126985396456671916800
126,985,396,456,671,916,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 126985396456671916800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
126985396456671916800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 126985396456671916800:
28 × 3 × 52 × 7 × 13 × 941 × 77236313159
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 13 × 941 × 77236313159)See below for interesting mathematical facts about the number 126985396456671916800 from the Numbermatics database.
Names of 126985396456671916800
- Cardinal: 126985396456671916800 can be written as One hundred twenty-six quintillion, nine hundred eighty-five quadrillion, three hundred ninety-six trillion, four hundred fifty-six billion, six hundred seventy-one million, nine hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.269853964566719168 × 1020
Factors of 126985396456671916800
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 77236314130
Divisors of 126985396456671916800
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 50 52 56 60 64 65 70 75 78 80 84 91 96 100 104 105 112 120 128 130 140 150 156 160 168 175 182 192 195 200 208 210 224 240 256 260 273 280 300 312 320 325 336 350 364 384 390 400 416 420 448 455 480 520 525 546 560 600 624 640 650 672 700 728 768 780 800 832 840 896 910 941 960 975 1040 1050 1092 1120 1200 1248 1280 1300 1344 1365 1400 1456 1560 1600 1664 1680 1792 1820 1882 1920 1950 2080 2100 2184 2240 2275 2400 2496 2600 2688 2730 2800 2823 2912 3120 3200 3328 3360 3640 3764 3840 3900 4160 4200 4368 4480 4550 4705 4800 4992 5200 5376 5460 5600 5646 5824 6240 6400 6587 6720 6825 7280 7528 7800 8320 8400 8736 8960 9100 9410 9600 9984 10400 10920 11200 11292 11648 12233 12480 13174 13440 13650 14115 14560 15056 15600 16640 16800 17472 18200 18820 19200 19761 20800 21840 22400 22584 23296 23525 24466 24960 26348 26880 27300 28230 29120 30112 31200 32935 33600 34944 36400 36699 37640 39522 41600 43680 44800 45168 47050 48932 49920 52696 54600 56460 58240 60224 61165 62400 65870 67200 69888 70575 72800 73398 75280 79044 83200 85631 87360 90336 94100 97864 98805 105392 109200 112920 116480 120448 122330 124800 131740 134400 141150 145600 146796 150560 158088 164675 171262 174720 180672 183495 188200 195728 197610 210784 218400 225840 240896 244660 249600 256893 263480 282300 291200 293592 301120 305825 316176 329350 342524 349440 361344 366990 376400 391456 395220 421568 428155 436800 451680 489320 494025 513786 526960 564600 582400 587184 602240 611650 632352 658700 685048 722688 733980 752800 782912 790440 843136 856310 873600 903360 917475 978640 988050 1027572 1053920 1129200 1174368 1204480 1223300 1264704 1284465 1317400 1370096 1467960 1505600 1565824 1580880 1686272 1712620 1747200 1806720 1834950 1957280 1976100 2055144 2107840 2140775 2258400 2348736 2446600 2529408 2568930 2634800 2740192 2935920 3011200 3131648 3161760 3425240 3613440 3669900 3914560 3952200 4110288 4215680 4281550 4516800 4697472 4893200 5058816 5137860 5269600 5480384 5871840 6022400 6323520 6422325 6850480 7339800 7829120 7904400 8220576 8431360 8563100 9033600 9394944 9786400 10275720 10539200 10960768 11743680 12647040 12844650 13700960 14679600 15658240 15808800 16441152 17126200 18067200 19572800 20551440 21078400 21921536 23487360 25294080 25689300 27401920 29359200 31617600 32882304 34252400 39145600 41102880 42156800 46974720 51378600 54803840 58718400 63235200 65764608 68504800 78291200 82205760 102757200 109607680 117436800 126470400 137009600 164411520 205514400 234873600 274019200 328823040 411028800 548038400 822057600 1644115200 77236313159 154472626318 231708939477 308945252636 386181565795 463417878954 540654192113 617890505272 772363131590 926835757908 1004072071067 1081308384226 1158544697385 1235781010544 1544726263180 1621962576339 1853671515816 1930907828975 2008144142134 2162616768452 2317089394770 2471562021088 2703270960565 3012216213201 3089452526360 3243925152678 3707343031632 3861815657950 4016288284268 4325233536904 4634178789540 4943124042176 5020360355335 5406541921130 5792723486925 6024432426402 6178905052720 6487850305356 7028504497469 7414686063264 7723631315900 8032576568536 8109812881695 8650467073808 9268357579080 9886248084352 10040720710670 10813083842260 11585446973850 12048864852804 12357810105440 12975700610712 13516354802825 14057008994938 14829372126528 15061081066005 15447262631800 16065153137072 16219625763390 17300934147616 18536715158160 19772496168704 20081441421340 21085513492407 21626167684520 23170893947700 24097729705608 24715620210880 25101801776675 25951401221424 27032709605650 28114017989876 29658744253056 30122162132010 30894525263600 32130306274144 32439251526780 34601868295232 35142522487345 37073430316320 40162882842680 40549064408475 42171026984814 43252335369040 46341787895400 48195459411216 49431240421760 50203603553350 51902802442848 54065419211300 56228035979752 59317488506112 60244324264020 61789050527200 64260612548288 64878503053560 69203736590464 70285044974690 72679370682619 74146860632640 75305405330025 80325765685360 81098128816950 84342053969628 86504670738080 92683575790800 96390918822432 98862480843520 100407207106700 103805604885696 105427567462035 108130838422600 112456071959504 120488648528040 123578101054400 128521225096576 129757006107120 138407473180928 140570089949380 145358741365238 148293721265280 150610810660050 160651531370720 162196257633900 168684107939256 173009341476160 175712612436725 185367151581600 192781837644864 200814414213400 207611209771392 210855134924070 216261676845200 218038112047857 224912143919008 240977297056080 247156202108800 257042450193152 259514012214240 281140179898760 290717482730476 296587442530560 301221621320100 321303062741440 324392515267800 337368215878512 346018682952320 351425224873450 363396853413095 370734303163200 385563675289728 401628828426800 415222419542784 421710269848140 432523353690400 436076224095714 449824287838016 481954594112160 494312404217600 508755594778333 519028024428480 527137837310175 562280359797520 581434965460952 602443242640200 642606125482880 648785030535600 674736431757024 692037365904640 702850449746900 726793706826190 741468606326400 771127350579456 803257656853600 843420539696280 865046707380800 872152448191428 899648575676032 944831818874047 963909188224320 1017511189556666 1038056048856960 1054275674620350 1090190560239285 1124560719595040 1162869930921904 1204886485280400 1285212250965760 1297570061071200 1349472863514048 1405700899493800 1453587413652380 1482937212652800 1526266784334999 1606515313707200 1686841079392560 1730093414761600 1744304896382856 1799297151352064 1816984267065475 1889663637748094 1927818376448640 2035022379113332 2076112097713920 2108551349240700 2180381120478570 2249121439190080 2325739861843808 2409772970560800 2543777973891665 2595140122142400 2698945727028096 2811401798987600 2834495456622141 2907174827304760 3052533568669998 3213030627414400 3373682158785120 3460186829523200 3488609792765712 3633968534130950 3779327275496188 3855636752897280 4070044758226664 4217102698481400 4360762240957140 4498242878380160 4651479723687616 4724159094370235 4819545941121600 5087555947783330 5190280244284800 5397891454056192 5450952801196425 5622803597975200 5668990913244282 5814349654609520 6105067137339996 6426061254828800 6613822732118329 6747364317570240 6977219585531424 7267937068261900 7558654550992376 7631333921674995 8140089516453328 8434205396962800 8721524481914280 8996485756760320 9302959447375232 9448318188740470 9639091882243200 10175111895566660 10380560488569600 10901905602392850 11245607195950400 11337981826488564 11628699309219040 12210134274679992 12718889869458325 13227645464236658 13494728635140480 13954439171062848 14172477283110705 14535874136523800 15117309101984752 15262667843349990 16280179032906656 16868410793925600 17443048963828560 18605918894750464 18896636377480940 19278183764486400 19841468196354987 20350223791133320 21803811204785700 22491214391900800 22675963652977128 23257398618438080 23620795471851175 24420268549359984 25437779738916650 26455290928473316 26989457270280960 27908878342125696 28344954566221410 29071748273047600 30234618203969504 30525335686699980 32560358065813312 33069113660591645 33736821587851200 34886097927657120 37793272754961880 38156669608374975 39682936392709974 40700447582266640 43607622409571400 44982428783801600 45351927305954256 46514797236876160 47241590943702350 48840537098719968 50875559477833300 52910581856946632 55817756684251392 56689909132442820 58143496546095200 60469236407939008 61050671373399960 65120716131626624 66138227321183290 67473643175702400 69772195855314240 70862386415553525 75586545509923760 76313339216749950 79365872785419948 81400895164533280 87215244819142800 90703854611908512 93029594473752320 94483181887404700 97681074197439936 99207340981774935 101751118955666600 105821163713893264 113379818264885640 116286993092190400 120938472815878016 122101342746799920 130241432263253248 132276454642366580 134947286351404800 139544391710628480 141724772831107050 151173091019847520 152626678433499900 158731745570839896 162801790329066560 165345568302958225 174430489638285600 181407709223817024 188966363774809400 195362148394879872 198414681963549870 203502237911333200 211642327427786528 226759636529771280 232573986184380800 241876945631756032 244202685493599840 264552909284733160 279088783421256960 283449545662214100 302346182039695040 305253356866999800 317463491141679792 325603580658133120 330691136605916450 348860979276571200 362815418447634048 377932727549618800 390724296789759744 396829363927099740 407004475822666400 423284654855573056 453519273059542560 465147972368761600 488405370987199680 496036704908874675 529105818569466320 566899091324428200 604692364079390080 610506713733999600 634926982283359584 651207161316266240 661382273211832900 697721958553142400 725630836895268096 755865455099237600 793658727854199480 814008951645332800 846569309711146112 907038546119085120 976810741974399360 992073409817749350 1058211637138932640 1133798182648856400 1209384728158780160 1221013427467999200 1269853964566719168 1322764546423665800 1395443917106284800 1511730910198475200 1587317455708398960 1628017903290665600 1693138619422292224 1814077092238170240 1953621483948798720 1984146819635498700 2116423274277865280 2267596365297712800 2442026854935998400 2539707929133438336 2645529092847331600 3023461820396950400 3174634911416797920 3256035806581331200 3628154184476340480 3968293639270997400 4232846548555730560 4535192730595425600 4884053709871996800 5079415858266876672 5291058185694663200 6046923640793900800 6349269822833595840 7936587278541994800 8465693097111461120 9070385461190851200 9768107419743993600 10582116371389326400 12698539645667191680 15873174557083989600 18140770922381702400 21164232742778652800 25397079291334383360 31746349114167979200 42328465485557305600 63492698228335958400 126985396456671916800
- Sum of all divisors σ(n): 516336760322898600960
- Sum of proper divisors (its aliquot sum) s(n): 389351363866226684160
- 126985396456671916800 is an abundant number, because the sum of its proper divisors (389351363866226684160) is greater than itself. Its abundance is 262365967409554767360
Bases of 126985396456671916800
- Binary: 11011100010010001101100000101000111101001100001001110110011000000002
- Hexadecimal: 0x6E246C147A613B300
- Base-36: QSRX272J1XQTC
Squares and roots of 126985396456671916800
- 126985396456671916800 squared (1269853964566719168002) is 16125290913258144602403345193786122240000
- 126985396456671916800 cubed (1269853964566719168003) is 2047676459599254652876670769948737008329182932579909632000000
-
The
square root of 126985396456671916800 is 11268779723.4958815571 -
The
cube root of 126985396456671916800 is 5026333.0236611381
Scales and comparisons
How big is 126985396456671916800?- 126,985,396,456,671,916,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 126,985,396,456,671,916,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 126985396456671916800 cubic inches would be around 418861.1 feet tall.
Recreational maths with 126985396456671916800
- 126985396456671916800 backwards is 008619176654693589621
- The number of decimal digits it has is: 21
- The sum of 126985396456671916800's digits is 102
- More coming soon!
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The information we have on file for 126985396456671916800 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 126985396456671916800, math, Factors of 126985396456671916800, curriculum, school, college, exams, university, Prime factorization of 126985396456671916800, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty-six quintillion, nine hundred eighty-five quadrillion, three hundred ninety-six trillion, four hundred fifty-six billion, six hundred seventy-one million, nine hundred sixteen thousand, eight hundred.