428825068000
428,825,068,000 is an even composite number composed of seven prime numbers multiplied together.
428825068000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 428825068000:
25 × 53 × 72 × 17 × 41 × 43 × 73
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 17 × 41 × 43 × 73)See below for interesting mathematical facts about the number 428825068000 from the Numbermatics database.
Names of 428825068000
- Cardinal: 428825068000 can be written as Four hundred twenty-eight billion, eight hundred twenty-five million, sixty-eight thousand.
Scientific notation
- Scientific notation: 4.28825068 × 1011
Factors of 428825068000
Divisors of 428825068000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 41 43 49 50 56 68 70 73 80 82 85 86 98 100 112 119 125 136 140 146 160 164 170 172 175 196 200 205 215 224 238 245 250 272 280 287 292 301 328 340 344 350 365 392 400 410 425 430 476 490 500 511 544 560 574 584 595 602 656 680 688 697 700 730 731 784 800 820 833 850 860 875 952 980 1000 1022 1025 1075 1120 1148 1168 1190 1204 1225 1241 1312 1360 1376 1394 1400 1435 1460 1462 1505 1568 1640 1666 1700 1720 1750 1763 1825 1904 1960 2000 2009 2044 2050 2107 2125 2150 2296 2336 2380 2408 2450 2482 2555 2720 2788 2800 2870 2920 2924 2975 2993 3010 3139 3280 3332 3400 3440 3485 3500 3526 3577 3650 3655 3808 3920 4000 4018 4088 4100 4165 4214 4250 4300 4592 4760 4816 4879 4900 4964 5110 5117 5125 5375 5576 5600 5740 5840 5848 5950 5986 6020 6125 6205 6278 6560 6664 6800 6880 6970 7000 7052 7154 7175 7300 7310 7525 7840 8036 8176 8200 8330 8428 8500 8600 8687 8815 9125 9184 9520 9632 9758 9800 9928 10045 10220 10234 10250 10535 10750 11152 11480 11680 11696 11900 11972 12040 12250 12341 12410 12556 12775 13328 13600 13940 14000 14104 14308 14350 14600 14620 14875 14965 15050 15695 16072 16352 16400 16660 16856 17000 17200 17374 17425 17630 17885 18250 18275 19040 19516 19600 19856 20090 20440 20468 20500 20825 20951 21070 21500 21973 22304 22960 23392 23800 23944 24080 24395 24500 24682 24820 25112 25550 25585 26656 27880 28000 28208 28616 28700 29200 29240 29750 29930 29971 30100 31025 31390 32144 32800 33320 33712 34000 34153 34400 34748 34850 35260 35770 35819 35875 36500 36550 37625 39032 39200 39712 40180 40880 40936 41000 41650 41902 42140 43000 43435 43946 44075 45920 47600 47888 48160 48790 49000 49364 49640 50224 50225 50881 51100 51170 52675 53363 55760 56416 57232 57400 58400 58480 59500 59860 59942 60200 60809 61705 62050 62780 63875 64288 66640 67424 68000 68306 69496 69700 70520 71540 71638 71750 73000 73100 74825 75250 78064 78475 80360 81760 81872 82000 83300 83804 84280 86000 86387 86870 87125 87892 88150 89425 91375 95200 95776 97580 98000 98728 99280 100448 100450 101762 102200 102340 104125 104755 105350 106726 109865 111520 114464 114800 116960 119000 119720 119884 120400 121618 121975 123410 124100 125560 127750 127925 128699 133280 136612 138992 139400 141040 143080 143276 143500 146000 146200 146657 149650 149855 150500 153811 155125 156128 156950 160720 163744 164000 166600 167608 168560 170765 172000 172774 173740 174250 175784 176300 178850 179095 182750 195160 196000 197456 198560 200900 203524 204400 204680 208250 209510 209797 210700 213452 217175 219730 220375 229600 238000 239440 239768 240800 243236 243950 246820 248200 251120 251125 254405 255500 255850 257398 263375 266815 273224 277984 278800 282080 286160 286552 287000 292000 292400 293314 299300 299710 301000 304045 307622 308525 310250 313900 321440 333200 335216 337120 341530 345548 347480 348500 351568 352600 356167 357700 358190 365500 373541 374125 390320 392375 394912 401800 407048 408800 409360 416500 419020 419594 421400 426904 431935 434350 439460 440750 447125 476000 478880 479536 486472 487900 493640 496400 502240 502250 508810 511000 511700 514796 523775 526750 533630 546448 549325 557600 572320 573104 574000 584800 586628 598600 599420 602000 608090 609875 615244 617050 620500 627800 639625 643495 666400 670432 683060 691096 694960 697000 703136 705200 712334 715400 716380 731000 733285 747082 748250 749275 769055 780640 784750 803600 814096 818720 833000 838040 839188 842800 853808 853825 863870 868700 878920 881500 894250 895475 900893 959072 972944 975800 987280 992800 1004500 1017620 1022000 1023400 1029592 1047550 1048985 1053500 1067260 1085875 1092896 1098650 1146208 1148000 1173256 1197200 1198840 1204000 1216180 1219750 1230488 1234100 1241000 1255600 1272025 1279250 1286990 1334075 1366120 1382192 1389920 1394000 1410400 1424668 1430800 1432760 1462000 1466570 1468579 1494164 1496500 1498550 1520225 1538110 1542625 1569500 1607200 1628192 1666000 1676080 1678376 1685600 1707616 1707650 1727740 1737400 1757840 1763000 1780835 1788500 1790950 1801786 1867705 1945888 1951600 1974560 2009000 2035240 2044000 2046800 2059184 2095100 2097970 2107000 2134520 2159675 2171750 2187883 2197300 2346512 2394400 2397680 2432360 2439500 2460976 2468200 2482000 2493169 2511200 2544050 2558500 2573980 2614787 2618875 2668150 2732240 2746625 2764384 2788000 2849336 2861600 2865520 2924000 2933140 2937158 2988328 2993000 2997100 3040450 3076220 3085250 3139000 3217475 3332000 3352160 3356752 3415300 3455480 3474800 3515680 3526000 3561670 3577000 3581900 3603572 3666425 3735410 3746375 3845275 3903200 4018000 4070480 4093600 4118368 4190200 4195940 4214000 4269040 4269125 4319350 4343500 4375766 4394600 4477375 4504465 4693024 4795360 4864720 4879000 4921952 4936400 4964000 4986338 5088100 5117000 5147960 5229574 5237750 5244925 5336300 5464480 5493250 5698672 5731040 5866280 5874316 5976656 5986000 5994200 6080900 6152440 6170500 6278000 6306251 6360125 6434950 6670375 6713504 6830600 6910960 6949600 7052000 7123340 7154000 7163800 7207144 7332850 7342895 7470820 7492750 7601125 7690550 8036000 8140960 8380400 8391880 8428000 8538080 8538250 8638700 8687000 8751532 8789200 8904175 8954750 9008930 9338525 9729440 9758000 9872800 9972676 10176200 10234000 10295920 10459148 10475500 10489850 10672600 10798375 10939415 10986500 11397344 11732560 11748632 11953312 11972000 11988400 12161800 12304880 12341000 12465845 12556000 12612502 12720250 12869900 13073935 13340750 13661200 13821920 14246680 14308000 14327600 14414288 14665700 14685790 14941640 14985500 15202250 15315181 15381100 16087375 16760800 16783760 17076500 17277400 17374000 17503064 17578400 17808350 17909500 18017860 18332125 18677050 19226375 19516000 19945352 20352400 20468000 20591840 20918296 20951000 20979700 21345200 21596750 21878830 21973000 22522325 23465120 23497264 23976800 24323600 24609760 24682000 24931690 25225004 25440500 25739800 26147870 26224625 26681500 27322400 28493360 28655200 28828576 29331400 29371580 29883280 29971000 30404500 30630362 30762200 31531255 32174750 33567520 34153000 34554800 34748000 35006128 35616700 35819000 36035720 36664250 36714475 37354100 38452750 39890704 40704800 41836592 41902000 41959400 42690400 43193500 43757660 43946000 44520875 45044650 46692625 46994528 48647200 49364000 49863380 50450008 50881000 51479600 52295740 52449250 53363000 54697075 56986720 58662800 58743160 59766560 59942000 60809000 61260724 61524400 62329225 63062510 64349500 65369675 68306000 69109600 70012256 71233400 71638000 72071440 73328500 73428950 74708200 76575905 76905500 79781408 83673184 83804000 83918800 86387000 87515320 87892000 89041750 90089300 93385250 99726760 100900016 101762000 102959200 104591480 104898500 106726000 107206267 109394150 112611625 117325600 117486320 119884000 121618000 122521448 123048800 124658450 126125020 128699000 130739350 136612000 142466800 143276000 144142880 146657000 146857900 149416400 153151810 153811000 157656275 167837600 172774000 175030640 178083500 180178600 183572375 186770500 199453520 201800032 203524000 209182960 209797000 213452000 214412534 218788300 225223250 234972640 243236000 245042896 249316900 252250040 257398000 261478700 273485375 284933600 293314000 293715800 298832800 306303620 307622000 311646125 315312550 326848375 345548000 350061280 356167000 360357200 367144750 373541000 382879525 398907040 418365920 419594000 428825068 437576600 450446500 490085792 498633800 504500080 514796000 522957400 536031335 546970750 586628000 587431600 612607240 615244000 623292250 630625100 653696750 712334000 720714400 734289500 747082000 765759050 788281375 839188000 857650136 875153200 900893000 997267600 1009000160 1045914800 1072062670 1093941500 1174863200 1225214480 1246584500 1261250200 1307393500 1424668000 1468579000 1494164000 1531518100 1576562750 1715300272 1750306400 1801786000 1914397625 1994535200 2091829600 2144125340 2187883000 2450428960 2493169000 2522500400 2614787000 2680156675 2937158000 3063036200 3153125500 3430600544 3603572000 3828795250 4288250680 4375766000 4986338000 5045000800 5229574000 5360313350 5874316000 6126072400 6306251000 7657590500 8576501360 8751532000 9972676000 10459148000 10720626700 12252144800 12612502000 13400783375 15315181000 17153002720 21441253400 25225004000 26801566750 30630362000 42882506800 53603133500 61260724000 85765013600 107206267000 214412534000 428825068000
- Sum of all divisors σ(n): 1378942621056
- Sum of proper divisors (its aliquot sum) s(n): 950117553056
- 428825068000 is an abundant number, because the sum of its proper divisors (950117553056) is greater than itself. Its abundance is 521292485056
Bases of 428825068000
- Binary: 1100011110101111111011101000001111000002
- Hexadecimal: 0x63D7F741E0
- Base-36: 5GZZDG4G
Squares and roots of 428825068000
- 428825068000 squared (4288250680002) is 183890938945204624000000
- 428825068000 cubed (4288250680003) is 78857044397761221160714432000000000
-
The
square root of 428825068000 is 654847.3623677505 -
The
cube root of 428825068000 is 7540.9614686229
Scales and comparisons
How big is 428825068000?- 428,825,068,000 seconds is equal to 13,635 years, 16 weeks, 1 day, 2 hours, 26 minutes, 40 seconds.
-
To count from 1 to 428,825,068,000 would take you about twenty-seven thousand, two hundred seventy 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 428825068000 cubic inches would be around 628.4 feet tall.
Recreational maths with 428825068000
- 428825068000 backwards is 000860528824
- 428825068000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 428825068000's digits is 43
- More coming soon!
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The information we have on file for 428825068000 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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