10138442820480
10,138,442,820,480 is an even composite number composed of seven prime numbers multiplied together.
10138442820480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 10138442820480:
27 × 33 × 5 × 133 × 17 × 23 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 13 × 13 × 17 × 23 × 683)See below for interesting mathematical facts about the number 10138442820480 from the Numbermatics database.
Names of 10138442820480
- Cardinal: 10138442820480 can be written as Ten trillion, one hundred thirty-eight billion, four hundred forty-two million, eight hundred twenty thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.013844282048 × 1013
Factors of 10138442820480
Divisors of 10138442820480
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 23 24 26 27 30 32 34 36 39 40 45 46 48 51 52 54 60 64 65 68 69 72 78 80 85 90 92 96 102 104 108 115 117 120 128 130 135 136 138 144 153 156 160 169 170 180 184 192 195 204 207 208 216 221 230 234 240 255 260 270 272 276 288 299 306 312 320 338 340 345 351 360 368 384 390 391 408 414 416 432 442 459 460 468 480 507 510 520 540 544 552 576 585 598 612 621 624 640 663 676 680 683 690 702 720 736 765 780 782 816 828 832 845 864 884 897 918 920 936 960 1014 1020 1035 1040 1080 1088 1104 1105 1152 1170 1173 1196 1224 1242 1248 1326 1352 1360 1366 1380 1404 1440 1472 1495 1521 1530 1560 1564 1632 1656 1664 1690 1728 1755 1768 1794 1836 1840 1872 1920 1955 1989 2028 2040 2049 2070 2080 2160 2176 2197 2208 2210 2295 2340 2346 2392 2448 2484 2496 2535 2652 2691 2704 2720 2732 2760 2808 2873 2880 2944 2990 3042 3060 3105 3120 3128 3264 3312 3315 3380 3415 3456 3510 3519 3536 3588 3672 3680 3744 3887 3910 3978 4056 4080 4098 4140 4160 4320 4394 4416 4420 4485 4563 4590 4680 4692 4784 4896 4968 4992 5070 5083 5304 5382 5408 5440 5464 5520 5616 5746 5760 5865 5967 5980 6084 6120 6147 6210 6240 6256 6528 6591 6624 6630 6760 6830 7020 7038 7072 7176 7344 7360 7488 7605 7774 7820 7956 8073 8112 8160 8196 8280 8320 8619 8640 8788 8832 8840 8879 8970 9126 9180 9360 9384 9568 9792 9936 9945 10140 10166 10245 10557 10608 10764 10816 10880 10928 10985 11040 11232 11492 11611 11661 11730 11934 11960 12168 12240 12294 12420 12480 12512 13182 13248 13260 13455 13520 13660 14040 14076 14144 14352 14365 14688 14720 14976 15210 15249 15548 15640 15709 15912 16146 16224 16320 16392 16560 17238 17280 17576 17595 17680 17758 17940 18252 18360 18441 18720 18768 19136 19435 19584 19773 19872 19890 20280 20332 20490 21114 21216 21528 21632 21856 21970 22080 22464 22815 22984 23222 23322 23460 23868 23920 24336 24480 24588 24840 24960 25024 25415 25857 26364 26496 26520 26637 26910 27040 27320 28080 28152 28288 28704 28730 29376 29835 30420 30498 30735 31096 31280 31418 31824 32292 32448 32640 32784 32955 33120 34476 34833 34983 35152 35190 35360 35516 35880 36504 36720 36882 37349 37440 37536 38272 38870 39546 39744 39780 40365 40560 40664 40980 42228 42432 43056 43095 43712 43940 44160 44395 44928 45630 45747 45968 46444 46644 46920 47127 47736 47840 48672 48960 49176 49680 50048 50531 50830 51714 52728 52785 53040 53274 53820 54080 54640 56160 56304 57408 57460 58055 58305 58752 59319 59670 60840 60996 61470 62192 62560 62836 63648 64584 64896 65568 65910 66079 66240 68952 69666 69966 70304 70380 70720 71032 71760 73008 73440 73764 74698 74880 75072 76245 77571 77740 78545 79092 79488 79560 79911 80730 81120 81328 81960 84456 84864 86112 86190 87424 87880 88790 91260 91494 91936 92205 92888 93288 93840 94254 95472 95680 97344 97920 98352 98865 99360 101062 101660 103428 104499 104949 105456 105570 106080 106548 107640 108160 109280 112047 112320 112608 114816 114920 115427 116110 116610 118638 119340 121680 121992 122940 124384 125120 125672 127296 129168 129285 131136 131820 132158 132480 133185 137241 137904 139332 139932 140608 140760 141381 141440 142064 143520 146016 146880 147528 149396 150144 150943 151593 152490 155142 155480 157090 158184 159120 159822 161460 162240 162656 163920 168912 172224 172380 174165 174915 175760 177580 182520 182988 183872 184410 185776 186576 186745 187680 188508 190944 191360 194688 196704 197730 198237 198720 202124 203320 204217 206856 208998 209898 210912 211140 212160 213096 215280 218560 224094 224640 225216 228735 229840 230854 232220 233220 235635 237276 238680 239733 243360 243984 245880 248768 250240 251344 252655 254592 258336 258570 262272 263640 264316 266370 267053 274482 275808 278664 279864 281216 281520 282762 284128 287040 292032 293760 295056 296595 298792 301886 303186 304980 310284 310960 313497 314180 316368 318240 319644 322920 324480 325312 327840 330395 336141 337824 344448 344760 346281 348330 349830 351520 355160 365040 365976 367744 368820 371552 373152 373490 375360 377016 381888 387855 393408 395460 396474 397440 399555 404248 406640 408434 413712 417996 419796 421824 422280 424143 424320 426192 430560 437120 448188 450432 452829 454779 457470 459680 461708 464440 466440 471270 474552 477360 479466 486720 487968 491760 497536 502688 505310 516672 517140 522495 524745 527280 528632 532740 534106 548964 551616 557328 559728 560235 563040 565524 568256 574080 577135 584064 590112 593190 594711 597584 603772 606372 609960 612651 620568 621920 626994 628360 632736 636480 639288 645840 650624 655680 660790 672282 675648 686205 689520 692562 696660 699660 703040 706905 710320 730080 731952 737640 743104 746304 746980 750720 754032 754715 757965 763776 775710 786816 790920 792948 799110 801159 808496 813280 816868 827424 835992 839592 843648 844560 848286 852384 859027 861120 896376 905658 909558 914940 919360 923416 928880 932880 942540 949104 954720 958932 973440 975936 983520 991185 1005376 1008423 1010620 1021085 1033344 1034280 1038843 1044990 1049490 1054560 1057264 1065480 1068212 1097928 1103232 1114656 1119456 1120470 1126080 1131048 1136512 1154270 1180224 1186380 1189422 1195168 1198665 1207544 1212744 1219920 1225302 1241136 1243840 1253988 1256720 1265472 1272960 1278576 1291680 1311360 1321580 1335265 1344564 1351296 1358487 1364337 1372410 1379040 1385124 1393320 1399320 1406080 1413810 1420640 1460160 1463904 1475280 1486208 1492608 1493960 1500551 1508064 1509430 1515930 1551420 1567485 1581840 1585896 1598220 1602318 1616992 1626560 1633736 1654848 1671984 1679184 1680705 1689120 1696572 1704768 1718054 1722240 1731405 1784133 1792752 1811316 1819116 1829880 1837953 1838720 1846832 1857760 1865760 1885080 1898208 1909440 1917864 1951872 1962259 1967040 1982370 2010752 2016846 2021240 2042170 2068560 2077686 2089980 2098980 2109120 2114528 2120715 2130960 2136424 2195856 2229312 2238912 2240940 2252160 2262096 2264145 2273895 2308540 2360448 2372760 2378844 2390336 2397330 2403477 2415088 2425488 2439840 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30161280 30685824 30924972 31165290 31245201 31396144 31717920 31857852 32046360 32269536 32339840 32603688 32674720 33242976 33439680 33583680 33931440 34182784 34361080 34512673 34716890 35320662 35682660 35855040 36013224 36052155 36226320 36382320 36759060 36936640 37964160 38061504 38357280 38455632 38656215 39209664 39245180 39822315 40127616 40336920 40514877 40754610 41233296 41553720 41660268 42290560 42477136 42728480 43026048 43471584 43658784 43917120 44110872 44323968 45016530 45131957 45241920 46387458 47094216 47576880 47786778 48017632 48069540 48301760 48509760 49012080 49645440 49864464 50159520 51018734 51143040 51274176 51541620 52075335 52980993 53096420 53782560 54019836 54290304 54339480 54573480 54977728 55138590 55404960 55547024 57092256 57683448 57962112 58211712 58814496 58867770 60022040 61849944 62330580 62490402 62792288 63435840 63715704 64092720 64539072 65207376 65349440 66485952 66879360 67167360 67524795 67862880 68722160 69025346 69433780 70641324 71365320 71680167 71710080 72026448 72104310 72452640 72764640 73518120 73873280 76123008 76528101 76714560 76911264 77312430 78419328 78490360 79644630 80673840 81029754 81509220 82466592 83107440 83320536 84954272 85456960 86943168 87317568 87834240 88221744 88301655 90033060 90263914 90483840 92774916 93735603 94188432 95153760 95573556 96035264 96139080 96603520 97019520 98024160 99728928 100319040 102037468 102548352 103083240 103538019 104150670 105961986 106192840 107565120 108039672 108678960 109146960 109955456 110277180 110809920 111094048 114184512 115366896 115968645 117628992 117735540 119466945 120044080 123699888 124661160 124980804 125584576 126871680 127431408 127546835 128185440 129078144 130414752 130698880 132971904 135049590 135395871 135725760 137444320 138050692 138867560 141282648 142730640 143360334 144052896 144208620 144905280 145529280 147036240 153056202 153429120 153822528 154624860 156226005 156980720 159289260 161347680 162059508 163018440 164933184 166214880 166641072 169908544 170913920 172563365 173886336 174635136 176443488 176603310 180066120 180527828 185549832 187471206 188376864 190307520 191147112 192070528 192278160 196048320 199457856 200638080 202574385 204074936 206166480 207076038 208301340 211923972 212385680 215130240 216079344 217357920 218293920 220554360 221619840 222188096 225659785 228369024 229584303 230733792 231937290 235257984 235471080 238933890 240088160 247399776 249322320 249961608 251169152 254862816 255093670 256370880 260829504 264904965 270099180 270791742 271451520 274888640 276101384 277735120 282565296 285461280 286720668 288105792 288417240 289810560 291058560 294072480 306112404 307645056 309249720 310614057 312452010 313961440 318578520 322695360 324119016 326036880 329866368 332429760 333282144 339817088 345126730 352886976 353206620 358400835 360132240 361055656 371099664 374942412 376753728 380615040 382294224 382640505 384556320 392096640 398915712 405148770 406187613 408149872 412332960 414152076 416602680 423847944 424771360 432158688 434715840 436587840 441108720 444376192 451319570 459168606 461467584 463874580 468678015 470942160 477867780 480176320 494799552 498644640 499923216 509725632 510187340 512741760 517690095 521659008 529809930 540198360 541583484 549777280 552202768 555470240 565130592 570922560 573441336 576211584 576834480 586715441 588144960 612224808 618499440 621228114 624904020 627922880 637157040 645390720 648238032 652073760 664859520 666564288 676979355 688752909 690253460 705773952 706413240 716801670 720264480 722111312 742199328 749884824 753507456 764588448 765281010 769112640 810297540 812375226 816299744 824665920 828304152 833205360 847695888 849542720 864317376 869431680 873175680 882217440 902639140 918337212 922935168 927749160 931842171 937356030 941884320 955735560 960352640 989599104 997289280 999846432 1019451264 1020374680 1035380190 1059619860 1080396720 1083166968 1104405536 1110940480 1130261184 1141845120 1146882672 1147921515 1153668960 1173430882 1176289920 1218562839 1224449616 1236998880 1242456228 1249808040 1255845760 1274314080 1296476064 1304147520 1333128576 1353958710 1377505818 1380506920 1412826480 1433603340 1440528960 1444222624 1484398656 1499769648 1529176896 1530562020 1538225280 1553070285 1620595080 1624750452 1632599488 1649331840 1656608304 1666410720 1695391776 1699085440 1728634752 1760146323 1764434880 1805278280 1836674424 1855498320 1863684342 1874712060 1883768640 1911471120 1994578560 1999692864 2030938065 2040749360 2070760380 2119239720 2160793440 2166333936 2208811072 2221880960 2260522368 2293765344 2295843030 2307337920 2346861764 2437125678 2448899232 2473997760 2484912456 2499616080 2548628160 2592952128 2608295040 2707917420 2755011636 2761013840 2825652960 2867206680 2881057920 2888445248 2933577205 2968797312 2999539296 3058353792 3061124040 3106140570 3241190160 3249500904 3265198976 3313216608 3332821440 3390783552 3443764545 3520292646 3528869760 3610556560 3673348848 3710996640 3727368684 3749424120 3767537280 3822942240 3999385728 4061876130 4081498720 4141520760 4238479440 4321586880 4332667872 4417622144 4587530688 4591686060 4614675840 4659210855 4693723528 4874251356 4897798464 4947995520 4969824912 4999232160 5097256320 5185904256 5280438969 5415834840 5510023272 5522027680 5651305920 5734413360 5776890496 5867154410 5999078592 6092814195 6122248080 6212281140 6482380320 6499001808 6626433216 6665642880 6781567104 6887529090 7040585292 7221113120 7346697696 7421993280 7454737368 7498848240 7645884480 8123752260 8162997440 8283041520 8476958880 8643173760 8665335744 8800731615 9175061376 9183372120 9318421710 9387447056 9748502712 9795596928 9939649824 9998464320 10560877938 10831669680 11020046544 11044055360 11302611840 11468826720 11734308820 11998157184 12185628390 12244496160 12424562280 12964760640 12998003616 13252866432 13775058180 14081170584 14442226240 14693395392 14843986560 14909474736 14997696480 15291768960 15841316907 16247504520 16325994880 16566083040 16953917760 17330671488 17601463230 18366744240 18636843420 18774894112 19497005424 19879299648 19996928640 21121755876 21663339360 22040093088 22088110720 22937653440 23468617640 24371256780 24488992320 24849124560 25929521280 25996007232 26402194845 27550116360 28162341168 28884452480 29386790784 29818949472 29995392960 31682633814 32495009040 33132166080 33907835520 35202926460 36733488480 37273686840 37549788224 38994010848 39758599296 42243511752 43326678720 44080186176 45875306880 46937235280 48742513560 48977984640 49698249120 51992014464 52804389690 55100232720 56324682336 59637898944 59990785920 63365267628 64990018080 66264332160 70405852920 73466976960 74547373680 75099576448 77988021696 79206584535 84487023504 86653357440 88160372352 93874470560 97485027120 99396498240 105608779380 110200465440 112649364672 119275797888 126730535256 129980036160 140811705840 146933953920 149094747360 155976043392 158413169070 168974047008 187748941120 194970054240 198792996480 211217558760 220400930880 225298729344 253461070512 259960072320 281623411680 298189494720 316826338140 337948094016 375497882240 389940108480 422435117520 440801861760 506922141024 563246823360 596378989440 633652676280 675896188032 779880216960 844870235040 1013844282048 1126493646720 1267305352560 1689740470080 2027688564096 2534610705120 3379480940160 5069221410240 10138442820480
- Sum of all divisors σ(n): 43039600128000
- Sum of proper divisors (its aliquot sum) s(n): 32901157307520
- 10138442820480 is an abundant number, because the sum of its proper divisors (32901157307520) is greater than itself. Its abundance is 22762714487040
Bases of 10138442820480
- Binary: 100100111000100010100100100001101011100000002
- Hexadecimal: 0x9388A486B80
- Base-36: 3LDJB36O0
Squares and roots of 10138442820480
- 10138442820480 squared (101384428204802) is 102788022824142457507430400
- 10138442820480 cubed (101384428204803) is 1042110492032761471928951215133294592000
-
The
square root of 10138442820480 is 3184092.1501237995 -
The
cube root of 10138442820480 is 21643.3135931473
Scales and comparisons
How big is 10138442820480?- 10,138,442,820,480 seconds is equal to 322,371 years, 6 weeks, 2 days, 4 hours, 48 minutes.
-
To count from 1 to 10,138,442,820,480 would take you about eight hundred five thousand, nine hundred twenty-seven 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 10138442820480 cubic inches would be around 1803.6 feet tall.
Recreational maths with 10138442820480
- 10138442820480 backwards is 08402824483101
- 10138442820480 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 10138442820480's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 10138442820480 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 10138442820480 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/10138442820480/
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The information we have on file for 10138442820480 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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