828014148000
828,014,148,000 is an even composite number composed of six prime numbers multiplied together.
828014148000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 828014148000:
25 × 32 × 53 × 133 × 192 × 29
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 19 × 19 × 29)See below for interesting mathematical facts about the number 828014148000 from the Numbermatics database.
Names of 828014148000
- Cardinal: 828014148000 can be written as Eight hundred twenty-eight billion, fourteen million, one hundred forty-eight thousand.
Scientific notation
- Scientific notation: 8.28014148 × 1011
Factors of 828014148000
Divisors of 828014148000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 25 26 29 30 32 36 38 39 40 45 48 50 52 57 58 60 65 72 75 76 78 80 87 90 95 96 100 104 114 116 117 120 125 130 144 145 150 152 156 160 169 171 174 180 190 195 200 208 225 228 232 234 240 247 250 260 261 285 288 290 300 304 312 325 338 342 348 360 361 375 377 380 390 400 416 435 450 456 464 468 475 480 494 500 507 520 522 551 570 580 585 600 608 624 650 676 684 696 720 722 725 741 750 754 760 780 800 845 855 870 900 912 928 936 950 975 988 1000 1014 1040 1044 1083 1102 1125 1131 1140 1160 1170 1200 1235 1248 1300 1305 1352 1368 1392 1425 1440 1444 1450 1482 1500 1508 1520 1521 1560 1625 1653 1690 1710 1740 1800 1805 1824 1872 1885 1900 1950 1976 2000 2028 2080 2088 2166 2175 2197 2204 2223 2250 2262 2280 2320 2340 2375 2400 2470 2535 2600 2610 2704 2736 2755 2784 2850 2888 2900 2925 2964 3000 3016 3040 3042 3120 3211 3249 3250 3306 3380 3393 3420 3480 3600 3610 3625 3705 3744 3770 3800 3900 3952 4000 4056 4176 4225 4275 4332 4350 4394 4408 4446 4500 4524 4560 4640 4680 4693 4750 4875 4901 4940 4959 5070 5200 5220 5408 5415 5472 5510 5655 5700 5776 5800 5850 5928 6000 6032 6084 6175 6240 6422 6498 6500 6525 6591 6612 6760 6786 6840 6960 7125 7163 7200 7220 7250 7410 7540 7600 7605 7800 7904 8112 8265 8352 8450 8550 8664 8700 8788 8816 8892 9000 9025 9048 9120 9360 9386 9425 9500 9633 9750 9802 9880 9918 10140 10400 10440 10469 10830 10875 10985 11020 11115 11310 11400 11552 11600 11700 11856 12000 12064 12168 12350 12675 12844 12996 13000 13050 13182 13224 13520 13572 13680 13775 13920 14079 14250 14326 14440 14500 14625 14703 14820 15080 15200 15210 15600 16055 16224 16245 16530 16900 16965 17100 17328 17400 17576 17632 17784 18000 18050 18096 18525 18720 18772 18850 19000 19266 19500 19604 19760 19773 19836 20280 20880 20938 21125 21375 21489 21660 21750 21970 22040 22230 22620 22800 23200 23400 23465 23712 24336 24505 24700 24795 25350 25688 25992 26000 26100 26364 26448 27040 27075 27144 27360 27550 28158 28275 28500 28652 28880 28899 29000 29250 29406 29640 30160 30420 30875 31200 31407 32110 32490 32625 32955 33060 33800 33930 34200 34656 34800 35152 35568 35815 36000 36100 36192 37050 37544 37700 38000 38025 38532 39000 39208 39520 39546 39672 40560 41325 41743 41760 41876 42237 42250 42750 42978 43320 43500 43940 44080 44109 44460 45125 45240 45600 46800 46930 47125 48165 48672 49010 49400 49590 50700 51376 51984 52000 52200 52345 52728 52896 54150 54288 54925 55100 55575 56316 56550 57000 57304 57760 57798 58000 58500 58812 59280 60320 60840 61009 61750 62814 63375 63713 64220 64467 64980 65250 65910 66120 67600 67860 68400 68875 69600 70304 70395 71136 71630 72200 73515 74100 75088 75400 76000 76050 77064 78000 78416 79092 79344 80275 81120 81225 82650 83486 83752 84474 84500 84825 85500 85956 86640 87000 87880 88160 88218 88920 90250 90480 92625 93119 93600 93860 94221 94250 96330 98020 98800 98865 99180 101400 102752 103968 104400 104690 105456 107445 108300 108576 109850 110200 111150 112632 113100 114000 114608 115596 116000 117000 117325 117624 118560 121680 122018 122525 123500 123975 125229 125628 126750 127426 128440 128934 129960 130500 131820 132240 135200 135375 135720 136097 136800 137750 140790 141375 143260 144400 144495 147030 148200 150176 150800 152100 154128 156000 156832 157035 158184 158688 160550 162450 164775 165300 166972 167504 168948 169000 169650 171000 171912 173280 174000 175760 176436 177840 179075 180500 180960 183027 185250 186238 187720 188442 188500 190125 191139 192660 196040 197600 197730 198360 202800 206625 208715 208800 209380 210912 211185 214890 216600 219700 220400 220545 222300 225264 226200 228000 229216 231192 234000 234650 235248 240825 243360 244036 245050 247000 247950 250458 251256 253500 254852 256880 257868 259920 261000 261725 263640 264480 270750 271440 272194 274625 275500 277875 279357 281580 282750 286520 288800 288990 294060 296400 301600 304200 305045 308256 314070 316368 318565 321100 322335 324900 329550 330600 333944 335008 337896 338000 339300 342000 343824 348000 351520 351975 352872 355680 358150 361000 366054 367575 370500 372476 375440 375687 376884 377000 380250 382278 385320 392080 395460 396720 401375 405600 406125 408291 413250 417430 418760 422370 424125 429780 433200 439400 440800 441090 444600 450528 452400 462384 465595 468000 469300 470496 471105 481650 488072 490100 494000 494325 495900 500916 502512 507000 509704 513760 515736 519840 522000 523450 527280 537225 541500 542880 544388 549081 549250 551000 555750 558714 563160 565500 573040 573417 577980 586625 588120 592800 608400 610090 612625 619875 626145 628140 632736 637130 642200 644670 649800 659100 661200 667888 675792 676000 678600 680485 684000 687648 703950 705744 716300 722000 722475 732108 735150 741000 744952 750880 751374 753768 754000 760500 764556 770640 784160 785175 790920 793117 793440 802750 812250 816582 823875 826500 834860 837520 838071 844740 848250 859560 866400 878800 882180 889200 895375 904800 915135 924768 931190 938600 942210 955695 963300 976144 980200 988000 988650 991800 1001832 1005024 1014000 1019408 1031472 1043575 1044000 1046900 1054560 1055925 1074450 1083000 1088776 1098162 1098500 1102000 1102725 1111500 1117428 1126320 1131000 1146080 1146834 1155960 1173250 1176240 1204125 1210547 1216800 1220180 1224873 1225250 1239750 1252290 1256280 1274260 1284400 1289340 1299600 1308625 1318200 1322400 1335776 1351584 1357200 1360970 1396785 1407900 1411488 1432600 1444000 1444950 1464216 1470300 1482000 1489904 1502748 1507536 1508000 1521000 1525225 1529112 1541280 1570350 1581840 1586234 1592825 1605500 1611675 1624500 1633164 1647750 1653000 1669720 1675040 1676142 1689480 1696500 1719120 1757600 1759875 1764360 1769261 1778400 1790750 1830270 1837875 1862380 1877200 1878435 1884420 1911390 1926600 1952288 1960400 1977300 1983600 2003664 2028000 2038816 2041455 2062944 2087150 2093800 2111850 2148900 2166000 2177552 2196324 2197000 2204000 2205450 2223000 2234856 2252640 2262000 2293668 2311920 2327975 2346500 2352480 2355525 2379351 2408250 2421094 2440360 2449746 2450500 2471625 2479500 2504580 2512560 2548520 2568800 2578680 2599200 2617250 2636400 2686125 2714400 2721940 2745405 2793570 2815800 2865200 2867085 2889900 2928432 2940600 2964000 2979808 3005496 3015072 3042000 3050450 3058224 3130725 3140700 3163680 3172468 3185650 3211000 3223350 3249000 3266328 3295500 3306000 3339440 3352284 3378960 3393000 3402425 3438240 3519750 3528720 3538522 3581500 3612375 3631641 3660540 3675750 3724760 3754400 3756870 3768840 3822780 3853200 3920800 3925875 3954600 3965585 3967200 4007328 4082910 4174300 4187600 4190355 4223700 4297800 4332000 4355104 4392648 4394000 4410900 4446000 4469712 4524000 4575675 4587336 4623840 4655950 4693000 4711050 4758702 4778475 4816500 4842188 4880720 4899492 4901000 4943250 4959000 5009160 5025120 5097040 5157360 5217875 5234500 5272800 5279625 5307783 5372250 5443880 5490810 5513625 5587140 5631600 5730400 5734170 5779800 5856864 5881200 6010992 6052735 6084000 6100900 6116448 6124365 6261450 6281400 6344936 6371300 6422000 6446700 6498000 6532656 6591000 6612000 6678880 6704568 6757920 6786000 6804850 6983925 7039500 7057440 7077044 7138053 7163000 7224750 7263282 7321080 7351500 7449520 7513740 7537680 7626125 7645560 7706400 7851750 7909200 7931170 7964125 8058375 8165820 8348600 8375200 8380710 8447400 8595600 8785296 8788000 8821800 8846305 8892000 8939424 9151350 9174672 9311900 9386000 9392175 9422100 9517404 9556950 9633000 9684376 9761440 9798984 9802000 9886500 9918000 10018320 10194080 10207275 10314720 10435750 10469000 10559250 10615566 10744500 10887760 10894923 10981620 11027250 11174280 11263200 11468340 11559600 11639875 11762400 11777625 11896755 12021984 12105470 12201800 12248730 12522900 12562800 12689872 12742600 12844000 12893400 12996000 13065312 13182000 13409136 13572000 13609700 13727025 13967850 14079000 14154088 14276106 14326000 14335425 14449500 14526564 14642160 14703000 14899040 15027480 15075360 15252250 15291120 15653625 15703500 15818400 15862340 15923349 15928250 16116750 16331640 16697200 16761420 16894800 17012125 17191200 17570592 17643600 17692610 18158205 18302700 18349344 18623800 18772000 18784350 18844200 19034808 19113900 19266000 19368752 19597968 19604000 19773000 19827925 19836000 20036640 20414550 20871500 20938000 20951775 21118500 21231132 21489000 21775520 21789846 21963240 22054500 22348560 22878375 22936680 23000393 23119200 23279750 23555250 23793510 23892375 24210940 24403600 24497460 25045800 25125600 25379744 25485200 25786800 26364000 26538915 26818272 27219400 27454050 27935700 28158000 28308176 28552212 28652000 28670850 28899000 29053128 29284320 29406000 30054960 30263675 30504500 30582240 30621825 31307250 31407000 31724680 31846698 31856500 32233500 32663280 33394400 33522840 33789600 34024250 34919625 35287200 35385220 35690265 36316410 36605400 37247600 37568700 37688400 38069616 38227800 38532000 38737504 39195936 39546000 39655850 40829100 41743000 41876000 41903550 42237000 42462264 42978000 43579692 43926480 44109000 44231525 44697120 45756750 45873360 46000786 46559500 46960875 47110500 47587020 47784750 48421880 48807200 48994920 50091600 50970400 51036375 51573600 53077830 54438800 54474615 54908100 55871400 56316000 56616352 57104424 57341700 57798000 58106256 58812000 59483775 60109920 60527350 61009000 61243650 62614500 62814000 63449360 63693396 63713000 64467000 65326560 67045680 68048500 68635125 69001179 69839250 70770440 71380530 71677125 72632820 73210800 74495200 75137400 75376800 76139232 76455600 79092000 79311700 79616745 81658200 83486000 83807100 84474000 84924528 85956000 87159384 87852960 88218000 88463050 90791025 91513500 91746720 92001572 93119000 93921750 94221000 95174040 95569500 96843760 97989840 99139625 100183200 102072750 104758875 106155660 108877600 108949230 109816200 111742800 114208848 114683400 115001965 115596000 116212512 118967550 121054700 122018000 122487300 125229000 125628000 126898720 127386792 127426000 128934000 132694575 134091360 136097000 137270250 138002358 139678500 141540880 142761060 143354250 145265640 146421600 150274800 151318375 152911200 153109125 158623400 159233490 163316400 166972000 167614200 168948000 169849056 174318768 176436000 176926100 178451325 181582050 183027000 184003144 186238000 187843500 188442000 190348080 191139000 193687520 195979680 198279250 204145500 207003537 209517750 212311320 217898460 219632400 221157625 223485600 228417696 229366800 230003930 237935100 242109400 244036000 244974600 250458000 254773584 254852000 257868000 265389150 272194000 272373075 274540500 276004716 279357000 283081760 285522120 286708500 290531280 297418875 300549600 302636750 306218250 317246800 318466980 326632800 335228400 345005895 348637536 353852200 356902650 363164100 366054000 368006288 372476000 375687000 376884000 380696160 382278000 396558500 398083725 408291000 414007074 419035500 424622640 435796920 439264800 442315250 453955125 458733600 460007860 475870200 484218800 489949200 500916000 509547168 530778300 544388000 544746150 549081000 552009432 558714000 571044240 573417000 575009825 581062560 594837750 605273500 612436500 634493600 636933960 663472875 670456800 690011790 707704400 713805300 726328200 732108000 736012576 751374000 764556000 793117000 796167450 816582000 828014148 838071000 849245280 871593840 884630500 892256625 907910250 920015720 951740400 968437600 979898400 1035017685 1061556600 1089492300 1098162000 1104018864 1117428000 1142088480 1146834000 1150019650 1189675500 1210547000 1224873000 1273867920 1326945750 1361865375 1380023580 1415408800 1427610600 1452656400 1502748000 1586234000 1592334900 1633164000 1656028296 1676142000 1725029475 1743187680 1769261000 1784513250 1815820500 1840031440 1903480800 1990418625 2070035370 2123113200 2178984600 2196324000 2208037728 2293668000 2300039300 2379351000 2421094000 2449746000 2547735840 2653891500 2723730750 2760047160 2855221200 2875049125 2905312800 3172468000 3184669800 3312056592 3352284000 3450058950 3538522000 3569026500 3631641000 3680062880 3980837250 4140070740 4246226400 4357969200 4600078600 4758702000 4842188000 4899492000 5175088425 5307783000 5447461500 5520094320 5710442400 5750098250 6369339600 6624113184 6900117900 7077044000 7138053000 7263282000 7961674500 8280141480 8625147375 8715938400 9200157200 9517404000 10350176850 10615566000 10894923000 11040188640 11500196500 12738679200 13800235800 14276106000 14526564000 15923349000 16560282960 17250294750 18400314400 20700353700 21231132000 21789846000 23000393000 25875442125 27600471600 28552212000 31846698000 33120565920 34500589500 41400707400 43579692000 46000786000 51750884250 55200943200 63693396000 69001179000 82801414800 92001572000 103501768500 138002358000 165602829600 207003537000 276004716000 414007074000 828014148000
- Sum of all divisors σ(n): 3475615197600
- Sum of proper divisors (its aliquot sum) s(n): 2647601049600
- 828014148000 is an abundant number, because the sum of its proper divisors (2647601049600) is greater than itself. Its abundance is 1819586901600
Bases of 828014148000
- Binary: 11000000110010010111110100111001101000002
- Hexadecimal: 0xC0C97D39A0
- Base-36: AKDU8TK0
Squares and roots of 828014148000
- 828014148000 squared (8280141480002) is 685607429288165904000000
- 828014148000 cubed (8280141480003) is 567692651424510937483209792000000000
-
The
square root of 828014148000 is 909952.8273487587 -
The
cube root of 828014148000 is 9390.2953562505
Scales and comparisons
How big is 828014148000?- 828,014,148,000 seconds is equal to 26,328 years, 15 weeks, 2 hours.
-
To count from 1 to 828,014,148,000 would take you about fifty-two thousand, six hundred fifty-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 828014148000 cubic inches would be around 782.5 feet tall.
Recreational maths with 828014148000
- 828014148000 backwards is 000841410828
- 828014148000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 828014148000's digits is 36
- More coming soon!
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Numbermatics. (2024). Number 828014148000 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/828014148000/
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The information we have on file for 828014148000 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 828014148000, math, Factors of 828014148000, curriculum, school, college, exams, university, Prime factorization of 828014148000, STEM, science, technology, engineering, physics, economics, calculator, eight hundred twenty-eight billion, fourteen million, one hundred forty-eight thousand.