213824748800

Names of 213824748800

• Cardinal: 213824748800 can be written as Two hundred thirteen billion, eight hundred twenty-four million, seven hundred forty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 2.138247488 × 10¹¹

Factors of 213824748800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 467

Divisors of 213824748800

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 4 5 8 10 13 16 17 20 25 26 29 32 34 40 50 52 58 64 65 68 80 85 100 104 116 128 130 136 145 160 169 170 200 208 221 232 256 260 272 290 320 325 338 340 377 400 401 416 425 442 464 493 520 544 580 640 650 676 680 725 754 800 802 832 845 850 884 928 986 1040 1088 1105 1160 1280 1300 1352 1360 1450 1508 1600 1604 1664 1690 1700 1768 1856 1885 1972 2005 2080 2176 2210 2320 2465 2600 2704 2720 2873 2900 3016 3200 3208 3328 3380 3400 3536 3712 3770 3944 4010 4160 4225 4352 4420 4640 4901 4930 5200 5213 5408 5440 5525 5746 5800 6032 6400 6409 6416 6760 6800 6817 7072 7424 7540 7888 8020 8320 8450 8840 9280 9425 9802 9860 10025 10400 10426 10816 10880 11050 11492 11600 11629 12064 12325 12818 12832 13520 13600 13634 14144 14365 15080 15776 16040 16640 16900 17680 18560 18850 19604 19720 20050 20800 20852 21632 21760 22100 22984 23200 23258 24128 24505 24650 25636 25664 26065 27040 27200 27268 28288 28730 30160 31552 32045 32080 33800 34085 35360 37120 37700 39208 39440 40100 41600 41704 43264 44200 45968 46400 46516 48256 49010 49300 51272 51328 52130 54080 54400 54536 56576 57460 58145 60320 63104 64090 64160 67600 67769 68170 70720 71825 75400 78416 78880 80200 83200 83317 83408 88400 88621 91936 92800 93032 96512 98020 98600 102544 102656 104260 108160 108800 109072 114920 116290 120640 122525 126208 128180 128320 130325 135200 135538 136340 141440 143650 150800 151177 156832 157760 160225 160400 166634 166816 170425 176800 177242 183872 185600 186064 196040 197200 197693 205088 208520 216320 218144 229840 232580 241280 245050 256360 256640 260650 270400 271076 272680 282880 287300 290725 301600 302354 313664 315520 320450 320800 333268 333632 338845 340850 353600 354484 367744 372128 392080 394400 395386 410176 416585 417040 436288 443105 459680 465160 482560 490100 512720 513280 521300 540800 542152 545360 574600 581450 603200 604708 627328 631040 640900 641600 666536 667264 677690 681700 707200 708968 735488 744256 755885 784160 788800 790772 820352 833170 834080 872576 886210 919360 930320 980200 988465 1025440 1042600 1081600 1084304 1090720 1149200 1152073 1162900 1206400 1209416 1254656 1281800 1283200 1333072 1334528 1355380 1363400 1414400 1417936 1488512 1511770 1568320 1577600 1581544 1640704 1666340 1668160 1694225 1745152 1772420 1838720 1860640 1960400 1965301 1976930 2050880 2082925 2085200 2168608 2181440 2215525 2298400 2304146 2325800 2412800 2418832 2563600 2566400 2570009 2666144 2710760 2726800 2835872 2977024 3023540 3136640 3155200 3163088 3332680 3336320 3388450 3544840 3677440 3721280 3779425 3920800 3930602 3953860 4101760 4165850 4170400 4337216 4362880 4431050 4596800 4608292 4651600 4837664 4942325 5127200 5140018 5332288 5421520 5453600 5671744 5760365 6047080 6273280 6326176 6665360 6672640 6776900 7089680 7442560 7558850 7841600 7861204 7907720 8203520 8331700 8340800 8674432 8725760 8862100 9193600 9216584 9303200 9675328 9826505 9884650 10254400 10280036 10664576 10843040 10907200 11343488 11520730 12094160 12652352 12850045 13330720 13553800 14179360 14885120 15117700 15683200 15722408 15815440 16663400 16681600 17348864 17724200 18387200 18433168 18606400 19350656 19653010 19769300 20508800 20560072 21329152 21686080 21814400 22686976 23041460 24188320 25304704 25700090 26661440 27107600 28358720 28801825 30235400 31366400 31444816 31630880 33326800 33363200 33410117 35448400 36866336 37212800 38701312 39306020 39538600 41017600 41120144 43372160 43628800 46082920 48376640 49132525 50609408 51400180 53322880 54215200 56717440 57603650 60470800 62889632 63261760 64250225 66653600 66820234 70896800 73732672 74425600 78612040 79077200 82240288 86744320 92165840 96753280 98265050 102800360 106645760 108430400 113434880 115207300 120941600 125779264 126523520 128500450 133307200 133640468 141793600 147465344 157224080 158154400 164480576 167050585 184331680 193506560 196530100 205600720 216860800 230414600 241883200 251558528 253047040 257000900 266614400 267280936 283587200 294930688 314448160 316308800 328961152 334101170 368663360 393060200 411201440 433721600 460829200 483766400 503117056 514001800 533228800 534561872 567174400 628896320 632617600 657922304 668202340 737326720 786120400 822402880 835252925 921658400 967532800 1028003600 1069123744 1257792640 1265235200 1336404680 1474653440 1572240800 1644805760 1670505850 1843316800 2056007200 2138247488 2515585280 2672809360 3144481600 3289611520 3341011700 3686633600 4112014400 4276494976 5345618720 6288963200 6682023400 7373267200 8224028800 8552989952 10691237440 12577926400 13364046800 16448057600 21382474880 26728093600 42764949760 53456187200 106912374400 213824748800
• Sum of all divisors σ(n): 629293863240
• Sum of proper divisors (its aliquot sum) s(n): 415469114440
• 213824748800 is an abundant number, because the sum of its proper divisors (415469114440) is greater than itself. Its abundance is 201644365640

Bases of 213824748800

• Binary: 11000111001000111100101011110100000000₂
• Hexadecimal: 0x31C8F2BD00
• Base-36: 2Q89QG3K

Squares and roots of 213824748800

• 213824748800 squared (213824748800²) is 45721023199383101440000
• 213824748800 cubed (213824748800³) is 9776286300487063980372918272000000
• The square root of 213824748800 is 462411.8822002739
• The cube root of 213824748800 is 5979.7907929331

Scales and comparisons

• 213,824,748,800 seconds is equal to 6,798 years, 50 weeks, 1 day, 11 hours, 33 minutes, 20 seconds.
• To count from 1 to 213,824,748,800 would take you about thirteen thousand, five hundred ninety-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 213824748800 cubic inches would be around 498.3 feet tall.

Recreational maths with 213824748800

• 213824748800 backwards is 008847428312
• The number of decimal digits it has is: 12
• The sum of 213824748800's digits is 47
• More coming soon!