214312550400

Names of 214312550400

• Cardinal: 214312550400 can be written as Two hundred fourteen billion, three hundred twelve million, five hundred fifty thousand, four hundred.

Scientific notation

• Scientific notation: 2.143125504 × 10¹¹

Factors of 214312550400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 66

Divisors of 214312550400

• Number of divisors d(n): 972
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 43 45 48 50 52 60 64 65 72 75 78 80 86 90 96 100 104 117 120 128 129 130 144 150 156 160 169 172 180 192 195 200 208 215 225 234 240 256 258 260 288 300 312 320 325 338 344 360 384 387 390 400 416 430 450 468 480 507 512 516 520 559 576 585 600 624 640 645 650 676 688 720 768 774 780 800 832 845 860 900 936 960 975 1014 1024 1032 1040 1075 1118 1152 1170 1200 1248 1280 1290 1300 1352 1376 1440 1521 1536 1548 1560 1600 1664 1677 1690 1720 1800 1872 1920 1935 1950 2028 2048 2064 2080 2150 2236 2304 2340 2400 2496 2535 2560 2580 2600 2704 2752 2795 2880 2925 3042 3072 3096 3120 3200 3225 3328 3354 3380 3440 3600 3744 3840 3870 3900 4056 4096 4128 4160 4225 4300 4472 4608 4680 4800 4992 5031 5070 5120 5160 5200 5408 5504 5590 5760 5850 6084 6144 6192 6240 6400 6450 6656 6708 6760 6880 7200 7267 7488 7605 7680 7740 7800 8112 8192 8256 8320 8385 8450 8600 8944 9216 9360 9600 9675 9984 10062 10140 10240 10320 10400 10816 11008 11180 11520 11700 12168 12288 12384 12480 12675 12800 12900 13312 13416 13520 13760 13975 14400 14534 14976 15210 15360 15480 15600 16224 16384 16512 16640 16770 16900 17200 17888 18432 18720 19200 19350 19968 20124 20280 20480 20640 20800 21632 21801 22016 22360 23040 23400 24336 24576 24768 24960 25155 25350 25600 25800 26624 26832 27040 27520 27950 28800 29068 29952 30420 30720 30960 31200 32448 32768 33024 33280 33540 33800 34400 35776 36335 36864 37440 38025 38400 38700 39936 40248 40560 40960 41280 41600 41925 43264 43602 44032 44720 46080 46800 48672 49152 49536 49920 50310 50700 51200 51600 53248 53664 54080 55040 55900 57600 58136 59904 60840 61440 61920 62400 64896 65403 65536 66048 66560 67080 67600 68800 71552 72670 73728 74880 76050 76800 77400 79872 80496 81120 81920 82560 83200 83850 86528 87204 88064 89440 92160 93600 97344 98304 99072 99840 100620 101400 102400 103200 106496 107328 108160 109005 110080 111800 115200 116272 119808 121680 122880 123840 124800 125775 129792 130806 131072 132096 133120 134160 135200 137600 143104 145340 147456 149760 152100 153600 154800 159744 160992 162240 163840 165120 166400 167700 173056 174408 176128 178880 181675 184320 187200 194688 196608 198144 199680 201240 202800 204800 206400 212992 214656 216320 218010 220160 223600 230400 232544 239616 243360 245760 247680 249600 251550 259584 261612 264192 266240 268320 270400 275200 286208 290680 294912 299520 304200 307200 309600 319488 321984 324480 327015 327680 330240 332800 335400 346112 348816 352256 357760 363350 368640 374400 389376 393216 396288 399360 402480 405600 409600 412800 425984 429312 432640 436020 440320 447200 460800 465088 479232 486720 491520 495360 499200 503100 519168 523224 528384 532480 536640 540800 545025 550400 572416 581360 589824 599040 608400 614400 619200 638976 643968 648960 654030 655360 660480 665600 670800 692224 697632 704512 715520 726700 737280 748800 778752 792576 798720 804960 811200 819200 825600 851968 858624 865280 872040 880640 894400 921600 930176 958464 973440 983040 990720 998400 1006200 1038336 1046448 1056768 1064960 1073280 1081600 1090050 1100800 1144832 1162720 1179648 1198080 1216800 1228800 1238400 1277952 1287936 1297920 1308060 1320960 1331200 1341600 1384448 1395264 1409024 1431040 1453400 1474560 1497600 1557504 1585152 1597440 1609920 1622400 1635075 1638400 1651200 1703936 1717248 1730560 1744080 1761280 1788800 1843200 1860352 1916928 1946880 1966080 1981440 1996800 2012400 2076672 2092896 2113536 2129920 2146560 2163200 2180100 2201600 2289664 2325440 2396160 2433600 2457600 2476800 2555904 2575872 2595840 2616120 2641920 2662400 2683200 2768896 2790528 2818048 2862080 2906800 2949120 2995200 3115008 3170304 3194880 3219840 3244800 3270150 3276800 3302400 3434496 3461120 3488160 3522560 3577600 3686400 3720704 3833856 3893760 3962880 3993600 4024800 4153344 4185792 4227072 4259840 4293120 4326400 4360200 4403200 4579328 4650880 4792320 4867200 4915200 4953600 5111808 5151744 5191680 5232240 5283840 5324800 5366400 5537792 5581056 5636096 5724160 5813600 5898240 5990400 6230016 6340608 6389760 6439680 6489600 6540300 6604800 6868992 6922240 6976320 7045120 7155200 7372800 7441408 7667712 7787520 7925760 7987200 8049600 8306688 8371584 8454144 8519680 8586240 8652800 8720400 8806400 9158656 9301760 9584640 9734400 9830400 9907200 10303488 10383360 10464480 10567680 10649600 10732800 11075584 11162112 11448320 11627200 11980800 12460032 12681216 12779520 12879360 12979200 13080600 13209600 13737984 13844480 13952640 14090240 14310400 14745600 14882816 15335424 15575040 15851520 15974400 16099200 16613376 16743168 16908288 17172480 17305600 17440800 17612800 18317312 18603520 19169280 19468800 19814400 20606976 20766720 20928960 21135360 21299200 21465600 22151168 22324224 22896640 23254400 23961600 24920064 25362432 25559040 25758720 25958400 26161200 26419200 27475968 27688960 27905280 28180480 28620800 29491200 29765632 31150080 31703040 31948800 32198400 33226752 33486336 34344960 34611200 34881600 35225600 36634624 37207040 38338560 38937600 39628800 41213952 41533440 41857920 42270720 42598400 42931200 44648448 45793280 46508800 47923200 49840128 50724864 51517440 51916800 52322400 52838400 54951936 55377920 55810560 57241600 59531264 62300160 63406080 63897600 64396800 66453504 66972672 68689920 69222400 69763200 70451200 73269248 74414080 76677120 77875200 79257600 82427904 83066880 83715840 84541440 85862400 89296896 91586560 93017600 95846400 99680256 103034880 103833600 104644800 105676800 109903872 110755840 111621120 114483200 119062528 124600320 126812160 127795200 128793600 133945344 137379840 138444800 139526400 140902400 148828160 155750400 158515200 164855808 166133760 167431680 171724800 178593792 183173120 186035200 191692800 199360512 206069760 207667200 209289600 211353600 219807744 223242240 228966400 238125056 249200640 253624320 257587200 267890688 274759680 276889600 279052800 297656320 311500800 317030400 329711616 332267520 334863360 343449600 357187584 366346240 372070400 383385600 412139520 415334400 418579200 422707200 446484480 457932800 476250112 498401280 515174400 535781376 549519360 553779200 558105600 595312640 623001600 634060800 659423232 669726720 686899200 714375168 744140800 824279040 830668800 837158400 892968960 915865600 952500224 996802560 1030348800 1071562752 1099038720 1116211200 1190625280 1246003200 1268121600 1339453440 1373798400 1428750336 1488281600 1648558080 1661337600 1674316800 1785937920 1831731200 2060697600 2143125504 2232422400 2381250560 2492006400 2678906880 2747596800 2857500672 2976563200 3297116160 3348633600 3571875840 4121395200 4286251008 4464844800 4762501120 4984012800 5357813760 5495193600 5953126400 6697267200 7143751680 8242790400 8572502016 8929689600 10715627520 11906252800 13394534400 14287503360 16485580800 17859379200 21431255040 23812505600 26789068800 35718758400 42862510080 53578137600 71437516800 107156275200 214312550400
• Sum of all divisors σ(n): 850642500708
• Sum of proper divisors (its aliquot sum) s(n): 636329950308
• 214312550400 is an abundant number, because the sum of its proper divisors (636329950308) is greater than itself. Its abundance is 422017399908

Bases of 214312550400

• Binary: 11000111100110000001100000000000000000₂
• Hexadecimal: 0x31E6060000
• Base-36: 2QGC5Q80

Squares and roots of 214312550400

• 214312550400 squared (214312550400²) is 45929869258952540160000
• 214312550400 cubed (214312550400³) is 9843347420424676914248024064000000
• The square root of 214312550400 is 462939.0352951455
• The cube root of 214312550400 is 5984.3346014775

Scales and comparisons

• 214,312,550,400 seconds is equal to 6,814 years, 24 weeks, 5 days, 8 hours.
• To count from 1 to 214,312,550,400 would take you about thirteen thousand, six hundred twenty-eight 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 214312550400 cubic inches would be around 498.7 feet tall.

Recreational maths with 214312550400

• 214312550400 backwards is 004055213412
• The number of decimal digits it has is: 12
• The sum of 214312550400's digits is 27
• More coming soon!