138320566142808960
138,320,566,142,808,960 is an even composite number composed of six prime numbers multiplied together.
What does the number 138320566142808960 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
138320566142808960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138320566142808960:
27 × 32 × 5 × 412 × 11872 × 10139
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 41 × 41 × 1187 × 1187 × 10139)See below for interesting mathematical facts about the number 138320566142808960 from the Numbermatics database.
Names of 138320566142808960
- Cardinal: 138320566142808960 can be written as One hundred thirty-eight quadrillion, three hundred twenty trillion, five hundred sixty-six billion, one hundred forty-two million, eight hundred eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3832056614280896 × 1017
Factors of 138320566142808960
Divisors of 138320566142808960
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 41 45 48 60 64 72 80 82 90 96 120 123 128 144 160 164 180 192 205 240 246 288 320 328 360 369 384 410 480 492 576 615 640 656 720 738 820 960 984 1152 1187 1230 1312 1440 1476 1640 1681 1845 1920 1968 2374 2460 2624 2880 2952 3280 3362 3561 3690 3936 4748 4920 5043 5248 5760 5904 5935 6560 6724 7122 7380 7872 8405 9496 9840 10086 10139 10683 11808 11870 13120 13448 14244 14760 15129 15744 16810 17805 18992 19680 20172 20278 21366 23616 23740 25215 26240 26896 28488 29520 30258 30417 33620 35610 37984 39360 40344 40556 42732 47232 47480 48667 50430 50695 53415 53792 56976 59040 60516 60834 67240 71220 75645 75968 78720 80688 81112 85464 91251 94960 97334 100860 101390 106830 107584 113952 118080 121032 121668 134480 142440 146001 151290 151936 152085 161376 162224 170928 182502 189920 194668 201720 202780 213660 215168 227904 236160 242064 243335 243336 268960 284880 292002 302580 304170 322752 324448 341856 365004 379840 389336 403440 405560 415699 427320 438003 455808 456255 484128 486670 486672 537920 569760 584004 605160 608340 645504 648896 683712 730005 730008 759680 778672 806880 811120 831398 854640 876006 912510 968256 973340 973344 1075840 1139520 1168008 1210320 1216680 1247097 1297792 1367424 1408969 1460010 1460016 1557344 1613760 1622240 1662796 1709280 1752012 1825020 1936512 1946680 1946688 1995347 2078495 2190015 2279040 2336016 2420640 2433360 2494194 2817938 2920020 2920032 3114688 3227520 3244480 3325592 3418560 3504024 3650040 3741291 3893360 3893376 3990694 4156990 4226907 4380030 4672032 4841280 4866720 4988388 5635876 5840040 5840064 5986041 6229376 6235485 6488960 6651184 6837120 7008048 7044845 7300080 7482582 7786720 7981388 8313980 8453814 8760060 9344064 9682560 9733440 9976735 9976776 11271752 11680080 11680128 11972082 12034993 12470970 12680721 13302368 14016096 14089690 14600160 14965164 15573440 15962776 16627960 16907628 17043659 17520120 17958123 18688128 18706455 19466880 19953470 19953552 21134535 22543504 23360160 23944164 24069986 24941940 25361442 26604736 28032192 28179380 29200320 29930205 29930328 31146880 31925552 33255920 33815256 34087318 35040240 35916246 36104979 37412910 39906940 39907104 42269070 45087008 46720320 47888328 48139972 49883880 50722884 51130977 53209472 56064384 56358760 57767729 58400640 59860410 59860656 60174965 63403605 63851104 66511840 67630512 68174636 70080480 71832492 72209958 74825820 79813880 79814208 84538140 85218295 89790615 90174016 93440640 95776656 96279944 99767760 101445768 102261954 108314937 112717520 115535458 119720820 119721312 120349930 126807210 127702208 133023680 135261024 136349272 140160960 143664984 144419916 149651640 153392931 159627760 159628416 169076280 170436590 173303187 179581230 180348032 180524895 191553312 192559888 199535520 202891536 204523908 216629874 225435040 231070916 239441640 239442624 240699860 253614420 255404416 255654885 266047360 270522048 272698544 280321920 287329968 288838645 288839832 299303280 306785862 319255520 338152560 340873180 346606374 359162460 361049790 383106624 385119776 399071040 405783072 409047816 433259748 450870080 462141832 478883280 478885248 481399720 493434713 507228840 511309770 519909561 541044096 541574685 545397088 574659936 577677290 577679664 598606560 613571724 638511040 676305120 681746360 693212748 718324920 722099580 766213248 766964655 770239552 798142080 811566144 818095632 866515935 866519496 901740160 924283664 957766560 962799440 986869426 1014457680 1022619540 1039819122 1083149370 1090794176 1149319872 1155354580 1155359328 1197213120 1227143448 1277022080 1352610240 1363492720 1386425496 1436649840 1444199160 1480304139 1533929310 1540479104 1623132288 1636191264 1733031870 1733038992 1848567328 1915533120 1925598880 1973738852 2028915360 2045239080 2079638244 2166298740 2181588352 2298639744 2310709160 2310718656 2368476889 2394426240 2454286896 2467173565 2599547805 2705220480 2726985440 2772850992 2873299680 2888398320 2960608278 3067858620 3272382528 3466063740 3466077984 3697134656 3831066240 3851197760 3947477704 4057830720 4090478160 4159276488 4332597480 4440912417 4621418320 4621437312 4736953778 4908573792 4934347130 5199095610 5453970880 5545701984 5746599360 5776796640 5921216556 6135717240 6544765056 6932127480 6932155968 7105430667 7394269312 7401520695 7702395520 7894955408 8115661440 8180956320 8318552976 8665194960 8881824834 9242836640 9473907556 9817147584 9868694260 10398191220 10907941760 11091403968 11493198720 11553593280 11842384445 11842433112 12271434480 13864254960 13864311936 14210861334 14285536691 14803041390 15789910816 16361912640 16637105952 17330389920 17763649668 18485673280 18947815112 19634295168 19737388520 20230823233 20796382440 21316292001 22182807936 22204562085 23107186560 23684768890 23684866224 24542868960 27728509920 28421722668 28571073382 29606082780 31579821632 32723825280 33274211904 34660779840 35527153335 35527299336 36971346560 37895630224 39474777040 40461646466 41592764880 42632584002 42856610073 44409124170 47369537780 47369732448 49085737920 55457019840 56843445336 57142146764 59212165560 60692469699 63159643264 66548423808 69321559680 71054306670 71054598672 71427683455 75791260448 78949554080 80923292932 83185529760 85265168004 85713220146 88818248340 94739075560 94739464896 98171475840 101154116165 106581460005 110914039680 113686890672 114284293528 118424331120 121384939398 128569830219 142108613340 142109197344 142855366910 151582520896 157899108160 161846585864 166371059520 170530336008 171426440292 177636496680 182077409097 189478151120 189478929792 202308232330 213162920010 214283050365 227373781344 228568587056 236848662240 242769878796 257139660438 284217226680 284218394688 285710733820 303165041792 303462348495 315798216320 323693171728 332742119040 341060672016 342852880584 355272993360 364154818194 378956302240 404616464660 426325840020 428566100730 454747562688 457137174112 473697324480 485539757592 514279320876 568434453360 568436789376 571421467640 585707004331 606924696990 642849151095 647386343456 682121344032 685705761168 710545986720 728309636388 757912604480 809232929320 852651680040 857132201460 909495125376 910387045485 914274348224 947394648960 971079515184 1028558641752 1136868906720 1142842935280 1171414008662 1213849393980 1285698302190 1294772686912 1364242688064 1371411522336 1421091973440 1456619272776 1515825208960 1618465858640 1705303360080 1714264402920 1757121012993 1820774090970 1828548696448 1942159030368 2057117283504 2273737813440 2285685870560 2342828017324 2427698787960 2571396604380 2589545373824 2728485376128 2742823044672 2842183946880 2913238545552 2928535021655 3236931717280 3410606720160 3428528805840 3514242025986 3641548181940 3884318060736 4114234567008 4547475626880 4571371741120 4685656034648 4855397575920 5142793208760 5271363038979 5485646089344 5826477091104 5857070043310 6473863434560 6821213440320 6857057611680 7028484051972 7283096363880 7768636121472 8228469134016 8785605064965 9142743482240 9371312069296 9710795151840 10285586417520 10542726077958 11652954182208 11714140086620 12947726869120 13642426880640 13714115223360 14056968103944 14566192727760 16456938268032 17571210129930 18742624138592 19421590303680 20571172835040 21085452155916 23305908364416 23428280173240 24013987177571 26356815194895 27428230446720 28113936207888 29132385455520 35142420259860 37485248277184 38843180607360 41142345670080 42170904311832 46856560346480 48027974355142 52713630389790 56227872415776 58264770911040 70284840519720 72041961532713 74970496554368 82284691340160 84341808623664 93713120692960 96055948710284 105427260779580 112455744831552 116529541822080 120069935887855 140569681039440 144083923065426 168683617247328 187426241385920 192111897420568 210854521559160 216125884598139 224911489663104 240139871775710 281139362078880 288167846130852 337367234494656 360209807663565 374852482771840 384223794841136 421709043118320 432251769196278 480279743551420 562278724157760 576335692261704 674734468989312 720419615327130 768447589682272 843418086236640 864503538392556 960559487102840 1080629422990695 1124557448315520 1152671384523408 1440839230654260 1536895179364544 1686836172473280 1729007076785112 1921118974205680 2161258845981390 2305342769046816 2881678461308520 3073790358729088 3373672344946560 3458014153570224 3842237948411360 4322517691962780 4610685538093632 5763356922617040 6916028307140448 7684475896822720 8645035383925560 9221371076187264 11526713845234080 13832056614280896 15368951793645440 17290070767851120 23053427690468160 27664113228561792 34580141535702240 46106855380936320 69160283071404480 138320566142808960
- Sum of all divisors σ(n): 490033175680830600
- Sum of proper divisors (its aliquot sum) s(n): 351712609538021640
- 138320566142808960 is an abundant number, because the sum of its proper divisors (351712609538021640) is greater than itself. Its abundance is 213392043395212680
Bases of 138320566142808960
- Binary: 1111010110110100111010010011100100001001010110011100000002
- Hexadecimal: 0x1EB69D27212B380
- Base-36: 11TYJQUU8RK0
Squares and roots of 138320566142808960
- 138320566142808960 squared (1383205661428089602) is 19132579018067188374537119056281600
- 138320566142808960 cubed (1383205661428089603) is 2646429161551081433682590677765993221209356763136000
-
The
square root of 138320566142808960 is 371914729.6663698421 -
The
cube root of 138320566142808960 is 517164.7543021769
Scales and comparisons
How big is 138320566142808960?- 138,320,566,142,808,960 seconds is equal to 4,398,166,149 years, 38 weeks, 2 days, 17 hours, 36 minutes.
-
To count from 1 to 138,320,566,142,808,960 would take you about thirteen billion, one hundred ninety-four million, four hundred ninety-eight thousand, four hundred forty-nine 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 138320566142808960 cubic inches would be around 43097.1 feet tall.
Recreational maths with 138320566142808960
- 138320566142808960 backwards is 069808241665023831
- 138320566142808960 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138320566142808960's digits is 72
- More coming soon!
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"Number 138320566142808960 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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The information we have on file for 138320566142808960 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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