575 4650 4770 4800 4880 4929 4960 5088 5300 5400 5490 5580 5673 5724 5856 5952 6000 6100 6200 6360 6466 6572 6588 6625 6696 6750 6975 7155 7200 7320 7440 7564 7625 7632 7750 7950 8000 8215 8235 8370 8480 8640 8784 8928 9000 9150 9300 9455 9540 9699 9760 9858 9920 10176 10600 10800 10980 11160 11346 11448 11625 11712 11925 12000 12200 12400 12720 12932 13144 13176 13250 13392 13500 13725 13950 14310 14400 14640 14787 14880 15128 15250 15264 15500 15900 16165 16430 16470 16740 16960 17019 17568 17856 18000 18300 18600 18910 19080 19398 19520 19716 19875 20925 21200 21600 21960 22320 22692 22875 22896 23250 23850 24000 24400 24645 24800 25440 25864 26288 26352 26500 26784 27000 27450 27900 28365 28620 29097 29280 29574 29760 30256 30500 30528 31000 31800 32330 32860 32940 33480 34038 34875 35136 35775 36000 36600 37200 37820 38160 38796 39432 39750 41075 41175 41850 42400 43200 43920 44361 44640 45384 45750 45792 46500 47275 47700 48495 48800 49290 49600 50880 51057 51728 52576 52704 53000 53568 54000 54900 55800 56730 57240 58194 58560 59148 59625 60512 61000 62000 63600 64660 65720 65880 66960 68076 68625 69750 71550 72000 73200 73935 74400 75640 76320 77592 78864 79500 80825 82150 82350 83700 84800 85095 87291 87840 88722 89280 90768 91500 91584 93000 94550 95400 96990 97600 98580 100223 102114 103456 104625 105152 105408 106000 108000 109800 111600 113460 114480 116388 118296 119250 121024 122000 123225 124000 127200 129320 131440 131760 133920 136152 137250 139500 141825 143100 145485 146400 147870 148800 151280 152640 155184 157728 159000 161650 164300 164700 167400 170190 174582 175680 177444 178875 181536 183000 186000 189100 190800 193980 197160 200446 204228 205375 205875 206912 209250 212000 216000 219600 221805 223200 226920 228960 232776 236375 236592 238500 242475 244000 246450 248000 254400 255285 258640 262880 263520 267840 272304 274500 279000 283650 286200 290970 292800 295740 300669 302560 310368 315456 318000 323300 328600 329400 334800 340380 349164 354888 357750 363072 366000 369675 372000 378200 381600 387960 394320 400892 404125 408456 410750 411750 418500 424000 425475 436455 439200 443610 446400 453840 457920 465552 472750 473184 477000 484950 488000 492900 501115 510570 517280 525760 527040 544608 549000 558000 567300 572400 581940 591480 601338 605120 616125 620736 636000 646600 657200 658800 669600 680760 698328 709125 709776 715500 727425 732000 739350 744000 756400 763200 775920 788640 801784 808250 816912 821500 823500 837000 850950 872910 878400 887220 902007 907680 931104 945500 946368 954000 969900 985800 1002230 1021140 1034560 1089216 1098000 1109025 1116000 1134600 1144800 1163880 1182960 1202676 1212375 1232250 1272000 1276425 1293200 1314400 1317600 1339200 1361520 1396656 1418250 1419552 1431000 1454850 1464000 1478700 1503345 1512800 1551840 1577280 1603568 1616500 1633824 1643000 1647000 1674000 1701900 1745820 1774440 1804014 1815360 1848375 1862208 1891000 1908000 1939800 1971600 2004460 2042280 2127375 2182275 2196000 2218050 2232000 2269200 2289600 2327760 2365920 2405352 2424750 2464500 2505575 2552850 2586400 2628800 2635200 2706021 2723040 2793312 2836500 2839104 2862000 2909700 2957400 3006690 3025600 3103680 3207136 3233000 3267648 3286000 3294000 3348000 3403800 3491640 3548880 3608028 3637125 3696750 3782000 3816000 3879600 3943200 4008920 4084560 4254750 4364550 4392000 4436100 4510035 4538400 4655520 4731840 4810704 4849500 4929000 5011150 5105700 5172800 5412042 5446080 5545125 5586624 5673000 5724000 5819400 5914800 6013380 6382125 6414272 6466000 6572000 6588000 6696000 6807600 6983280 7097760 7216056 7274250 7393500 7516725 7564000 7759200 7886400 8017840 8169120 8509500 8729100 8872200 9020070 9076800 9311040 9621408 9699000 9858000 10022300 10211400 10824084 10911375 11090250 11346000 11448000 11638800 11829600 12026760 12527875 12764250 12932000 13144000 13176000 13530105 13615200 13966560 14195520 14432112 14548500 14787000 15033450 15128000 15518400 16035680 16338240 17019000 17458200 17744400 18040140 19242816 19398000 19716000 20044600 20422800 21648168 21822750 22180500 22550175 22692000 23277600 23659200 24053520 25055750 25528500 25864000 27060210 27230400 27933120 28864224 29097000 29574000 30066900 32071360 34038000 34916400 35488800 36080280 37583625 38796000 39432000 40089200 40845600 43296336 43645500 44361000 45100350 45384000 46555200 48107040 50111500 51057000 54120420 57728448 58194000 59148000 60133800 67650525 68076000 69832800 70977600 72160560 75167250 77592000 80178400 81691200 86592672 87291000 88722000 90200700 96214080 100223000 102114000 108240840 112750875 116388000 118296000 120267600 135301050 136152000 139665600 144321120 150334500 160356800 173185344 174582000 177444000 180401400 200446000 204228000 216481680 225501750 232776000 240535200 270602100 288642240 300669000 338252625 349164000 354888000 360802800 400892000 408456000 432963360 451003500 481070400 541204200 601338000 676505250 698328000 721605600 801784000 865926720 902007000 1082408400 1202676000 1353010500 1443211200 1804014000 2164816800 2405352000 2706021000 3608028000 4329633600 5412042000 7216056000 10824084000 21648168000
• Sum of all divisors σ(n): 84903137280
• Sum of proper divisors (its aliquot sum) s(n): 63254969280
• 21648168000 is an abundant number, because the sum of its proper divisors (63254969280) is greater than itself. Its abundance is 41606801280

Bases of 21648168000

• Binary: 10100001010010101001101010001000000₂
• Hexadecimal: 0x50A54D440
• Base-36: 9Y0RDC0

Squares and roots of 21648168000

• 21648168000 squared (21648168000²) is 468643177756224000000
• 21648168000 cubed (21648168000³) is 10145266244120600197632000000000
• The square root of 21648168000 is 147133.1641744987
• The cube root of 21648168000 is 2787.0219118805

Scales and comparisons

• 21,648,168,000 seconds is equal to 688 years, 17 weeks, 6 days, 12 hours.
• To count from 1 to 21,648,168,000 would take you about one thousand, three hundred seventy-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 21648168000 cubic inches would be around 232.3 feet tall.

Recreational maths with 21648168000

• 21648168000 backwards is 00086184612
• 21648168000 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 21648168000's digits is 36
• More coming soon!