428289214400
428,289,214,400 is an even composite number composed of six prime numbers multiplied together.
428289214400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred fifty-six divisors.
Prime factorization of 428289214400:
26 × 52 × 172 × 19 × 29 × 412
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 17 × 19 × 29 × 41 × 41)See below for interesting mathematical facts about the number 428289214400 from the Numbermatics database.
Names of 428289214400
- Cardinal: 428289214400 can be written as Four hundred twenty-eight billion, two hundred eighty-nine million, two hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 4.282892144 × 1011
Factors of 428289214400
Divisors of 428289214400
- Number of divisors d(n): 756
-
Complete list of divisors:
1 2 4 5 8 10 16 17 19 20 25 29 32 34 38 40 41 50 58 64 68 76 80 82 85 95 100 116 136 145 152 160 164 170 190 200 205 232 272 289 290 304 320 323 328 340 380 400 410 425 464 475 493 544 551 578 580 608 646 656 680 697 725 760 779 800 820 850 928 950 986 1025 1088 1102 1156 1160 1189 1216 1292 1312 1360 1394 1445 1450 1520 1558 1600 1615 1640 1681 1700 1856 1900 1972 2050 2204 2312 2320 2378 2465 2584 2624 2720 2755 2788 2890 2900 3040 3116 3230 3280 3362 3400 3485 3800 3895 3944 4100 4408 4624 4640 4756 4930 5168 5440 5491 5510 5576 5780 5800 5945 6080 6232 6460 6560 6724 6800 6970 7225 7600 7790 7888 8075 8200 8381 8405 8816 9248 9280 9367 9512 9860 10336 10982 11020 11152 11560 11600 11849 11890 12325 12464 12920 13120 13243 13448 13600 13775 13940 14450 15200 15580 15776 16150 16400 16762 16810 17425 17632 18496 18734 19024 19475 19720 20213 20672 21964 22040 22304 22591 23120 23200 23698 23780 24650 24928 25840 26486 26896 27200 27455 27550 27880 28577 28900 29725 30400 31160 31552 31939 32300 32800 33524 33620 34850 35264 37468 38048 38950 39440 40426 41905 42025 43928 44080 44608 45182 46240 46400 46835 47396 47560 48749 49300 49856 51680 52972 53792 54910 55100 55760 57154 57800 59245 59450 62320 63878 64600 65600 66215 67048 67240 69700 74936 76096 77900 78880 80852 83810 84050 87856 88160 90364 92480 93670 94792 95120 97498 98600 101065 103360 105944 107584 109820 110200 111520 112955 114308 115600 118490 118900 124640 127756 129200 132430 134096 134480 137275 139400 142885 149872 155800 157760 159239 159695 161704 167620 168100 175712 176320 180728 187340 189584 190240 194996 197200 202130 209525 211888 219640 220400 223040 225131 225910 228616 231200 234175 236980 237800 243745 249280 255512 258400 264860 268192 268960 274550 278800 285770 296225 299744 311600 318478 319390 323408 331075 335240 336200 343621 351424 361456 374680 379168 380480 384047 389992 394400 404260 419050 423776 439280 440800 450262 451820 457232 462400 468350 473960 475600 485809 487490 505325 511024 516800 529720 536384 537920 542963 549100 557600 564775 571540 592450 599488 623200 636956 638780 646816 662150 670480 672400 687242 714425 722912 749360 758336 768094 779984 788800 796195 798475 808520 828733 838100 847552 878560 881600 900524 903640 914464 926231 936700 947920 951200 971618 974980 1010650 1022048 1059440 1085926 1098200 1115200 1125655 1129550 1143080 1184900 1218725 1246400 1273912 1277560 1293632 1324300 1340960 1344800 1374484 1428850 1445824 1498720 1536188 1559968 1592390 1596950 1617040 1657466 1676200 1718105 1757120 1801048 1807280 1828928 1852462 1873400 1895840 1902400 1920235 1943236 1949960 2021300 2044096 2118880 2171852 2196400 2251310 2259100 2286160 2369800 2429045 2437450 2547824 2555120 2648600 2681920 2689600 2714815 2748968 2857700 2997440 3072376 3119936 3184780 3193900 3234080 3314932 3352400 3436210 3602096 3614560 3704924 3746800 3791680 3840470 3886472 3899920 3980975 4042600 4143665 4237760 4343704 4392800 4502620 4518200 4572320 4631155 4739600 4858090 4874900 5095648 5110240 5297200 5429630 5497936 5628275 5715400 6144752 6369560 6387800 6468160 6528799 6629864 6704800 6872420 7204192 7229120 7409848 7493600 7680940 7772944 7799840 7961950 8085200 8287330 8590525 8687408 8785600 9005240 9036400 9144640 9230371 9262310 9479200 9601175 9716180 9749800 10191296 10220480 10594400 10859260 10995872 11256550 11430800 12145225 12289504 12739120 12775600 13057598 13259728 13409600 13574075 13744840 14088461 14408384 14819696 14987200 15361880 15545888 15599680 15745927 15923900 16170400 16574660 17181050 17374816 18010480 18072800 18460742 18524620 18958400 19202350 19432360 19499600 20718325 21188800 21718520 21991744 22513100 22861600 23155775 24290450 24579008 25478240 25551200 26115196 26519456 27148150 27489680 28176922 29639392 30723760 31091776 31491854 31847800 32340800 32643995 33149320 34362100 34749632 36020960 36145600 36921484 37049240 38404700 38864720 38999200 41436650 43437040 45026200 45723200 46151855 46311550 48580900 50956480 51102400 52230392 53038912 54296300 54979360 56353844 59278784 61447520 62983708 63695600 65287990 66298640 68724200 70442305 72041920 73842968 74098480 76809400 77729440 77998400 78729635 82873300 86874080 90052400 92303710 92623100 97161800 104460784 108592600 109958720 112707688 122895040 125967416 127391200 130575980 132597280 137448400 140884610 147685936 148196960 153618800 155458880 157459270 163219975 165746600 173748160 180104800 184607420 185246200 194323600 208921568 217185200 225415376 230759275 251934832 254782400 261151960 265194560 267680759 274896800 281769220 295371872 296393920 307237600 314918540 326439950 331493200 352211525 360209600 369214840 370492400 388647200 393648175 417843136 434370400 450830752 461518550 503869664 522303920 535361518 549793600 563538440 590743744 614475200 629837080 652879900 662986400 704423050 738429680 740984800 777294400 787296350 868740800 901661504 923037100 1007739328 1044607840 1070723036 1127076880 1259674160 1305759800 1325972800 1338403795 1408846100 1476859360 1481969600 1574592700 1846074200 2089215680 2141446072 2254153760 2519348320 2611519600 2676807590 2817692200 2953718720 3149185400 3692148400 4282892144 4508307520 5038696640 5223039200 5353615180 5635384400 6298370800 6692018975 7384296800 8565784288 10446078400 10707230360 11270768800 12596741600 13384037950 14768593600 17131568576 21414460720 22541537600 25193483200 26768075900 42828921440 53536151800 85657842880 107072303600 214144607200 428289214400
- Sum of all divisors σ(n): 1249511674200
- Sum of proper divisors (its aliquot sum) s(n): 821222459800
- 428289214400 is an abundant number, because the sum of its proper divisors (821222459800) is greater than itself. Its abundance is 392933245400
Bases of 428289214400
- Binary: 1100011101110000000011011000111110000002
- Hexadecimal: 0x63B806C7C0
- Base-36: 5GR4C8U8
Squares and roots of 428289214400
- 428289214400 squared (4282892144002) is 183431651171369167360000
- 428289214400 cubed (4282892144003) is 78561797776280540460996521984000000
-
The
square root of 428289214400 is 654438.0905784749 -
The
cube root of 428289214400 is 7537.8191339421
Scales and comparisons
How big is 428289214400?- 428,289,214,400 seconds is equal to 13,618 years, 14 weeks, 1 day, 2 hours, 13 minutes, 20 seconds.
-
To count from 1 to 428,289,214,400 would take you about twenty-seven thousand, two hundred thirty-six 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 428289214400 cubic inches would be around 628.2 feet tall.
Recreational maths with 428289214400
- 428289214400 backwards is 004412982824
- The number of decimal digits it has is: 12
- The sum of 428289214400's digits is 44
- More coming soon!
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