137144993448320
137,144,993,448,320 is an even composite number composed of seven prime numbers multiplied together.
137144993448320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 137144993448320:
27 × 5 × 112 × 13 × 31 × 612 × 1181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 13 × 31 × 61 × 61 × 1181)See below for interesting mathematical facts about the number 137144993448320 from the Numbermatics database.
Names of 137144993448320
- Cardinal: 137144993448320 can be written as One hundred thirty-seven trillion, one hundred forty-four billion, nine hundred ninety-three million, four hundred forty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3714499344832 × 1014
Factors of 137144993448320
Divisors of 137144993448320
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 26 31 32 40 44 52 55 61 62 64 65 80 88 104 110 121 122 124 128 130 143 155 160 176 208 220 242 244 248 260 286 305 310 320 341 352 403 416 440 484 488 496 520 572 605 610 620 640 671 682 704 715 793 806 832 880 968 976 992 1040 1144 1181 1210 1220 1240 1342 1364 1408 1430 1573 1586 1612 1664 1705 1760 1891 1936 1952 1984 2015 2080 2288 2362 2420 2440 2480 2684 2728 2860 3146 3172 3224 3355 3410 3520 3721 3751 3782 3872 3904 3965 3968 4030 4160 4433 4576 4724 4840 4880 4960 5368 5456 5720 5905 6292 6344 6448 6710 6820 7040 7381 7442 7502 7564 7744 7808 7865 7930 8060 8320 8723 8866 9152 9448 9455 9680 9760 9920 10736 10912 11440 11810 12584 12688 12896 12991 13420 13640 14762 14884 15004 15128 15353 15488 15730 15860 16120 17446 17732 18304 18605 18755 18896 18910 19360 19520 19840 20801 21472 21824 22165 22880 23620 24583 25168 25376 25792 25982 26840 27280 29524 29768 30008 30256 30706 31460 31720 32240 34892 35464 36611 36905 37210 37510 37792 37820 38720 39040 40931 41602 42944 43615 43648 44330 45760 47240 48373 48763 49166 50336 50752 51584 51964 53680 54560 59048 59536 60016 60512 61412 62920 63440 64480 64955 69784 70928 72041 73222 73810 74420 75020 75584 75640 76765 77440 81862 83204 85888 87230 88660 91520 94480 95953 96746 97526 98332 100672 101504 103928 104005 107360 109120 115351 118096 119072 120032 121024 122824 122915 125840 126880 128960 129910 139568 141856 142901 144082 146444 147620 148840 150040 151168 151280 153530 163724 166408 168883 174460 177320 183055 188960 191906 193492 195052 196664 201344 204655 207856 208010 214720 218240 228811 230702 236192 238144 240064 241865 242048 243815 245648 245830 251680 253760 257920 259820 270413 279136 283712 285802 288164 292888 295240 297680 300080 302560 307060 327448 332816 337766 348920 354640 360205 366110 377920 383812 386984 390104 393328 402721 409310 415712 416020 429440 450241 457622 461404 472384 475943 476288 479765 480128 483730 487630 491296 491660 503360 507520 519640 532103 540826 558272 567424 571604 576328 576755 585776 590480 595360 600160 605120 614120 654896 665632 675532 697840 709280 714505 720410 732220 755840 767624 773968 780208 786656 792451 805442 818620 831424 832040 844415 900482 915244 922808 936533 944768 951886 959530 967460 975260 982592 983320 1006720 1039280 1064206 1081652 1116544 1143208 1144055 1152656 1153510 1171552 1180960 1190720 1200320 1210240 1228240 1268861 1309792 1331264 1351064 1352065 1395680 1418560 1429010 1440820 1464440 1499563 1535248 1547936 1560416 1573312 1584902 1610884 1637240 1662848 1664080 1688830 1800964 1830488 1845616 1857713 1873066 1903772 1919060 1934920 1950520 1965184 1966640 2013605 2078560 2128412 2163304 2233271 2251205 2286416 2288110 2305312 2307020 2343104 2361920 2379715 2381440 2400640 2456480 2537722 2619584 2660515 2662528 2702128 2704130 2791360 2837120 2858020 2881640 2928880 2974543 2999126 3070496 3095872 3120832 3146624 3169804 3221768 3274480 3328160 3377660 3601928 3660976 3691232 3715426 3746132 3807544 3838120 3869840 3901040 3933280 3962255 4027210 4157120 4256824 4326608 4394501 4429931 4466542 4502410 4572832 4576220 4610624 4614040 4682665 4686208 4723840 4759430 4912960 5075444 5235373 5239168 5321030 5404256 5408260 5582720 5716040 5763280 5853133 5857760 5949086 5998252 6140992 6191744 6241664 6339608 6344305 6443536 6548960 6656320 6755320 7203856 7321952 7382464 7430852 7492264 7497815 7615088 7676240 7739680 7802080 7866560 7924510 8054420 8314240 8513648 8653216 8716961 8789002 8859862 8933084 9004820 9145664 9152440 9221248 9228080 9288565 9365330 9518860 9825920 10150888 10301863 10470746 10642060 10808512 10816520 11166355 11432080 11526560 11706266 11715520 11898172 11996504 12281984 12679216 12688610 12887072 13097920 13312640 13510640 13957471 14407712 14643904 14764928 14861704 14872715 14984528 14995630 15230176 15352480 15479360 15604160 15733120 15849020 16108840 16495193 17027296 17306432 17433922 17578004 17719724 17866168 18009640 18291328 18304880 18456160 18577130 18730660 19037720 20301776 20603726 20941492 21284120 21617024 21633040 21972505 22149655 22332710 22864160 23053120 23412532 23431040 23796344 23993008 24565981 25358432 25377220 25774144 26176865 26195840 27021280 27914942 28815424 29032523 29265665 29287808 29723408 29745430 29969056 29991260 30460352 30704960 30958720 31208320 31698040 32217680 32990386 34054592 34612864 34867844 35156008 35439448 35732336 36019280 36609760 36912320 37154260 37461320 38075440 40603552 41207452 41882984 42568240 43266080 43584805 43945010 44299310 44665420 45728320 46106240 46825064 47592688 47986016 48339511 49131962 50716864 50754440 51509315 51548288 52353730 54042560 55829884 57128513 57589103 57630848 58065046 58531330 59446816 59490860 59938112 59982520 60920704 61409920 63396080 64435360 65980772 68109184 69735688 69787355 70312016 70878896 71464672 72038560 73219520 73824640 74308520 74922640 76150880 81207104 82414904 82475965 83765968 85136480 86532160 87169610 87890020 88598620 89330840 91456640 93650128 95185376 95972032 96679022 98263924 101433728 101508880 103018630 104707460 108085120 111659768 113320493 114257026 115178206 116130092 117062660 118893632 118981720 119876224 119965040 122829905 126792160 128870720 131961544 136229531 139471376 139574710 140624032 141757792 142929344 144077120 145162615 146439040 148617040 149845280 152301760 162414208 164829808 164951930 167531936 170272960 173064320 174339220 175780040 177197240 178661680 181447123 187300256 190370752 191944064 193358044 196527848 203017760 206037260 209414920 223319536 226640986 228514052 230356412 232260184 234125320 237787264 237963440 239930080 241697555 245659810 253584320 257741440 263923088 270225791 272459062 278942752 279149420 281248064 283515584 285642565 285858688 287945515 288154240 290325230 297234080 299690560 304603520 319357753 329659616 329903860 335063872 340545920 348678440 351560080 354394480 357323360 362894246 374600512 380741504 386716088 393055696 406035520 412074520 418829840 446639072 453281972 457028104 460712824 464520368 468250640 475926880 479860160 483395110 491319620 507168640 527846176 531734621 540451582 544918124 557885504 558298840 562496128 566602465 567031168 571285130 575891030 580650460 594468160 599381120 628413643 638715506 659319232 659807720 670127744 681147655 697356880 703120160 708788960 714646720 725788492 749201024 773432176 786111392 812071040 824149040 837659680 893278144 906563944 907235615 914056208 921425648 929040736 936501280 951853760 959720320 966790220 982639240 1055692352 1063469242 1080903164 1089836248 1115771008 1116597680 1133204930 1142570260 1151782060 1161300920 1188936320 1256827286 1277431012 1318638464 1319615440 1351128955 1362295310 1394713760 1406240320 1417577920 1429293440 1451576984 1498524841 1546864352 1572222784 1596788765 1648298080 1675319360 1770983903 1786556288 1813127888 1814471230 1828112416 1842851296 1858081472 1873002560 1903707520 1933580440 1965278480 2111384704 2126938484 2161806328 2179672496 2233195360 2266409860 2285140520 2303564120 2322601840 2513654572 2554862024 2639230880 2658673105 2702257910 2724590620 2789427520 2812480640 2835155840 2903153968 2997049682 3093728704 3142068215 3144445568 3193577530 3296596160 3350638720 3512935283 3541967806 3626255776 3628942460 3656224832 3685702592 3716162944 3746005120 3867160880 3930556960 4253876968 4323612656 4359344992 4466390720 4532819720 4570281040 4607128240 4645203680 5027309144 5109724048 5278461760 5317346210 5404515820 5449181240 5578855040 5806307936 5994099364 6187457408 6284136430 6387155060 6593192320 6912550073 7025870566 7083935612 7252511552 7257884920 7312449664 7371405184 7492624205 7734321760 7861113920 8507753936 8647225312 8718689984 8854919515 8932781440 9065639440 9140562080 9214256480 9290407360 10054618288 10219448096 10556923520 10634692420 10809031640 10898362480 11612615872 11988198728 12568272860 12774310120 13825100146 14051741132 14167871224 14505023104 14515769840 14985248410 15468643520 15722227840 16483773251 17015507872 17294450624 17437379968 17564676415 17709839030 18131278880 18281124160 18428512960 18580814720 19480822933 20109236576 20438896192 21269384840 21618063280 21796724960 23225231744 23976397456 25136545720 25548620240 27650200292 28103482264 28335742448 29031539680 29970496820 30937287040 32967546502 34031015744 34562750365 34588901248 35129352830 35419678060 36262557760 36562248320 36857025920 38961645866 40218473152 40877792384 42538769680 43236126560 43593449920 47952794912 50273091440 51097240480 55300400584 56206964528 56671484896 58063079360 59940993640 65935093004 68062031488 69125500730 70258705660 70839356120 72525115520 77923291732 80436946304 82418866255 85077539360 86472253120 87186899840 95905589824 97404114665 100546182880 102194480960 110600801168 112413929056 113342969792 116126158720 119881987280 131870186008 138251001460 140517411320 141678712240 155846583464 164837732510 170155078720 172944506240 191811179648 194808229330 201092365760 204388961920 214289052263 221201602336 224827858112 226685939584 239763974560 263740372016 276502002920 281034822640 283357424480 311693166928 329675465020 340310157440 389616458660 402184731520 428578104526 442403204672 449655716224 479527949120 527480744032 553004005840 562069645280 566714848960 623386333856 659350930040 779232917320 857156209052 884806409344 959055898240 1054961488064 1071445261315 1106008011680 1124139290560 1133429697920 1246772667712 1318701860080 1558465834640 1714312418104 2109922976128 2142890522630 2212016023360 2248278581120 2493545335424 2637403720160 3116931669280 3428624836208 4285781045260 4424032046720 5274807440320 6233863338560 6857249672416 8571562090520 10549614880640 12467726677120 13714499344832 17143124181040 27428998689664 34286248362080 68572496724160 137144993448320
- Sum of all divisors σ(n): 407638226661120
- Sum of proper divisors (its aliquot sum) s(n): 270493233212800
- 137144993448320 is an abundant number, because the sum of its proper divisors (270493233212800) is greater than itself. Its abundance is 133348239764480
Bases of 137144993448320
- Binary: 111110010111011100011101001111000000001100000002
- Hexadecimal: 0x7CBB8E9E0180
- Base-36: 1CM3JG4BY8
Squares and roots of 137144993448320
- 137144993448320 squared (1371449934483202) is 18808749227939735724510822400
- 137144993448320 cubed (1371449934483203) is 2579525789636888914229828986484935098368000
-
The
square root of 137144993448320 is 11710892.0859309435 -
The
cube root of 137144993448320 is 51569.5473429787
Scales and comparisons
How big is 137144993448320?- 137,144,993,448,320 seconds is equal to 4,360,786 years, 29 weeks, 6 days, 1 hour, 25 minutes, 20 seconds.
-
To count from 1 to 137,144,993,448,320 would take you about ten million, nine hundred one thousand, nine hundred sixty-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 137144993448320 cubic inches would be around 4297.5 feet tall.
Recreational maths with 137144993448320
- 137144993448320 backwards is 023844399441731
- 137144993448320 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137144993448320's digits is 62
- More coming soon!
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The information we have on file for 137144993448320 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 137144993448320, math, Factors of 137144993448320, curriculum, school, college, exams, university, Prime factorization of 137144993448320, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, one hundred forty-four billion, nine hundred ninety-three million, four hundred forty-eight thousand, three hundred twenty.