213213409920

Names of 213213409920

• Cardinal: 213213409920 can be written as Two hundred thirteen billion, two hundred thirteen million, four hundred nine thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 2.1321340992 × 10¹¹

Factors of 213213409920

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 588

Divisors of 213213409920

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 49 54 56 60 63 64 70 72 80 81 84 90 96 98 105 108 112 120 126 128 135 140 144 147 160 162 168 180 189 192 196 210 216 224 240 243 245 252 270 280 288 294 315 320 324 336 343 360 378 384 392 405 420 432 441 448 480 486 490 504 540 560 567 571 576 588 630 640 648 672 686 720 735 756 784 810 840 864 882 896 945 960 972 980 1008 1029 1080 1120 1134 1142 1152 1176 1215 1260 1296 1323 1344 1372 1440 1470 1512 1568 1620 1680 1701 1713 1715 1728 1764 1890 1920 1944 1960 2016 2058 2160 2205 2240 2268 2284 2352 2401 2430 2520 2592 2646 2688 2744 2835 2855 2880 2940 3024 3087 3136 3240 3360 3402 3426 3430 3456 3528 3780 3888 3920 3969 3997 4032 4116 4320 4410 4480 4536 4568 4704 4802 4860 5040 5139 5145 5184 5292 5488 5670 5710 5760 5880 6048 6174 6272 6480 6615 6720 6804 6852 6860 7056 7203 7560 7776 7840 7938 7994 8064 8232 8505 8565 8640 8820 9072 9136 9261 9408 9604 9720 10080 10278 10290 10368 10584 10976 11340 11420 11760 11907 11991 12005 12096 12348 12960 13230 13440 13608 13704 13720 14112 14406 15120 15417 15435 15552 15680 15876 15988 16464 17010 17130 17280 17640 18144 18272 18522 18816 19208 19440 19845 19985 20160 20556 20580 21168 21609 21952 22680 22840 23520 23814 23982 24010 24192 24696 25695 25920 26460 27216 27408 27440 27783 27979 28224 28812 30240 30834 30870 31104 31360 31752 31976 32928 34020 34260 35280 35973 36015 36288 36544 37044 38416 38880 39690 39970 40320 41112 41160 42336 43218 43904 45360 45680 46251 46305 47040 47628 47964 48020 49392 51390 51840 52920 54432 54816 54880 55566 55958 56448 57624 59535 59955 60480 61668 61740 63504 63952 64827 65856 68040 68520 70560 71946 72030 72576 73088 74088 76832 77085 77760 79380 79940 82224 82320 83349 83937 84672 86436 90720 91360 92502 92610 94080 95256 95928 96040 98784 102780 105840 107919 108045 108864 109632 109760 111132 111916 115248 119070 119910 120960 123336 123480 127008 127904 129654 131712 136080 137040 138753 138915 139895 141120 143892 144060 148176 153664 154170 155520 158760 159880 164448 164640 166698 167874 169344 172872 179865 181440 182720 185004 185220 190512 191856 192080 194481 195853 197568 205560 211680 215838 216090 217728 219264 219520 222264 223832 230496 231255 238140 239820 246672 246960 251811 254016 255808 259308 272160 274080 277506 277830 279790 282240 287784 288120 296352 307328 308340 317520 319760 323757 324135 328896 329280 333396 335748 345744 359730 362880 365440 370008 370440 381024 383712 384160 388962 391706 395136 411120 416745 419685 423360 431676 432180 444528 447664 460992 462510 476280 479640 493344 493920 503622 508032 511616 518616 539595 544320 548160 555012 555660 559580 575568 576240 583443 587559 592704 616680 635040 639520 647514 648270 657792 658560 666792 671496 691488 693765 719460 740016 740880 755433 762048 767424 768320 777924 783412 822240 833490 839370 846720 863352 864360 889056 895328 921984 925020 952560 959280 971271 972405 979265 986688 987840 1007244 1037232 1079190 1088640 1096320 1110024 1111320 1119160 1151136 1152480 1166886 1175118 1185408 1233360 1259055 1270080 1279040 1295028 1296540 1333584 1342992 1370971 1382976 1387530 1438920 1480032 1481760 1510866 1524096 1534848 1536640 1555848 1566824 1618785 1644480 1666980 1678740 1726704 1728720 1762677 1778112 1790656 1850040 1905120 1918560 1942542 1944810 1958530 1973376 1975680 2014488 2074464 2158380 2220048 2222640 2238320 2266299 2302272 2304960 2333772 2350236 2466720 2518110 2540160 2558080 2590056 2593080 2667168 2685984 2741942 2765952 2775060 2877840 2917215 2937795 2960064 2963520 3021732 3111696 3133648 3237570 3288960 3333960 3357480 3453408 3457440 3525354 3556224 3581312 3700080 3777165 3810240 3837120 3885084 3889620 3917060 4028976 4112913 4148928 4316760 4440096 4445280 4476640 4532598 4604544 4609920 4667544 4700472 4856355 4933440 5036220 5180112 5186160 5288031 5334336 5371968 5483884 5550120 5755680 5834430 5875590 5920128 5927040 6043464 6223392 6267296 6475140 6667920 6714960 6798897 6854855 6906816 6914880 7050708 7400160 7554330 7620480 7674240 7770168 7779240 7834120 8057952 8225826 8297856 8633520 8813385 8880192 8890560 8953280 9065196 9335088 9400944 9712710 9866880 10072440 10360224 10372320 10576062 10668672 10743936 10967768 11100240 11331495 11511360 11668860 11751180 12086928 12338739 12446784 12534592 12950280 13335840 13429920 13597794 13709710 13813632 13829760 14101416 14800320 15108660 15540336 15558480 15668240 15864093 16115904 16451652 17267040 17626770 17760384 17781120 17906560 18130392 18670176 18801888 19425420 20144880 20564565 20720448 20744640 21152124 21935536 22200480 22662990 23022720 23337720 23502360 24173856 24677478 24893568 25069184 25900560 26440155 26671680 26859840 27195588 27419420 28202832 29600640 30217320 31080672 31116960 31336480 31728186 32231808 32903304 33994485 34534080 35253540 36260784 37016217 37340352 37603776 38850840 40289760 41129130 41440896 41489280 42304248 43871072 44400960 45325980 46675440 47004720 47592279 48347712 49354956 51801120 52880310 53343360 53719680 54391176 54838840 56405664 60434640 61693695 62161344 62233920 62672960 63456372 65806608 67988970 69068160 70507080 72521568 74032434 74680704 75207552 77701680 79320465 80579520 82258260 84608496 87742144 88801920 90651960 93350880 94009440 95184558 96695424 98709912 103602240 105760620 108782352 109677680 111048651 112811328 120869280 123387390 124322688 124467840 125345920 126912744 131613216 135977940 141014160 145043136 148064868 155403360 158640930 161159040 164516520 169216992 175484288 181303920 185081085 186701760 188018880 190369116 197419824 207204480 211521240 217564704 219355360 222097302 225622656 237961395 241738560 246774780 253825488 263226432 271955880 282028320 290086272 296129736 310806720 317281860 329033040 333145953 338433984 362607840 370162170 373403520 376037760 380738232 394839648 423042480 435129408 438710720 444194604 475922790 483477120 493549560 507650976 526452864 543911760 555243255 564056640 592259472 621613440 634563720 658066080 666291906 676867968 725215680 740324340 761476464 789679296 846084960 870258816 877421440 888389208 951845580 987099120 1015301952 1087823520 1110486510 1128113280 1184518944 1269127440 1316132160 1332583812 1450431360 1480648680 1522952928 1579358592 1665729765 1692169920 1776778416 1903691160 1974198240 2030603904 2175647040 2220973020 2369037888 2538254880 2632264320 2665167624 2961297360 3045905856 3331459530 3384339840 3553556832 3807382320 3948396480 4351294080 4441946040 4738075776 5076509760 5330335248 5922594720 6091811712 6662919060 7107113664 7614764640 7896792960 8883892080 10153019520 10660670496 11845189440 13325838120 14214227328 15229529280 17767784160 21321340992 23690378880 26651676240 30459058560 35535568320 42642681984 53303352480 71071136640 106606704960 213213409920
• Sum of all divisors σ(n): 892281630240
• Sum of proper divisors (its aliquot sum) s(n): 679068220320
• 213213409920 is an abundant number, because the sum of its proper divisors (679068220320) is greater than itself. Its abundance is 465854810400

Bases of 213213409920

• Binary: 11000110100100100000100111001010000000₂
• Hexadecimal: 0x31A4827280
• Base-36: 2PY5RC00

Squares and roots of 213213409920

• 213213409920 squared (213213409920²) is 45459958169713954406400
• 213213409920 cubed (213213409920³) is 9692672696185274289995953471488000
• The square root of 213213409920 is 461750.3761990885
• The cube root of 213213409920 is 5974.0864827261

Scales and comparisons

• 213,213,409,920 seconds is equal to 6,779 years, 27 weeks, 2 days, 19 hours, 12 minutes.
• To count from 1 to 213,213,409,920 would take you about thirteen thousand, five hundred fifty-nine 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 213213409920 cubic inches would be around 497.8 feet tall.

Recreational maths with 213213409920

• 213213409920 backwards is 029904312312
• 213213409920 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 213213409920's digits is 36
• More coming soon!