10428437812800
10,428,437,812,800 is an even composite number composed of eight prime numbers multiplied together.
10428437812800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 10428437812800:
26 × 3 × 52 × 7 × 17 × 43 × 53 × 8011
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 17 × 43 × 53 × 8011)See below for interesting mathematical facts about the number 10428437812800 from the Numbermatics database.
Names of 10428437812800
- Cardinal: 10428437812800 can be written as Ten trillion, four hundred twenty-eight billion, four hundred thirty-seven million, eight hundred twelve thousand, eight hundred.
Scientific notation
- Scientific notation: 1.04284378128 × 1013
Factors of 10428437812800
Divisors of 10428437812800
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 40 42 43 48 50 51 53 56 60 64 68 70 75 80 84 85 86 96 100 102 105 106 112 119 120 129 136 140 150 159 160 168 170 172 175 192 200 204 210 212 215 224 238 240 255 258 265 272 280 300 301 318 320 336 340 344 350 357 371 400 408 420 424 425 430 448 476 480 510 516 525 530 544 560 595 600 602 636 645 672 680 688 700 714 731 742 795 800 816 840 848 850 860 901 903 952 960 1020 1032 1050 1060 1075 1088 1113 1120 1190 1200 1204 1272 1275 1290 1325 1344 1360 1376 1400 1428 1462 1484 1505 1590 1600 1632 1680 1696 1700 1720 1785 1802 1806 1855 1904 2040 2064 2100 2120 2150 2193 2226 2240 2279 2380 2400 2408 2544 2550 2580 2650 2703 2720 2752 2800 2856 2924 2968 2975 3010 3180 3225 3264 3360 3392 3400 3440 3570 3604 3612 3655 3710 3808 3975 4080 4128 4200 4240 4300 4386 4452 4505 4515 4558 4760 4800 4816 5088 5100 5117 5160 5300 5406 5440 5565 5600 5712 5848 5936 5950 6020 6307 6360 6450 6720 6800 6837 6880 7140 7208 7224 7310 7420 7525 7616 7950 8011 8160 8256 8400 8480 8600 8772 8904 8925 9010 9030 9116 9275 9520 9632 10176 10200 10234 10320 10600 10812 10965 11130 11200 11395 11424 11696 11872 11900 12040 12614 12720 12900 13515 13600 13674 13760 14280 14416 14448 14620 14840 15050 15351 15900 15953 16022 16320 16800 16960 17200 17544 17808 17850 18020 18060 18232 18275 18550 18921 19040 19264 20400 20468 20640 21200 21624 21930 22260 22525 22575 22790 22848 23392 23744 23800 24033 24080 25228 25440 25585 25800 27030 27200 27348 27825 28560 28832 28896 29240 29680 30100 30702 31535 31800 31906 32044 33600 34185 34400 35088 35616 35700 36040 36120 36464 36550 37100 37842 38080 38743 40055 40800 40936 41280 42400 43248 43860 44520 45050 45150 45580 46784 47600 47859 48066 48160 50456 50880 51170 51600 54060 54696 54825 55650 56077 56975 57120 57664 57792 58480 59360 60200 61404 63070 63600 63812 64088 67575 68370 68800 70176 71232 71400 72080 72240 72928 73100 74200 75684 76755 77486 79765 80110 81600 81872 84800 86496 87720 89040 90100 90300 91160 94605 95200 95718 96132 96320 100912 102340 103200 108120 109392 109650 111300 112154 113950 114240 116229 116960 118720 120165 120400 122808 126140 127200 127624 127925 128176 135150 136187 136740 140352 142800 144160 144480 145856 146200 148400 151368 153510 154972 157675 159530 160220 163744 168231 170925 172992 175440 178080 180200 180600 182320 189210 190400 191436 192264 193715 200275 201824 204680 206400 216240 218784 219300 222600 224308 227900 232458 233920 239295 240330 240800 245616 252280 254400 255248 255850 256352 270300 271201 272374 273480 280385 285600 288320 288960 292400 296800 302736 307020 309944 315350 319060 320440 327488 336462 341850 344473 350880 356160 360400 361200 364640 378420 382872 383775 384528 387430 398825 400550 403648 408561 409360 424583 432480 437568 438600 445200 448616 455800 464916 473025 478590 480660 481600 491232 504560 510496 511700 512704 540600 542402 544748 546960 560770 571200 581145 584800 593600 600825 605472 614040 619888 630700 638120 640880 672924 680935 683700 688946 701760 720800 722400 729280 756840 765744 767550 769056 774860 797650 801100 813603 817122 818720 841155 849166 864960 877200 890400 897232 911600 929832 946050 953309 957180 961320 968575 982464 1009120 1020992 1023400 1033419 1081200 1084804 1089496 1093920 1121540 1162290 1169600 1196475 1201650 1210944 1228080 1239776 1261400 1273749 1276240 1281760 1345848 1356005 1361870 1367400 1377892 1401925 1441600 1444800 1513680 1531488 1535100 1538112 1549720 1595300 1602200 1627206 1634244 1637440 1682310 1698332 1722365 1754400 1780800 1794464 1823200 1859664 1892100 1906618 1914360 1922640 1937150 2018240 2042805 2046800 2066838 2122915 2162400 2169608 2178992 2187840 2243080 2324580 2392950 2403300 2411311 2456160 2479552 2522800 2547498 2552480 2563520 2691696 2712010 2723740 2734800 2755784 2803850 2859927 2905725 2972081 3027360 3062976 3070200 3099440 3190600 3204400 3254412 3268488 3364620 3396664 3404675 3444730 3508800 3588928 3646400 3719328 3784200 3813236 3828720 3845280 3874300 4068015 4085610 4093600 4133676 4205775 4245830 4324800 4339216 4357984 4486160 4649160 4766545 4785900 4806600 4822622 4912320 5045600 5094996 5104960 5167095 5383392 5424020 5447480 5469600 5511568 5607700 5719854 5811450 5856041 5944162 6054720 6140400 6198880 6368745 6381200 6408800 6508824 6536976 6729240 6780025 6793328 6809350 6889460 7217911 7233933 7438656 7568400 7626472 7657440 7690560 7748600 8136030 8171220 8187200 8267352 8411550 8491660 8611825 8678432 8715968 8916243 8972320 9298320 9533090 9571800 9613200 9645244 10091200 10189992 10214025 10334190 10614575 10766784 10848040 10894960 10939200 11023136 11215400 11439708 11622900 11712082 11888324 12056555 12280800 12397760 12737490 12762400 12817600 13017648 13073952 13458480 13560050 13586656 13618700 13778920 14299635 14435822 14467866 14860405 15136800 15252944 15314880 15497200 16272060 16342440 16534704 16823100 16983320 17223650 17356864 17568123 17832486 17944640 18257069 18596640 19066180 19143600 19226400 19290488 20340075 20379984 20428050 20668380 21229150 21653733 21696080 21789920 22046272 22430800 22879416 23245800 23424164 23776648 23832725 24113110 24561600 25474980 25524800 25835475 26035296 26147904 26916960 27120100 27173312 27237400 27557840 28599270 28871644 28935732 29280205 29720810 30273600 30505888 30994400 31843725 32544120 32684880 33069408 33646200 33966640 34447300 35136246 35664972 36089555 36169665 36514138 37193280 38132360 38287200 38452800 38580976 40680150 40759968 40856100 40992287 41336760 42458300 43307466 43392160 43579840 44581215 44861600 45758832 46491600 46848328 47553296 47665450 48226220 50525377 50949960 51670950 52070592 53833920 54240200 54474800 54771207 55115680 57198540 57743288 57871464 58560410 59441620 60282775 61011776 61988800 63687450 65088240 65369760 66138816 67292400 67933280 68894600 70272492 71329944 71498175 72179110 72339330 73028276 74302025 76264720 76574400 77161952 81360300 81519936 81712200 81984574 82673520 84916600 86614932 86784320 87840615 89162430 89723200 91285345 91517664 92983200 93696656 95106592 95330900 96452440 101050754 101899920 103341900 108268665 108480400 108949600 109542414 110231360 114397080 115486576 115742928 117120820 118883240 120565550 122976861 127374900 127799483 130176480 130739520 134584800 135866560 137789200 140544984 142659888 142996350 144358220 144678660 146056552 146401025 148604050 151576131 152529440 154323904 162720600 163424400 163969148 165347040 169833200 173229864 175681230 178324860 180447775 180848325 182570690 183035328 185966400 187393312 190213184 190661800 192904880 202101508 203799840 204961435 206683800 216537330 216960800 217899200 219084828 222906075 228794160 230973152 231485856 234241640 237766480 241131100 245953722 252626885 254749800 255598966 260352960 269169600 273856035 275578400 281089968 285319776 285992700 288716440 289357320 292113104 292802050 297208100 303152262 305058880 310370173 325441200 326848800 327938296 330694080 339666400 346459728 351362460 356649720 360895550 361696650 365141380 374786624 381323600 383398449 385809760 404203016 407599680 409922870 413367600 433074660 433921600 438169656 439203075 445812150 456426725 457588320 461946304 462971712 468483280 475532960 482262200 491907444 505253770 509499600 511197932 541343325 547712070 551156800 562179936 570639552 571985400 577432880 578714640 584226208 585604100 594416200 606304524 614884305 620740346 638997415 650882400 653697600 655876592 679332800 692919456 702724920 713299440 721791100 723393300 730282760 757880655 762647200 766796898 771619520 808406032 819845740 826735200 866149320 876339312 878406150 891624300 912853450 915176640 931110519 936966560 951065920 964524400 983814888 1010507540 1018999200 1022395864 1024807175 1082686650 1095424140 1124359872 1143970800 1154865760 1157429280 1168452416 1171208200 1188832400 1212609048 1229768610 1241480692 1263134425 1277994830 1301764800 1311753184 1369280175 1385838912 1405449840 1426598880 1443582200 1446786600 1460565520 1515761310 1525294400 1533593796 1551850865 1616812064 1639691480 1653470400 1732298640 1752678624 1756812300 1783248600 1825706900 1862221038 1873933120 1916992245 1929048800 1967629776 2021015080 2037998400 2044791728 2049614350 2165373300 2172591211 2190848280 2287941600 2309731520 2314858560 2342416400 2377664800 2425218096 2459537220 2482961384 2526268850 2555989660 2623506368 2738560350 2810899680 2853197760 2887164400 2893573200 2921131040 3031522620 3067187592 3074421525 3103701730 3194987075 3233624128 3279382960 3464597280 3505357248 3513624600 3566497200 3651413800 3724442076 3789403275 3833984490 3858097600 3935259552 4042030160 4089583456 4099228700 4330746600 4345182422 4381696560 4575883200 4655552595 4684832800 4755329600 4850436192 4919074440 4965922768 5052537700 5111979320 5477120700 5621799360 5774328800 5787146400 5842262080 6063045240 6134375184 6148843050 6207403460 6389974150 6517773633 6558765920 6929194560 7027249200 7132994400 7302827600 7448884152 7578806550 7667968980 7759254325 7870519104 8084060320 8179166912 8198457400 8661493200 8690364844 8763393120 9311105190 9369665600 9584961225 9700872384 9838148880 9931845536 10105075400 10223958640 10862956055 10954241400 11548657600 11574292800 12126090480 12268750368 12297686100 12414806920 12779948300 13035547266 13117531840 14054498400 14265988800 14605655200 14897768304 15157613100 15335937960 15518508650 16168120640 16396914800 17322986400 17380729688 17526786240 18622210380 19169922450 19676297760 19863691072 20210150800 20447917280 21725912110 21908482800 23277762975 24252180960 24537500736 24595372200 24829613840 25559896600 26071094532 28108996800 29211310400 29795536608 30315226200 30671875920 31037017300 32588868165 32793829600 34645972800 34761459376 37244420760 38339844900 39352595520 40420301600 40895834560 43451824220 43816965600 46555525950 48504361920 49190744400 49659227680 51119793200 52142189064 54314780275 59591073216 60630452400 61343751840 62074034600 65177736330 65587659200 69522918752 74488841520 76679689800 80840603200 86903648440 87633931200 93111051900 98381488800 99318455360 102239586400 104284378128 108629560550 121260904800 122687503680 124148069200 130355472660 139045837504 148977683040 153359379600 162944340825 173807296880 186222103800 196762977600 204479172800 208568756256 217259121100 242521809600 248296138400 260710945320 297955366080 306718759200 325888681650 347614593760 372444207600 417137512512 434518242200 496592276800 521421890640 613437518400 651777363300 695229187520 744888415200 869036484400 1042843781280 1303554726600 1489776830400 1738072968800 2085687562560 2607109453200 3476145937600 5214218906400 10428437812800
- Sum of all divisors σ(n): 43169326700544
- Sum of proper divisors (its aliquot sum) s(n): 32740888887744
- 10428437812800 is an abundant number, because the sum of its proper divisors (32740888887744) is greater than itself. Its abundance is 22312451074944
Bases of 10428437812800
- Binary: 100101111100000011110101010011010110010000002
- Hexadecimal: 0x97C0F54D640
- Base-36: 3P2RAMATC
Squares and roots of 10428437812800
- 10428437812800 squared (104284378128002) is 108752315215436847843840000
- 10428437812800 cubed (104284378128003) is 1134116756222206402325141205553152000000
-
The
square root of 10428437812800 is 3229309.1850734887 -
The
cube root of 10428437812800 is 21847.7349562931
Scales and comparisons
How big is 10428437812800?- 10,428,437,812,800 seconds is equal to 331,592 years, 3 weeks, 2 days, 17 hours, 20 minutes.
-
To count from 1 to 10,428,437,812,800 would take you about eight hundred twenty-eight thousand, nine hundred eighty 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 10428437812800 cubic inches would be around 1820.6 feet tall.
Recreational maths with 10428437812800
- 10428437812800 backwards is 00821873482401
- 10428437812800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 10428437812800's digits is 48
- More coming soon!
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The information we have on file for 10428437812800 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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