428414953200
428,414,953,200 is an even composite number composed of seven prime numbers multiplied together.
428414953200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 428414953200:
24 × 3 × 52 × 13 × 17 × 312 × 412
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 17 × 31 × 31 × 41 × 41)See below for interesting mathematical facts about the number 428414953200 from the Numbermatics database.
Names of 428414953200
- Cardinal: 428414953200 can be written as Four hundred twenty-eight billion, four hundred fourteen million, nine hundred fifty-three thousand, two hundred.
Scientific notation
- Scientific notation: 4.284149532 × 1011
Factors of 428414953200
Divisors of 428414953200
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 31 34 39 40 41 48 50 51 52 60 62 65 68 75 78 80 82 85 93 100 102 104 120 123 124 130 136 150 155 156 164 170 186 195 200 204 205 208 221 240 246 248 255 260 272 300 310 312 325 328 340 372 390 400 403 408 410 425 442 465 492 496 510 520 527 533 600 615 620 624 650 656 663 680 697 744 775 780 806 816 820 850 884 930 961 975 984 1020 1025 1040 1054 1066 1105 1200 1209 1230 1240 1271 1275 1300 1326 1360 1394 1488 1550 1560 1581 1599 1612 1640 1681 1700 1768 1860 1922 1950 1968 2015 2040 2050 2091 2108 2132 2210 2325 2418 2460 2480 2542 2550 2600 2635 2652 2665 2788 2883 3075 3100 3120 3162 3198 3224 3280 3315 3362 3400 3485 3536 3720 3813 3844 3900 4030 4080 4100 4182 4216 4264 4420 4650 4805 4836 4920 5043 5084 5100 5200 5270 5304 5330 5525 5576 5766 6045 6150 6200 6324 6355 6396 6448 6630 6724 6800 6851 6970 7440 7626 7688 7800 7905 7995 8060 8200 8364 8405 8432 8528 8840 9061 9300 9610 9672 9840 10075 10086 10168 10200 10455 10540 10608 10660 11050 11152 11532 12090 12300 12400 12493 12648 12710 12792 13175 13260 13325 13448 13702 13940 14415 15252 15376 15600 15810 15990 16120 16337 16400 16523 16575 16728 16810 17425 17680 18122 18600 19065 19220 19344 20150 20172 20336 20400 20553 20910 21080 21320 21607 21853 22100 23064 24025 24180 24600 24986 25215 25296 25420 25584 26350 26520 26650 26896 27183 27404 27880 28577 28830 30225 30504 31620 31775 31980 32240 32674 33046 33150 33456 33620 34255 34850 36244 37200 37479 38130 38440 39401 39525 39975 40300 40344 41106 41820 42025 42160 42640 43214 43706 44200 45305 46128 48050 48360 49011 49200 49569 49972 50430 50840 52111 52275 52700 53040 53300 54366 54808 55760 57154 57660 60450 61008 62465 63240 63550 63960 64821 65348 65559 66092 66300 67240 68510 69700 72075 72488 74958 76260 76880 78802 79050 79950 80600 80688 81685 82212 82615 83640 84050 85731 86428 87412 88400 90610 95325 96100 96720 98022 99138 99944 100860 101680 102765 104222 104550 105400 106600 108035 108732 109265 109616 114308 115320 118203 120900 124930 126075 126480 127100 127920 129642 130696 131118 132184 132600 134480 135915 137020 139400 142885 144150 144976 149916 152520 156333 157604 158100 159900 161200 163370 164424 165230 167280 168100 171275 171462 172856 174824 181220 187395 190650 192200 196044 197005 198276 199888 201720 205530 208444 209100 210800 212381 213200 216070 217464 218530 226525 228616 230640 236406 241800 245055 247845 249860 252150 254200 259284 260555 261392 262236 264368 265200 271830 274040 278800 280891 285770 288300 299832 305040 312325 312666 315208 316200 319800 324105 326740 327795 328848 330460 336200 342550 342924 345712 349648 362440 371501 374790 381300 384400 392088 394010 396552 403440 408425 411060 413075 416888 418200 424762 428655 432140 434928 437060 453050 457232 472812 483600 490110 495690 499720 504300 508400 512213 513825 518568 521110 524472 540175 543660 546325 548080 561782 571540 576600 591015 599664 624650 625332 630416 632400 637143 639600 648210 653480 655590 660920 669817 672400 677443 679575 685100 685848 714425 724880 743002 749580 762600 781665 784176 788020 793104 816850 822120 826150 833776 836400 842673 849524 857310 864280 874120 885887 906100 936975 945624 980220 985025 991380 999440 1008600 1024426 1027650 1037136 1042220 1048944 1061905 1080350 1087320 1092650 1114503 1123564 1143080 1153200 1182030 1225275 1239225 1249300 1250664 1274286 1296420 1302775 1306960 1311180 1321840 1339634 1354886 1359150 1370200 1371696 1404455 1428850 1486004 1499160 1525200 1536639 1563330 1576040 1615441 1620525 1633700 1638975 1644240 1652300 1685346 1699048 1714620 1728560 1748240 1771774 1812200 1857505 1873950 1891248 1960440 1970050 1982760 2009451 2017200 2032329 2048852 2055300 2084440 2123810 2143275 2160700 2174640 2185300 2229006 2247128 2286160 2364060 2450550 2478450 2498600 2501328 2548572 2561065 2592840 2605550 2622360 2657661 2679268 2709772 2718300 2740400 2808910 2857700 2955075 2972008 2998320 3073278 3126660 3152080 3185715 3230882 3241050 3267400 3277950 3304600 3349085 3370692 3387215 3398096 3429240 3543548 3624400 3715010 3747900 3908325 3920880 3940100 3965520 4018902 4064658 4097704 4110600 4168880 4213365 4247620 4286550 4321400 4370600 4429435 4458012 4494256 4728120 4846323 4901100 4956900 4997200 5097144 5122130 5185680 5211100 5244720 5309525 5315322 5358536 5419544 5436600 5572515 5617820 5715400 5910150 5944016 6146556 6253320 6371430 6461764 6482100 6534800 6555900 6609200 6698170 6741384 6774430 6858480 7022275 7087096 7430020 7495800 7683195 7816650 7880200 8037804 8077205 8129316 8195408 8221200 8426730 8495240 8573100 8642800 8707621 8741200 8858870 8916024 9287525 9456240 9692646 9802200 9913800 10047255 10161645 10194288 10244260 10422200 10619050 10630644 10717072 10839088 10873200 11145030 11235640 11430800 11516531 11820300 12293112 12506640 12742860 12805325 12923528 12964200 13111800 13288305 13396340 13482768 13548860 14044550 14174192 14860040 14991600 15366390 15633300 15760400 15928575 16075608 16154410 16258632 16745425 16853460 16936075 16990480 17146200 17415242 17717740 17832048 18575050 19385292 19604400 19827600 20094510 20323290 20488520 20844400 21000733 21066825 21238100 21261288 22147175 22290060 22471280 23033062 23640600 24231615 24586224 25485720 25610650 25847056 25928400 26122863 26223600 26576610 26792680 27097720 27462497 27862575 28089100 29720080 30732780 31266600 31857150 32151216 32308820 32517264 33490850 33706920 33872150 34292400 34549593 34830484 35435480 37150100 38415975 38770584 40189020 40386025 40646580 40977040 42001466 42133650 42476200 42522576 43538105 44294350 44580120 46066124 47281200 48463230 50236275 50808225 50971440 51221300 52245726 53153220 53585360 54195440 54924994 55725150 56178200 57582655 61465560 62533200 63002199 63714300 64617640 66441525 66981700 67413840 67744300 69099186 69660968 70870960 74300200 76831950 77541168 80378040 80772050 81293160 82387491 84002932 84267300 84952400 87076210 88588700 89160240 92132248 96926460 100472550 101616450 102442600 104491452 105003665 106306440 109849988 111450300 112356400 115165310 121158075 122931120 126004398 127428600 129235280 130614315 132883050 133963400 135488600 137312485 138198372 139321936 148600400 153663900 160756080 161544100 162586320 164774982 168005864 168534600 172747965 174152420 177177400 184264496 193852920 200945100 203232900 204885200 208982904 210007330 212612880 217690525 219699976 222900600 230330620 242316150 252008796 254857200 261228630 265766100 267926800 270977200 274624970 276396744 287913275 307327800 315010995 323088200 329549964 336011728 337069200 345495930 348304840 354354800 357012461 387705840 401890200 406465800 411937455 417965808 420014660 435381050 439399952 445801200 460661240 484632300 504017592 522457260 525018325 531532200 549249940 552793488 575826550 614655600 630021990 646176400 653071575 659099928 686562425 690991860 696609680 714024922 803780400 812931600 823874910 840029320 863739825 870762100 921322480 969264600 1008035184 1044914520 1050036650 1063064400 1071037383 1098499880 1151653100 1260043980 1306143150 1318199856 1373124850 1381983720 1428049844 1575054975 1647749820 1680058640 1727479650 1741524200 1785062305 1938529200 2059687275 2089829040 2100073300 2142074766 2196999760 2303306200 2520087960 2612286300 2746249700 2763967440 2856099688 3150109950 3295499640 3454959300 3483048400 3570124610 4119374550 4200146600 4284149532 4606612400 5040175920 5224572600 5355186915 5492499400 5712199376 6300219900 6590999280 6909918600 7140249220 8238749100 8400293200 8568299064 8925311525 10449145200 10710373830 10984998800 12600439800 13819837200 14280498440 16477498200 17136598128 17850623050 21420747660 25200879600 26775934575 28560996880 32954996400 35701246100 42841495320 53551869150 71402492200 85682990640 107103738300 142804984400 214207476600 428414953200
- Sum of all divisors σ(n): 1657366078032
- Sum of proper divisors (its aliquot sum) s(n): 1228951124832
- 428414953200 is an abundant number, because the sum of its proper divisors (1228951124832) is greater than itself. Its abundance is 800536171632
Bases of 428414953200
- Binary: 1100011101111111000010101100110111100002
- Hexadecimal: 0x63BF8566F0
- Base-36: 5GT779IO
Squares and roots of 428414953200
- 428414953200 squared (4284149532002) is 183539372125358190240000
- 428414953200 cubed (4284149532003) is 78631011519442713604906296768000000
-
The
square root of 428414953200 is 654534.1497584369 -
The
cube root of 428414953200 is 7538.5567224403
Scales and comparisons
How big is 428414953200?- 428,414,953,200 seconds is equal to 13,622 years, 14 weeks, 9 hours, 40 minutes.
-
To count from 1 to 428,414,953,200 would take you about twenty-seven thousand, two hundred forty-four 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 428414953200 cubic inches would be around 628.2 feet tall.
Recreational maths with 428414953200
- 428414953200 backwards is 002359414824
- The number of decimal digits it has is: 12
- The sum of 428414953200's digits is 42
- More coming soon!
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Cite this page
MLA style:
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The information we have on file for 428414953200 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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