218918968800

Names of 218918968800

• Cardinal: 218918968800 can be written as Two hundred eighteen billion, nine hundred eighteen million, nine hundred sixty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 2.189189688 × 10¹¹

Factors of 218918968800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 428

Divisors of 218918968800

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 40 42 47 48 50 51 56 60 68 70 75 80 84 85 94 96 100 102 105 112 119 120 136 140 141 150 160 168 170 175 188 200 204 210 224 235 238 240 255 272 280 282 300 329 336 340 347 350 357 376 400 408 420 425 470 476 480 510 525 544 560 564 595 600 658 672 680 694 700 705 714 752 799 800 816 840 850 940 952 987 1020 1041 1050 1120 1128 1175 1190 1200 1275 1316 1360 1388 1400 1410 1428 1504 1598 1632 1645 1680 1700 1735 1785 1880 1904 1974 2040 2082 2100 2209 2256 2350 2380 2397 2400 2429 2550 2632 2720 2776 2800 2820 2856 2975 3196 3290 3360 3400 3470 3525 3570 3760 3808 3948 3995 4080 4164 4200 4418 4512 4700 4760 4794 4858 4935 5100 5205 5264 5552 5593 5600 5640 5712 5899 5950 6392 6580 6627 6800 6940 7050 7140 7287 7520 7896 7990 8160 8225 8328 8400 8675 8836 8925 9400 9520 9588 9716 9870 10200 10410 10528 11045 11104 11186 11280 11424 11798 11900 11985 12145 12784 13160 13254 13600 13880 14100 14280 14574 15463 15792 15980 16309 16450 16656 16779 16800 17350 17672 17697 17850 18800 19040 19176 19432 19740 19975 20400 20820 22090 22372 22560 23596 23800 23970 24290 24675 25568 26025 26320 26508 27760 27965 28200 28560 29148 29495 30926 31584 31960 32618 32900 33135 33312 33558 34700 35344 35394 35700 36435 37553 37600 38352 38864 39480 39950 40800 41293 41640 44180 44744 46389 47192 47600 47940 48580 48927 49350 52050 52640 53016 55225 55520 55930 56400 57120 58296 58990 59925 60725 61852 63920 65236 65800 66270 67116 69400 70688 70788 71400 72870 75106 76704 77315 77728 78960 79900 81545 82586 83280 83895 88360 88485 89488 92778 94384 95200 95880 97160 97854 98700 104100 106032 110450 111860 112659 112800 114163 116592 117980 119850 121450 123704 123879 127840 130472 131600 132540 134232 138800 139825 141576 142800 145740 147475 150212 154630 157920 159800 163090 165172 165675 166560 167790 176720 176970 178976 182175 185556 187765 188768 191760 194320 195708 197400 206465 208200 212064 220900 223720 225318 228326 231945 233184 235960 239700 242900 244635 247408 247758 260944 262871 263200 265080 268464 277253 277600 279650 283152 285600 291480 294950 300424 309260 319600 326180 330344 331350 335580 342489 353440 353940 364350 371112 375530 383520 386575 388640 391416 394800 407725 412930 416400 419475 441800 442425 447440 450636 456652 463890 471920 479400 485800 489270 494816 495516 521888 525742 530160 536928 554506 559300 563295 566304 570815 582960 589900 600848 618520 619395 639200 652360 660688 662700 671160 684978 707880 728700 742224 751060 766523 773150 782832 788613 789600 815450 825860 831759 832800 838950 883600 884850 894880 901272 913304 927780 938825 943840 958800 971600 978540 991032 1032325 1051484 1060320 1109012 1118600 1126590 1141630 1159725 1165920 1179800 1201696 1223175 1237040 1238790 1304720 1314355 1321376 1325400 1342320 1369956 1386265 1415760 1457400 1484448 1502120 1533046 1546300 1565664 1577226 1630900 1651720 1663518 1677900 1712445 1767200 1769700 1802544 1826608 1855560 1877650 1917600 1940771 1943200 1957080 1982064 2064650 2102968 2218024 2237200 2253180 2283260 2299569 2319450 2359600 2446350 2474080 2477580 2609440 2628710 2650800 2684640 2739912 2772530 2816475 2831520 2854075 2914800 3004240 3066092 3092600 3096975 3154452 3261800 3303440 3327036 3355800 3424890 3539400 3605088 3653216 3711120 3755300 3832615 3881542 3914160 3943065 3964128 4129300 4158795 4205936 4436048 4474400 4506360 4566520 4599138 4638900 4719200 4892700 4955160 5257420 5301600 5365661 5479824 5545060 5632950 5708150 5822313 5829600 6008480 6132184 6185200 6193950 6308904 6523600 6571775 6606880 6654072 6711600 6849780 6931325 7078800 7422240 7510600 7665230 7763084 7828320 7886130 8258600 8317590 8411872 8562225 8872096 9012720 9133040 9198276 9277800 9703855 9785400 9910320 10514840 10731322 10959648 11090120 11265900 11416300 11497845 11644626 12264368 12370400 12387900 12617808 13030891 13047200 13143550 13308144 13423200 13699560 13862650 14157600 15021200 15330460 15526168 15772260 16096983 16517200 16635180 17124450 18025440 18266080 18396552 18555600 19163075 19407710 19570800 19715325 19820640 20793975 21029680 21462644 22180240 22531800 22832600 22995690 23289252 24528736 24775800 25235616 26061782 26287100 26616288 26828305 27399120 27725300 29111565 30042400 30660920 31052336 31544520 32193966 33034400 33270360 34248900 36793104 37111200 38326150 38815420 39092673 39141600 39430650 41587950 42059360 42925288 44360480 45063600 45665200 45991380 46578504 48519275 49551600 52123564 52574200 53656610 54798240 55450600 57489225 58223130 61321840 62104672 63089040 64387932 65154455 66540720 68497800 73586208 76652300 77630840 78185346 78861300 80484915 83175900 85850576 90127200 91216237 91330400 91982760 93157008 97038550 99103200 104247128 105148400 107313220 110901200 114978450 116446260 122643680 126178080 128775864 130308910 133081440 134141525 136995600 145557825 153304600 155261680 156370692 157722600 160969830 166351800 171701152 182432474 183965520 186314016 194077100 195463365 208494256 210296800 214626440 221802400 229956900 232892520 257551728 260617820 268283050 273648711 273991200 291115650 306609200 310523360 312741384 315445200 321939660 325772275 332703600 364864948 367931040 388154200 390926730 402424575 416988512 429252880 456081185 459913800 465785040 515103456 521235640 536566100 547297422 582231300 613218400 625482768 630890400 643879320 651544550 665407200 729729896 776308400 781853460 804849150 858505760 912162370 919827600 931570080 977316825 1042471280 1073132200 1094594844 1164462600 1250965536 1287758640 1303089100 1368243555 1459459792 1552616800 1563706920 1609698300 1824324740 1839655200 1954633650 2084942560 2146264400 2189189688 2280405925 2328925200 2575517280 2606178200 2736487110 2918919584 3127413840 3219396600 3648649480 3909267300 4292528800 4378379376 4560811850 4657850400 5212356400 5472974220 6254827680 6438793200 6841217775 7297298960 7818534600 8756758752 9121623700 10424712800 10945948440 12877586400 13682435550 14594597920 15637069200 18243247400 21891896880 27364871100 31274138400 36486494800 43783793760 54729742200 72972989600 109459484400 218918968800
• Sum of all divisors σ(n): 883558948608
• Sum of proper divisors (its aliquot sum) s(n): 664639979808
• 218918968800 is an abundant number, because the sum of its proper divisors (664639979808) is greater than itself. Its abundance is 445721011008

Bases of 218918968800

• Binary: 11001011111000100101100101110111100000₂
• Hexadecimal: 0x32F8965DE0
• Base-36: 2SKIP9EO

Squares and roots of 218918968800

• 218918968800 squared (218918968800²) is 47925514900455373440000
• 218918968800 cubed (218918968800³) is 10491804301216725003903708672000000
• The square root of 218918968800 is 467887.7737235715
• The cube root of 218918968800 is 6026.9066472451

Scales and comparisons

• 218,918,968,800 seconds is equal to 6,960 years, 49 weeks, 1 day, 8 hours, 40 minutes.
• To count from 1 to 218,918,968,800 would take you about thirteen thousand, nine hundred twenty-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 218918968800 cubic inches would be around 502.2 feet tall.

Recreational maths with 218918968800

• 218918968800 backwards is 008869819812
• 218918968800 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 218918968800's digits is 60
• More coming soon!