21438406416960
21,438,406,416,960 is an even composite number composed of six prime numbers multiplied together.
21438406416960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 21438406416960:
26 × 35 × 5 × 132 × 192 × 4519
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 13 × 19 × 19 × 4519)See below for interesting mathematical facts about the number 21438406416960 from the Numbermatics database.
Names of 21438406416960
- Cardinal: 21438406416960 can be written as Twenty-one trillion, four hundred thirty-eight billion, four hundred six million, four hundred sixteen thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 2.143840641696 × 1013
Factors of 21438406416960
Divisors of 21438406416960
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 26 27 30 32 36 38 39 40 45 48 52 54 57 60 64 65 72 76 78 80 81 90 95 96 104 108 114 117 120 130 135 144 152 156 160 162 169 171 180 190 192 195 208 216 228 234 240 243 247 260 270 285 288 304 312 320 324 338 342 351 360 361 380 390 405 416 432 456 468 480 486 494 507 513 520 540 570 576 585 608 624 648 676 684 702 720 722 741 760 780 810 832 845 855 864 912 936 960 972 988 1014 1026 1040 1053 1080 1083 1140 1170 1215 1216 1235 1248 1296 1352 1368 1404 1440 1444 1482 1520 1521 1539 1560 1620 1690 1710 1728 1755 1805 1824 1872 1944 1976 2028 2052 2080 2106 2160 2166 2223 2280 2340 2430 2470 2496 2535 2565 2592 2704 2736 2808 2880 2888 2964 3040 3042 3078 3120 3159 3211 3240 3249 3380 3420 3510 3610 3648 3705 3744 3888 3952 4056 4104 4160 4212 4320 4332 4446 4519 4560 4563 4617 4680 4693 4860 4940 5070 5130 5184 5265 5408 5415 5472 5616 5776 5928 6080 6084 6156 6240 6318 6422 6480 6498 6669 6760 6840 7020 7220 7410 7488 7605 7695 7776 7904 8112 8208 8424 8640 8664 8892 9038 9120 9126 9234 9360 9386 9633 9720 9747 9880 10140 10260 10530 10816 10830 10944 11115 11232 11552 11856 12168 12312 12480 12636 12844 12960 12996 13338 13520 13557 13680 13689 14040 14079 14440 14820 15210 15390 15552 15795 15808 16055 16224 16245 16416 16848 17328 17784 18076 18240 18252 18468 18720 18772 19266 19440 19494 19760 20007 20280 20520 21060 21660 22230 22464 22595 22815 23085 23104 23465 23712 24336 24624 25272 25688 25920 25992 26676 27040 27114 27360 27378 28080 28158 28880 28899 29241 29640 30420 30780 31590 32110 32448 32490 32832 33345 33696 34656 35568 36152 36504 36936 37440 37544 38532 38880 38988 39520 40014 40560 40671 41040 41067 42120 42237 43320 44460 45190 45630 46170 46930 47424 48165 48672 48735 49248 50544 51376 51984 53352 54080 54228 54720 54756 56160 56316 57760 57798 58482 58747 59280 60021 60840 61009 61560 63180 64220 64980 66690 67392 67785 68445 69312 70395 71136 72304 73008 73872 75088 77064 77760 77976 79040 80028 81120 81342 82080 82134 84240 84474 85861 86640 86697 87723 88920 90380 91260 92340 93860 96330 97344 97470 98496 100035 101088 102752 103968 106704 108456 109512 112320 112632 115520 115596 116964 117494 118560 120042 121680 122013 122018 123120 126360 126711 128440 129960 133380 135570 136890 140790 142272 144495 144608 146016 146205 147744 150176 154128 155952 160056 162240 162684 164160 164268 168480 168948 171722 173280 173394 175446 176241 177840 180760 182520 183027 184680 187720 192660 194940 200070 202176 203355 205335 205504 207936 211185 213408 216912 219024 225264 231192 233928 234988 237120 240084 243360 244026 244036 246240 252720 253422 256880 257583 259920 260091 266760 271140 273780 281580 288990 289216 292032 292410 293735 295488 300105 300352 305045 308256 311904 320112 325368 328536 336960 337896 343444 346560 346788 350892 352482 355680 361520 365040 366039 366054 369360 375440 380133 385320 389880 400140 406710 410670 422370 426816 429305 433485 433824 438048 438615 450528 462384 467856 469976 480168 486720 488052 488072 492480 505440 506844 513760 515166 519840 520182 528723 533520 542280 547560 549081 563160 577980 584820 587470 600210 610065 610090 616512 623808 633555 640224 650736 657072 675792 686888 693576 701784 704964 711360 723040 730080 732078 732108 738720 750880 760266 763711 770640 772749 779760 780273 800280 813420 821340 844740 858610 866970 867648 876096 877230 881205 901056 915135 924768 935712 939952 960336 976104 976144 1010880 1013688 1027520 1030332 1039680 1040364 1057446 1067040 1084560 1095120 1098117 1098162 1116193 1126320 1140399 1155960 1169640 1174940 1200420 1220130 1220180 1267110 1280448 1287915 1300455 1301472 1314144 1351584 1373776 1387152 1403568 1409928 1446080 1460160 1464156 1464216 1477440 1501760 1520532 1527422 1541280 1545498 1559520 1560546 1586169 1600560 1626840 1631359 1642680 1647243 1689480 1717220 1733940 1754460 1762410 1830195 1830270 1849536 1871424 1879904 1900665 1920672 1952208 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348252216 351397440 352373544 357181760 361646532 364927680 366581280 370919520 371163546 380680560 381738006 391526160 391783743 395338320 396420237 401829480 412403940 417284460 424153340 435315270 439897536 440466930 445103424 452058165 456816672 464336288 469831392 474405984 482195376 494884728 507574080 508984008 522034880 522378324 527117760 528560316 535772640 542469798 549871920 551399342 556379280 571020840 572607009 580420360 587289240 593007480 602744220 618605910 636230010 642927168 652972905 659846304 660700395 667655136 678645344 696504432 704747088 723293064 733162560 741839040 742327092 761361120 763476012 783052320 783567486 790676640 792840474 803658960 824807880 827099013 834568920 848306680 870630540 880933860 904116330 913633344 927908865 928672576 939662784 948811968 954345015 964390752 989769456 1017968016 1044756648 1057120632 1071545280 1084939596 1099743840 1102798684 1112758560 1142041680 1145214018 1160840720 1174578480 1175351229 1186014960 1205488440 1237211820 1272460020 1305945810 1319692608 1321400790 1335310272 1356174495 1357290688 1378498355 1393008864 1409494176 1446586128 1484654184 1522722240 1526952024 1566104640 1567134972 1581353280 1585680948 1607317920 1649615760 1654198026 1669137840 1696613360 1717821027 1741261080 1761867720 1808232660 1855817730 1908690030 1928781504 1958918715 1979538912 1982101185 2035936032 2089513296 2114241264 2169879192 2199487680 2205597368 2225517120 2284083360 2290428036 2321681440 2349156960 2350702458 2372029920 2410976880 2474423640 2481297039 2544920040 2611891620 2642801580 2712348990 2756996710 2786017728 2818988352 2863035045 2893172256 2969308368 3053904048 3134269944 3171361896 3214635840 3299231520 3308396052 3338275680 3393226720 3435642054 3482522160 3523735440 3526053687 3616465320 3711635460 3817380060 3917837430 3959077824 3964202370 4071872064 4135495065 4179026592 4228482528 4339758384 4411194736 4568166720 4580856072 4643362880 4698313920 4701404916 4744059840 4821953760 4948847280 4962594078 5089840080 5153463081 5223783240 5285603160 5424697980 5513993420 5726070090 5786344512 5876756145 5938616736 6107808096 6268539888 6342723792 6598463040 6616792104 6676551360 6786453440 6871284108 6965044320 7047470880 7052107374 7232930640 7423270920 7443891117 7634760120 7835674860 7928404740 8270990130 8358053184 8456965056 8589105135 8679516768 8822389472 9161712144 9402809832 9643907520 9897694560 9925188156 10179680160 10306926162 10447566480 10571206320 10849395960 11027986840 11452140180 11753512290 11877233472 12215616192 12406485195 12537079776 12685447584 13233584208 13742568216 13930088640 14094941760 14104214748 14465861280 14846541840 14887782234 15269520240 15671349720 15856809480 16541980260 17178210270 17359033536 17630268435 17644778944 18323424288 18805619664 19795389120 19850376312 20359360320 20613852324 20895132960 21142412640 21698791920 22055973680 22331673351 22904280360 23507024580 24812970390 25074159552 25370895168 25767315405 26467168416 27485136432 28208429496 28931722560 29693083680 29775564468 30539040480 31342699440 31713618960 33083960520 34356420540 35260536870 36646848576 37219455585 37611239328 39700752624 41227704648 41790265920 42284825280 43397583840 44111947360 44663346702 45808560720 47014049160 49625940780 51534630810 52934336832 54970272864 56416858992 59386167360 59551128936 61078080960 62685398880 63427237920 66167921040 66995020053 68712841080 70521073740 74438911170 75222478656 79401505248 82455409296 86795167680 88223894720 89326693404 91617121440 94028098320 99251881560 103069261620 109940545728 111658366755 112833717984 119102257872 125370797760 126854475840 132335842080 133990040106 137425682160 141042147480 148877822340 158803010496 164910818592 178653386808 183234242880 188056196640 198503763120 206138523240 223316733510 225667435968 238204515744 264671684160 267980080212 274851364320 282084294960 297755644680 329821637184 334975100265 357306773616 376112393280 397007526240 412277046480 446633467020 476409031488 535960160424 549702728640 564168589920 595511289360 669950200530 714613547232 794015052480 824554092960 893266934040 1071920320848 1128337179840 1191022578720 1339900401060 1429227094464 1649108185920 1786533868080 2143840641696 2382045157440 2679800802120 3573067736160 4287681283392 5359601604240 7146135472320 10719203208480 21438406416960
- Sum of all divisors σ(n): 87411959369280
- Sum of proper divisors (its aliquot sum) s(n): 65973552952320
- 21438406416960 is an abundant number, because the sum of its proper divisors (65973552952320) is greater than itself. Its abundance is 44535146535360
Bases of 21438406416960
- Binary: 1001101111111100001001001100101011010010000002
- Hexadecimal: 0x137F84995A40
- Base-36: 7LKO1NO00
Squares and roots of 21438406416960
- 21438406416960 squared (214384064169602) is 459605269698751705375641600
- 21438406416960 cubed (214384064169603) is 9853204563178350006626898204717121536000
-
The
square root of 21438406416960 is 4630162.6771594105 -
The
cube root of 21438406416960 is 27779.9099269829
Scales and comparisons
How big is 21438406416960?- 21,438,406,416,960 seconds is equal to 681,675 years, 3 days, 21 hours, 36 minutes.
-
To count from 1 to 21,438,406,416,960 would take you about one million, seven hundred four thousand, one hundred eighty-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 21438406416960 cubic inches would be around 2315 feet tall.
Recreational maths with 21438406416960
- 21438406416960 backwards is 06961460483412
- 21438406416960 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 21438406416960's digits is 54
- More coming soon!
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The information we have on file for 21438406416960 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 21438406416960, math, Factors of 21438406416960, curriculum, school, college, exams, university, Prime factorization of 21438406416960, STEM, science, technology, engineering, physics, economics, calculator, twenty-one trillion, four hundred thirty-eight billion, four hundred six million, four hundred sixteen thousand, nine hundred sixty.