213214129200
213,214,129,200 is an even composite number composed of five prime numbers multiplied together.
213214129200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred eighty divisors.
Prime factorization of 213214129200:
24 × 312 × 52 × 17 × 59
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 59)See below for interesting mathematical facts about the number 213214129200 from the Numbermatics database.
Names of 213214129200
- Cardinal: 213214129200 can be written as Two hundred thirteen billion, two hundred fourteen million, one hundred twenty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 2.132141292 × 1011
Factors of 213214129200
Divisors of 213214129200
- Number of divisors d(n): 780
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 34 36 40 45 48 50 51 54 59 60 68 72 75 80 81 85 90 100 102 108 118 120 135 136 144 150 153 162 170 177 180 200 204 216 225 236 240 243 255 270 272 295 300 306 324 340 354 360 400 405 408 425 432 450 459 472 486 510 531 540 590 600 612 648 675 680 708 720 729 765 810 816 850 885 900 918 944 972 1003 1020 1062 1080 1180 1200 1215 1224 1275 1296 1350 1360 1377 1416 1458 1475 1530 1593 1620 1700 1770 1800 1836 1944 2006 2025 2040 2124 2160 2187 2295 2360 2430 2448 2550 2655 2700 2754 2832 2916 2950 3009 3060 3186 3240 3400 3540 3600 3645 3672 3825 3888 4012 4050 4080 4131 4248 4374 4425 4590 4720 4779 4860 5015 5100 5310 5400 5508 5832 5900 6018 6075 6120 6372 6480 6561 6800 6885 7080 7290 7344 7650 7965 8024 8100 8262 8496 8748 8850 9027 9180 9558 9720 10030 10200 10620 10800 10935 11016 11475 11664 11800 12036 12150 12240 12393 12744 13122 13275 13770 14160 14337 14580 15045 15300 15930 16048 16200 16524 17496 17700 18054 18225 18360 19116 19440 19683 20060 20400 20655 21240 21870 22032 22950 23600 23895 24072 24300 24786 25075 25488 26244 26550 27081 27540 28674 29160 30090 30600 31860 32400 32805 33048 34425 34992 35400 36108 36450 36720 37179 38232 39366 39825 40120 41310 42480 43011 43740 45135 45900 47790 48144 48600 49572 50150 52488 53100 54162 54675 55080 57348 58320 59049 60180 61200 61965 63720 65610 66096 68850 70800 71685 72216 72900 74358 75225 76464 78732 79650 80240 81243 82620 86022 87480 90270 91800 95580 97200 98415 99144 100300 103275 104976 106200 108324 109350 110160 111537 114696 118098 119475 120360 123930 127440 129033 131220 135405 137700 143370 144432 145800 148716 150450 157464 159300 162486 164025 165240 172044 174960 177147 180540 183600 185895 191160 196830 198288 200600 206550 212400 215055 216648 218700 223074 225675 229392 236196 238950 240720 243729 247860 258066 262440 270810 275400 286740 291600 295245 297432 300900 309825 314928 318600 324972 328050 330480 334611 344088 354294 358425 361080 371790 382320 387099 393660 401200 406215 413100 430110 433296 437400 446148 451350 472392 477900 487458 492075 495720 516132 524880 531441 541620 550800 557685 573480 590490 594864 601800 619650 637200 645165 649944 656100 669222 677025 688176 708588 716850 722160 731187 743580 774198 787320 812430 826200 860220 874800 885735 892296 902700 929475 944784 955800 974916 984150 991440 1003833 1032264 1062882 1075275 1083240 1115370 1146960 1161297 1180980 1203600 1218645 1239300 1290330 1299888 1312200 1338444 1354050 1417176 1433700 1462374 1476225 1487160 1548396 1574640 1624860 1652400 1673055 1720440 1771470 1784592 1805400 1858950 1911600 1935495 1949832 1968300 2007666 2031075 2064528 2125764 2150550 2166480 2193561 2230740 2322594 2361960 2437290 2478600 2580660 2624400 2657205 2676888 2708100 2788425 2834352 2867400 2924748 2952450 2974320 3011499 3096792 3225825 3249720 3346110 3440880 3483891 3542940 3610800 3655935 3717900 3870990 3899664 3936600 4015332 4062150 4251528 4301100 4387122 4428675 4461480 4645188 4723920 4874580 4957200 5019165 5161320 5314410 5353776 5416200 5576850 5734800 5806485 5849496 5904900 6022998 6093225 6193584 6451650 6499440 6580683 6692220 6967782 7085880 7311870 7435800 7741980 7873200 8030664 8124300 8365275 8503056 8602200 8774244 8857350 8922960 9034497 9290376 9677475 9749160 10038330 10322640 10451673 10628820 10832400 10967805 11153700 11612970 11698992 11809800 12045996 12186450 12903300 13161366 13286025 13384440 13935564 14171760 14623740 14871600 15057495 15483960 16061328 16248600 16730550 17204400 17419455 17548488 17714700 18068994 18279675 18580752 19354950 19498320 19742049 20076660 20903346 21257640 21935610 22307400 23225940 23619600 24091992 24372900 25095825 25806600 26322732 26572050 26768880 27871128 29032425 29247480 30114990 30967920 31355019 32497200 32903415 33461100 34838910 35096976 35429400 36137988 36559350 38709900 39484098 40153320 41806692 42515280 43871220 44614800 45172485 46451880 48183984 48745800 50191650 51613200 52258365 52645464 53144100 54839025 55742256 58064850 58494960 59226147 60229980 62710038 65806830 66922200 69677820 70858800 72275976 73118700 75287475 77419800 78968196 80306640 83613384 87097275 87742440 90344970 92903760 97491600 98710245 100383300 104516730 105290928 106288200 109678050 116129700 118452294 120459960 125420076 131613660 133844400 139355640 144551952 146237400 150574950 154839600 156775095 157936392 164517075 167226768 174194550 175484880 177678441 180689940 197420490 200766600 209033460 212576400 219356100 225862425 232259400 236904588 240919920 250840152 261291825 263227320 278711280 292474800 296130735 301149900 313550190 315872784 329034150 348389100 355356882 361379880 394840980 401533200 418066920 438712200 451724850 464518800 473809176 493551225 501680304 522583650 526454640 533035323 592261470 602299800 627100380 658068300 696778200 710713764 722759760 783875475 789681960 836133840 877424400 888392205 903449700 947618352 987102450 1045167300 1066070646 1184522940 1204599600 1254200760 1316136600 1393556400 1421427528 1480653675 1567750950 1579363920 1776784410 1806899400 1974204900 2090334600 2132141292 2369045880 2508401520 2632273200 2665176615 2842855056 2961307350 3135501900 3553568820 3613798800 3948409800 4180669200 4264282584 4441961025 4738091760 5330353230 5922614700 6271003800 7107137640 7896819600 8528565168 8883922050 10660706460 11845229400 12542007600 13325883075 14214275280 17767844100 21321412920 23690458800 26651766150 35535688200 42642825840 53303532300 71071376400 106607064600 213214129200
- Sum of all divisors σ(n): 827357458680
- Sum of proper divisors (its aliquot sum) s(n): 614143329480
- 213214129200 is an abundant number, because the sum of its proper divisors (614143329480) is greater than itself. Its abundance is 400929200280
Bases of 213214129200
- Binary: 110001101001001000110101101100001100002
- Hexadecimal: 0x31A48D6C30
- Base-36: 2PY66R00
Squares and roots of 213214129200
- 213214129200 squared (2132141292002) is 45460264890514292640000
- 213214129200 cubed (2132141292003) is 9692770791832338245391569088000000
-
The
square root of 213214129200 is 461751.1550608185 -
The
cube root of 213214129200 is 5974.0932006213
Scales and comparisons
How big is 213214129200?- 213,214,129,200 seconds is equal to 6,779 years, 28 weeks, 4 days, 3 hours.
-
To count from 1 to 213,214,129,200 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 213214129200 cubic inches would be around 497.8 feet tall.
Recreational maths with 213214129200
- 213214129200 backwards is 002921412312
- 213214129200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 213214129200's digits is 27
- More coming soon!
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The information we have on file for 213214129200 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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