218829010400

Names of 218829010400

• Cardinal: 218829010400 can be written as Two hundred eighteen billion, eight hundred twenty-nine million, ten thousand, four hundred.

Scientific notation

• Scientific notation: 2.188290104 × 10¹¹

Factors of 218829010400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 170

Divisors of 218829010400

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 4 5 7 8 10 11 13 14 16 20 22 23 25 26 28 32 35 40 44 46 50 52 55 56 65 70 77 80 88 91 92 100 104 109 110 112 115 130 140 143 154 160 161 175 176 182 184 200 208 218 220 224 230 253 260 275 280 286 299 308 322 325 350 352 364 368 385 400 416 436 440 455 460 506 520 545 550 560 572 575 598 616 644 650 700 715 728 736 763 770 800 805 872 880 910 920 1001 1012 1040 1090 1100 1120 1144 1150 1196 1199 1232 1265 1288 1300 1400 1417 1430 1456 1495 1526 1540 1610 1744 1760 1771 1820 1840 1925 2002 2024 2080 2093 2180 2200 2275 2288 2300 2392 2398 2464 2507 2530 2576 2600 2725 2800 2834 2860 2912 2990 3052 3080 3220 3289 3488 3542 3575 3640 3680 3815 3850 4004 4025 4048 4186 4360 4400 4550 4576 4600 4784 4796 5005 5014 5060 5152 5200 5450 5600 5668 5720 5980 5995 6104 6160 6325 6440 6578 7084 7085 7150 7280 7475 7630 7700 8008 8050 8096 8372 8393 8720 8800 8855 9100 9200 9568 9592 9919 10010 10028 10120 10400 10465 10900 11336 11440 11881 11960 11990 12208 12320 12535 12650 12880 13156 14168 14170 14300 14560 14950 15260 15400 15587 16016 16100 16445 16744 16786 17440 17549 17710 18200 18400 19075 19184 19838 20020 20056 20240 20930 21800 22672 22880 23023 23762 23920 23980 24416 25025 25070 25300 25760 26312 27577 28336 28340 28600 29900 29975 30520 30800 31174 32032 32200 32591 32890 33488 33572 35098 35420 35425 36400 38150 38368 39676 40040 40112 40480 41860 41965 43600 44275 45344 46046 47524 47840 47960 49595 50050 50140 50600 52325 52624 55154 56672 56680 57200 59405 59800 59950 61040 61600 62348 62675 64400 65182 65780 66976 67144 70196 70840 70850 72800 76300 77935 79352 80080 80224 82225 83167 83720 83930 87200 87745 88550 92092 95048 95920 99190 100100 100280 101200 104650 105248 109109 110308 113360 114400 115115 118810 119600 119900 122080 124696 125350 128800 130364 130691 131560 134288 137885 140392 141680 141700 152600 154453 155870 158704 160160 162955 164450 166334 167440 167860 175490 177100 184184 190096 191840 193039 198380 200200 200560 202400 209300 209825 218218 220616 226720 228137 230230 237620 239200 239800 247975 249392 250700 260728 261382 263120 268576 273263 275770 280784 283360 283400 297025 305200 308906 311740 317408 325910 328900 332668 334880 335720 350980 354200 358501 368368 380192 386078 389675 396760 400400 401120 415835 418600 419650 436436 438725 441232 456274 460460 475240 479600 495950 498784 501400 521456 522764 526240 545545 546526 551540 561568 566800 575575 594050 610400 617812 623480 651820 653455 657800 665336 671440 689425 701960 708400 717002 736736 772156 772265 779350 793520 800800 814775 831670 837200 839300 872872 877450 882464 912548 914837 920920 950480 959200 965195 991900 1002800 1042912 1045528 1081171 1091090 1093052 1103080 1133600 1140685 1151150 1188100 1235624 1246960 1303640 1306910 1315600 1330672 1342880 1366315 1378850 1403920 1416800 1434004 1544312 1544530 1558700 1587040 1629550 1663340 1674400 1678600 1698983 1745744 1754900 1792505 1825096 1829674 1841840 1900960 1912841 1930390 1983800 2005600 2079175 2091056 2162342 2182180 2186104 2206160 2281370 2302300 2376200 2471248 2493920 2509507 2607280 2613820 2631200 2661344 2727725 2732630 2757700 2807840 2868008 3005893 3088624 3089060 3117400 3259100 3267275 3326680 3357200 3397966 3491488 3509800 3552419 3585010 3650192 3659348 3683680 3825682 3860780 3861325 3967600 4158350 4182112 4324684 4364360 4372208 4412320 4562740 4574185 4604600 4752400 4825975 4942496 5019014 5214560 5227640 5405855 5455450 5465260 5515400 5703425 5736016 6011786 6177248 6178120 6234800 6518200 6534550 6653360 6714400 6795932 6831575 7019600 7104838 7170020 7300384 7318696 7651364 7721560 7722650 7935200 8316700 8494915 8649368 8728720 8744416 8962525 9125480 9148370 9209200 9504800 9564205 9651950 10038028 10455280 10811710 10910900 10930520 11030800 11406850 11472032 11892881 12023572 12356240 12469600 12547535 13036400 13069100 13306720 13591864 13663150 14039200 14209676 14340040 14637392 15029465 15302728 15443120 15445300 16633400 16989830 17298736 17457440 17762095 17925050 18250960 18296740 18418400 19128410 19303900 20076056 20910560 21041251 21623420 21821800 21861040 22061600 22813700 22870925 23785762 24047144 24712480 24866933 25095070 26072800 26138200 27029275 27183728 27326300 28419352 28680080 29274784 30058930 30605456 30886240 30890600 33266800 33979660 34597472 35524190 35850100 36501920 36593480 38256820 38607800 39076609 40152112 42082502 42474575 43246840 43643600 43722080 45627400 45741850 47571524 47821025 48094288 49733866 50190140 52276400 54058550 54367456 54652600 56838704 57360160 59464405 60117860 61210912 61781200 62737675 66533600 67959320 71048380 71700200 73186960 75147325 76513640 77215600 78153218 80304224 84165004 84949150 86493680 87287200 88810475 91254800 91483700 95143048 95642050 96188576 99467732 100380280 104552800 105206255 108117100 109305200 113677408 118928810 120235720 123562400 124334665 125475350 135918640 142096760 143400400 146373920 150294650 153027280 154431200 156306436 168330008 169898300 172987360 177620950 182509600 182967400 190286096 191284100 195383045 198935464 200760560 210412510 216234200 218610400 237857620 240471440 248669330 250950700 271837280 273536263 284193520 286800800 297322025 300589300 306054560 312612872 336660016 339796600 355241900 365934800 380572192 382568200 390766090 397870928 401521120 420825020 432468400 475715240 480942880 497338660 501901400 526031275 547072526 568387040 594644050 601178600 621673325 625225744 673320032 679593200 710483800 731869600 765136400 781532180 795741856 841650040 864936800 951430480 976915225 994677320 1003802800 1052062550 1094145052 1189288100 1202357200 1243346650 1250451488 1359186400 1367681315 1420967600 1530272800 1563064360 1683300080 1902860960 1953830450 1989354640 2007605600 2104125100 2188290104 2378576200 2404714400 2486693300 2735362630 2841935200 3126128720 3366600160 3907660900 3978709280 4208250200 4376580208 4757152400 4973386600 5470725260 6252257440 6838406575 7815321800 8416500400 8753160416 9514304800 9946773200 10941450520 13676813150 15630643600 16833000800 19893546400 21882901040 27353626300 31261287200 43765802080 54707252600 109414505200 218829010400
• Sum of all divisors σ(n): 755384652288
• Sum of proper divisors (its aliquot sum) s(n): 536555641888
• 218829010400 is an abundant number, because the sum of its proper divisors (536555641888) is greater than itself. Its abundance is 317726631488

Bases of 218829010400

• Binary: 11001011110011001110011011010111100000₂
• Hexadecimal: 0x32F339B5E0
• Base-36: 2SJ15528

Squares and roots of 218829010400

• 218829010400 squared (218829010400²) is 47886135792643308160000
• 218829010400 cubed (218829010400³) is 10478875707384154724835044864000000
• The square root of 218829010400 is 467791.6313915845
• The cube root of 218829010400 is 6026.0810066561

Scales and comparisons

• 218,829,010,400 seconds is equal to 6,958 years, 4 weeks, 3 days, 4 hours, 13 minutes, 20 seconds.
• To count from 1 to 218,829,010,400 would take you about thirteen thousand, nine hundred sixteen 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 218829010400 cubic inches would be around 502.2 feet tall.

Recreational maths with 218829010400

• 218829010400 backwards is 004010928812
• 218829010400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 218829010400's digits is 35
• More coming soon!