137930893984000
137,930,893,984,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137930893984000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1008 divisors.
137930893984000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 137930893984000:
28 × 53 × 136 × 19 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 13 × 13 × 13 × 13 × 19 × 47)See below for interesting mathematical facts about the number 137930893984000 from the Numbermatics database.
Names of 137930893984000
- Cardinal: 137930893984000 can be written as One hundred thirty-seven trillion, nine hundred thirty billion, eight hundred ninety-three million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.37930893984 × 1014
Factors of 137930893984000
Divisors of 137930893984000
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 47 50 52 64 65 76 80 94 95 100 104 125 128 130 152 160 169 188 190 200 208 235 247 250 256 260 304 320 325 338 376 380 400 416 470 475 494 500 520 608 611 640 650 676 752 760 800 832 845 893 940 950 988 1000 1040 1175 1216 1222 1235 1280 1300 1352 1504 1520 1600 1625 1664 1690 1786 1880 1900 1976 2000 2080 2197 2350 2375 2432 2444 2470 2600 2704 3008 3040 3055 3200 3211 3250 3328 3380 3572 3760 3800 3952 4000 4160 4225 4394 4465 4700 4750 4864 4888 4940 5200 5408 5875 6016 6080 6110 6175 6400 6422 6500 6760 7144 7520 7600 7904 7943 8000 8320 8450 8788 8930 9400 9500 9776 9880 10400 10816 10985 11609 11750 12032 12160 12220 12350 12844 13000 13520 14288 15040 15200 15275 15808 15886 16000 16055 16640 16900 17576 17860 18800 19000 19552 19760 20800 21125 21632 21970 22325 23218 23500 24320 24440 24700 25688 26000 27040 28561 28576 30080 30400 30550 30875 31616 31772 32000 32110 33800 35152 35720 37600 38000 39104 39520 39715 41600 41743 42250 43264 43940 44650 46436 47000 48880 49400 51376 52000 54080 54925 57122 57152 58045 60160 60800 61100 61750 63232 63544 64220 67600 70304 71440 75200 76000 76375 78208 79040 79430 80275 83200 83486 84500 87880 89300 92872 94000 97760 98800 102752 103259 104000 108160 109850 111625 114244 114304 116090 121600 122200 123500 127088 128440 135200 140608 142805 142880 150400 150917 152000 152750 156416 158080 158860 160550 166972 169000 175760 178600 185744 188000 195520 197600 198575 205504 206518 208000 208715 216320 219700 223250 228488 228608 232180 244400 247000 254176 256880 270400 274625 281216 285610 285760 290225 300800 301834 304000 305500 316160 317720 321100 333944 338000 351520 357200 371293 371488 376000 391040 395200 397150 401375 411008 413036 416000 417430 439400 446500 456976 464360 488800 494000 508352 513760 516295 540800 542659 549250 562432 571220 571520 580450 603668 608000 611000 635440 642200 667888 676000 703040 714025 714400 742586 742976 752000 754585 782080 790400 794300 802750 822016 826072 834860 878800 893000 913952 928720 977600 988000 992875 1016704 1027520 1032590 1043575 1081600 1085318 1098500 1142440 1143040 1160900 1207336 1222000 1270880 1284400 1335776 1342367 1352000 1406080 1428050 1428800 1451125 1485172 1485952 1504000 1509170 1580800 1588600 1605500 1652144 1669720 1757600 1786000 1827904 1856465 1857440 1955200 1961921 1976000 1985750 2033408 2055040 2065180 2087150 2170636 2197000 2284880 2321800 2414672 2444000 2541760 2568800 2581475 2671552 2684734 2704000 2713295 2812160 2856100 2857600 2902250 2970344 2971904 3018340 3177200 3211000 3304288 3339440 3515200 3570125 3572000 3655808 3712930 3714880 3772925 3910400 3923842 3952000 3971500 4110080 4130360 4174300 4341272 4394000 4569760 4643600 4826809 4829344 4888000 5083520 5137600 5162950 5217875 5343104 5369468 5408000 5426590 5712200 5715200 5804500 5940688 6036680 6354400 6422000 6608576 6678880 6711835 7030400 7054567 7140250 7144000 7311616 7425860 7429760 7545850 7847684 7904000 7943000 8260720 8348600 8682544 8788000 9139520 9282325 9287200 9653618 9658688 9776000 9809605 10167040 10275200 10325900 10435750 10686208 10738936 10853180 11424400 11609000 11881376 12073360 12708800 12844000 12907375 13217152 13357760 13423670 13566475 14060800 14109134 14280500 14288000 14851720 14859520 15091700 15695368 15886000 16521440 16697200 17365088 17450771 17576000 18279040 18564650 18574400 18864625 19307236 19317376 19552000 19619210 20550400 20651800 20871500 21477872 21706360 22848800 23218000 23762752 24134045 24146720 25417600 25504973 25688000 25814750 26434304 26715520 26847340 27132950 28218268 28561000 28576000 29703440 30183400 31390736 31772000 33042880 33394400 33559175 34730176 34901542 35152000 35272835 36558080 37129300 37148800 37729250 38614472 38634752 39238420 41303600 41743000 42955744 43412720 45697600 46411625 46436000 47525504 48268090 48293440 49048025 50835200 51009946 51376000 51629500 53431040 53694680 54265900 56436536 57122000 59406880 60366800 62781472 63544000 66085760 66788800 67118350 67832375 69460352 69803084 70304000 70545670 74258600 74297600 75458500 77228944 78476840 82607200 83486000 85911488 86825440 87253855 91395200 91709371 92823250 92872000 95051008 96536180 96586880 98096050 102019892 102752000 103259000 107389360 108531800 112873072 114244000 118813760 120670225 120733600 125562944 127088000 127524865 132171520 133577600 134236700 135664750 138920704 139606168 141091340 148517200 150917000 154457888 156953680 165214400 166972000 167795875 171822976 173650880 174507710 176364175 182790400 183418742 185646500 185744000 193072360 193173760 196192100 204039784 206518000 214778720 217063600 225746144 226860023 228488000 237627520 241340450 241467200 245240125 251125888 254176000 255049730 267155200 268473400 271329500 279212336 282182680 297034400 301834000 308915776 313907360 330428800 331564649 333944000 335591750 343645952 347301760 349015420 352728350 366837484 371293000 371488000 386144720 392384200 408079568 413036000 429557440 434127200 436269275 451492288 453720046 456976000 458546855 475255040 482680900 482934400 490480250 502251776 510099460 536946800 542659000 558424672 564365360 594068800 603351125 603668000 617831552 627814720 637624325 660857600 663129298 667888000 671183500 694603520 698030840 705456700 733674968 742586000 772289440 784768400 816159136 826072000 859114880 868254400 872538550 881820875 902984576 907440092 913952000 917093710 965361800 965868800 980960500 1020198920 1073893600 1085318000 1116849344 1128730720 1134300115 1188137600 1206702250 1207336000 1235663104 1255629440 1275248650 1326258596 1335776000 1342367000 1396061680 1410913400 1467349936 1485172000 1544578880 1569536800 1632318272 1652144000 1657823245 1718229760 1736508800 1745077100 1763641750 1805969152 1814880184 1834187420 1930723600 1961921000 2040397840 2147787200 2170636000 2181346375 2233698688 2257461440 2268600230 2292734275 2376275200 2413404500 2414672000 2511258880 2550497300 2652517192 2684734000 2792123360 2821826800 2934699872 2970344000 3089157760 3139073600 3188121625 3264636544 3304288000 3315646490 3473017600 3490154200 3527283500 3629760368 3668374840 3861447200 3923842000 4080795680 4295574400 4310340437 4341272000 4362692750 4467397376 4514922880 4537200460 4585468550 4826809000 4829344000 5100994600 5305034384 5369468000 5584246720 5643653600 5671500575 5869399744 5940688000 6178315520 6278147200 6376243250 6529273088 6631292980 6980308400 7054567000 7259520736 7336749680 7722894400 7847684000 8161591360 8289116225 8591148800 8620680874 8682544000 8725385500 9029845760 9074400920 9170937100 9653618000 10201989200 10610068768 10738936000 11168493440 11287307200 11343001150 11463671375 11738799488 11881376000 12556294400 12752486500 13262585960 13960616800 14109134000 14519041472 14673499360 15445788800 15695368000 16323182720 16578232450 17241361748 17365088000 17450771000 18148801840 18341874200 19307236000 20403978400 21220137536 21477872000 21551702185 22336986880 22574614400 22686002300 22927342750 23477598976 25504973000 26525171920 27921233600 28218268000 28357502875 29038082944 29346998720 30891577600 31390736000 32646365440 33156464900 34482723496 34901542000 36297603680 36683748400 38614472000 40807956800 41445581125 42440275072 42955744000 43103404370 45149228800 45372004600 45854685500 51009946000 53050343840 55842467200 56436536000 56715005750 58076165888 58693997440 62781472000 66312929800 68965446992 69803084000 72595207360 73367496800 77228944000 81615913600 82891162250 84880550144 86206808740 90744009200 91709371000 102019892000 106100687680 107758510925 111684934400 112873072000 113430011500 117387994880 132625859600 137930893984 139606168000 145190414720 146734993600 154457888000 163231827200 165782324500 172413617480 181488018400 183418742000 204039784000 212201375360 215517021850 225746144000 226860023000 265251719200 275861787968 279212336000 290380829440 293469987200 331564649000 344827234960 362976036800 366837484000 408079568000 424402750720 431034043700 453720046000 530503438400 538792554625 551723575936 558424672000 586939974400 663129298000 689654469920 725952073600 733674968000 816159136000 862068087400 907440092000 1061006876800 1077585109250 1103447151872 1326258596000 1379308939840 1451904147200 1467349936000 1724136174800 1814880184000 2122013753600 2155170218500 2652517192000 2758617879680 2934699872000 3448272349600 3629760368000 4310340437000 5305034384000 5517235759360 6896544699200 7259520736000 8620680874000 10610068768000 13793089398400 17241361748000 27586178796800 34482723496000 68965446992000 137930893984000
- Sum of all divisors σ(n): 400164856116480
- Sum of proper divisors (its aliquot sum) s(n): 262233962132480
- 137930893984000 is an abundant number, because the sum of its proper divisors (262233962132480) is greater than itself. Its abundance is 124303068148480
Bases of 137930893984000
- Binary: 111110101110010100010011111000010000001000000002
- Hexadecimal: 0x7D7289F08100
- Base-36: 1CW4KT0A9S
Squares and roots of 137930893984000
- 137930893984000 squared (1379308939840002) is 19024931515225447392256000000
- 137930893984000 cubed (1379308939840003) is 2624125811879421666120231598587904000000000
-
The
square root of 137930893984000 is 11744398.4087734355 -
The
cube root of 137930893984000 is 51667.8651014327
Scales and comparisons
How big is 137930893984000?- 137,930,893,984,000 seconds is equal to 4,385,775 years, 40 weeks, 4 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 137,930,893,984,000 would take you about ten million, nine hundred sixty-four thousand, four hundred thirty-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 137930893984000 cubic inches would be around 4305.7 feet tall.
Recreational maths with 137930893984000
- 137930893984000 backwards is 000489398039731
- 137930893984000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137930893984000's digits is 64
- More coming soon!
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The information we have on file for 137930893984000 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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