128213020800
128,213,020,800 is an even composite number composed of six prime numbers multiplied together.
128213020800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 128213020800:
27 × 36 × 52 × 17 × 53 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 53 × 61)See below for interesting mathematical facts about the number 128213020800 from the Numbermatics database.
Names of 128213020800
- Cardinal: 128213020800 can be written as One hundred twenty-eight billion, two hundred thirteen million, twenty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.282130208 × 1011
Factors of 128213020800
Divisors of 128213020800
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 53 54 60 61 64 68 72 75 80 81 85 90 96 100 102 106 108 120 122 128 135 136 144 150 153 159 160 162 170 180 183 192 200 204 212 216 225 240 243 244 255 265 270 272 288 300 305 306 318 320 324 340 360 366 384 400 405 408 424 425 432 450 459 477 480 486 488 510 530 540 544 549 576 600 610 612 636 640 648 675 680 720 729 732 765 795 800 810 816 848 850 864 900 901 915 918 954 960 972 976 1020 1037 1060 1080 1088 1098 1152 1200 1215 1220 1224 1272 1275 1296 1325 1350 1360 1377 1431 1440 1458 1464 1525 1530 1590 1600 1620 1632 1647 1696 1700 1728 1800 1802 1830 1836 1908 1920 1944 1952 2025 2040 2074 2120 2160 2176 2196 2295 2385 2400 2430 2440 2448 2544 2550 2592 2650 2700 2703 2720 2745 2754 2862 2880 2916 2928 3050 3060 3111 3180 3200 3233 3240 3264 3294 3392 3400 3456 3600 3604 3645 3660 3672 3816 3825 3888 3904 3975 4050 4080 4131 4148 4240 4293 4320 4392 4505 4575 4590 4770 4800 4860 4880 4896 4941 5088 5100 5184 5185 5300 5400 5406 5440 5490 5508 5724 5760 5832 5856 6075 6100 6120 6222 6360 6466 6480 6528 6588 6784 6800 6885 7155 7200 7208 7290 7320 7344 7632 7650 7776 7808 7950 8100 8109 8160 8235 8262 8296 8480 8586 8640 8784 9010 9150 9180 9333 9540 9600 9699 9720 9760 9792 9882 10176 10200 10368 10370 10600 10800 10812 10880 10980 11016 11448 11475 11664 11712 11925 12150 12200 12240 12393 12444 12720 12879 12932 12960 13176 13515 13600 13725 13770 14310 14400 14416 14580 14640 14688 14823 15264 15300 15552 15555 15900 16165 16200 16218 16320 16470 16524 16592 16960 17172 17280 17568 18020 18225 18300 18360 18666 19080 19398 19440 19520 19584 19764 20352 20400 20655 20740 21200 21465 21600 21624 21960 22032 22525 22896 22950 23328 23424 23850 24300 24327 24400 24480 24705 24786 24888 25440 25758 25864 25920 25925 26352 27030 27200 27450 27540 27999 28620 28800 28832 29097 29160 29280 29376 29646 30528 30600 31104 31110 31800 32330 32400 32436 32640 32940 33048 33184 33920 34344 34425 35136 35775 36040 36450 36600 36720 37332 38160 38637 38796 38880 39040 39528 40545 40800 41175 41310 41480 42400 42930 43200 43248 43920 44064 44469 45050 45792 45900 46656 46665 47700 48495 48600 48654 48800 48960 49410 49572 49776 50880 51516 51728 51840 51850 52704 54060 54400 54900 54961 55080 55998 57240 57664 58194 58320 58560 58752 59292 61056 61200 61965 62220 63600 64395 64660 64800 64872 65880 66096 66368 67575 68688 68850 70272 71550 72080 72900 72981 73200 73440 74115 74664 76320 77274 77592 77760 77775 79056 80825 81090 81600 82350 82620 82960 83997 84800 85860 86400 86496 87291 87840 88128 88938 90100 91584 91800 93312 93330 95400 96990 97200 97308 97600 97920 98820 99144 99552 101760 103032 103275 103456 103700 105408 107325 108120 109800 109922 110160 111996 114480 115328 116388 116640 117120 118584 121635 122400 123525 123930 124440 127200 128790 129320 129600 129744 131760 132192 132736 135150 137376 137700 139995 143100 144160 145485 145800 145962 146400 146880 148230 149328 152640 154548 155184 155520 155550 158112 161650 162180 163200 164700 164883 165240 165920 167994 169600 171720 172992 174582 175680 176256 177876 180200 183168 183600 186660 190800 193185 193980 194400 194616 195200 197640 198288 199104 202725 206064 206550 206912 207400 210816 214650 216240 218943 219600 219844 220320 222345 223992 228960 232776 233280 233325 237168 242475 243270 244800 247050 247860 248880 251991 254400 257580 258640 259200 259488 261873 263520 264384 270300 274752 274805 275400 279990 286200 288320 290970 291600 291924 292800 293760 296460 298656 305280 309096 309825 310368 311100 316224 321975 323300 324360 329400 329766 330480 331840 335988 343440 345984 349164 351360 355752 360400 364905 367200 370575 373320 381600 386370 387960 388800 389232 395280 396576 398208 405450 412128 413100 413824 414800 419985 429300 432480 436455 437886 439200 439688 440640 444690 447984 457920 465552 466560 466650 474336 484950 486540 489600 494100 494649 495720 497760 503982 508800 515160 517280 518976 523746 527040 528768 540600 549504 549610 550800 559980 572400 576640 581940 583200 583848 585600 592920 597312 608175 618192 619650 620736 622200 632448 643950 646600 648720 656829 658800 659532 660960 663680 671976 686880 698328 699975 711504 720800 727425 729810 734400 741150 746640 755973 763200 772740 775920 777600 778464 785619 790560 793152 810900 824256 824415 826200 829600 839970 858600 864960 872910 875772 878400 879376 881280 889380 895968 915840 931104 933300 948672 965925 969900 973080 988200 989298 991440 995520 1007964 1030320 1034560 1037952 1047492 1054080 1081200 1094715 1099220 1101600 1111725 1119960 1144800 1163880 1166400 1167696 1185840 1194624 1216350 1236384 1239300 1241472 1244400 1259955 1287900 1293200 1297440 1309365 1313658 1317600 1319064 1321920 1343952 1373760 1374025 1396656 1399950 1423008 1441600 1454850 1459620 1468800 1482300 1483947 1493280 1511946 1526400 1545480 1551840 1556928 1571238 1581120 1586304 1621800 1648512 1648830 1652400 1659200 1679940 1717200 1729920 1745820 1751544 1756800 1758752 1778760 1791936 1824525 1862208 1866600 1897344 1931850 1939800 1946160 1976400 1978596 1982880 1991040 2015928 2060640 2069120 2094984 2099925 2162400 2182275 2189430 2198440 2203200 2223450 2239920 2289600 2327760 2332800 2335392 2356857 2371680 2432700 2472768 2473245 2478600 2488800 2519910 2575800 2586400 2594880 2618730 2627316 2635200 2638128 2643840 2687904 2747520 2748050 2793312 2799900 2846016 2883200 2909700 2919240 2964600 2967894 2986560 3023892 3090960 3103680 3113856 3142476 3162240 3243600 3284145 3297660 3304800 3318400 3359880 3434400 3491640 3503088 3517504 3557520 3583872 3649050 3724416 3733200 3779865 3863700 3879600 3892320 3928095 3952800 3957192 3965760 4031856 4121280 4122075 4189968 4199850 4324800 4364550 4378860 4396880 4406400 4446900 4451841 4479840 4579200 4655520 4670784 4713714 4743360 4865400 4945536 4946490 4957200 4977600 5039820 5151600 5172800 5189760 5237460 5254632 5270400 5276256 5375808 5473575 5496100 5586624 5599800 5692032 5819400 5838480 5929200 5935788 5973120 6047784 6181920 6207360 6284952 6299775 6487200 6546825 6568290 6595320 6609600 6719760 6868800 6983280 7006176 7035008 7115040 7298100 7419735 7466400 7559730 7727400 7759200 7784640 7856190 7905600 7914384 7931520 8063712 8242560 8244150 8379936 8399700 8649600 8729100 8757720 8793760 8893800 8903682 8959680 9311040 9341568 9427428 9486720 9730800 9892980 9914400 9955200 10079640 10303200 10345600 10474920 10509264 10552512 10751616 10947150 10992200 11173248 11199600 11638800 11676960 11784285 11858400 11871576 12095568 12363840 12366225 12569904 12599550 12974400 13093650 13136580 13190640 13219200 13355523 13439520 13737600 13966560 14012352 14230080 14596200 14839470 14932800 15119460 15454800 15518400 15569280 15712380 15811200 15828768 16127424 16420725 16488300 16759872 16799400 17458200 17515440 17587520 17787600 17807364 17919360 18622080 18854856 18899325 19461600 19640475 19785960 19828800 20159280 20606400 20949840 21018528 21105024 21894300 21984400 22259205 22399200 23277600 23353920 23568570 23716800 23743152 24191136 24727680 24732450 25139808 25199100 25948800 26187300 26273160 26381280 26711046 26879040 27933120 28024704 28460160 29192400 29678940 29865600 30238920 30909600 31036800 31424760 31657536 32254848 32841450 32976600 33519744 33598800 34916400 35030880 35175040 35575200 35614728 37098675 37709712 37798650 38923200 39280950 39571920 39657600 40066569 40318560 41212800 41899680 42037056 43788600 43968800 44518410 44798400 46555200 46707840 47137140 47433600 47486304 48382272 49464900 50279616 50398200 52374600 52546320 52762560 53422092 53758080 55866240 58384800 58921425 59357880 60477840 61819200 62849520 63315072 65682900 65953200 66777615 67197600 69832800 70061760 71150400 71229456 74197350 75419424 75597300 77846400 78561900 79143840 80133138 80637120 83799360 84074112 87577200 87937600 89036820 89596800 93110400 94274280 94972608 96764544 98929800 100559232 100796400 104749200 105092640 105525120 106844184 111296025 116769600 117842850 118715760 120955680 123638400 125699040 131365800 131906400 133555230 134395200 139665600 140123520 142300800 142458912 148394700 150838848 151194600 157123800 158287680 160266276 161274240 167598720 175154400 175875200 178073640 188548560 189945216 197859600 200332845 201592800 209498400 210185280 213688368 222592050 233539200 235685700 237431520 241911360 251398080 262731600 263812800 267110460 268790400 279331200 284917824 296789400 301677696 302389200 314247600 316575360 320532552 333888075 350308800 356147280 377097120 395719200 400665690 403185600 418996800 420370560 427376736 445184100 471371400 474863040 483822720 502796160 525463200 527625600 534220920 569835648 593578800 604778400 628495200 641065104 667776150 700617600 712294560 754194240 791438400 801331380 806371200 837993600 854753472 890368200 942742800 949726080 1001664225 1050926400 1068441840 1187157600 1209556800 1256990400 1282130208 1335552300 1424589120 1508388480 1582876800 1602662760 1709506944 1780736400 1885485600 2003328450 2101852800 2136883680 2374315200 2419113600 2513980800 2564260416 2671104600 2849178240 3205325520 3561472800 3770971200 4006656900 4273767360 4748630400 5128520832 5342209200 6410651040 7122945600 7541942400 8013313800 8547534720 10684418400 12821302080 14245891200 16026627600 21368836800 25642604160 32053255200 42737673600 64106510400 128213020800
- Sum of all divisors σ(n): 520690903560
- Sum of proper divisors (its aliquot sum) s(n): 392477882760
- 128213020800 is an abundant number, because the sum of its proper divisors (392477882760) is greater than itself. Its abundance is 264264861960
Bases of 128213020800
- Binary: 11101110110100001011101110000100000002
- Hexadecimal: 0x1DDA177080
- Base-36: 1MWEQ000
Squares and roots of 128213020800
- 128213020800 squared (1282130208002) is 16438578702661232640000
- 128213020800 cubed (1282130208003) is 2107639833126741635825958912000000
-
The
square root of 128213020800 is 358068.4582590319 -
The
cube root of 128213020800 is 5042.4783729203
Scales and comparisons
How big is 128213020800?- 128,213,020,800 seconds is equal to 4,076 years, 40 weeks, 3 days.
-
To count from 1 to 128,213,020,800 would take you about eight thousand, one hundred fifty-three 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 128213020800 cubic inches would be around 420.2 feet tall.
Recreational maths with 128213020800
- 128213020800 backwards is 008020312821
- 128213020800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 128213020800's digits is 27
- More coming soon!
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The information we have on file for 128213020800 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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