213340100400

Names of 213340100400

• Cardinal: 213340100400 can be written as Two hundred thirteen billion, three hundred forty million, one hundred thousand, four hundred.

Scientific notation

• Scientific notation: 2.133401004 × 10¹¹

Factors of 213340100400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 96

Divisors of 213340100400

• Number of divisors d(n): 1200
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 35 36 40 42 45 48 49 50 54 56 60 63 70 72 75 79 80 81 84 90 98 100 105 108 112 120 126 135 140 144 147 150 158 162 168 175 180 189 196 200 210 216 225 237 240 243 245 252 270 280 294 300 315 316 324 336 343 350 360 378 392 395 400 405 420 432 441 450 474 486 490 504 525 540 553 560 567 588 600 630 632 648 675 686 700 711 720 729 735 756 784 790 810 840 882 900 945 948 972 980 1008 1029 1050 1080 1106 1134 1176 1185 1200 1215 1225 1260 1264 1296 1323 1350 1372 1400 1422 1458 1470 1512 1575 1580 1620 1659 1680 1701 1715 1764 1800 1890 1896 1944 1960 1975 2025 2058 2100 2133 2160 2187 2205 2212 2268 2352 2370 2430 2450 2520 2646 2700 2744 2765 2800 2835 2844 2916 2940 3024 3087 3150 3160 3240 3318 3402 3430 3528 3555 3600 3645 3675 3780 3792 3871 3888 3920 3950 3969 4050 4116 4200 4266 4374 4410 4424 4536 4725 4740 4860 4900 4977 5040 5103 5145 5292 5400 5488 5530 5670 5688 5832 5880 5925 6075 6174 6300 6320 6399 6480 6561 6615 6636 6804 6860 7056 7110 7290 7350 7560 7742 7900 7938 8100 8232 8295 8400 8505 8532 8575 8748 8820 8848 9072 9261 9450 9480 9720 9800 9954 10206 10290 10584 10665 10800 10935 11025 11060 11340 11376 11613 11664 11760 11850 11907 12150 12348 12600 12798 13122 13230 13272 13608 13720 13825 14175 14220 14580 14700 14931 15120 15309 15435 15484 15800 15876 16200 16464 16590 17010 17064 17150 17496 17640 17775 18225 18522 18900 18960 19197 19355 19440 19600 19683 19845 19908 20412 20580 21168 21330 21870 22050 22120 22680 23226 23700 23814 24300 24696 24885 25200 25515 25596 25725 26244 26460 26544 27097 27216 27440 27650 27783 28350 28440 29160 29400 29862 30618 30870 30968 31600 31752 31995 32400 32805 33075 33180 34020 34128 34300 34839 34992 35280 35550 35721 36450 37044 37800 38394 38710 39366 39690 39816 40824 41160 41475 42525 42660 43740 44100 44240 44793 45360 45927 46305 46452 47400 47628 48600 49392 49770 51030 51192 51450 52488 52920 53325 54194 54675 55300 55566 56700 56880 57591 58065 58320 58800 59535 59724 61236 61740 61936 63504 63990 65610 66150 66360 68040 68600 69678 71100 71442 72900 74088 74655 75600 76545 76788 77175 77420 78732 79380 79632 81291 81648 82320 82950 83349 85050 85320 87480 88200 89586 91854 92610 92904 94800 95256 95985 96775 97200 98415 99225 99540 102060 102384 102900 104517 104976 105840 106650 107163 108388 109350 110600 111132 113400 115182 116130 119070 119448 122472 123480 124425 127575 127980 131220 132300 132720 134379 135485 136080 137200 137781 138915 139356 142200 142884 145800 148176 149310 153090 153576 154350 154840 157464 158760 159975 162582 164025 165900 166698 170100 170640 172773 174195 174960 176400 178605 179172 183708 185220 185808 190512 191970 193550 196830 198450 199080 204120 205800 209034 213300 214326 216776 218700 221200 222264 223965 226800 229635 230364 231525 232260 238140 238896 243873 244944 246960 248850 250047 255150 255960 262440 264600 268758 270970 275562 277830 278712 284400 285768 287955 290325 291600 297675 298620 306180 307152 308700 309680 313551 314928 317520 319950 321489 325164 328050 331800 333396 340200 345546 348390 357210 358344 367416 370440 373275 382725 383940 387100 393660 396900 398160 403137 406455 408240 411600 416745 418068 426600 428652 433552 437400 444528 447930 459270 460728 463050 464520 476280 479925 487746 492075 497700 500094 510300 511920 518319 522585 524880 529200 535815 537516 541940 551124 555660 557424 571536 575910 580650 595350 597240 612360 617400 627102 639900 642978 650328 656100 663600 666792 671895 677425 680400 688905 691092 694575 696780 714420 716688 731619 734832 740880 746550 750141 765450 767880 774200 787320 793800 806274 812910 833490 836136 853200 857304 863865 870975 874800 893025 895860 918540 921456 926100 929040 940653 952560 959850 964467 975492 984150 995400 1000188 1020600 1036638 1045170 1071630 1075032 1083880 1102248 1111320 1119825 1148175 1151820 1161300 1190700 1194480 1209411 1219365 1224720 1234800 1250235 1254204 1279800 1285956 1300656 1312200 1333584 1343790 1354850 1377810 1382184 1389150 1393560 1428840 1439775 1463238 1493100 1500282 1530900 1535760 1548400 1554957 1567755 1574640 1587600 1607445 1612548 1625820 1666980 1672272 1714608 1727730 1741950 1786050 1791720 1837080 1852200 1881306 1919700 1928934 1950984 1968300 1990800 2000376 2015685 2032275 2041200 2073276 2083725 2090340 2143260 2150064 2167760 2194857 2204496 2222640 2239650 2250423 2296350 2303640 2322600 2381400 2418822 2438730 2500470 2508408 2559600 2571912 2591595 2612925 2624400 2679075 2687580 2709700 2755620 2764368 2778300 2787120 2821959 2857680 2879550 2926476 2986200 3000564 3061800 3109914 3135510 3214890 3225096 3251640 3333960 3359475 3444525 3455460 3483900 3572100 3583440 3628233 3658095 3674160 3704400 3750705 3762612 3839400 3857868 3901968 3936600 4000752 4031370 4064550 4146552 4167450 4180680 4286520 4319325 4389714 4479300 4500846 4592700 4607280 4645200 4703265 4762800 4822335 4837644 4877460 5000940 5016816 5143824 5183190 5225850 5358150 5375160 5419400 5511240 5556600 5643918 5759100 5852952 5972400 6001128 6047055 6096825 6123600 6219828 6251175 6271020 6429780 6450192 6503280 6584571 6667920 6718950 6751269 6889050 6910920 6967800 7144200 7256466 7316190 7501410 7525224 7678800 7715736 7774785 7838775 7873200 8037225 8062740 8129100 8293104 8334900 8361360 8465877 8573040 8638650 8779428 8958600 9001692 9185400 9406530 9644670 9675288 9754920 10001880 10078425 10366380 10451700 10716300 10750320 10838800 10884699 10974285 11022480 11113200 11252115 11287836 11518200 11705904 12002256 12094110 12193650 12439656 12502350 12542040 12859560 12957975 13169142 13437900 13502538 13778100 13821840 13935600 14109795 14288400 14512932 14632380 15002820 15050448 15431472 15549570 15677550 16074450 16125480 16258200 16669800 16931754 17277300 17558856 17917200 18003384 18141165 18290475 18370800 18753525 18813060 19289340 19350576 19509840 19753713 20003760 20156850 20732760 20903400 21432600 21769398 21948570 22504230 22575672 23036400 23516325 24111675 24188220 24387300 24879312 25004700 25084080 25397631 25719120 25915950 26338284 26875800 27005076 27556200 28219590 29025864 29264760 30005640 30235275 31099140 31355100 32148900 32250960 32516400 32922855 33339600 33756345 33863508 34554600 35117712 36006768 36282330 36580950 37507050 37626120 38578680 38873925 39507426 40313700 41465520 41806800 42329385 42865200 43538796 43897140 45008460 45151344 47032650 48223350 48376440 48774600 50009400 50795262 51831900 52676568 53751600 54010152 54423495 54871425 55112400 56260575 56439180 58051728 58529520 59261139 60011280 60470550 62198280 62710200 64297800 65845710 67512690 67727016 69109200 70548975 72564660 73161900 75014100 75252240 76192893 77157360 77747850 79014852 80627400 84658770 87077592 87794280 90016920 90705825 94065300 96446700 96752880 97549200 98768565 100018800 101590524 103663800 105353136 108020304 108846990 109742850 112521150 112878360 118522278 120941100 124396560 125420400 126988155 128595600 131691420 135025380 135454032 141097950 145129320 146323800 150028200 152385786 155495700 158029704 161254800 164614275 168781725 169317540 174155184 175588560 177783417 180033840 181411650 188130600 192893400 197537130 203181048 207327600 211646925 217693980 219485700 225042300 225756720 237044556 241882200 253976310 263382840 270050760 272117475 282195900 290258640 292647600 296305695 300056400 304771572 310991400 316059408 329228550 337563450 338635080 355566834 362823300 376261200 380964465 385786800 395074260 406362096 423293850 435387960 438971400 450084600 474089112 483764400 493842825 507952620 526765680 533350251 540101520 544234950 564391800 592611390 609543144 621982800 634940775 658457100 675126900 677270160 711133668 725646600 761928930 790148520 846587700 870775920 877942800 888917085 900169200 948178224 987685650 1015905240 1066700502 1088469900 1128783600 1185222780 1219086288 1269881550 1316914200 1350253800 1422267336 1451293200 1481528475 1523857860 1580297040 1693175400 1777834170 1904822325 1975371300 2031810480 2133401004 2176939800 2370445560 2539763100 2633828400 2666751255 2700507600 2844534672 2963056950 3047715720 3386350800 3555668340 3809644650 3950742600 4266802008 4353879600 4444585425 4740891120 5079526200 5333502510 5926113900 6095431440 7111336680 7619289300 7901485200 8533604016 8889170850 10159052400 10667005020 11852227800 13333756275 14222673360 15238578600 17778341700 21334010040 23704455600 26667512550 30477157200 35556683400 42668020080 53335025100 71113366800 106670050200 213340100400
• Sum of all divisors σ(n): 907922048000
• Sum of proper divisors (its aliquot sum) s(n): 694581947600
• 213340100400 is an abundant number, because the sum of its proper divisors (694581947600) is greater than itself. Its abundance is 481241847200

Bases of 213340100400

• Binary: 11000110101100000011111001011100110000₂
• Hexadecimal: 0x31AC0F9730
• Base-36: 2Q096R00

Squares and roots of 213340100400

• 213340100400 squared (213340100400²) is 45513998438682080160000
• 213340100400 cubed (213340100400³) is 9709960996513878225015248064000000
• The square root of 213340100400 is 461887.5408581617
• The cube root of 213340100400 is 5975.2695071679

Scales and comparisons

• 213,340,100,400 seconds is equal to 6,783 years, 28 weeks, 6 days, 3 hours.
• To count from 1 to 213,340,100,400 would take you about thirteen thousand, five hundred sixty-seven 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 213340100400 cubic inches would be around 497.9 feet tall.

Recreational maths with 213340100400

• 213340100400 backwards is 004001043312
• 213340100400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 213340100400's digits is 18
• More coming soon!