428268984000
428,268,984,000 is an even composite number composed of seven prime numbers multiplied together.
428268984000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 428268984000:
26 × 3 × 53 × 11 × 132 × 29 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 13 × 13 × 29 × 331)See below for interesting mathematical facts about the number 428268984000 from the Numbermatics database.
Names of 428268984000
- Cardinal: 428268984000 can be written as Four hundred twenty-eight billion, two hundred sixty-eight million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 4.28268984 × 1011
Factors of 428268984000
Divisors of 428268984000
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 29 30 32 33 39 40 44 48 50 52 55 58 60 64 65 66 75 78 80 87 88 96 100 104 110 116 120 125 130 132 143 145 150 156 160 165 169 174 176 192 195 200 208 220 232 240 250 260 264 275 286 290 300 312 319 320 325 330 331 338 348 352 375 377 390 400 416 429 435 440 464 480 500 507 520 528 550 572 580 600 624 638 650 660 662 676 696 704 715 725 750 754 780 800 825 832 845 858 870 880 928 957 960 975 993 1000 1014 1040 1056 1100 1131 1144 1160 1200 1248 1276 1300 1320 1324 1352 1375 1392 1430 1450 1500 1508 1560 1595 1600 1625 1650 1655 1690 1716 1740 1760 1856 1859 1885 1914 1950 1986 2000 2028 2080 2112 2145 2175 2200 2262 2288 2320 2400 2496 2535 2552 2600 2640 2648 2704 2750 2784 2860 2900 3000 3016 3120 3190 3250 3300 3310 3380 3432 3480 3520 3575 3625 3641 3718 3770 3828 3900 3972 4000 4056 4125 4147 4160 4225 4290 4303 4350 4400 4524 4576 4640 4785 4800 4875 4901 4965 5070 5104 5200 5280 5296 5408 5500 5568 5577 5655 5720 5800 6000 6032 6240 6380 6500 6600 6620 6760 6864 6960 7150 7250 7282 7436 7540 7656 7800 7944 7975 8000 8112 8250 8275 8294 8450 8580 8606 8700 8800 9048 9152 9280 9295 9425 9570 9599 9750 9802 9930 10140 10208 10400 10560 10592 10725 10816 10875 10923 11000 11154 11310 11440 11600 12000 12064 12441 12480 12675 12760 12909 13000 13200 13240 13520 13728 13920 14300 14500 14564 14703 14872 15080 15312 15600 15888 15950 16224 16500 16550 16588 16900 17160 17212 17400 17600 17875 18096 18205 18590 18850 19140 19198 19500 19604 19860 20280 20416 20735 20800 21125 21184 21450 21515 21750 21846 22000 22308 22620 22880 23200 23925 24000 24128 24505 24825 24882 25350 25520 25818 26000 26400 26480 27040 27456 27840 27885 28275 28600 28797 29000 29128 29406 29744 30160 30624 31200 31776 31900 32448 33000 33100 33176 33800 34320 34424 34800 35750 36192 36410 37180 37700 38280 38396 39000 39208 39720 39875 40560 41375 41470 42250 42900 43030 43500 43692 44000 44616 45240 45760 46400 46475 47125 47333 47850 47995 49010 49650 49764 50700 51040 51636 52000 52800 52960 53625 53911 54080 54615 55770 55939 56550 57200 57594 58000 58256 58812 59488 60320 61248 62205 62400 63375 63552 63800 64545 66000 66200 66352 67600 68640 68848 69600 71500 72384 72820 73515 74360 75400 76560 76792 78000 78416 79440 79750 81120 82750 82940 84500 85800 86060 87000 87384 88000 89232 90480 91025 92950 94250 94666 95700 95990 98020 99300 99528 101400 102080 103272 103675 104000 105589 105920 107250 107575 107822 109230 111540 111878 113100 114400 115188 116000 116512 117624 118976 119625 120640 122525 124125 124410 124787 126750 127600 129090 132000 132400 132704 135200 137280 137696 139200 139425 141375 141999 143000 143985 145640 147030 148720 150800 153120 153584 156000 156832 158880 159500 161733 162240 165500 165880 167817 169000 171600 172120 174000 174768 178464 180960 182050 185900 188500 189332 191400 191980 196040 198600 199056 202800 206544 207350 211178 214500 215150 215644 218460 223080 223756 226200 228800 230376 232000 232375 233024 235248 236665 239250 239975 245050 248250 248820 249574 253500 255200 258180 264000 264800 265408 269555 270400 273075 275392 278850 279695 282750 283998 286000 287970 291280 294060 297440 301600 306240 307168 311025 312000 313664 316767 317760 319000 322725 323466 331000 331760 335634 338000 343200 344240 348000 349536 356928 361920 364100 367575 371800 374361 377000 378664 382800 383960 392080 397200 398112 405600 413088 414700 422356 429000 430300 431288 436920 446160 447512 452400 455125 460752 464750 470496 473330 478500 479950 490100 496500 497640 499148 507000 510400 516360 518375 527945 529600 537875 539110 546150 557700 559390 565500 567996 572000 575940 582560 588120 594880 603200 612625 614336 615329 622050 623935 633534 638000 645450 646932 662000 663520 671268 676000 686400 688480 696000 697125 699072 709995 719925 728200 735150 743600 748722 754000 757328 765600 767920 784160 794400 796224 808665 811200 826176 829400 839085 844712 858000 860600 862576 873840 892320 895024 904800 910250 921504 929500 940992 946660 957000 959900 980200 993000 995280 998296 1014000 1032720 1036750 1055890 1075750 1078220 1092300 1115400 1118780 1131000 1135992 1144000 1151880 1165120 1176240 1183325 1199875 1225250 1230658 1244100 1247870 1267068 1276000 1290900 1293864 1324000 1327040 1342536 1347775 1352000 1365375 1372657 1376960 1394250 1398475 1419990 1439850 1456400 1470300 1487200 1497444 1508000 1514656 1531200 1535840 1555125 1568320 1583835 1588800 1613625 1617330 1622231 1658800 1678170 1689424 1716000 1721200 1725152 1747680 1784640 1790048 1809600 1820500 1837875 1843008 1845987 1859000 1871805 1893320 1914000 1919800 1960400 1986000 1990560 1996592 2028000 2065440 2073500 2111780 2151500 2156440 2184600 2230800 2237560 2262000 2271984 2303760 2352480 2366650 2399750 2450500 2461316 2488200 2495740 2534136 2552000 2581800 2587728 2639725 2648000 2685072 2695550 2730750 2745314 2788500 2796950 2839980 2879700 2912800 2940600 2974400 2994888 3016000 3029312 3071680 3076645 3110250 3119675 3167670 3227250 3234660 3244462 3317600 3356340 3378848 3432000 3442400 3450304 3495360 3549975 3580096 3599625 3641000 3675750 3691974 3718000 3743610 3786640 3828000 3839600 3920800 3972000 3981120 3993184 4043325 4056000 4117971 4130880 4147000 4195425 4223560 4303000 4312880 4369200 4461600 4475120 4524000 4543968 4607520 4704960 4733300 4799500 4866693 4901000 4922632 4976400 4991480 5068272 5163600 5175456 5279450 5370144 5391100 5461500 5490628 5577000 5593900 5679960 5759400 5825600 5881200 5916625 5989776 6153290 6220500 6239350 6335340 6454500 6469320 6488924 6635200 6712680 6738875 6757696 6863285 6884800 6992375 7099950 7199250 7282000 7351500 7383948 7436000 7487220 7573280 7656000 7679200 7841600 7919175 7944000 7986368 8086650 8111155 8235942 8294000 8390850 8447120 8606000 8625760 8738400 8923200 8950240 9048000 9087936 9215040 9229935 9359025 9466600 9599000 9733386 9802000 9845264 9952800 9982960 10136544 10327200 10350912 10558900 10740288 10782200 10923000 10981256 11154000 11187800 11359920 11518800 11762400 11833250 11979552 12306580 12441000 12478700 12670680 12909000 12938640 12977848 13198625 13425360 13477750 13726570 13984750 14199900 14398500 14564000 14703000 14767896 14872000 14974440 15146560 15358400 15383225 15598375 15838350 16173300 16222310 16471884 16588000 16781700 16894240 17212000 17251520 17476800 17749875 17844541 17900480 18459870 18718050 18933200 19198000 19466772 19604000 19690528 19905600 19965920 20216625 20273088 20589855 20654400 20977125 21117800 21564400 21846000 21962512 22308000 22375600 22719840 23037600 23524800 23666500 23959104 24333465 24613160 24882000 24957400 25341360 25818000 25877280 25955696 26397250 26850720 26955500 27453140 27969500 28399800 28797000 29128000 29406000 29535792 29948880 30766450 31196750 31676700 32346600 32444620 32943768 33176000 33563400 33788480 34316425 34424000 35499750 35689082 36919740 37436100 37866400 38396000 38933544 39208000 39381056 39595875 39931840 40433250 40555775 41179710 41954250 42235600 43128800 43692000 43925024 44616000 44751200 45439680 46075200 46149675 46795125 47333000 48666930 49226320 49764000 49914800 50682720 51636000 51754560 51911392 52794500 53533623 53701440 53911000 54906280 55939000 56799600 57594000 58812000 59071584 59897760 61532900 62393500 63353400 64693200 64889240 65887536 67126800 68632850 70999500 71378164 73839480 74872200 75732800 76792000 76916125 77867088 79191750 80866500 81111550 82359420 83908500 84471200 86257600 87384000 87850048 89222705 89502400 92299350 93590250 94666000 97333860 98452640 99528000 99829600 101365440 102949275 103272000 103822784 105589000 107067246 107822000 109812560 111878000 113599200 115188000 117624000 118143168 119795520 121667325 123065800 124787000 126706800 129386400 129778480 131775072 134253600 137265700 141999000 142756328 147678960 149744400 153832250 155734176 158383500 161733000 162223100 164718840 167817000 168942400 171582125 178445410 184598700 187180500 189332000 194667720 196905280 199659200 202778875 205898550 211178000 214134492 215644000 219625120 223756000 227198400 230376000 230748375 243334650 246131600 249574000 253413600 258772800 259556960 263550144 267668115 268507200 274531400 283998000 285512656 295357920 299488800 307664500 311468352 316767000 323466000 324446200 329437680 335634000 343164250 356890820 369197400 374361000 378664000 389335440 405557750 411797100 422356000 428268984 431288000 439250240 446113525 447512000 461496750 486669300 492263200 499148000 506827200 514746375 519113920 535336230 549062800 567996000 571025312 590715840 598977600 608336625 615329000 633534000 646932000 648892400 658875360 671268000 686328500 713781640 738394800 748722000 778670880 811115500 823594200 844712000 856537968 892227050 922993500 973338600 984526400 998296000 1029492750 1070672460 1098125600 1135992000 1142050624 1216673250 1230658000 1267068000 1293864000 1297784800 1317750720 1338340575 1342536000 1372657000 1427563280 1476789600 1497444000 1557341760 1622231000 1647188400 1713075936 1784454100 1845987000 1946677200 2058985500 2141344920 2196251200 2230567625 2433346500 2461316000 2534136000 2595569600 2676681150 2745314000 2855126560 2953579200 2994888000 3244462000 3294376800 3426151872 3568908200 3691974000 3893354400 4117971000 4282689840 4461135250 4866693000 4922632000 5353362300 5490628000 5710253120 6488924000 6588753600 6691702875 7137816400 7383948000 7786708800 8235942000 8565379680 8922270500 9733386000 10706724600 10981256000 12977848000 13383405750 14275632800 14767896000 16471884000 17130759360 17844541000 19466772000 21413449200 26766811500 28551265600 32943768000 35689082000 38933544000 42826898400 53533623000 71378164000 85653796800 107067246000 142756328000 214134492000 428268984000
- Sum of all divisors σ(n): 1733324935680
- Sum of proper divisors (its aliquot sum) s(n): 1305055951680
- 428268984000 is an abundant number, because the sum of its proper divisors (1305055951680) is greater than itself. Its abundance is 876786967680
Bases of 428268984000
- Binary: 1100011101101101101001000010110110000002
- Hexadecimal: 0x63B6D216C0
- Base-36: 5GQSAMYO
Squares and roots of 428268984000
- 428268984000 squared (4282689840002) is 183414322656392256000000
- 428268984000 cubed (4282689840003) is 78550665615101292582587904000000000
-
The
square root of 428268984000 is 654422.6340828991 -
The
cube root of 428268984000 is 7537.7004481785
Scales and comparisons
How big is 428268984000?- 428,268,984,000 seconds is equal to 13,617 years, 32 weeks, 4 days, 22 hours, 40 minutes.
-
To count from 1 to 428,268,984,000 would take you about twenty-seven thousand, two hundred thirty-five 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 428268984000 cubic inches would be around 628.1 feet tall.
Recreational maths with 428268984000
- 428268984000 backwards is 000489862824
- The number of decimal digits it has is: 12
- The sum of 428268984000's digits is 51
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 428268984000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 June 2024.
APA style:
Numbermatics. (2024). Number 428268984000 - Facts about the integer. Retrieved 11 June 2024, from https://numbermatics.com/n/428268984000/
Chicago style:
Numbermatics. 2024. "Number 428268984000 - Facts about the integer". https://numbermatics.com/n/428268984000/
The information we have on file for 428268984000 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!
Keywords: Divisors of 428268984000, math, Factors of 428268984000, curriculum, school, college, exams, university, Prime factorization of 428268984000, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight billion, two hundred sixty-eight million, nine hundred eighty-four thousand.