12288319920

Names of 12288319920

• Cardinal: 12288319920 can be written as Twelve billion, two hundred eighty-eight million, three hundred nineteen thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.228831992 × 10¹⁰

Factors of 12288319920

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 246

Divisors of 12288319920

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 41 45 48 54 57 60 67 72 76 80 82 90 95 108 109 114 120 123 134 135 144 152 164 171 180 190 201 205 216 218 228 240 246 268 270 285 304 327 328 335 342 360 369 380 402 410 432 436 456 492 513 536 540 545 570 603 615 654 656 670 684 720 738 760 779 804 820 855 872 912 981 984 1005 1026 1072 1080 1090 1107 1140 1206 1230 1273 1308 1340 1368 1476 1520 1558 1608 1635 1640 1710 1744 1809 1845 1962 1968 2010 2052 2071 2160 2180 2214 2280 2337 2412 2460 2546 2565 2616 2680 2736 2747 2943 2952 3015 3116 3216 3270 3280 3420 3618 3690 3819 3895 3924 4020 4104 4142 4360 4428 4469 4560 4674 4824 4905 4920 5092 5130 5232 5360 5494 5535 5886 5904 6030 6213 6232 6365 6540 6840 7011 7236 7303 7380 7638 7790 7848 8040 8208 8241 8284 8720 8856 8938 9045 9348 9648 9810 9840 10184 10260 10355 10988 11070 11457 11685 11772 12060 12426 12464 12730 13080 13407 13680 13735 14022 14472 14606 14715 14760 15276 15580 15696 16080 16482 16568 17712 17876 18090 18639 18696 19095 19620 20368 20520 20710 21033 21909 21976 22140 22345 22914 23370 23544 24120 24723 24852 25460 26160 26814 27470 28044 28944 29212 29430 29520 30552 31065 31160 32964 33136 34371 35055 35752 36180 36515 37278 37392 38190 39240 40221 41040 41205 41420 42066 43818 43952 44280 44690 45828 46740 47088 48240 49446 49704 50920 52193 53628 54940 55917 56088 57285 58424 58860 61104 62130 62320 65727 65928 67035 68742 70110 71504 72360 73030 74169 74556 76380 78480 80442 82410 82840 84132 84911 87636 88560 89380 91656 93195 93480 98892 99408 101840 104386 105165 107256 109545 109880 111834 112176 114570 116848 117720 120663 123615 124260 131454 131856 134070 137484 138757 140220 144720 146060 148338 149112 152760 156579 160884 164820 165680 168264 169822 171855 175272 178760 183312 186390 186960 197181 197784 201105 208772 210330 214512 219090 219760 223668 229140 235440 241326 247230 248520 254733 260965 262908 268140 274968 277514 279585 280440 292120 296676 298224 299423 305520 313158 321768 328635 329640 336528 339644 343710 350544 357520 370845 372780 394362 395568 402210 416271 417544 420660 424555 438180 447336 458280 469737 482652 494460 497040 509466 521930 525816 536280 549936 555028 559170 560880 584240 593352 598846 603315 626316 643536 657270 659280 679288 687420 693785 741690 745560 764199 782895 788724 804420 832542 835088 841320 849110 876360 894672 898269 916560 939474 965304 985905 988920 1018932 1043860 1051632 1072560 1110056 1118340 1186704 1197692 1206630 1248813 1252632 1273665 1314540 1358576 1374840 1387570 1409211 1483380 1491120 1497115 1528398 1565790 1577448 1608840 1665084 1682640 1698220 1752720 1796538 1878948 1930608 1971810 1977840 2037864 2081355 2087720 2220112 2236680 2292597 2348685 2395384 2413260 2497626 2505264 2547330 2629080 2694807 2749680 2775140 2818422 2966760 2994230 3056796 3131580 3154896 3217680 3330168 3396440 3593076 3746439 3757896 3820995 3943620 4075728 4162710 4175440 4473360 4491345 4585194 4697370 4790768 4826520 4995252 5094660 5258160 5389614 5550280 5636844 5689037 5933520 5988460 6113592 6244065 6263160 6660336 6792880 7046055 7186152 7492878 7515792 7641990 7887240 8084421 8325420 8982690 9170388 9394740 9653040 9990504 10189320 10779228 11100560 11273688 11378074 11462985 11976920 12227184 12488130 12526320 13474035 14092110 14372304 14985756 15283980 15774480 16168842 16650840 17067111 17965380 18340776 18732195 18789480 19981008 20378640 21558456 22547376 22756148 22925970 23953840 24976260 26948070 28184220 28445185 29971512 30567960 32337684 33301680 34134222 35930760 36681552 37464390 37578960 40422105 43116912 45512296 45851940 49952520 51201333 53896140 56368440 56890370 59943024 61135920 64675368 68268444 71861520 74928780 80844210 85335555 91024592 91703880 99905040 102402666 107792280 112736880 113780740 129350736 136536888 149857560 153603999 161688420 170671110 183407760 204805332 215584560 227561480 256006665 273073776 299715120 307207998 323376840 341342220 409610664 455122960 512013330 614415996 646753680 682684440 768019995 819221328 1024026660 1228831992 1365368880 1536039990 2048053320 2457663984 3072079980 4096106640 6144159960 12288319920
• Sum of all divisors σ(n): 46747008000
• Sum of proper divisors (its aliquot sum) s(n): 34458688080
• 12288319920 is an abundant number, because the sum of its proper divisors (34458688080) is greater than itself. Its abundance is 22170368160

Bases of 12288319920

• Binary: 1011011100011100001110000110110000₂
• Hexadecimal: 0x2DC70E1B0
• Base-36: 5N85CC0

Squares and roots of 12288319920

• 12288319920 squared (12288319920²) is 151002806456268806400
• 12288319920 cubed (12288319920³) is 1855570794552472582559743488000
• The square root of 12288319920 is 110852.6946898451
• The cube root of 12288319920 is 2307.6193385543

Scales and comparisons

• 12,288,319,920 seconds is equal to 390 years, 37 weeks, 6 days, 22 hours, 12 minutes.
• To count from 1 to 12,288,319,920 would take you about seven hundred eighty-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 12288319920 cubic inches would be around 192.3 feet tall.

Recreational maths with 12288319920

• 12288319920 backwards is 02991388221
• 12288319920 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 12288319920's digits is 45
• More coming soon!