212842400400

Names of 212842400400

• Cardinal: 212842400400 can be written as Two hundred twelve billion, eight hundred forty-two million, four hundred thousand, four hundred.

Scientific notation

• Scientific notation: 2.128424004 × 10¹¹

Factors of 212842400400

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 463

Divisors of 212842400400

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 19 20 21 24 25 28 30 34 35 36 38 40 42 45 48 50 51 56 57 60 63 68 70 72 75 76 79 80 84 85 90 95 100 102 105 112 114 119 120 126 133 136 140 144 150 152 153 158 168 170 171 175 180 190 200 204 210 225 228 237 238 240 252 255 266 272 280 285 300 304 306 315 316 323 331 336 340 342 350 357 360 380 395 399 400 408 420 425 450 456 474 475 476 504 510 525 532 553 560 570 595 600 612 630 632 646 662 665 680 684 700 711 714 720 760 765 790 798 816 840 850 855 900 912 948 950 952 969 993 1008 1020 1050 1064 1071 1106 1140 1185 1190 1197 1200 1224 1260 1264 1275 1292 1324 1330 1343 1360 1368 1400 1422 1425 1428 1501 1520 1530 1575 1580 1596 1615 1655 1659 1680 1700 1710 1785 1800 1896 1900 1904 1938 1975 1986 1995 2040 2100 2128 2142 2212 2261 2280 2317 2370 2380 2394 2448 2520 2550 2584 2648 2660 2686 2736 2765 2800 2844 2850 2856 2907 2975 2979 3002 3060 3150 3160 3192 3230 3310 3318 3325 3400 3420 3555 3570 3600 3792 3800 3825 3876 3950 3972 3990 4029 4080 4200 4275 4284 4424 4503 4522 4560 4634 4740 4760 4788 4845 4965 4977 5040 5100 5168 5296 5320 5355 5372 5530 5627 5688 5700 5712 5814 5925 5950 5958 5985 6004 6120 6289 6300 6320 6384 6460 6620 6636 6650 6715 6783 6800 6840 6951 7110 7140 7505 7600 7650 7752 7900 7944 7980 8058 8075 8275 8295 8400 8550 8568 8848 8925 9006 9044 9268 9401 9480 9520 9576 9690 9930 9954 9975 10200 10507 10640 10710 10744 11060 11254 11305 11376 11400 11585 11628 11850 11900 11916 11970 12008 12087 12240 12578 12600 12920 13240 13272 13300 13430 13509 13566 13680 13825 13902 14220 14280 14535 14895 15010 15300 15504 15800 15888 15960 16116 16150 16550 16590 16881 17100 17136 17775 17850 18012 18088 18536 18802 18867 18960 19152 19380 19860 19908 19950 20145 20349 20400 20853 21014 21420 21488 22120 22508 22515 22610 22800 23170 23256 23700 23800 23832 23940 24016 24174 24225 24825 24885 25156 25200 25517 25840 26149 26480 26544 26600 26775 26860 27018 27132 27650 27804 28135 28203 28440 28560 29070 29790 29925 30020 30600 31445 31521 31600 31920 32232 32300 33100 33180 33575 33762 33915 34200 34755 35550 35700 36024 36176 37072 37525 37604 37734 38760 39389 39720 39816 39900 40290 40698 41475 41706 42028 42840 44023 44240 45016 45030 45220 46340 46512 47005 47400 47600 47664 47880 48348 48450 49650 49770 50312 50643 51034 52298 52535 53200 53550 53720 54036 54264 55300 55608 56270 56406 56525 56601 56880 57925 58140 59580 59850 60040 60435 61200 62890 63042 64464 64600 66200 66360 67150 67524 67545 67830 68400 69510 71100 71400 72048 72675 74475 75050 75208 75468 76551 77520 78447 78778 79440 79632 79800 80580 81396 82950 83412 84056 84405 84609 85680 88046 90032 90060 90440 92680 94010 94335 94563 94800 95760 96696 96900 99300 99540 100624 100725 101286 101745 102068 104265 104596 105070 106913 107100 107440 108072 108528 110600 111216 112540 112575 112812 113050 113202 115850 116280 118167 119160 119700 120080 120870 124425 125780 126084 127585 129200 130745 132069 132400 132720 134300 135048 135090 135660 139020 140675 141015 142200 142800 145350 148950 150100 150416 150936 153102 156894 157225 157556 157605 159600 161160 162792 165900 166824 168112 168810 169218 169575 173775 176092 178619 180120 180880 183043 185360 188020 188670 189126 193392 193800 196945 198600 199080 201450 202572 203490 204136 208530 209192 210140 213826 214200 216144 220115 221200 225080 225150 225624 226100 226404 229653 231700 232560 235025 235341 236334 238320 239400 241740 248850 251560 252168 253215 255170 261490 262675 264138 268600 270096 270180 271320 278040 281350 282030 283005 284400 290700 297900 300200 301872 302175 306204 313788 314450 315112 315210 320739 322320 325584 331800 333648 337620 337725 338436 339150 347550 352184 354501 357238 360240 366086 376040 377340 378252 382755 387600 392235 393890 396207 397200 398160 402900 405144 406980 408272 417060 418384 420280 422025 423045 427652 428400 440230 444533 450160 450300 451248 452200 452808 459306 463400 470050 470682 471675 472668 472815 478800 483480 496831 497700 503120 504336 506430 508725 510340 521325 522980 525350 528276 534565 535857 537200 540360 542640 549129 556080 562700 564060 566010 581400 590835 595800 600400 604350 612408 627576 628900 630224 630420 637925 641478 653725 660345 663600 675240 675450 676872 678300 695100 704368 705075 709002 714476 732172 748391 752080 754680 756504 765510 784470 787780 788025 792414 805800 810288 813960 834120 840560 844050 846090 855304 880460 889066 893095 900600 904400 905616 915215 918612 926800 940100 941364 943350 945336 945630 962217 966960 984725 993662 995400 1012860 1017450 1020680 1042650 1045960 1050700 1056552 1069130 1071714 1080720 1098258 1100575 1125400 1128120 1132020 1148265 1162800 1176705 1181670 1191600 1208700 1224816 1255152 1257800 1260840 1266075 1275850 1282956 1307450 1320690 1333599 1350480 1350900 1353744 1356600 1390200 1410150 1415025 1418004 1428952 1464344 1490493 1496782 1509360 1513008 1531020 1568940 1575560 1576050 1584828 1603695 1607571 1611600 1627920 1647387 1668240 1688100 1692180 1710608 1760920 1772505 1778132 1786190 1801200 1830430 1837224 1880200 1882728 1886700 1890672 1891260 1913775 1924434 1961175 1969450 1981035 1987324 1990800 2025720 2034900 2041360 2085300 2091920 2101400 2113104 2115225 2138260 2143428 2196516 2201150 2222665 2245173 2250800 2256240 2264040 2296530 2353410 2363340 2364075 2417400 2484155 2515600 2521680 2532150 2551700 2565912 2614900 2641380 2667198 2672825 2679285 2701800 2713200 2745645 2780400 2820300 2830050 2836008 2857904 2928688 2954175 2980986 2993564 3062040 3111731 3137880 3151120 3152100 3169656 3207390 3215142 3294774 3301725 3376200 3384360 3477817 3521840 3545010 3556264 3572380 3660860 3674448 3741955 3760400 3765456 3773400 3782520 3827550 3848868 3922350 3938900 3962070 3974648 4000797 4051440 4069800 4170600 4202800 4230450 4276520 4286856 4393032 4402300 4445330 4465475 4471479 4490346 4528080 4576075 4593060 4706820 4726680 4728150 4811085 4834800 4968310 5064300 5103400 5131824 5229800 5282760 5334396 5345650 5358570 5403600 5491290 5640600 5660100 5672016 5741325 5883525 5908350 5961972 5987128 6124080 6223462 6275760 6304200 6339312 6414780 6430284 6589548 6603450 6667995 6735519 6752400 6768720 6955634 7090020 7112528 7144760 7321720 7452465 7483910 7546800 7565040 7655100 7697736 7844700 7877800 7924140 7949296 8001594 8018475 8037855 8139600 8236935 8341200 8446127 8460900 8553040 8573712 8786064 8804600 8862525 8890660 8930950 8942958 8980692 9152150 9186120 9335193 9413640 9453360 9456300 9622170 9905175 9936620 10128600 10206800 10433451 10459600 10565520 10668792 10691300 10717140 10982580 11113325 11225865 11281200 11320200 11482650 11767050 11816700 11923944 11974256 12420775 12446924 12608400 12829560 12860568 13179096 13206900 13335990 13396425 13471038 13728225 13911268 14180040 14289520 14643440 14904930 14967820 15310200 15395472 15558655 15689400 15755600 15848280 16003188 16036950 16075710 16473870 16892254 16921800 17389085 17609200 17725050 17781320 17861900 17885916 17961384 18304300 18372240 18670386 18709775 18827280 18912600 19244340 19810350 19873240 20003985 20257200 20866902 21337584 21382600 21434280 21965160 22226650 22357395 22451730 22640400 22965300 23534100 23633400 23847888 24055425 24841550 24893848 25338381 25659120 25721136 26358192 26413800 26671980 26792850 26942076 27456450 27822536 28005579 28360080 29809860 29935640 30620400 31117310 31300353 31378800 31696560 32006376 32073900 32151420 32947740 33339975 33677595 33784508 33843600 34778170 35450100 35562640 35723800 35771832 35922768 36608600 37262325 37340772 37419550 37825200 38488680 39620700 39746480 40007970 40189275 41184675 41733804 42230635 42765200 42868560 43930320 44453300 44714790 44903460 45930600 46675965 47068200 47266800 48110850 49683100 49787696 50676762 52167255 52827600 53343960 53585700 53884152 54912900 55645072 56011158 56129325 59122889 59619720 59871280 62234620 62600706 64012752 64147800 64302840 65895480 66679950 67355190 67569016 69556340 70900200 71447600 71543664 73217200 74524650 74681544 74839100 76015143 76977360 77793275 79241400 80015940 80378550 82369350 83467608 84461270 86945425 88906600 89429580 89806920 91861200 93351930 94136400 96221700 99366200 100019925 101353524 104334510 106687920 107171400 107768304 109825800 111786975 112022316 112258650 118245778 119239440 124469240 125201412 126691905 128295600 128605680 131790960 133359900 134710380 135138032 139112680 140027895 141800400 149049300 149363088 149678200 152030286 155586550 156501765 158482800 160031880 160757100 164738700 166935216 168387975 168922540 173890850 177368667 177813200 178859160 179613840 186703860 192443400 198732400 200039850 202707048 208669020 211153175 214342800 219651600 223573950 224044632 224517300 233379825 236491556 248938480 250402824 253383810 260836275 266719800 269420760 278225360 280055790 295614445 298098600 299356400 304060572 311173100 313003530 320063760 321514200 329477400 336775950 337845080 347781700 354737334 357718320 373407720 380075715 384886800 400079700 405414096 417338040 422306350 447147900 448089264 449034600 466759650 472983112 500805648 506767620 521672550 532106001 533439600 538841520 560111580 591228890 596197200 608121144 622346200 626007060 633459525 643028400 658954800 673551900 675690160 695563400 700139475 709474668 746815440 760151430 782508825 800159400 834676080 844612700 886843335 894295800 898069200 933519300 945966224 1013535240 1043345100 1064212002 1120223160 1182457780 1216242288 1244692400 1252014120 1266919050 1347103800 1391126800 1400278950 1418949336 1478072225 1520302860 1565017650 1600318800 1689225400 1773686670 1788591600 1867038600 1900378575 2027070480 2086690200 2128424004 2240446320 2364915560 2504028240 2533838100 2660530005 2694207600 2800557900 2837898672 2956144450 3040605720 3130035300 3378450800 3547373340 3734077200 3800757150 4173380400 4256848008 4434216675 4729831120 5067676200 5321060010 5601115800 5912288900 6081211440 6260070600 7094746680 7601514300 8513696016 8868433350 10135352400 10642120020 11202231600 11824577800 12520141200 13302650025 14189493360 15203028600 17736866700 21284240040 23649155600 26605300050 30406057200 35473733400 42568480080 53210600100 70947466800 106421200200 212842400400
• Sum of all divisors σ(n): 955624550400
• Sum of proper divisors (its aliquot sum) s(n): 742782150000
• 212842400400 is an abundant number, because the sum of its proper divisors (742782150000) is greater than itself. Its abundance is 529939749600

Bases of 212842400400

• Binary: 11000110001110011001010100101010010000₂
• Hexadecimal: 0x318E654A90
• Base-36: 2PS0VB80

Squares and roots of 212842400400

• 212842400400 squared (212842400400²) is 45301887408033920160000
• 212842400400 cubed (212842400400³) is 9642162458576473811476352064000000
• The square root of 212842400400 is 461348.4587597535
• The cube root of 212842400400 is 5970.6193308813

Scales and comparisons

• 212,842,400,400 seconds is equal to 6,767 years, 37 weeks, 6 days, 17 hours.
• To count from 1 to 212,842,400,400 would take you about thirteen thousand, five hundred thirty-five 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 212842400400 cubic inches would be around 497.6 feet tall.

Recreational maths with 212842400400

• 212842400400 backwards is 004004248212
• The number of decimal digits it has is: 12
• The sum of 212842400400's digits is 27
• More coming soon!